(%i1) batch("diffeq.max")
read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max
(%i2) load("stringproc")
(%o2) /usr/share/maxima/5.31.3/share/stringproc/stringproc.mac
(%i3) alias(convfloat,float)
(%o3) [convfloat]
(%i4) alias(int_trunc,truncate)
(%o4) [truncate]
(%i5) alias(elapsed_time_seconds,elapsed_real_time)
(%o5) [elapsed_time_seconds]
(%i6) alias(ln,log)
(%o6) [log]
(%i7) alias(arcsin,asin)
(%o7) [asin]
(%i8) alias(arccos,acos)
(%o8) [acos]
(%i9) alias(arctan,atan)
(%o9) [atan]
(%i10) alias(float_abs,abs)
(%o10) [mabs]
(%i11) keepfloat:true
(%o11) true
(%i12) mode_declare(display_poles(),fixnum)
(%o12) [display_poles()]
(%i13) mode_declare(est_size_answer(),convfloat)
(%o13) [est_size_answer()]
(%i14) mode_declare(test_suggested_h(),convfloat)
(%o14) [test_suggested_h()]
(%i15) mode_declare(reached_interval(),boolean)
(%o15) [reached_interval()]
(%i16) mode_declare(display_alot([iter],fixnum),fixnum)
(%o16) [display_alot([iter], fixnum)]
(%i17) mode_declare(adjust_for_pole([h_param],convfloat),convfloat)
(%o17) [adjust_for_pole([h_param], convfloat)]
(%i18) mode_declare(prog_report([x_start],convfloat,[x_end],convfloat),fixnum)
(%o18) [prog_report([x_start], convfloat, [x_end], convfloat)]
(%i19) mode_declare(check_for_pole(),fixnum)
(%o19) [check_for_pole()]
(%i20) mode_declare(atomall(),fixnum)
(%o20) [atomall()]
(%i21) mode_declare(log10([x],convfloat),convfloat)
(%o21) [log10([x], convfloat)]
(%i22) mode_declare(logitem_timestr([fd],fixnum,[secs_in],number),fixnum)
(%o22) [logitem_timestr([fd], fixnum, [secs_in], number)]
(%i23) mode_declare(omniout_timestr(secs_in,number),fixnum)
(%o23) [omniout_timestr(secs_in, number)]
(%i24) mode_declare(zero_ats_ar(ar,array([MAX_TERMS],convfloat)),fixnum)
(%o24) [zero_ats_ar(ar, array([MAX_TERMS], convfloat))]
(%i25) mode_declare(ats([mmm_ats],fixnum,[arr_a],
completearray([MAX_TERMS],convfloat),[arr_b],
completearray([MAX_TERMS],convfloat),[jjj_ats],
fixnum),convfloat)
(%o25) [ats([mmm_ats], fixnum, [arr_a], completearray([MAX_TERMS], convfloat),
[arr_b], completearray([MAX_TERMS], convfloat), [jjj_ats], fixnum)]
(%i26) mode_declare(att([mmm_att],fixnum,[arr_a],
completearray([MAX_TERMS],convfloat),[arr_b],
completearray([MAX_TERMS],convfloat),[jjj_att],
fixnum),convfloat)
(%o26) [att([mmm_att], fixnum, [arr_a], completearray([MAX_TERMS], convfloat),
[arr_b], completearray([MAX_TERMS], convfloat), [jjj_att], fixnum)]
(%i27) mode_declare(logitem_ditto([file],fixnum),fixnum)
(%o27) [logitem_ditto([file], fixnum)]
(%i28) mode_declare(logitem_integer([file],fixnum,[n],fixnum),fixnum)
(%o28) [logitem_integer([file], fixnum, [n], fixnum)]
(%i29) mode_declare(logitem_good_digits([file],fixnum,[relerror],convfloat),fixnum)
(%o29) [logitem_good_digits([file], fixnum, [relerror], convfloat)]
(%i30) mode_declare(logitem_number([file],fixnum,[x],number),fixnum)
(%o30) [logitem_number([file], fixnum, [x], number)]
(%i31) mode_declare(logitem_pole([file],fixnum,[pole],fixnum),fixnum)
(%o31) [logitem_pole([file], fixnum, [pole], fixnum)]
(%i32) mode_declare(logstart([file],fixnum),fixnum)
(%o32) [logstart([file], fixnum)]
(%i33) mode_declare(logend([file],fixnum),fixnum)
(%o33) [logend([file], fixnum)]
(%i34) mode_declare(chk_data(),fixnum)
(%o34) [chk_data()]
(%i35) mode_declare(comp_expect_sec([t_end2],convfloat,[t_start2],convfloat,
[t2],convfloat,[clock_sec2],convfloat),
convfloat)
(%o35) [comp_expect_sec([t_end2], convfloat, [t_start2], convfloat, [t2],
convfloat, [clock_sec2], convfloat)]
(%i36) mode_declare(comp_percent([t_end2],convfloat,[start2],convfloat,[t2],
convfloat),convfloat)
(%o36) [comp_percent([t_end2], convfloat, [start2], convfloat, [t2],
convfloat)]
(%i37) mode_declare(comp_rad_from_ratio([term1],convfloat,[term2],convfloat,
[last_no],fixnum),convfloat)
(%o37) [comp_rad_from_ratio([term1], convfloat, [term2], convfloat, [last_no],
fixnum)]
(%i38) mode_declare(comp_ord_from_ratio([term1],convfloat,[term2],convfloat,
[last_no],fixnum),convfloat)
(%o38) [comp_ord_from_ratio([term1], convfloat, [term2], convfloat, [last_no],
fixnum)]
(%i39) mode_declare(comp_rad_from_three_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[last_no],fixnum),convfloat)
(%o39) [comp_rad_from_three_terms([term1], convfloat, [term2], convfloat,
[term3], convfloat, [last_no], fixnum)]
(%i40) mode_declare(comp_ord_from_three_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[last_no],fixnum),convfloat)
(%o40) [comp_ord_from_three_terms([term1], convfloat, [term2], convfloat,
[term3], convfloat, [last_no], fixnum)]
(%i41) mode_declare(comp_rad_from_six_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[term4],convfloat,[term5],
convfloat,[term6],convfloat,
[last_no],fixnum),convfloat)
(%o41) [comp_rad_from_six_terms([term1], convfloat, [term2], convfloat,
[term3], convfloat, [term4], convfloat, [term5], convfloat, [term6],
convfloat, [last_no], fixnum)]
(%i42) mode_declare(comp_ord_from_six_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[term4],convfloat,[term5],
convfloat,[term6],convfloat,
[last_no],fixnum),convfloat)
(%o42) [comp_ord_from_six_terms([term1], convfloat, [term2], convfloat,
[term3], convfloat, [term4], convfloat, [term5], convfloat, [term6],
convfloat, [last_no], fixnum)]
(%i43) mode_declare(factorial_2([nnn],fixnum),fixnum)
(%o43) [factorial_2([nnn], fixnum)]
(%i44) mode_declare(factorial_1([nnn],fixnum),fixnum)
(%o44) [factorial_1([nnn], fixnum)]
(%i45) mode_declare(factorial_3([mmm],fixnum,[nnn],fixnum),fixnum)
(%o45) [factorial_3([mmm], fixnum, [nnn], fixnum)]
(%i46) mode_declare(convfloat([mmm],fixnum),convfloat)
(%o46) [convfloat([mmm], fixnum)]
(%i47) mode_declare(elaped_time_seconds(),convfloat)
(%o47) [elaped_time_seconds()]
(%i48) mode_declare(Si([x],convfloat),convfloat)
(%o48) [Si([x], convfloat)]
(%i49) mode_declare(Ci([x],convfloat),convfloat)
(%o49) [Ci([x], convfloat)]
(%i50) mode_declare(estimated_needed_step_error([x_start],convfloat,[x_end],
convfloat,[estimated_h],
convfloat,[estimated_answer],
convfloat),convfloat)
(%o50) [estimated_needed_step_error([x_start], convfloat, [x_end], convfloat,
[estimated_h], convfloat, [estimated_answer], convfloat)]
(%i51) mode_declare(my_check_sign([x0],convfloat,[xf],convfloat),convfloat)
(%o51) [my_check_sign([x0], convfloat, [xf], convfloat)]
(%i52) mode_declare(main_prog(),fixnum)
(%o52) [main_prog()]
(%i53) define_variable(MAX_TERMS,30,fixnum)
(%o53) 30
(%i54) define_variable(glob_iolevel,5,fixnum)
(%o54) 5
(%i55) define_variable(glob_yes_pole,4,fixnum)
(%o55) 4
(%i56) define_variable(glob_no_pole,3,fixnum)
(%o56) 3
(%i57) define_variable(glob_not_given,0,fixnum)
(%o57) 0
(%i58) define_variable(glob_no_sing_tests,4,fixnum)
(%o58) 4
(%i59) define_variable(glob_ratio_test,1,fixnum)
(%o59) 1
(%i60) define_variable(glob_three_term_test,2,fixnum)
(%o60) 2
(%i61) define_variable(glob_six_term_test,3,fixnum)
(%o61) 3
(%i62) define_variable(glob_log_10,log(10.0),convfloat)
(%o62) 2.302585092994046
(%i63) define_variable(ALWAYS,1,fixnum)
(%o63) 1
(%i64) define_variable(INFO,2,fixnum)
(%o64) 2
(%i65) define_variable(DEBUGL,3,fixnum)
(%o65) 3
(%i66) define_variable(DEBUGMASSIVE,4,fixnum)
(%o66) 4
(%i67) define_variable(MAX_UNCHANGED,10,fixnum)
(%o67) 10
(%i68) define_variable(glob_check_sign,1.0,convfloat)
(%o68) 1.0
(%i69) define_variable(glob_desired_digits_correct,8.0,convfloat)
(%o69) 8.0
(%i70) define_variable(glob_max_estimated_step_error,0.0,convfloat)
(%o70) 0.0
(%i71) define_variable(glob_ratio_of_radius,0.1,convfloat)
(%o71) 0.1
(%i72) define_variable(glob_percent_done,0.0,convfloat)
(%o72) 0.0
(%i73) define_variable(glob_subiter_method,3,fixnum)
(%o73) 3
(%i74) define_variable(glob_total_exp_sec,0.1,convfloat)
(%o74) 0.1
(%i75) define_variable(glob_optimal_expect_sec,0.1,convfloat)
(%o75) 0.1
(%i76) define_variable(glob_estimated_size_answer,100.0,convfloat)
(%o76) 100.0
(%i77) define_variable(glob_html_log,true,boolean)
(%o77) true
(%i78) define_variable(glob_good_digits,0,fixnum)
(%o78) 0
(%i79) define_variable(glob_max_opt_iter,10,fixnum)
(%o79) 10
(%i80) define_variable(glob_dump,false,boolean)
(%o80) false
(%i81) define_variable(glob_djd_debug,true,boolean)
(%o81) true
(%i82) define_variable(glob_display_flag,true,boolean)
(%o82) true
(%i83) define_variable(glob_djd_debug2,true,boolean)
(%o83) true
(%i84) define_variable(glob_sec_in_minute,60,fixnum)
(%o84) 60
(%i85) define_variable(glob_min_in_hour,60.0,convfloat)
(%o85) 60.0
(%i86) define_variable(glob_hours_in_day,24.0,convfloat)
(%o86) 24.0
(%i87) define_variable(glob_days_in_year,365,fixnum)
(%o87) 365
(%i88) define_variable(glob_sec_in_hour,3600,fixnum)
(%o88) 3600
(%i89) define_variable(glob_sec_in_day,86400,fixnum)
(%o89) 86400
(%i90) define_variable(glob_sec_in_year,31536000,fixnum)
(%o90) 31536000
(%i91) define_variable(glob_almost_1,0.999,convfloat)
(%o91) 0.999
(%i92) define_variable(glob_clock_sec,0.0,convfloat)
(%o92) 0.0
(%i93) define_variable(glob_clock_start_sec,0.0,convfloat)
(%o93) 0.0
(%i94) define_variable(glob_not_yet_finished,true,boolean)
(%o94) true
(%i95) define_variable(glob_initial_pass,true,boolean)
(%o95) true
(%i96) define_variable(glob_not_yet_start_msg,true,boolean)
(%o96) true
(%i97) define_variable(glob_reached_optimal_h,false,boolean)
(%o97) false
(%i98) define_variable(glob_optimal_done,false,boolean)
(%o98) false
(%i99) define_variable(glob_disp_incr,0.1,convfloat)
(%o99) 0.1
(%i100) define_variable(glob_h,0.1,convfloat)
(%o100) 0.1
(%i101) define_variable(glob_diff_rc_fm,0.1,convfloat)
(%o101) 0.1
(%i102) define_variable(glob_diff_rc_fmm1,0.1,convfloat)
(%o102) 0.1
(%i103) define_variable(glob_diff_rc_fmm2,0.1,convfloat)
(%o103) 0.1
(%i104) define_variable(glob_diff_ord_fm,0.1,convfloat)
(%o104) 0.1
(%i105) define_variable(glob_diff_ord_fmm1,0.1,convfloat)
(%o105) 0.1
(%i106) define_variable(glob_diff_ord_fmm2,0.1,convfloat)
(%o106) 0.1
(%i107) define_variable(glob_six_term_ord_save,0.1,convfloat)
(%o107) 0.1
(%i108) define_variable(glob_guess_error_rc,0.1,convfloat)
(%o108) 0.1
(%i109) define_variable(glob_guess_error_ord,0.1,convfloat)
(%o109) 0.1
(%i110) define_variable(glob_max_h,0.1,convfloat)
(%o110) 0.1
(%i111) define_variable(glob_min_h,1.0E-6,convfloat)
(%o111) 1.0E-6
(%i112) define_variable(glob_type_given_pole,0,fixnum)
(%o112) 0
(%i113) define_variable(glob_large_float,1.0E+100,convfloat)
(%o113) 1.0E+100
(%i114) define_variable(glob_larger_float,1.1E+100,convfloat)
(%o114) 1.1E+100
(%i115) define_variable(glob_least_given_sing,9.9E+100,convfloat)
(%o115) 9.9E+100
(%i116) define_variable(glob_least_ratio_sing,9.9E+100,convfloat)
(%o116) 9.9E+100
(%i117) define_variable(glob_least_3_sing,9.9E+100,convfloat)
(%o117) 9.9E+100
(%i118) define_variable(glob_least_6_sing,9.9E+100,convfloat)
(%o118) 9.9E+100
(%i119) define_variable(glob_last_good_h,0.1,convfloat)
(%o119) 0.1
(%i120) define_variable(glob_look_poles,false,boolean)
(%o120) false
(%i121) define_variable(glob_neg_h,false,boolean)
(%o121) false
(%i122) define_variable(glob_display_interval,0.0,convfloat)
(%o122) 0.0
(%i123) define_variable(glob_next_display,0.0,convfloat)
(%o123) 0.0
(%i124) define_variable(glob_dump_analytic,false,boolean)
(%o124) false
(%i125) define_variable(glob_abserr,1.0E-11,convfloat)
(%o125) 1.0E-11
(%i126) define_variable(glob_relerr,1.0E-11,convfloat)
(%o126) 1.0E-11
(%i127) define_variable(glob_min_pole_est,1.0E+9,convfloat)
(%o127) 1.0E+9
(%i128) define_variable(glob_max_hours,0.0,convfloat)
(%o128) 0.0
(%i129) define_variable(glob_max_iter,1000,fixnum)
(%o129) 1000
(%i130) define_variable(glob_max_rel_trunc_err,1.0E-11,convfloat)
(%o130) 1.0E-11
(%i131) define_variable(glob_max_trunc_err,1.0E-11,convfloat)
(%o131) 1.0E-11
(%i132) define_variable(glob_no_eqs,0,fixnum)
(%o132) 0
(%i133) define_variable(glob_optimal_clock_start_sec,0.0,convfloat)
(%o133) 0.0
(%i134) define_variable(glob_optimal_start,0.0,convfloat)
(%o134) 0.0
(%i135) define_variable(glob_upper_ratio_limit,1.0001,convfloat)
(%o135) 1.0001
(%i136) define_variable(glob_lower_ratio_limit,0.9999,convfloat)
(%o136) 0.9999
(%i137) define_variable(glob_small_float,0.0,convfloat)
(%o137) 0.0
(%i138) define_variable(glob_smallish_float,0.0,convfloat)
(%o138) 0.0
(%i139) define_variable(glob_unchanged_h_cnt,0,fixnum)
(%o139) 0
(%i140) define_variable(glob_warned,false,boolean)
(%o140) false
(%i141) define_variable(glob_warned2,false,boolean)
(%o141) false
(%i142) define_variable(glob_max_sec,10000.0,convfloat)
(%o142) 10000.0
(%i143) define_variable(glob_orig_start_sec,0.0,convfloat)
(%o143) 0.0
(%i144) define_variable(glob_start,0,fixnum)
(%o144) 0
(%i145) define_variable(glob_curr_iter_when_opt,0,fixnum)
(%o145) 0
(%i146) define_variable(glob_current_iter,0,fixnum)
(%o146) 0
(%i147) define_variable(glob_iter,0,fixnum)
(%o147) 0
(%i148) define_variable(glob_normmax,0.0,convfloat)
(%o148) 0.0
(%i149) define_variable(glob_max_minutes,0.0,convfloat)
(%o149) 0.0
(%i150) array(array_y_init,MAX_TERMS)
(%o150) array_y_init
(%i151) array(array_norms,MAX_TERMS)
(%o151) array_norms
(%i152) array(array_fact_1,MAX_TERMS)
(%o152) array_fact_1
(%i153) array(array_1st_rel_error,2)
(%o153) array_1st_rel_error
(%i154) array(array_last_rel_error,2)
(%o154) array_last_rel_error
(%i155) array(array_type_pole,2)
(%o155) array_type_pole
(%i156) array(array_type_real_pole,2)
(%o156) array_type_real_pole
(%i157) array(array_type_complex_pole,2)
(%o157) array_type_complex_pole
(%i158) array(array_y,MAX_TERMS)
(%o158) array_y
(%i159) array(array_x,MAX_TERMS)
(%o159) array_x
(%i160) array(array_tmp0,MAX_TERMS)
(%o160) array_tmp0
(%i161) array(array_tmp1_g,MAX_TERMS)
(%o161) array_tmp1_g
(%i162) array(array_tmp1,MAX_TERMS)
(%o162) array_tmp1
(%i163) array(array_tmp2,MAX_TERMS)
(%o163) array_tmp2
(%i164) array(array_m1,MAX_TERMS)
(%o164) array_m1
(%i165) array(array_y_higher,2,MAX_TERMS)
(%o165) array_y_higher
(%i166) array(array_y_higher_work,2,MAX_TERMS)
(%o166) array_y_higher_work
(%i167) array(array_y_higher_work2,2,MAX_TERMS)
(%o167) array_y_higher_work2
(%i168) array(array_y_set_initial,2,MAX_TERMS)
(%o168) array_y_set_initial
(%i169) array(array_given_rad_poles,2,3)
(%o169) array_given_rad_poles
(%i170) array(array_given_ord_poles,2,3)
(%o170) array_given_ord_poles
(%i171) array(array_rad_test_poles,2,3)
(%o171) array_rad_test_poles
(%i172) array(array_ord_test_poles,2,3)
(%o172) array_ord_test_poles
(%i173) array(array_fact_2,MAX_TERMS,MAX_TERMS)
(%o173) array_fact_2
(%i174) omniout_str(iolevel,str):=if glob_iolevel >= iolevel
then printf(true,"~a~%",string(str))
(%o174) omniout_str(iolevel, str) := if glob_iolevel >= iolevel
then printf(true, "~a~%", string(str))
(%i175) omniout_str_noeol(iolevel,str):=if glob_iolevel >= iolevel
then printf(true,"~a",string(str))
(%o175) omniout_str_noeol(iolevel, str) :=
if glob_iolevel >= iolevel then printf(true, "~a", string(str))
(%i176) omniout_labstr(iolevel,label,str):=if glob_iolevel >= iolevel
then printf(true,"~a = ~a~%",string(label),
string(str))
(%o176) omniout_labstr(iolevel, label, str) :=
if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label),
string(str))
(%i177) omniout_float(iolevel,prelabel,prelen,value,vallen,postlabel):=if
glob_iolevel >= iolevel
then (if vallen = 4
then printf(true,"~a = ~g ~s ~%",prelabel,
value,postlabel)
else printf(true,"~a = ~g ~s ~%",prelabel,
value,postlabel))
(%o177) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (if vallen = 4
then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)
else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel))
(%i178) omniout_int(iolevel,prelabel,prelen,value,vallen,postlabel):=if
glob_iolevel >= iolevel
then (printf(true,"~a = ~d ~a~%",prelabel,value,
postlabel),newline())
(%o178) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value,
postlabel), newline())
(%i179) omniout_float_arr(iolevel,prelabel,elemnt,prelen,value,vallen,
postlabel):=if glob_iolevel >= iolevel
then (sprint(prelabel,"[",elemnt,"]=",value,
postlabel),newline())
(%o179) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen,
postlabel) := if glob_iolevel >= iolevel
then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline())
(%i180) logitem_time(fd,secs_in):=(
block(mode_declare(
[[days_int,hours_int,minutes_int,sec_int,
years_int],fixnum,[secs,secs_temp],convfloat]),
secs:secs_in,printf(fd,"
~%"),
if secs >= 0
then (years_int
:truncate(secs/glob_sec_in_year),
sec_temp
:mod(truncate(secs),
truncate(glob_sec_in_year)),
days_int
:truncate(sec_temp/glob_sec_in_day),
sec_temp
:mod(sec_temp,
truncate(glob_sec_in_day)),
hours_int
:truncate(sec_temp/glob_sec_in_hour),
sec_temp
:mod(sec_temp,
truncate(glob_sec_in_hour)),
minutes_int
:truncate(sec_temp/glob_sec_in_minute),
sec_int
:mod(sec_temp,
truncate(glob_sec_in_minute)),
if truncate(years_int) > 0.1
then printf(fd,
"~d Years ~f Days ~f Hours ~f Minutes ~f Seconds~%",
years_int,days_int,
hours_int,minutes_int,
sec_int)
elseif days_int > 0.1
then printf(fd,
"~d Days ~d Hours ~d Minutes ~d Seconds~%",
days_int,hours_int,
minutes_int,sec_int)
elseif hours_int > 0.1
then printf(fd,
"~d Hours ~d Minutes ~d Seconds~%",
hours_int,minutes_int,
sec_int)
elseif minutes_int > 0.1
then printf(fd,
"~d Minutes ~d Seconds~%",
minutes_int,sec_int)
else printf(fd,"~d Seconds~%",
sec_int))
else printf(fd," 0.0 Seconds~%"),
printf(fd," | ~%")),0)
(%o180) logitem_time(fd, secs_in) := (block(mode_declare([[days_int,
hours_int, minutes_int, sec_int, years_int], fixnum, [secs, secs_temp],
convfloat]), secs : secs_in, printf(fd, "~%"),
secs
if secs >= 0 then (years_int : truncate(----------------),
glob_sec_in_year
sec_temp : mod(truncate(secs), truncate(glob_sec_in_year)),
sec_temp
days_int : truncate(---------------), sec_temp :
glob_sec_in_day
mod(sec_temp, truncate(glob_sec_in_day)),
sec_temp
hours_int : truncate(----------------),
glob_sec_in_hour
sec_temp : mod(sec_temp, truncate(glob_sec_in_hour)),
sec_temp
minutes_int : truncate(------------------),
glob_sec_in_minute
sec_int : mod(sec_temp, truncate(glob_sec_in_minute)),
if truncate(years_int) > 0.1 then printf(fd,
"~d Years ~f Days ~f Hours ~f Minutes ~f Seconds~%", years_int, days_int,
hours_int, minutes_int, sec_int) elseif days_int > 0.1
then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0.1
then printf(fd, "~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int,
sec_int) elseif minutes_int > 0.1 then printf(fd, "~d Minutes ~d Seconds~%",
minutes_int, sec_int) else printf(fd, "~d Seconds~%", sec_int))
else printf(fd, " 0.0 Seconds~%"), printf(fd, " | ~%")), 0)
(%i181) omniout_timestr(secs_in):=(
block(mode_declare(
[[days_int,hours_int,minutes_int,sec_int,
years_int],fixnum,[secs,secs_temp],
convfloat]),secs:secs_in,
if secs >= 0
then (
years_int:truncate(secs/glob_sec_in_year),
sec_temp
:mod(truncate(secs),
truncate(glob_sec_in_year)),
days_int:truncate(sec_temp/glob_sec_in_day),
sec_temp
:mod(sec_temp,truncate(glob_sec_in_day)),
hours_int
:truncate(sec_temp/glob_sec_in_hour),
sec_temp
:mod(sec_temp,truncate(glob_sec_in_hour)),
minutes_int
:truncate(sec_temp/glob_sec_in_minute),
sec_int
:mod(sec_temp,
truncate(glob_sec_in_minute)),
if years_int > 0
then printf(true,
"= ~f Years ~f Days ~f Hours ~f Minutes ~f Seconds~%",
years_int,days_int,
hours_int,minutes_int,
sec_int)
elseif days_int > 0.1
then printf(true,
"= ~d Days ~d Hours ~d Minutes ~d Seconds~%",
days_int,hours_int,
minutes_int,sec_int)
elseif hours_int > 0.1
then printf(true,
"= ~d Hours ~d Minutes ~d Seconds~%",
hours_int,minutes_int,
sec_int)
elseif minutes_int > 0.1
then printf(true,
"= ~d Minutes ~d Seconds~%",
minutes_int,sec_int)
else printf(true,"= ~d Seconds~%",
sec_int))
else printf(true,"= 0.0 Seconds~%")),0)
(%o181) omniout_timestr(secs_in) := (block(mode_declare([[days_int, hours_int,
minutes_int, sec_int, years_int], fixnum, [secs, secs_temp], convfloat]),
secs
secs : secs_in, if secs >= 0 then (years_int : truncate(----------------),
glob_sec_in_year
sec_temp : mod(truncate(secs), truncate(glob_sec_in_year)),
sec_temp
days_int : truncate(---------------), sec_temp :
glob_sec_in_day
mod(sec_temp, truncate(glob_sec_in_day)),
sec_temp
hours_int : truncate(----------------),
glob_sec_in_hour
sec_temp : mod(sec_temp, truncate(glob_sec_in_hour)),
sec_temp
minutes_int : truncate(------------------),
glob_sec_in_minute
sec_int : mod(sec_temp, truncate(glob_sec_in_minute)),
if years_int > 0 then printf(true,
"= ~f Years ~f Days ~f Hours ~f Minutes ~f Seconds~%", years_int, days_int,
hours_int, minutes_int, sec_int) elseif days_int > 0.1
then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0.1
then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int,
minutes_int, sec_int) elseif minutes_int > 0.1
then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int)
else printf(true, "= ~d Seconds~%", sec_int))
else printf(true, "= 0.0 Seconds~%")), 0)
(%i182) zero_ats_ar(arr_a):=(
block(modedcclare([iii],fixnum),iii:1,
while iii <= MAX_TERMS do
(arr_a[iii]:0.0,iii:1+iii)),0)
(%o182) zero_ats_ar(arr_a) := (block(modedcclare([iii], fixnum), iii : 1,
while iii <= MAX_TERMS do (arr_a : 0.0, iii : 1 + iii)), 0)
iii
(%i183) ats(mmm_ats,arr_a,arr_b,jjj_ats):=block(
mode_declare([[iii_ats,lll_ats,ma_ats],fixnum,[ret_ats],
convfloat]),ret_ats:0.0,
if jjj_ats <= mmm_ats
then (ma_ats:1+mmm_ats,iii_ats:jjj_ats,
while iii_ats <= mmm_ats do
(lll_ats:ma_ats-iii_ats,
if lll_ats <= MAX_TERMS and iii_ats <= MAX_TERMS
then ret_ats
:arr_a[iii_ats]*arr_b[lll_ats]+ret_ats,
iii_ats:1+iii_ats)),ret_ats)
(%o183) ats(mmm_ats, arr_a, arr_b, jjj_ats) :=
block(mode_declare([[iii_ats, lll_ats, ma_ats], fixnum, [ret_ats],
convfloat]), ret_ats : 0.0, if jjj_ats <= mmm_ats
then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats,
while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats,
if (lll_ats <= MAX_TERMS) and (iii_ats <= MAX_TERMS)
then ret_ats : arr_a arr_b + ret_ats, iii_ats : 1 + iii_ats)),
iii_ats lll_ats
ret_ats)
(%i184) att(mmm_att,arr_aa,arr_bb,jjj_att):=block(
mode_declare([[al_att,iii_att,lll_att,ma_att],convfloat,[ret_att],
fixnum]),ret_att:0.0,
if jjj_att < mmm_att
then (ma_att:2+mmm_att,iii_att:jjj_att,
while iii_att < mmm_att and iii_att <= MAX_TERMS do
(lll_att:ma_att-iii_att,al_att:lll_att-1,
if lll_att <= MAX_TERMS and iii_att <= MAX_TERMS
then ret_att
:arr_aa[iii_att]*arr_bb[lll_att]*al_att
+ret_att,iii_att:1+iii_att),
ret_att:ret_att/mmm_att),ret_att)
(%o184) att(mmm_att, arr_aa, arr_bb, jjj_att) :=
block(mode_declare([[al_att, iii_att, lll_att, ma_att], convfloat, [ret_att],
fixnum]), ret_att : 0.0, if jjj_att < mmm_att
then (ma_att : 2 + mmm_att, iii_att : jjj_att,
while (iii_att < mmm_att) and (iii_att <= MAX_TERMS) do (lll_att :
ma_att - iii_att, al_att : lll_att - 1,
if (lll_att <= MAX_TERMS) and (iii_att <= MAX_TERMS)
then ret_att : arr_aa arr_bb al_att + ret_att,
iii_att lll_att
ret_att
iii_att : 1 + iii_att), ret_att : -------), ret_att)
mmm_att
(%i185) logditto(file):=(printf(file,""),printf(file,"ditto"),
printf(file," | "),0)
(%o185) logditto(file) := (printf(file, ""), printf(file, "ditto"),
printf(file, " | "), 0)
(%i186) logitem_integer(file,n):=(printf(file,""),printf(file,"~d",n),
printf(file," | "),0)
(%o186) logitem_integer(file, n) := (printf(file, ""),
printf(file, "~d", n), printf(file, " | "), 0)
(%i187) logitem_str(file,str):=(printf(file,""),printf(file,str),
printf(file," | "),0)
(%o187) logitem_str(file, str) := (printf(file, ""), printf(file, str),
printf(file, " | "), 0)
(%i188) logitem_good_digits(file,rel_error):=(
block(mode_declare([[good_digits],fixnum]),
printf(file,""),
if rel_error # -1.0
then (if rel_error > +1.0E-34
then (
good_digits
:3-floor(log10(rel_error)),
printf(file,"~d",good_digits))
else (good_digits:16,
printf(file,"~d",
good_digits)))
else printf(file,"Unknown"),
printf(file," | ")),0)
(%o188) logitem_good_digits(file, rel_error) :=
(block(mode_declare([[good_digits], fixnum]), printf(file, ""),
if rel_error # - 1.0 then (if rel_error > + 1.0E-34
then (good_digits : 3 - floor(log10(rel_error)),
printf(file, "~d", good_digits)) else (good_digits : 16,
printf(file, "~d", good_digits))) else printf(file, "Unknown"),
printf(file, " | ")), 0)
(%i189) log_revs(file,revs):=printf(file,revs)
(%o189) log_revs(file, revs) := printf(file, revs)
(%i190) logitem_float(file,x):=(printf(file,""),printf(file,"~g",x),
printf(file," | "),0)
(%o190) logitem_float(file, x) := (printf(file, ""),
printf(file, "~g", x), printf(file, " | "), 0)
(%i191) logitem_pole(file,pole):=(printf(file,""),
if pole = 0 then printf(file,"NA") elseif pole = 1
then printf(file,"Real") elseif pole = 2
then printf(file,"Complex") elseif pole = 4
then printf(file,"Yes") else printf(file,"No"),
printf(file," | "),0)
(%o191) logitem_pole(file, pole) := (printf(file, ""),
if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real")
elseif pole = 2 then printf(file, "Complex") elseif pole = 4
then printf(file, "Yes") else printf(file, "No"), printf(file, " | "), 0)
(%i192) logstart(file):=(printf(file,""),0)
(%o192) logstart(file) := (printf(file, "
"), 0)
(%i193) logend(file):=(printf(file,"
~%"),0)
(%o193) logend(file) := (printf(file, "~%"), 0)
(%i194) chk_data():=(
block(mode_declare([[errflag],boolean]),errflag:false,
if glob_max_iter < 2
then (omniout_str(ALWAYS,"Illegal max_iter"),
errflag:true),if errflag then quit()),0)
(%o194) chk_data() := (block(mode_declare([[errflag], boolean]),
errflag : false, if glob_max_iter < 2 then (omniout_str(ALWAYS,
"Illegal max_iter"), errflag : true), if errflag then quit()), 0)
(%i195) comp_expect_sec(t_end2,t_start2,t2,clock_sec2):=block(
mode_declare([[ms2,rrr,sec_left,sub1,sub2],
convfloat]),ms2:clock_sec2,
sub1:t_end2-t_start2,sub2:t2-t_start2,
if sub1 = 0.0 then sec_left:0.0
else (if sub2 > 0.0
then (rrr:sub1/sub2,
sec_left:rrr*ms2-ms2)
else sec_left:0.0),sec_left)
(%o195) comp_expect_sec(t_end2, t_start2, t2, clock_sec2) :=
block(mode_declare([[ms2, rrr, sec_left, sub1, sub2], convfloat]),
ms2 : clock_sec2, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
if sub1 = 0.0 then sec_left : 0.0 else (if sub2 > 0.0
sub1
then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left)
sub2
(%i196) comp_percent(t_end2,t_start2,t2):=block(
mode_declare([[rrr,sub1,sub2],convfloat]),
sub1:t_end2-t_start2,sub2:t2-t_start2,
if sub2 > glob_small_float then rrr:100.0*sub2/sub1
else rrr:0.0,rrr)
(%o196) comp_percent(t_end2, t_start2, t2) :=
block(mode_declare([[rrr, sub1, sub2], convfloat]), sub1 : t_end2 - t_start2,
100.0 sub2
sub2 : t2 - t_start2, if sub2 > glob_small_float then rrr : ----------
sub1
else rrr : 0.0, rrr)
(%i197) comp_rad_from_ratio(term1,term2,last_no):=(
if term2 > 0.0 then ret:abs(term1*glob_h/term2)
else ret:glob_larger_float,ret)
(%o197) comp_rad_from_ratio(term1, term2, last_no) :=
!term1 glob_h!
(if term2 > 0.0 then ret : !------------! else ret : glob_larger_float, ret)
! term2 !
(%i198) comp_ord_from_ratio(term1,term2,last_no):=(
if term2 > 0.0
then ret
:abs(term2)*convfloat(last_no)
*log(abs(term1*glob_h/term2))
/log(convfloat(last_no))
+1.0 else ret:glob_larger_float,ret)
(%o198) comp_ord_from_ratio(term1, term2, last_no) :=
!term1 glob_h!
mabs(term2) convfloat(last_no) log(!------------!)
! term2 !
(if term2 > 0.0 then ret : --------------------------------------------------
log(convfloat(last_no))
+ 1.0 else ret : glob_larger_float, ret)
(%i199) comp_rad_from_three_terms(term1,term2,term3,last_no):=(
temp:abs(
term1*term3
-term1*term3*convfloat(last_no)
-2.0*term2*term2
+term2*term2*convfloat(last_no)),
if temp > 0.0
then ret:abs(term2*glob_h*term1/temp)
else ret:glob_larger_float,ret)
(%o199) comp_rad_from_three_terms(term1, term2, term3, last_no) :=
(temp : mabs(term1 term3 - term1 term3 convfloat(last_no) - 2.0 term2 term2
+ term2 term2 convfloat(last_no)), if temp > 0.0
!term2 glob_h term1!
then ret : !------------------! else ret : glob_larger_float, ret)
! temp !
(%i200) comp_ord_from_three_terms(term1,term2,term3,last_no):=(
ret:abs(
(-term1*term3*convfloat(last_no*last_no)
+term2*term2*convfloat(last_no*last_no)
+4.0*term2*term2
-4.0*term2*term2*convfloat(last_no)
-3.0*term1*term3
+4.0*term1*term3*convfloat(last_no))
/(term1*term3
-term1*term3*convfloat(last_no)
-2.0*term2*term2
+term2*term2*convfloat(last_no))),ret)
(%o200) comp_ord_from_three_terms(term1, term2, term3, last_no) :=
(ret : mabs((- term1 term3 convfloat(last_no last_no)
+ term2 term2 convfloat(last_no last_no) + 4.0 term2 term2
- 4.0 term2 term2 convfloat(last_no) - 3.0 term1 term3
+ 4.0 term1 term3 convfloat(last_no))/(term1 term3
- term1 term3 convfloat(last_no) - 2.0 term2 term2
+ term2 term2 convfloat(last_no))), ret)
(%i201) comp_rad_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):=
(
if term5 # 0.0 and term4 # 0.0 and term3 # 0.0
and term2 # 0.0 and term1 # 0.0
then (rm0:term6/term5,rm1:term5/term4,
rm2:term4/term3,rm3:term3/term2,
rm4:term2/term1,
nr1
:convfloat(last_no-3)*rm2
-2.0*convfloat(last_no-2)*rm1
+convfloat(last_no-1)*rm0,
nr2
:convfloat(last_no-4)*rm3
-2.0*convfloat(last_no-3)*rm2
+convfloat(last_no-2)*rm1,
dr1:(-1.0)/rm3+2.0/rm2+(-1.0)/rm1,
dr2:(-1.0)/rm4+2.0/rm3+(-1.0)/rm2,
ds1:5.0/rm3-8.0/rm2+3.0/rm1,
ds2:5.0/rm4-8.0/rm3+3.0/rm2,
if
abs(nr1*dr2-nr2*dr1) = 0.0
or abs(dr1) = 0.0
then (rad_c:glob_larger_float,
ord_no:glob_larger_float)
else (if
abs(nr1*dr2-nr2*dr1) # 0.0
then (
rcs
:(dr1*dr2-ds2*dr1+ds1*dr2)
/(nr1*dr2-nr2*dr1),
ord_no
:(rcs*nr1-ds1)/(2.0*dr1)
-convfloat(last_no)/2.0,
if abs(rcs) # 0.0
then (if rcs > 0.0
then rad_c
:sqrt(rcs)
*abs(glob_h)
else (
rad_c
:glob_larger_float,
ord_no
:glob_larger_float))
else (
rad_c:glob_larger_float,
ord_no:glob_larger_float))
else (rad_c:glob_larger_float,
ord_no:glob_larger_float)))
else (rad_c:glob_larger_float,
ord_no:glob_larger_float),
glob_six_term_ord_save:ord_no,rad_c)
(%o201) comp_rad_from_six_terms(term1, term2, term3, term4, term5, term6,
last_no) := (if (term5 # 0.0) and (term4 # 0.0) and (term3 # 0.0)
term6 term5
and (term2 # 0.0) and (term1 # 0.0) then (rm0 : -----, rm1 : -----,
term5 term4
term4 term3 term2
rm2 : -----, rm3 : -----, rm4 : -----,
term3 term2 term1
nr1 : convfloat(last_no - 3) rm2 - 2.0 convfloat(last_no - 2) rm1
+ convfloat(last_no - 1) rm0, nr2 : convfloat(last_no - 4) rm3
- 2.0 convfloat(last_no - 3) rm2 + convfloat(last_no - 2) rm1,
- 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0
dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---,
rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1
5.0 8.0 3.0
ds2 : --- - --- + ---, if (mabs(nr1 dr2 - nr2 dr1) = 0.0) or (mabs(dr1) = 0.0)
rm4 rm3 rm2
then (rad_c : glob_larger_float, ord_no : glob_larger_float)
else (if mabs(nr1 dr2 - nr2 dr1) # 0.0
dr1 dr2 - ds2 dr1 + ds1 dr2
then (rcs : ---------------------------,
nr1 dr2 - nr2 dr1
rcs nr1 - ds1 convfloat(last_no)
ord_no : ------------- - ------------------,
2.0 dr1 2.0
if mabs(rcs) # 0.0 then (if rcs > 0.0 then rad_c : sqrt(rcs) mabs(glob_h)
else (rad_c : glob_larger_float, ord_no : glob_larger_float))
else (rad_c : glob_larger_float, ord_no : glob_larger_float))
else (rad_c : glob_larger_float, ord_no : glob_larger_float)))
else (rad_c : glob_larger_float, ord_no : glob_larger_float),
glob_six_term_ord_save : ord_no, rad_c)
(%i202) comp_ord_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):=glob_six_term_ord_save
(%o202) comp_ord_from_six_terms(term1, term2, term3, term4, term5, term6,
last_no) := glob_six_term_ord_save
(%i203) factorial_2(nnn):=nnn!
(%o203) factorial_2(nnn) := nnn!
(%i204) factorial_1(nnn):=block(mode_declare([[ret],convfloat]),
if nnn <= MAX_TERMS
then (if array_fact_1[nnn] = 0
then (ret:factorial_2(nnn),
array_fact_1[nnn]:ret)
else ret:array_fact_1[nnn])
else ret:factorial_2(nnn),ret)
(%o204) factorial_1(nnn) := block(mode_declare([[ret], convfloat]),
if nnn <= MAX_TERMS then (if array_fact_1 = 0
nnn
then (ret : factorial_2(nnn), array_fact_1 : ret)
nnn
else ret : array_fact_1 ) else ret : factorial_2(nnn), ret)
nnn
(%i205) factorial_3(mmm,nnn):=block(mode_declare([[ret],convfloat]),
if nnn <= MAX_TERMS and mmm <= MAX_TERMS
then (if array_fact_2[mmm,nnn] = 0
then (ret:factorial_1(mmm)/factorial_1(nnn),
array_fact_2[mmm,nnn]:ret)
else ret:array_fact_2[mmm,nnn])
else ret:factorial_2(mmm)/factorial_2(nnn),ret)
(%o205) factorial_3(mmm, nnn) := block(mode_declare([[ret], convfloat]),
if (nnn <= MAX_TERMS) and (mmm <= MAX_TERMS)
factorial_1(mmm)
then (if array_fact_2 = 0 then (ret : ----------------,
mmm, nnn factorial_1(nnn)
array_fact_2 : ret) else ret : array_fact_2 )
mmm, nnn mmm, nnn
factorial_2(mmm)
else ret : ----------------, ret)
factorial_2(nnn)
(%i206) log10(x):=log(x)/glob_log_10
log(x)
(%o206) log10(x) := -----------
glob_log_10
(%i207) expt(x,y):=(if x <= 0.0 and y < 0.0
then print("expt error x = ",x,"y = ",y),x^y)
(%o207) expt(x, y) := (if (x <= 0.0) and (y < 0.0)
y
then print("expt error x = ", x, "y = ", y), x )
(%i208) estimated_needed_step_error(x_start,x_end,estimated_h,
estimated_answer):=block(
[desired_abs_gbl_error,range,
estimated_steps,step_error],
omniout_float(ALWAYS,
"glob_desired_digits_correct",
32,
glob_desired_digits_correct,
32,""),
desired_abs_gbl_error
:expt(10.0,-glob_desired_digits_correct)
*abs(estimated_answer),
omniout_float(ALWAYS,"estimated_h",32,
estimated_h,32,""),
omniout_float(ALWAYS,"estimated_answer",
32,estimated_answer,32,""),
omniout_float(ALWAYS,
"desired_abs_gbl_error",32,
desired_abs_gbl_error,32,
""),range:x_end-x_start,
omniout_float(ALWAYS,"range",32,range,32,
""),
estimated_steps:range/estimated_h,
omniout_float(ALWAYS,"estimated_steps",32,
estimated_steps,32,""),
step_error
:abs(
desired_abs_gbl_error/estimated_steps),
omniout_float(ALWAYS,"step_error",32,
step_error,32,""),
step_error)
(%o208) estimated_needed_step_error(x_start, x_end, estimated_h,
estimated_answer) := block([desired_abs_gbl_error, range, estimated_steps,
step_error], omniout_float(ALWAYS, "glob_desired_digits_correct", 32,
glob_desired_digits_correct, 32, ""), desired_abs_gbl_error :
expt(10.0, - glob_desired_digits_correct) mabs(estimated_answer),
omniout_float(ALWAYS, "estimated_h", 32, estimated_h, 32, ""),
omniout_float(ALWAYS, "estimated_answer", 32, estimated_answer, 32, ""),
omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32,
""), range : x_end - x_start, omniout_float(ALWAYS, "range", 32, range, 32,
range
""), estimated_steps : -----------, omniout_float(ALWAYS, "estimated_steps",
estimated_h
!desired_abs_gbl_error!
32, estimated_steps, 32, ""), step_error : !---------------------!,
! estimated_steps !
omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""), step_error)
(%i209) exact_soln_y(x):=block(sin(x)+1.0)
(%o209) exact_soln_y(x) := block(sin(x) + 1.0)
(%i210) display_poles():=(
block(mode_declare([[rad_given],convfloat]),
if glob_type_given_pole = 4
then (rad_given
:sqrt(
array_given_rad_poles[1,2]
*array_given_rad_poles[1,2]
+(array_x[1]
-array_given_rad_poles[1,1])
*(array_x[1]
-array_given_rad_poles[1,1])),
if rad_given < glob_least_given_sing
then glob_least_given_sing
:rad_given,
omniout_float(ALWAYS,
"Radius of convergence (given) for eq 1 ",
4,rad_given,4," "),
omniout_float(ALWAYS,
"Order of pole (given) ",
4,
array_given_ord_poles[
1,1],4," "))
elseif glob_type_given_pole = 3
then omniout_str(ALWAYS,
"NO POLE (given) for Equation 1")
else omniout_str(ALWAYS,
"NO INFO (given) for Equation 1"),
if array_rad_test_poles[1,1] < glob_large_float
then (omniout_float(ALWAYS,
"Radius of convergence (ratio test) for eq 1 ",
4,
array_rad_test_poles[1,1],
4," "),
if
array_rad_test_poles[1,1]
< glob_least_ratio_sing
then glob_least_ratio_sing
:array_rad_test_poles[1,1],
omniout_float(ALWAYS,
"Order of pole (ratio test) ",
4,
array_ord_test_poles[1,1],
4," "))
else omniout_str(ALWAYS,
"NO POLE (ratio test) for Equation 1"),
if array_rad_test_poles[1,2] > 0.0
and array_rad_test_poles[1,2]
< glob_large_float
then (omniout_float(ALWAYS,
"Radius of convergence (three term test) for eq 1 ",
4,
array_rad_test_poles[1,2],
4," "),
if
array_rad_test_poles[1,2]
< glob_least_3_sing
then glob_least_3_sing
:array_rad_test_poles[1,2],
omniout_float(ALWAYS,
"Order of pole (three term test) ",
4,
array_ord_test_poles[1,2],
4," "))
else omniout_str(ALWAYS,
"NO REAL POLE (three term test) for Equation 1"),
if array_rad_test_poles[1,3] > 0.0
and array_rad_test_poles[1,3]
< glob_large_float
then (omniout_float(ALWAYS,
"Radius of convergence (six term test) for eq 1 ",
4,
array_rad_test_poles[1,3],
4," "),
if
array_rad_test_poles[1,3]
< glob_least_6_sing
then glob_least_6_sing
:array_rad_test_poles[1,3],
omniout_float(ALWAYS,
"Order of pole (six term test) ",
4,
array_ord_test_poles[1,3],
4," "))
else omniout_str(ALWAYS,
"NO COMPLEX POLE (six term test) for Equation 1")),
0)
(%o210) display_poles() := (block(mode_declare([[rad_given], convfloat]),
if glob_type_given_pole = 4 then (rad_given :
sqrt(array_given_rad_poles array_given_rad_poles
1, 2 1, 2
+ (array_x - array_given_rad_poles )
1 1, 1
(array_x - array_given_rad_poles )),
1 1, 1
if rad_given < glob_least_given_sing then glob_least_given_sing : rad_given,
omniout_float(ALWAYS, "Radius of convergence (given) for eq 1 ", 4,
rad_given, 4, " "), omniout_float(ALWAYS,
"Order of pole (given) ", 4,
array_given_ord_poles , 4, " ")) elseif glob_type_given_pole = 3
1, 1
then omniout_str(ALWAYS, "NO POLE (given) for Equation 1")
else omniout_str(ALWAYS, "NO INFO (given) for Equation 1"),
if array_rad_test_poles < glob_large_float then (omniout_float(ALWAYS, "Ra\
1, 1
dius of convergence (ratio test) for eq 1 ", 4,
array_rad_test_poles , 4, " "), if array_rad_test_poles <
1, 1 1, 1
glob_least_ratio_sing then glob_least_ratio_sing : array_rad_test_poles ,
1, 1
omniout_float(ALWAYS, "Order of pole (ratio test) ", 4,
array_ord_test_poles , 4, " ")) else omniout_str(ALWAYS,
1, 1
"NO POLE (ratio test) for Equation 1"),
if (array_rad_test_poles > 0.0) and (array_rad_test_poles < glob_large_float)
1, 2 1, 2
then (omniout_float(ALWAYS,
"Radius of convergence (three term test) for eq 1 ", 4,
array_rad_test_poles , 4, " "), if array_rad_test_poles <
1, 2 1, 2
glob_least_3_sing then glob_least_3_sing : array_rad_test_poles ,
1, 2
omniout_float(ALWAYS, "Order of pole (three term test) ", 4,
array_ord_test_poles , 4, " ")) else omniout_str(ALWAYS,
1, 2
"NO REAL POLE (three term test) for Equation 1"),
if (array_rad_test_poles > 0.0) and (array_rad_test_poles <
1, 3 1, 3
glob_large_float)
then (omniout_float(ALWAYS,
"Radius of convergence (six term test) for eq 1 ", 4,
array_rad_test_poles , 4, " "), if array_rad_test_poles <
1, 3 1, 3
glob_least_6_sing then glob_least_6_sing : array_rad_test_poles ,
1, 3
omniout_float(ALWAYS, "Order of pole (six term test) ", 4,
array_ord_test_poles , 4, " ")) else omniout_str(ALWAYS,
1, 3
"NO COMPLEX POLE (six term test) for Equation 1")), 0)
(%i211) my_check_sign(x0,xf):=block([ret],if xf > x0 then ret:1.0
else ret:-1.0,ret)
(%o211) my_check_sign(x0, xf) := block([ret],
if xf > x0 then ret : 1.0 else ret : - 1.0, ret)
(%i212) est_size_answer():=block([min_size],
min_size:glob_estimated_size_answer,
if abs(array_y[1]) < min_size
then (min_size:abs(array_y[1]),
omniout_float(ALWAYS,"min_size",32,min_size,
32,"")),
if min_size < 1.0
then (min_size:1.0,
omniout_float(ALWAYS,"min_size",32,min_size,
32,"")),min_size)
(%o212) est_size_answer() := block([min_size],
min_size : glob_estimated_size_answer,
if !array_y ! < min_size then (min_size : !array_y !,
! 1! ! 1!
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")),
if min_size < 1.0 then (min_size : 1.0,
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), min_size)
(%i213) test_suggested_h():=block(
[max_estimated_step_error,hn_div_ho,hn_div_ho_2,
hn_div_ho_3,no_terms,est_tmp],
max_estimated_step_error:0.0,no_terms:MAX_TERMS,
hn_div_ho:0.5,hn_div_ho_2:0.25,hn_div_ho_3:0.125,
omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,""),
omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,
""),
omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,
""),
est_tmp:abs(array_y[no_terms]*hn_div_ho_3
+array_y[no_terms-1]*hn_div_ho_2
+array_y[no_terms-2]*hn_div_ho
+array_y[no_terms-3]),
if est_tmp >= max_estimated_step_error
then max_estimated_step_error:est_tmp,
omniout_float(ALWAYS,"max_estimated_step_error",32,
max_estimated_step_error,32,""),
max_estimated_step_error)
(%o213) test_suggested_h() := block([max_estimated_step_error, hn_div_ho,
hn_div_ho_2, hn_div_ho_3, no_terms, est_tmp], max_estimated_step_error : 0.0,
no_terms : MAX_TERMS, hn_div_ho : 0.5, hn_div_ho_2 : 0.25,
hn_div_ho_3 : 0.125, omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32,
""), omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""),
omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""),
est_tmp : mabs(array_y hn_div_ho_3 + array_y hn_div_ho_2
no_terms no_terms - 1
+ array_y hn_div_ho + array_y ),
no_terms - 2 no_terms - 3
if est_tmp >= max_estimated_step_error then max_estimated_step_error :
est_tmp, omniout_float(ALWAYS, "max_estimated_step_error", 32,
max_estimated_step_error, 32, ""), max_estimated_step_error)
(%i214) reached_interval():=block(mode_declare([[ret],boolean]),
if glob_check_sign*array_x[1]
>= glob_check_sign*glob_next_display
then ret:true else ret:false,return(ret))
(%o214) reached_interval() := block(mode_declare([[ret], boolean]),
if glob_check_sign array_x >= glob_check_sign glob_next_display
1
then ret : true else ret : false, return(ret))
(%i215) display_alot(iter):=(
block(mode_declare(
[[abserr],convfloat,[analytic_val_y],convfloat,
[ind_var],convfloat,[numeric_val],convfloat,
[relerr],convfloat,[term_no],fixnum]),
if reached_interval()
then (if iter >= 0
then (ind_var:array_x[1],
omniout_float(ALWAYS,
"x[1] ",
33,ind_var,20,
" "),
analytic_val_y
:exact_soln_y(ind_var),
omniout_float(ALWAYS,
"y[1] (analytic) ",
33,
analytic_val_y,
20," "),
term_no:1,
numeric_val:array_y[term_no],
abserr
:abs(
numeric_val-analytic_val_y),
omniout_float(ALWAYS,
"y[1] (numeric) ",
33,numeric_val,
20," "),
if abs(analytic_val_y) # 0.0
then (
relerr
:abserr*100.0
/abs(analytic_val_y),
if relerr > 1.0E-34
then glob_good_digits
:3-floor(log10(relerr))
else glob_good_digits
:16)
else (relerr:-1.0,
glob_good_digits:-1),
if glob_iter = 1
then array_1st_rel_error[1]
:relerr
else array_last_rel_error[
1]
:relerr,
omniout_float(ALWAYS,
"absolute error ",
4,abserr,20," "),
omniout_float(ALWAYS,
"relative error ",
4,relerr,20,"%"),
omniout_int(INFO,
"Correct digits ",
32,
glob_good_digits,4,
" "),
omniout_float(ALWAYS,
"h ",
4,glob_h,20,
" ")))),0)
(%o215) display_alot(iter) := (block(mode_declare([[abserr], convfloat,
[analytic_val_y], convfloat, [ind_var], convfloat, [numeric_val], convfloat,
[relerr], convfloat, [term_no], fixnum]),
if reached_interval() then (if iter >= 0
then (ind_var : array_x , omniout_float(ALWAYS,
1
"x[1] ", 33, ind_var, 20, " "),
analytic_val_y : exact_soln_y(ind_var),
omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y,
20, " "), term_no : 1, numeric_val : array_y ,
term_no
abserr : mabs(numeric_val - analytic_val_y),
omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val,
20, " "), if mabs(analytic_val_y) # 0.0
abserr 100.0
then (relerr : --------------------, if relerr > 1.0E-34
mabs(analytic_val_y)
then glob_good_digits : 3 - floor(log10(relerr)) else glob_good_digits : 16)
else (relerr : - 1.0, glob_good_digits : - 1),
if glob_iter = 1 then array_1st_rel_error : relerr
1
else array_last_rel_error : relerr, omniout_float(ALWAYS,
1
"absolute error ", 4, abserr, 20, " "),
omniout_float(ALWAYS, "relative error ", 4, relerr, 20,
"%"), omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " "), omniout_float(ALWAYS,
"h ", 4, glob_h, 20, " ")))), 0)
(%i216) adjust_for_pole(h_param):=(
block(mode_declare(
[[hnew],convfloat,[sz2],convfloat,[tmp],
convfloat]),hnew:h_param,
glob_normmax:glob_small_float,
if abs(array_y_higher[1,1]) > glob_small_float
then (tmp:abs(array_y_higher[1,1]),
if tmp < glob_normmax
then glob_normmax:tmp),
if glob_look_poles
and glob_min_pole_est > glob_small_float
and glob_min_pole_est < glob_large_float
then (sz2:glob_min_pole_est/10.0,
if sz2 < hnew
then (
omniout_float(INFO,
"glob_h adjusted to ",
20,h_param,12,
"due to singularity."),
omniout_str(INFO,
"Reached Optimal"),
return(hnew))),
if not glob_reached_optimal_h
then (glob_reached_optimal_h:true,
glob_curr_iter_when_opt
:glob_current_iter,
glob_optimal_clock_start_sec
:elapsed_time_seconds(),
glob_optimal_start:array_x[1]),
hnew:sz2),hnew)
(%o216) adjust_for_pole(h_param) := (block(mode_declare([[hnew], convfloat,
[sz2], convfloat, [tmp], convfloat]), hnew : h_param,
glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, if tmp < glob_normmax
! 1, 1!
then glob_normmax : tmp), if glob_look_poles
and (glob_min_pole_est > glob_small_float)
and (glob_min_pole_est < glob_large_float)
glob_min_pole_est
then (sz2 : -----------------, if sz2 < hnew
10.0
then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity."), omniout_str(INFO, "Reached Optimal"), return(hnew))),
if not glob_reached_optimal_h then (glob_reached_optimal_h : true,
glob_curr_iter_when_opt : glob_current_iter,
glob_optimal_clock_start_sec : elapsed_time_seconds(),
glob_optimal_start : array_x ), hnew : sz2), hnew)
1
(%i217) prog_report(x_start,x_end):=(
block(mode_declare([[clock_sec],convfloat,[opt_clock_sec],
convfloat,[clock_sec1],convfloat,
[expect_sec],convfloat,[left_sec],
convfloat,[percent_done],convfloat,
[total_clock_sec],convfloat]),
clock_sec1:elapsed_time_seconds(),
total_clock_sec:clock_sec1-glob_orig_start_sec,
glob_clock_sec:clock_sec1-glob_clock_start_sec,
left_sec:-clock_sec1+glob_orig_start_sec
+glob_max_sec,
expect_sec:comp_expect_sec(x_end,x_start,
glob_h+array_x[1],
clock_sec1
-glob_orig_start_sec),
opt_clock_sec:clock_sec1
-glob_optimal_clock_start_sec,
glob_optimal_expect_sec
:comp_expect_sec(x_end,x_start,glob_h+array_x[1],
opt_clock_sec),
glob_total_exp_sec
:total_clock_sec+glob_optimal_expect_sec,
percent_done:comp_percent(x_end,x_start,
glob_h+array_x[1]),
glob_percent_done:percent_done,
omniout_str_noeol(INFO,
"Total Elapsed Time "),
omniout_timestr(total_clock_sec),
omniout_str_noeol(INFO,
"Elapsed Time(since restart) "),
omniout_timestr(glob_clock_sec),
if percent_done < 100.0
then (omniout_str_noeol(INFO,
"Expected Time Remaining "),
omniout_timestr(expect_sec),
omniout_str_noeol(INFO,
"Optimized Time Remaining "),
omniout_timestr(glob_optimal_expect_sec),
omniout_str_noeol(INFO,
"Expected Total Time "),
omniout_timestr(glob_total_exp_sec)),
omniout_str_noeol(INFO,
"Time to Timeout "),
omniout_timestr(left_sec),
omniout_float(INFO,
"Percent Done ",33,
percent_done,4,"%")),0)
(%o217) prog_report(x_start, x_end) :=
(block(mode_declare([[clock_sec], convfloat, [opt_clock_sec], convfloat,
[clock_sec1], convfloat, [expect_sec], convfloat, [left_sec], convfloat,
[percent_done], convfloat, [total_clock_sec], convfloat]),
clock_sec1 : elapsed_time_seconds(), total_clock_sec :
clock_sec1 - glob_orig_start_sec, glob_clock_sec :
clock_sec1 - glob_clock_start_sec, left_sec :
- clock_sec1 + glob_orig_start_sec + glob_max_sec,
expect_sec : comp_expect_sec(x_end, x_start, glob_h + array_x ,
1
clock_sec1 - glob_orig_start_sec), opt_clock_sec :
clock_sec1 - glob_optimal_clock_start_sec,
glob_optimal_expect_sec : comp_expect_sec(x_end, x_start, glob_h + array_x ,
1
opt_clock_sec), glob_total_exp_sec : total_clock_sec
+ glob_optimal_expect_sec, percent_done :
comp_percent(x_end, x_start, glob_h + array_x ),
1
glob_percent_done : percent_done, omniout_str_noeol(INFO,
"Total Elapsed Time "), omniout_timestr(total_clock_sec),
omniout_str_noeol(INFO, "Elapsed Time(since restart) "),
omniout_timestr(glob_clock_sec), if percent_done < 100.0
then (omniout_str_noeol(INFO, "Expected Time Remaining "),
omniout_timestr(expect_sec), omniout_str_noeol(INFO,
"Optimized Time Remaining "), omniout_timestr(glob_optimal_expect_sec),
omniout_str_noeol(INFO, "Expected Total Time "),
omniout_timestr(glob_total_exp_sec)), omniout_str_noeol(INFO,
"Time to Timeout "), omniout_timestr(left_sec),
omniout_float(INFO, "Percent Done ", 33, percent_done, 4,
"%")), 0)
(%i218) check_for_pole():=(
block(mode_declare([cnt],fixnum,[dr1,dr2,ds1,ds2,hdrc],
convfloat,[m,n],fixnum,[nr1,nr2],
convfloat,[ord_no],fixnum,
[term1,term2,term3,part1,part2,
part3,part4,part5,part6,part7,
part8,part9,part10,part11,part12,
part13,part14,rad_c,rcs,rm0,rm1,
rm2,rm3,rm4],convfloat,
[found_sing],fixnum,
[h_new,ratio,term,local_test,
tmp_rad,tmp_ord,tmp_ratio,
prev_tmp_rad],convfloat,[last_no],
fixnum),
glob_min_pole_est:glob_larger_float,
tmp_rad:glob_larger_float,
prev_tmp_rad:glob_larger_float,
tmp_ratio:glob_larger_float,
rad_c:glob_larger_float,
array_rad_test_poles[1,1]:glob_larger_float,
array_ord_test_poles[1,1]:glob_larger_float,
found_sing:1,last_no:-10-1+MAX_TERMS,cnt:0,
while last_no < MAX_TERMS-3 and found_sing = 1 do
(tmp_rad
:comp_rad_from_ratio(
array_y_higher[1,last_no-1],
array_y_higher[1,last_no],last_no),
tmp_ratio:tmp_rad/prev_tmp_rad,
if cnt > 0
and tmp_ratio
< glob_upper_ratio_limit
and tmp_ratio
> glob_lower_ratio_limit
then rad_c:tmp_rad elseif cnt = 0
then rad_c:tmp_rad elseif cnt > 0
then found_sing:0,
prev_tmp_rad:tmp_rad,cnt:1+cnt,
last_no:1+last_no),
if found_sing = 1
then (if rad_c < array_rad_test_poles[1,1]
then (
array_rad_test_poles[1,1]:rad_c,
last_no:last_no-1,
tmp_ord
:comp_ord_from_ratio(
array_y_higher[1,last_no-1],
array_y_higher[1,last_no],
last_no),
array_rad_test_poles[1,1]:rad_c,
array_ord_test_poles[1,1]
:tmp_ord)),
glob_min_pole_est:glob_larger_float,
tmp_rad:glob_larger_float,
prev_tmp_rad:glob_larger_float,
tmp_ratio:glob_larger_float,
rad_c:glob_larger_float,
array_rad_test_poles[1,2]:glob_larger_float,
array_ord_test_poles[1,2]:glob_larger_float,
found_sing:1,last_no:-10-1+MAX_TERMS,cnt:0,
while last_no < MAX_TERMS-4 and found_sing = 1 do
(tmp_rad
:comp_rad_from_three_terms(
array_y_higher[1,last_no-2],
array_y_higher[1,last_no-1],
array_y_higher[1,last_no],last_no),
tmp_ratio:tmp_rad/prev_tmp_rad,
if cnt > 0
and tmp_ratio
< glob_upper_ratio_limit
and tmp_ratio
> glob_lower_ratio_limit
then rad_c:tmp_rad elseif cnt = 0
then rad_c:tmp_rad elseif cnt > 0
then found_sing:0,
prev_tmp_rad:tmp_rad,cnt:1+cnt,
last_no:1+last_no),
if found_sing = 1
then (if rad_c < array_rad_test_poles[1,2]
then (
array_rad_test_poles[1,2]:rad_c,
last_no:last_no-1,
tmp_ord
:comp_ord_from_three_terms(
array_y_higher[1,last_no-2],
array_y_higher[1,last_no-1],
array_y_higher[1,last_no],
last_no),
array_rad_test_poles[1,2]:rad_c,
if rad_c < glob_min_pole_est
then glob_min_pole_est:rad_c,
array_ord_test_poles[1,2]
:tmp_ord)),
glob_min_pole_est:glob_larger_float,
tmp_rad:glob_larger_float,
prev_tmp_rad:glob_larger_float,
tmp_ratio:glob_larger_float,
rad_c:glob_larger_float,
array_rad_test_poles[1,3]:glob_larger_float,
array_ord_test_poles[1,3]:glob_larger_float,
found_sing:1,last_no:-10-1+MAX_TERMS,cnt:0,
while last_no < MAX_TERMS-7 and found_sing = 1 do
(tmp_rad
:comp_rad_from_six_terms(
array_y_higher[1,last_no-5],
array_y_higher[1,last_no-4],
array_y_higher[1,last_no-3],
array_y_higher[1,last_no-2],
array_y_higher[1,last_no-1],
array_y_higher[1,last_no],last_no),
tmp_ratio:tmp_rad/prev_tmp_rad,
if cnt > 0
and tmp_ratio
< glob_upper_ratio_limit
and tmp_ratio
> glob_lower_ratio_limit
then rad_c:tmp_rad elseif cnt = 0
then rad_c:tmp_rad elseif cnt > 0
then found_sing:0,
prev_tmp_rad:tmp_rad,cnt:1+cnt,
last_no:1+last_no),
if found_sing = 1
then (if rad_c < array_rad_test_poles[1,3]
then (
array_rad_test_poles[1,3]:rad_c,
last_no:last_no-1,
tmp_ord
:comp_ord_from_six_terms(
array_y_higher[1,last_no-5],
array_y_higher[1,last_no-4],
array_y_higher[1,last_no-3],
array_y_higher[1,last_no-2],
array_y_higher[1,last_no-1],
array_y_higher[1,last_no],
last_no),
array_rad_test_poles[1,3]:rad_c,
if rad_c < glob_min_pole_est
then glob_min_pole_est:rad_c,
array_ord_test_poles[1,3]
:tmp_ord)),
if abs(glob_min_pole_est)*glob_ratio_of_radius
< abs(glob_h)
then (h_new
:glob_check_sign*glob_min_pole_est
*glob_ratio_of_radius,
term:1,ratio:1.0,
while term <= MAX_TERMS do
(
array_y[term]
:array_y[term]*ratio,
array_y_higher[1,term]
:array_y_higher[1,term]*ratio,
array_x[term]
:array_x[term]*ratio,
ratio:ratio*h_new/abs(glob_h),
term:1+term),glob_h:h_new),
if reached_interval() then display_poles()),0)
(%o218) check_for_pole() := (block(mode_declare([cnt], fixnum,
[dr1, dr2, ds1, ds2, hdrc], convfloat, [m, n], fixnum, [nr1, nr2], convfloat,
[ord_no], fixnum, [term1, term2, term3, part1, part2, part3, part4, part5,
part6, part7, part8, part9, part10, part11, part12, part13, part14, rad_c,
rcs, rm0, rm1, rm2, rm3, rm4], convfloat, [found_sing], fixnum,
[h_new, ratio, term, local_test, tmp_rad, tmp_ord, tmp_ratio, prev_tmp_rad],
convfloat, [last_no], fixnum), glob_min_pole_est : glob_larger_float,
tmp_rad : glob_larger_float, prev_tmp_rad : glob_larger_float,
tmp_ratio : glob_larger_float, rad_c : glob_larger_float,
array_rad_test_poles : glob_larger_float,
1, 1
array_ord_test_poles : glob_larger_float, found_sing : 1,
1, 1
last_no : - 10 - 1 + MAX_TERMS, cnt : 0,
while (last_no < MAX_TERMS - 3) and (found_sing = 1) do (tmp_rad :
comp_rad_from_ratio(array_y_higher , array_y_higher ,
1, last_no - 1 1, last_no
tmp_rad
last_no), tmp_ratio : ------------, if (cnt > 0)
prev_tmp_rad
and (tmp_ratio < glob_upper_ratio_limit)
and (tmp_ratio > glob_lower_ratio_limit) then rad_c : tmp_rad elseif cnt = 0
then rad_c : tmp_rad elseif cnt > 0 then found_sing : 0,
prev_tmp_rad : tmp_rad, cnt : 1 + cnt, last_no : 1 + last_no),
if found_sing = 1 then (if rad_c < array_rad_test_poles
1, 1
then (array_rad_test_poles : rad_c, last_no : last_no - 1,
1, 1
tmp_ord : comp_ord_from_ratio(array_y_higher ,
1, last_no - 1
array_y_higher , last_no), array_rad_test_poles : rad_c,
1, last_no 1, 1
array_ord_test_poles : tmp_ord)), glob_min_pole_est : glob_larger_float,
1, 1
tmp_rad : glob_larger_float, prev_tmp_rad : glob_larger_float,
tmp_ratio : glob_larger_float, rad_c : glob_larger_float,
array_rad_test_poles : glob_larger_float,
1, 2
array_ord_test_poles : glob_larger_float, found_sing : 1,
1, 2
last_no : - 10 - 1 + MAX_TERMS, cnt : 0,
while (last_no < MAX_TERMS - 4) and (found_sing = 1) do (tmp_rad :
comp_rad_from_three_terms(array_y_higher ,
1, last_no - 2
array_y_higher , array_y_higher , last_no),
1, last_no - 1 1, last_no
tmp_rad
tmp_ratio : ------------, if (cnt > 0) and (tmp_ratio < glob_upper_ratio_limit)
prev_tmp_rad
and (tmp_ratio > glob_lower_ratio_limit) then rad_c : tmp_rad elseif cnt = 0
then rad_c : tmp_rad elseif cnt > 0 then found_sing : 0,
prev_tmp_rad : tmp_rad, cnt : 1 + cnt, last_no : 1 + last_no),
if found_sing = 1 then (if rad_c < array_rad_test_poles
1, 2
then (array_rad_test_poles : rad_c, last_no : last_no - 1,
1, 2
tmp_ord : comp_ord_from_three_terms(array_y_higher ,
1, last_no - 2
array_y_higher , array_y_higher , last_no),
1, last_no - 1 1, last_no
array_rad_test_poles : rad_c, if rad_c < glob_min_pole_est
1, 2
then glob_min_pole_est : rad_c, array_ord_test_poles : tmp_ord)),
1, 2
glob_min_pole_est : glob_larger_float, tmp_rad : glob_larger_float,
prev_tmp_rad : glob_larger_float, tmp_ratio : glob_larger_float,
rad_c : glob_larger_float, array_rad_test_poles : glob_larger_float,
1, 3
array_ord_test_poles : glob_larger_float, found_sing : 1,
1, 3
last_no : - 10 - 1 + MAX_TERMS, cnt : 0,
while (last_no < MAX_TERMS - 7) and (found_sing = 1) do (tmp_rad :
comp_rad_from_six_terms(array_y_higher ,
1, last_no - 5
array_y_higher , array_y_higher ,
1, last_no - 4 1, last_no - 3
array_y_higher , array_y_higher ,
1, last_no - 2 1, last_no - 1
tmp_rad
array_y_higher , last_no), tmp_ratio : ------------,
1, last_no prev_tmp_rad
if (cnt > 0) and (tmp_ratio < glob_upper_ratio_limit)
and (tmp_ratio > glob_lower_ratio_limit) then rad_c : tmp_rad elseif cnt = 0
then rad_c : tmp_rad elseif cnt > 0 then found_sing : 0,
prev_tmp_rad : tmp_rad, cnt : 1 + cnt, last_no : 1 + last_no),
if found_sing = 1 then (if rad_c < array_rad_test_poles
1, 3
then (array_rad_test_poles : rad_c, last_no : last_no - 1,
1, 3
tmp_ord : comp_ord_from_six_terms(array_y_higher ,
1, last_no - 5
array_y_higher , array_y_higher ,
1, last_no - 4 1, last_no - 3
array_y_higher , array_y_higher ,
1, last_no - 2 1, last_no - 1
array_y_higher , last_no), array_rad_test_poles : rad_c,
1, last_no 1, 3
if rad_c < glob_min_pole_est then glob_min_pole_est : rad_c,
array_ord_test_poles : tmp_ord)), if mabs(glob_min_pole_est)
1, 3
glob_ratio_of_radius < mabs(glob_h) then (h_new :
glob_check_sign glob_min_pole_est glob_ratio_of_radius, term : 1, ratio : 1.0,
while term <= MAX_TERMS do (array_y : array_y ratio,
term term
array_y_higher : array_y_higher ratio,
1, term 1, term
ratio h_new
array_x : array_x ratio, ratio : ------------, term : 1 + term),
term term mabs(glob_h)
glob_h : h_new), if reached_interval() then display_poles()), 0)
(%i219) atomall():=(
block(mode_declare([[kkk,order_d],fixnum,
[adj2,adj3,temporary,term,temp,temp2],
convfloat]),array_tmp1[1]:cos(array_x[1]),
array_tmp1_g[1]:sin(array_x[1]),
array_tmp2[1]:array_tmp1[1]+array_const_0D0[1],
if not array_y_set_initial[1,2]
then (if 1 <= MAX_TERMS
then (
temporary
:array_tmp2[1]*expt(glob_h,1)
*factorial_3(0,1),
if 2 <= MAX_TERMS
then (array_y[2]:temporary,
array_y_higher[1,2]:temporary),
temporary:temporary*1.0/glob_h,
array_y_higher[2,1]:temporary,0)),kkk:2,
array_tmp1[2]:(-array_tmp1_g[1]*array_x[2])/1,
array_tmp1_g[2]:array_tmp1[1]*array_x[2]/1,
array_tmp2[2]:array_tmp1[2],
if not array_y_set_initial[1,3]
then (if 2 <= MAX_TERMS
then (
temporary
:array_tmp2[2]*expt(glob_h,1)
*factorial_3(1,2),
if 3 <= MAX_TERMS
then (array_y[3]:temporary,
array_y_higher[1,3]:temporary),
temporary:temporary*2.0/glob_h,
array_y_higher[2,2]:temporary,0)),kkk:3,
array_tmp1[3]:(-array_tmp1_g[2]*array_x[2])/2,
array_tmp1_g[3]:array_tmp1[2]*array_x[2]/2,
array_tmp2[3]:array_tmp1[3],
if not array_y_set_initial[1,4]
then (if 3 <= MAX_TERMS
then (
temporary
:array_tmp2[3]*expt(glob_h,1)
*factorial_3(2,3),
if 4 <= MAX_TERMS
then (array_y[4]:temporary,
array_y_higher[1,4]:temporary),
temporary:temporary*3.0/glob_h,
array_y_higher[2,3]:temporary,0)),kkk:4,
array_tmp1[4]:(-array_tmp1_g[3]*array_x[2])/3,
array_tmp1_g[4]:array_tmp1[3]*array_x[2]/3,
array_tmp2[4]:array_tmp1[4],
if not array_y_set_initial[1,5]
then (if 4 <= MAX_TERMS
then (
temporary
:array_tmp2[4]*expt(glob_h,1)
*factorial_3(3,4),
if 5 <= MAX_TERMS
then (array_y[5]:temporary,
array_y_higher[1,5]:temporary),
temporary:temporary*4.0/glob_h,
array_y_higher[2,4]:temporary,0)),kkk:5,
array_tmp1[5]:(-array_tmp1_g[4]*array_x[2])/4,
array_tmp1_g[5]:array_tmp1[4]*array_x[2]/4,
array_tmp2[5]:array_tmp1[5],
if not array_y_set_initial[1,6]
then (if 5 <= MAX_TERMS
then (
temporary
:array_tmp2[5]*expt(glob_h,1)
*factorial_3(4,5),
if 6 <= MAX_TERMS
then (array_y[6]:temporary,
array_y_higher[1,6]:temporary),
temporary:temporary*5.0/glob_h,
array_y_higher[2,5]:temporary,0)),kkk:6,
while kkk <= MAX_TERMS do
(array_tmp1[kkk]
:(-array_tmp1_g[kkk-1]*array_x[2])/(kkk-1),
array_tmp1_g[kkk]
:array_tmp1[kkk-1]*array_x[2]/(kkk-1),
array_tmp2[kkk]:array_tmp1[kkk],order_d:1,
if order_d+kkk <= MAX_TERMS
then (if
not array_y_set_initial[1,order_d+kkk]
then (
temporary
:array_tmp2[kkk]*expt(glob_h,order_d)
*factorial_3(kkk-1,
-1+order_d
+kkk),
array_y[order_d+kkk]:temporary,
array_y_higher[1,order_d+kkk]:temporary,
term:-1+order_d+kkk,adj2:-1+order_d+kkk,
adj3:2,
while term >= 1 and term <= MAX_TERMS
and adj3 < 1+order_d do
(
if adj3 <= 1+order_d
then (
if adj2 > 0
then temporary
:temporary*adj2/glob_h
else temporary:temporary,
array_y_higher[adj3,term]
:temporary),term:term-1,
adj2:adj2-1,adj3:1+adj3))),
kkk:1+kkk)),0)
(%o219) atomall() := (block(mode_declare([[kkk, order_d], fixnum,
[adj2, adj3, temporary, term, temp, temp2], convfloat]),
array_tmp1 : cos(array_x ), array_tmp1_g : sin(array_x ),
1 1 1 1
array_tmp2 : array_tmp1 + array_const_0D0 ,
1 1 1
if not array_y_set_initial then (if 1 <= MAX_TERMS
1, 2
then (temporary : array_tmp2 expt(glob_h, 1) factorial_3(0, 1),
1
if 2 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary),
2 1, 2
temporary 1.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 2,
glob_h 2, 1
- array_tmp1_g array_x array_tmp1 array_x
1 2 1 2
array_tmp1 : ------------------------, array_tmp1_g : --------------------,
2 1 2 1
array_tmp2 : array_tmp1 , if not array_y_set_initial
2 2 1, 3
then (if 2 <= MAX_TERMS then (temporary :
array_tmp2 expt(glob_h, 1) factorial_3(1, 2),
2
if 3 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary),
3 1, 3
temporary 2.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 3,
glob_h 2, 2
- array_tmp1_g array_x array_tmp1 array_x
2 2 2 2
array_tmp1 : ------------------------, array_tmp1_g : --------------------,
3 2 3 2
array_tmp2 : array_tmp1 , if not array_y_set_initial
3 3 1, 4
then (if 3 <= MAX_TERMS then (temporary :
array_tmp2 expt(glob_h, 1) factorial_3(2, 3),
3
if 4 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary),
4 1, 4
temporary 3.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 4,
glob_h 2, 3
- array_tmp1_g array_x array_tmp1 array_x
3 2 3 2
array_tmp1 : ------------------------, array_tmp1_g : --------------------,
4 3 4 3
array_tmp2 : array_tmp1 , if not array_y_set_initial
4 4 1, 5
then (if 4 <= MAX_TERMS then (temporary :
array_tmp2 expt(glob_h, 1) factorial_3(3, 4),
4
if 5 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary),
5 1, 5
temporary 4.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 5,
glob_h 2, 4
- array_tmp1_g array_x array_tmp1 array_x
4 2 4 2
array_tmp1 : ------------------------, array_tmp1_g : --------------------,
5 4 5 4
array_tmp2 : array_tmp1 , if not array_y_set_initial
5 5 1, 6
then (if 5 <= MAX_TERMS then (temporary :
array_tmp2 expt(glob_h, 1) factorial_3(4, 5),
5
if 6 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary),
6 1, 6
temporary 5.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 6,
glob_h 2, 5
- array_tmp1_g array_x
kkk - 1 2
while kkk <= MAX_TERMS do (array_tmp1 : ------------------------------,
kkk kkk - 1
array_tmp1 array_x
kkk - 1 2
array_tmp1_g : --------------------------, array_tmp2 : array_tmp1 ,
kkk kkk - 1 kkk kkk
order_d : 1, if order_d + kkk <= MAX_TERMS
then (if not array_y_set_initial
1, order_d + kkk
then (temporary : array_tmp2 expt(glob_h, order_d)
kkk
factorial_3(kkk - 1, - 1 + order_d + kkk), array_y : temporary,
order_d + kkk
array_y_higher : temporary, term : - 1 + order_d + kkk,
1, order_d + kkk
adj2 : - 1 + order_d + kkk, adj3 : 2, while (term >= 1)
and (term <= MAX_TERMS) and (adj3 < 1 + order_d) do (if adj3 <= 1 + order_d
temporary adj2
then (if adj2 > 0 then temporary : -------------- else temporary : temporary,
glob_h
array_y_higher : temporary), term : term - 1, adj2 : adj2 - 1,
adj3, term
adj3 : 1 + adj3))), kkk : 1 + kkk)), 0)
(%i220) exact_soln_y(x):=block(sin(x)+1.0)
(%o220) exact_soln_y(x) := block(sin(x) + 1.0)
(%i221) main_prog():=block(
mode_declare([[d1,d2,d3,d4,est_err_2],convfloat,
[niii,done_once,term,ord,order_diff,term_no,
html_log_file,iiif,jjjf,rows,r_order,
sub_iter,calc_term,iii],fixnum,[temp_sum],
convfloat,[current_iter],fixnum,
[x_start,x_end],convfloat,[it,opt_iter],
fixnum,[tmp],convfloat,[subiter],fixnum,
[est_needed_step_err,estimated_step_error,
min_value,est_answer,best_h,found_h],
convfloat,[repeat_it],fixnum]),Digits:32,
max_terms:30,glob_html_log:true,term:1,
while term <= MAX_TERMS do
(array_y_init[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_norms[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_fact_1[term]:0.0,term:1+term),term:1,
while term <= 2 do
(array_1st_rel_error[term]:0.0,term:1+term),term:1,
while term <= 2 do
(array_last_rel_error[term]:0.0,term:1+term),term:1,
while term <= 2 do (array_type_pole[term]:0,term:1+term),
term:1,
while term <= 2 do
(array_type_real_pole[term]:0,term:1+term),term:1,
while term <= 2 do
(array_type_complex_pole[term]:0,term:1+term),term:1,
while term <= MAX_TERMS do (array_y[term]:0.0,term:1+term),
term:1,
while term <= MAX_TERMS do (array_x[term]:0.0,term:1+term),
term:1,
while term <= MAX_TERMS do
(array_tmp0[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp1_g[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp1[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp2[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do (array_m1[term]:0.0,term:1+term),
ord:1,
while ord <= 2 do
(term:1,
while term <= MAX_TERMS do
(array_y_higher[ord,term]:0.0,term:1+term),
ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= MAX_TERMS do
(array_y_higher_work[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= MAX_TERMS do
(array_y_higher_work2[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= MAX_TERMS do
(array_y_set_initial[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= 3 do
(array_given_rad_poles[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= 3 do
(array_given_ord_poles[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= 3 do
(array_rad_test_poles[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= 3 do
(array_ord_test_poles[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= MAX_TERMS do
(term:1,
while term <= MAX_TERMS do
(array_fact_2[ord,term]:0.0,term:1+term),
ord:1+ord),zero_ats_ar(array_y),zero_ats_ar(array_x),
zero_ats_ar(array_tmp0),zero_ats_ar(array_tmp1_g),
zero_ats_ar(array_tmp1),zero_ats_ar(array_tmp2),
zero_ats_ar(array_m1),zero_ats_ar(array_const_1),
array_const_1[1]:1,zero_ats_ar(array_const_0D0),
array_const_0D0[1]:0.0,zero_ats_ar(array_m1),
array_m1[1]:-1.0,iiif:0,
while iiif <= MAX_TERMS do
(jjjf:0,
while jjjf <= MAX_TERMS do
(array_fact_1[iiif]:0,
array_fact_2[iiif,jjjf]:0,jjjf:1+jjjf),
iiif:1+iiif),array_y_set_initial[1,1]:true,
array_y_set_initial[1,2]:false,
array_y_set_initial[1,3]:false,
array_y_set_initial[1,4]:false,
array_y_set_initial[1,5]:false,
array_y_set_initial[1,6]:false,
array_y_set_initial[1,7]:false,
array_y_set_initial[1,8]:false,
array_y_set_initial[1,9]:false,
array_y_set_initial[1,10]:false,
array_y_set_initial[1,11]:false,
array_y_set_initial[1,12]:false,
array_y_set_initial[1,13]:false,
array_y_set_initial[1,14]:false,
array_y_set_initial[1,15]:false,
array_y_set_initial[1,16]:false,
array_y_set_initial[1,17]:false,
array_y_set_initial[1,18]:false,
array_y_set_initial[1,19]:false,
array_y_set_initial[1,20]:false,
array_y_set_initial[1,21]:false,
array_y_set_initial[1,22]:false,
array_y_set_initial[1,23]:false,
array_y_set_initial[1,24]:false,
array_y_set_initial[1,25]:false,
array_y_set_initial[1,26]:false,
array_y_set_initial[1,27]:false,
array_y_set_initial[1,28]:false,
array_y_set_initial[1,29]:false,
array_y_set_initial[1,30]:false,ALWAYS:1,INFO:2,DEBUGL:3,
DEBUGMASSIVE:4,MAX_TERMS:30,glob_iolevel:INFO,
glob_orig_start_sec:elapsed_time_seconds(),
glob_curr_iter_when_opt:0,glob_display_flag:true,
glob_no_eqs:1,glob_iter:-1,opt_iter:-1,glob_max_iter:50000,
glob_max_hours:0.0,glob_max_minutes:15.0,
omniout_str(ALWAYS,
"##############ECHO OF PROBLEM#################"),
omniout_str(ALWAYS,
"##############temp/cospostode.ode#################"),
omniout_str(ALWAYS,
"diff ( y , x , 1 ) = cos ( x ) ; "),
omniout_str(ALWAYS,"!"),
omniout_str(ALWAYS,"/* BEGIN FIRST INPUT BLOCK */"),
omniout_str(ALWAYS,"Digits:32,"),
omniout_str(ALWAYS,"max_terms:30,"),omniout_str(ALWAYS,"!"),
omniout_str(ALWAYS,"/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS,"/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS,"x_start:-5.0,"),
omniout_str(ALWAYS,"x_end:5.0,"),
omniout_str(ALWAYS,
"array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS,"glob_look_poles:true,"),
omniout_str(ALWAYS,"glob_max_iter:10000,"),
omniout_str(ALWAYS,"glob_display_interval:0.1,"),
omniout_str(ALWAYS,"glob_max_minutes:10,"),
omniout_str(ALWAYS,"/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS,"/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS,"glob_desired_digits_correct:10,"),
omniout_str(ALWAYS,"glob_display_interval:0.01,"),
omniout_str(ALWAYS,"glob_look_poles:true,"),
omniout_str(ALWAYS,"glob_max_iter:1000000000,"),
omniout_str(ALWAYS,"glob_max_minutes:10.0,"),
omniout_str(ALWAYS,"glob_subiter_method:3,"),
omniout_str(ALWAYS,"/* END OVERRIDE BLOCK */"),
omniout_str(ALWAYS,"!"),
omniout_str(ALWAYS,"/* BEGIN USER DEF BLOCK */"),
omniout_str(ALWAYS,"exact_soln_y (x) := (block("),
omniout_str(ALWAYS," (1.0 + sin(x)) "),
omniout_str(ALWAYS,"));"),
omniout_str(ALWAYS,"/* END USER DEF BLOCK */"),
omniout_str(ALWAYS,
"#######END OF ECHO OF PROBLEM#################"),
glob_unchanged_h_cnt:0,glob_warned:false,glob_warned2:false,
glob_small_float:0.0,glob_smallish_float:0.0,
glob_large_float:1.0E+100,glob_larger_float:1.1E+100,
glob_almost_1:0.99,x_start:-5.0,x_end:5.0,
array_y_init[1+0]:exact_soln_y(x_start),
glob_look_poles:true,glob_max_iter:10000,
glob_display_interval:0.1,glob_max_minutes:10,
glob_desired_digits_correct:10,glob_display_interval:0.01,
glob_look_poles:true,glob_max_iter:1000000000,
glob_max_minutes:10.0,glob_subiter_method:3,
glob_last_good_h:glob_h,
glob_max_sec:3600.0*glob_max_hours+60.0*glob_max_minutes,
omniout_str(ALWAYS,"START of Optimize"),
glob_check_sign:my_check_sign(x_start,x_end),found_h:false,
glob_h:glob_min_h*glob_check_sign,
if abs(glob_max_h) < abs(glob_h)
then glob_h:abs(glob_max_h)*glob_check_sign,
if abs(glob_display_interval) < abs(glob_h)
then glob_h:abs(glob_display_interval),
if glob_h > 0.0
then (glob_neg_h:false,
glob_display_interval:abs(glob_display_interval))
else (glob_neg_h:true,
glob_display_interval
:-abs(glob_display_interval)),chk_data(),
best_h:glob_h,min_value:glob_larger_float,
est_answer:est_size_answer(),opt_iter:1,
est_needed_step_err:estimated_needed_step_error(
x_start,x_end,glob_h,est_answer),
omniout_float(ALWAYS,"est_needed_step_err",32,
est_needed_step_err,16,""),
estimated_step_error:0.0,
while opt_iter <= 100 and not found_h do
(omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,""),
array_x[1]:x_start,array_x[2]:glob_h,
glob_next_display:x_start,order_diff:1,term_no:1,
while term_no <= order_diff do
(array_y[term_no]
:array_y_init[term_no]*expt(glob_h,term_no-1)
/factorial_1(term_no-1),term_no:1+term_no),
rows:order_diff,r_order:1,
while r_order <= rows do
(term_no:1,
while term_no <= 1-r_order+rows do
(it:-1+r_order+term_no,
if term_no < MAX_TERMS
then array_y_higher[
r_order,term_no]
:array_y_init[it]
*expt(glob_h,term_no-1)
/factorial_1(term_no-1),
term_no:1+term_no),r_order:1+r_order),
atomall(),estimated_step_error:test_suggested_h(),
omniout_float(ALWAYS,"estimated_step_error",32,
estimated_step_error,32,""),
if estimated_step_error > est_needed_step_err
and opt_iter = 1
or glob_check_sign*glob_h
>= glob_check_sign*glob_max_h
then (found_h:true,
glob_h:glob_check_sign*glob_max_h,
best_h:glob_h)
elseif estimated_step_error > est_needed_step_err
and not found_h
then (glob_h:glob_h/2.0,best_h:glob_h,
found_h:true)
else (glob_h:glob_h*2.0,best_h:glob_h),
omniout_float(ALWAYS,"best_h",32,best_h,32,""),
opt_iter:1+opt_iter),
if not found_h and opt_iter = 1
then (omniout_str(ALWAYS,"Beginning glob_h too large."),
found_h:false),
if opt_iter > 100
then (glob_h:glob_check_sign*glob_max_h,found_h:false),
if glob_check_sign*glob_display_interval
< glob_check_sign*glob_h
then glob_h:glob_check_sign*glob_display_interval,
if glob_html_log then html_log_file:openw("entry.html"),
if found_h
then (omniout_str(ALWAYS,"START of Soultion"),
array_x[1]:x_start,array_x[2]:glob_h,
glob_next_display:x_start,order_diff:1,term_no:1,
while term_no <= order_diff do
(array_y[term_no]
:array_y_init[term_no]
*expt(glob_h,term_no-1)
/factorial_1(term_no-1),
term_no:1+term_no),rows:order_diff,
r_order:1,
while r_order <= rows do
(term_no:1,
while term_no <= 1-r_order+rows do
(it:-1+r_order+term_no,
if term_no < MAX_TERMS
then array_y_higher[
r_order,term_no]
:array_y_init[it]
*expt(glob_h,term_no-1)
/factorial_1(term_no-1),
term_no:1+term_no),
r_order:1+r_order),current_iter:1,
glob_clock_start_sec:elapsed_time_seconds(),
glob_clock_sec:elapsed_time_seconds(),
glob_current_iter:0,glob_iter:0,
omniout_str(DEBUGL," "),
glob_reached_optimal_h:true,
glob_optimal_clock_start_sec
:elapsed_time_seconds(),
while glob_current_iter < glob_max_iter
and glob_check_sign*array_x[1]
< glob_check_sign*x_end
and glob_clock_sec-glob_orig_start_sec
< glob_max_sec do
(if reached_interval()
then (omniout_str(INFO," "),
omniout_str(INFO,
"TOP MAIN SOLVE Loop")),
glob_iter:1+glob_iter,
glob_clock_sec:elapsed_time_seconds(),
glob_current_iter:1+glob_current_iter,
atomall(),display_alot(current_iter),
if glob_look_poles then check_for_pole(),
if reached_interval()
then glob_next_display
:glob_display_interval
+glob_next_display,
array_x[1]:glob_h+array_x[1],
array_x[2]:glob_h,order_diff:2,ord:2,
calc_term:1,iii:MAX_TERMS,
while iii >= calc_term do
(
array_y_higher_work[2,iii]
:array_y_higher[2,iii]
/expt(glob_h,calc_term-1)
/factorial_3(iii-calc_term,iii-1),
iii:iii-1),temp_sum:0.0,ord:2,
calc_term:1,iii:MAX_TERMS,
while iii >= calc_term do
(
temp_sum
:array_y_higher_work[ord,iii]
+temp_sum,iii:iii-1),
array_y_higher_work2[ord,calc_term]
:temp_sum*expt(glob_h,calc_term-1)
/factorial_1(calc_term-1),ord:1,
calc_term:2,iii:MAX_TERMS,
while iii >= calc_term do
(
array_y_higher_work[1,iii]
:array_y_higher[1,iii]
/expt(glob_h,calc_term-1)
/factorial_3(iii-calc_term,iii-1),
iii:iii-1),temp_sum:0.0,ord:1,
calc_term:2,iii:MAX_TERMS,
while iii >= calc_term do
(
temp_sum
:array_y_higher_work[ord,iii]
+temp_sum,iii:iii-1),
array_y_higher_work2[ord,calc_term]
:temp_sum*expt(glob_h,calc_term-1)
/factorial_1(calc_term-1),ord:1,
calc_term:1,iii:MAX_TERMS,
while iii >= calc_term do
(
array_y_higher_work[1,iii]
:array_y_higher[1,iii]
/expt(glob_h,calc_term-1)
/factorial_3(iii-calc_term,iii-1),
iii:iii-1),temp_sum:0.0,ord:1,
calc_term:1,iii:MAX_TERMS,
while iii >= calc_term do
(
temp_sum
:array_y_higher_work[ord,iii]
+temp_sum,iii:iii-1),
array_y_higher_work2[ord,calc_term]
:temp_sum*expt(glob_h,calc_term-1)
/factorial_1(calc_term-1),
term_no:MAX_TERMS,
while term_no >= 1 do
(
array_y[term_no]
:array_y_higher_work2[1,term_no],
ord:1,
while ord <= order_diff do
(
array_y_higher[ord,term_no]
:array_y_higher_work2[
ord,term_no],ord:1+ord),
term_no:term_no-1)),
omniout_str(ALWAYS,"Finished!"),
if glob_iter >= glob_max_iter
then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds()-glob_orig_start_sec
>= glob_max_sec
then omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!"),
glob_clock_sec:elapsed_time_seconds(),
omniout_str(INFO,
"diff ( y , x , 1 ) = cos ( x ) ; "),
omniout_int(INFO,
"Iterations ",32,
glob_iter,4," "),
prog_report(x_start,x_end),
if glob_html_log
then (logstart(html_log_file),
logitem_str(html_log_file,
"2014-01-08T20:17:33-06:00"),
logitem_str(html_log_file,"Maxima"),
logitem_str(html_log_file,
"cos"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = cos ( x ) ; "),
logitem_float(html_log_file,x_start),
logitem_float(html_log_file,x_end),
logitem_float(html_log_file,array_x[1]),
logitem_float(html_log_file,glob_h),
logitem_str(html_log_file,"16"),
logitem_good_digits(html_log_file,
array_last_rel_error[
1]),
logitem_integer(html_log_file,
MAX_TERMS),
if
glob_least_given_sing
< glob_large_float
then (
logitem_float(html_log_file,
glob_least_given_sing),
0)
else (
logitem_str(html_log_file,
"NOT GIVEN"),0),
if
glob_least_ratio_sing
< glob_large_float
then (
logitem_float(html_log_file,
glob_least_ratio_sing),
0)
else (
logitem_str(html_log_file,"NONE"),0),
if glob_least_3_sing < glob_large_float
then (
logitem_float(html_log_file,
glob_least_3_sing),0)
else (
logitem_str(html_log_file,"NONE"),
0),
if glob_least_6_sing < glob_large_float
then (
logitem_float(html_log_file,
glob_least_6_sing),0)
else (
logitem_str(html_log_file,"NONE"),
0),
logitem_integer(html_log_file,
glob_iter),
logitem_time(html_log_file,
glob_clock_sec),
if glob_percent_done < 100.0
then (
logitem_time(html_log_file,
glob_total_exp_sec),0)
else (
logitem_str(html_log_file,"Done"),
0),
log_revs(html_log_file,
" 225 | "),
logitem_str(html_log_file,
"cos diffeq.max"),
logitem_str(html_log_file,
"cos maxima results"),
logitem_str(html_log_file,
"All Tests - Maxima only - to save time"),
logend(html_log_file)),
if glob_html_log then close(html_log_file)))
(%o221) main_prog() := block(mode_declare([[d1, d2, d3, d4, est_err_2],
convfloat, [niii, done_once, term, ord, order_diff, term_no, html_log_file,
iiif, jjjf, rows, r_order, sub_iter, calc_term, iii], fixnum, [temp_sum],
convfloat, [current_iter], fixnum, [x_start, x_end], convfloat,
[it, opt_iter], fixnum, [tmp], convfloat, [subiter], fixnum,
[est_needed_step_err, estimated_step_error, min_value, est_answer, best_h,
found_h], convfloat, [repeat_it], fixnum]), Digits : 32, max_terms : 30,
glob_html_log : true, term : 1, while term <=
MAX_TERMS do (array_y_init : 0.0, term : 1 + term), term : 1,
term
while term <= MAX_TERMS do (array_norms : 0.0, term : 1 + term),
term
term : 1, while term <= MAX_TERMS do (array_fact_1 : 0.0,
term
term : 1 + term), term : 1, while term <=
2 do (array_1st_rel_error : 0.0, term : 1 + term), term : 1,
term
while term <= 2 do (array_last_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= 2 do (array_type_pole : 0, term : 1 + term),
term
term : 1, while term <= 2 do (array_type_real_pole : 0, term : 1 + term),
term
term : 1, while term <= 2 do (array_type_complex_pole : 0,
term
term : 1 + term), term : 1, while term <= MAX_TERMS do (array_y : 0.0,
term
term : 1 + term), term : 1, while term <= MAX_TERMS do (array_x : 0.0,
term
term : 1 + term), term : 1, while term <= MAX_TERMS do (array_tmp0 : 0.0,
term
term : 1 + term), term : 1, while term <=
MAX_TERMS do (array_tmp1_g : 0.0, term : 1 + term), term : 1,
term
while term <= MAX_TERMS do (array_tmp1 : 0.0, term : 1 + term), term : 1,
term
while term <= MAX_TERMS do (array_tmp2 : 0.0, term : 1 + term), term : 1,
term
while term <= MAX_TERMS do (array_m1 : 0.0, term : 1 + term), ord : 1,
term
while ord <= 2 do (term : 1, while term <=
MAX_TERMS do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 2 do (term : 1,
while term <= MAX_TERMS do (array_y_higher_work : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
MAX_TERMS do (array_y_higher_work2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= MAX_TERMS do (array_y_set_initial : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
3 do (array_given_rad_poles : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 2 do (term : 1,
while term <= 3 do (array_given_ord_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= 3 do (array_rad_test_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= 3 do (array_ord_test_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= MAX_TERMS do (term : 1,
while term <= MAX_TERMS do (array_fact_2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), zero_ats_ar(array_y), zero_ats_ar(array_x),
zero_ats_ar(array_tmp0), zero_ats_ar(array_tmp1_g), zero_ats_ar(array_tmp1),
zero_ats_ar(array_tmp2), zero_ats_ar(array_m1), zero_ats_ar(array_const_1),
array_const_1 : 1, zero_ats_ar(array_const_0D0), array_const_0D0 : 0.0,
1 1
zero_ats_ar(array_m1), array_m1 : - 1.0, iiif : 0,
1
while iiif <= MAX_TERMS do (jjjf : 0,
while jjjf <= MAX_TERMS do (array_fact_1 : 0, array_fact_2 : 0,
iiif iiif, jjjf
jjjf : 1 + jjjf), iiif : 1 + iiif), array_y_set_initial : true,
1, 1
array_y_set_initial : false, array_y_set_initial : false,
1, 2 1, 3
array_y_set_initial : false, array_y_set_initial : false,
1, 4 1, 5
array_y_set_initial : false, array_y_set_initial : false,
1, 6 1, 7
array_y_set_initial : false, array_y_set_initial : false,
1, 8 1, 9
array_y_set_initial : false, array_y_set_initial : false,
1, 10 1, 11
array_y_set_initial : false, array_y_set_initial : false,
1, 12 1, 13
array_y_set_initial : false, array_y_set_initial : false,
1, 14 1, 15
array_y_set_initial : false, array_y_set_initial : false,
1, 16 1, 17
array_y_set_initial : false, array_y_set_initial : false,
1, 18 1, 19
array_y_set_initial : false, array_y_set_initial : false,
1, 20 1, 21
array_y_set_initial : false, array_y_set_initial : false,
1, 22 1, 23
array_y_set_initial : false, array_y_set_initial : false,
1, 24 1, 25
array_y_set_initial : false, array_y_set_initial : false,
1, 26 1, 27
array_y_set_initial : false, array_y_set_initial : false,
1, 28 1, 29
array_y_set_initial : false, ALWAYS : 1, INFO : 2, DEBUGL : 3,
1, 30
DEBUGMASSIVE : 4, MAX_TERMS : 30, glob_iolevel : INFO,
glob_orig_start_sec : elapsed_time_seconds(), glob_curr_iter_when_opt : 0,
glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1,
glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0,
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"),
omniout_str(ALWAYS, "##############temp/cospostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = cos ( x ) ; "),
omniout_str(ALWAYS, "!"), omniout_str(ALWAYS,
"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits:32,"),
omniout_str(ALWAYS, "max_terms:30,"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "x_start:-5.0,"), omniout_str(ALWAYS, "x_end:5.0,"),
omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS, "glob_look_poles:true,"),
omniout_str(ALWAYS, "glob_max_iter:10000,"),
omniout_str(ALWAYS, "glob_display_interval:0.1,"),
omniout_str(ALWAYS, "glob_max_minutes:10,"),
omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS, "glob_desired_digits_correct:10,"),
omniout_str(ALWAYS, "glob_display_interval:0.01,"),
omniout_str(ALWAYS, "glob_look_poles:true,"),
omniout_str(ALWAYS, "glob_max_iter:1000000000,"),
omniout_str(ALWAYS, "glob_max_minutes:10.0,"),
omniout_str(ALWAYS, "glob_subiter_method:3,"),
omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"),
omniout_str(ALWAYS, "exact_soln_y (x) := (block("),
omniout_str(ALWAYS, " (1.0 + sin(x)) "), omniout_str(ALWAYS, "));"),
omniout_str(ALWAYS, "/* END USER DEF BLOCK */"),
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"),
glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false,
glob_small_float : 0.0, glob_smallish_float : 0.0,
glob_large_float : 1.0E+100, glob_larger_float : 1.1E+100,
glob_almost_1 : 0.99, x_start : - 5.0, x_end : 5.0,
array_y_init : exact_soln_y(x_start), glob_look_poles : true,
1 + 0
glob_max_iter : 10000, glob_display_interval : 0.1, glob_max_minutes : 10,
glob_desired_digits_correct : 10, glob_display_interval : 0.01,
glob_look_poles : true, glob_max_iter : 1000000000, glob_max_minutes : 10.0,
glob_subiter_method : 3, glob_last_good_h : glob_h,
glob_max_sec : 3600.0 glob_max_hours + 60.0 glob_max_minutes,
omniout_str(ALWAYS, "START of Optimize"),
glob_check_sign : my_check_sign(x_start, x_end), found_h : false,
glob_h : glob_min_h glob_check_sign, if mabs(glob_max_h) < mabs(glob_h)
then glob_h : mabs(glob_max_h) glob_check_sign,
if mabs(glob_display_interval) < mabs(glob_h)
then glob_h : mabs(glob_display_interval),
if glob_h > 0.0 then (glob_neg_h : false,
glob_display_interval : mabs(glob_display_interval))
else (glob_neg_h : true, glob_display_interval :
- mabs(glob_display_interval)), chk_data(), best_h : glob_h,
min_value : glob_larger_float, est_answer : est_size_answer(), opt_iter : 1,
est_needed_step_err : estimated_needed_step_error(x_start, x_end, glob_h,
est_answer), omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, ""), estimated_step_error : 0.0,
while (opt_iter <= 100) and (not found_h) do (omniout_int(ALWAYS, "opt_iter",
32, opt_iter, 4, ""), array_x : x_start, array_x : glob_h,
1 2
glob_next_display : x_start, order_diff : 1, term_no : 1,
while term_no <= order_diff do (array_y :
term_no
array_y_init expt(glob_h, term_no - 1)
term_no
---------------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
if term_no < MAX_TERMS then array_y_higher :
r_order, term_no
array_y_init expt(glob_h, term_no - 1)
it
----------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
r_order : 1 + r_order), atomall(), estimated_step_error : test_suggested_h(),
omniout_float(ALWAYS, "estimated_step_error", 32, estimated_step_error, 32,
""), if ((estimated_step_error > est_needed_step_err) and (opt_iter = 1))
or (glob_check_sign glob_h >= glob_check_sign glob_max_h)
then (found_h : true, glob_h : glob_check_sign glob_max_h, best_h : glob_h)
elseif (estimated_step_error > est_needed_step_err) and (not found_h)
glob_h
then (glob_h : ------, best_h : glob_h, found_h : true)
2.0
else (glob_h : glob_h 2.0, best_h : glob_h),
omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""), opt_iter : 1 + opt_iter),
if (not found_h) and (opt_iter = 1) then (omniout_str(ALWAYS,
"Beginning glob_h too large."), found_h : false),
if opt_iter > 100 then (glob_h : glob_check_sign glob_max_h, found_h : false),
if glob_check_sign glob_display_interval < glob_check_sign glob_h
then glob_h : glob_check_sign glob_display_interval,
if glob_html_log then html_log_file : openw("entry.html"),
if found_h then (omniout_str(ALWAYS, "START of Soultion"), array_x : x_start,
1
array_x : glob_h, glob_next_display : x_start, order_diff : 1, term_no : 1,
2
while term_no <= order_diff do (array_y :
term_no
array_y_init expt(glob_h, term_no - 1)
term_no
---------------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
if term_no < MAX_TERMS then array_y_higher :
r_order, term_no
array_y_init expt(glob_h, term_no - 1)
it
----------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
r_order : 1 + r_order), current_iter : 1,
glob_clock_start_sec : elapsed_time_seconds(),
glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 0, glob_iter : 0,
omniout_str(DEBUGL, " "), glob_reached_optimal_h : true,
glob_optimal_clock_start_sec : elapsed_time_seconds(),
while (glob_current_iter < glob_max_iter)
and (glob_check_sign array_x < glob_check_sign x_end)
1
and (glob_clock_sec - glob_orig_start_sec < glob_max_sec) do (if reached_interval
() then (omniout_str(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop")),
glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 1 + glob_current_iter, atomall(),
display_alot(current_iter), if glob_look_poles then check_for_pole(),
if reached_interval() then glob_next_display :
glob_display_interval + glob_next_display, array_x : glob_h + array_x ,
1 1
array_x : glob_h, order_diff : 2, ord : 2, calc_term : 1, iii : MAX_TERMS,
2
while iii >= calc_term do (array_y_higher_work :
2, iii
array_y_higher
2, iii
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 2, calc_term : 1, iii : MAX_TERMS,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, ord : 1, calc_term : 2, iii : MAX_TERMS,
factorial_1(calc_term - 1)
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 2, iii : MAX_TERMS,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, ord : 1, calc_term : 1, iii : MAX_TERMS,
factorial_1(calc_term - 1)
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 1, iii : MAX_TERMS,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, term_no : MAX_TERMS,
factorial_1(calc_term - 1)
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1)),
ord, term_no
omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter
then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds() - glob_orig_start_sec >= glob_max_sec
then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"),
glob_clock_sec : elapsed_time_seconds(),
omniout_str(INFO, "diff ( y , x , 1 ) = cos ( x ) ; "),
omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "),
prog_report(x_start, x_end), if glob_html_log
then (logstart(html_log_file), logitem_str(html_log_file,
"2014-01-08T20:17:33-06:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "cos"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = cos ( x ) ; "),
logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end),
logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h),
1
logitem_str(html_log_file, "16"), logitem_good_digits(html_log_file,
array_last_rel_error ), logitem_integer(html_log_file, MAX_TERMS),
1
if glob_least_given_sing < glob_large_float
then (logitem_float(html_log_file, glob_least_given_sing), 0)
else (logitem_str(html_log_file, "NOT GIVEN"), 0),
if glob_least_ratio_sing < glob_large_float
then (logitem_float(html_log_file, glob_least_ratio_sing), 0)
else (logitem_str(html_log_file, "NONE"), 0),
if glob_least_3_sing < glob_large_float
then (logitem_float(html_log_file, glob_least_3_sing), 0)
else (logitem_str(html_log_file, "NONE"), 0),
if glob_least_6_sing < glob_large_float
then (logitem_float(html_log_file, glob_least_6_sing), 0)
else (logitem_str(html_log_file, "NONE"), 0),
logitem_integer(html_log_file, glob_iter),
logitem_time(html_log_file, glob_clock_sec),
if glob_percent_done < 100.0 then (logitem_time(html_log_file,
glob_total_exp_sec), 0) else (logitem_str(html_log_file, "Done"), 0),
log_revs(html_log_file, " 225 | "),
logitem_str(html_log_file, "cos diffeq.max"),
logitem_str(html_log_file,
"cos maxima results"),
logitem_str(html_log_file, "All Tests - Maxima only - to save time"),
logend(html_log_file)), if glob_html_log then close(html_log_file)))
(%i222) main():=(alias(convfloat,convfloat),compile(all),main_prog())
(%o222) main() := (alias(convfloat, convfloat), compile(all), main_prog())
(%i223) main()
warning: encountered undefined variable glob_iolevel in translation.
warning: encountered undefined variable glob_iolevel in translation.
warning: encountered undefined variable glob_iolevel in translation.
warning: encountered undefined variable glob_iolevel in translation.
warning: encountered undefined variable glob_iolevel in translation.
warning: encountered undefined variable glob_iolevel in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable secs in translation.
warning: encountered undefined variable glob_sec_in_year in translation.
warning: encountered undefined variable sec_temp in translation.
warning: encountered undefined variable glob_sec_in_day in translation.
warning: encountered undefined variable glob_sec_in_hour in translation.
warning: encountered undefined variable glob_sec_in_minute in translation.
warning: encountered undefined variable years_int in translation.
warning: encountered undefined variable days_int in translation.
warning: encountered undefined variable hours_int in translation.
warning: encountered undefined variable minutes_int in translation.
warning: encountered undefined variable sec_int in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable glob_sec_in_year in translation.
warning: encountered undefined variable glob_sec_in_day in translation.
warning: encountered undefined variable glob_sec_in_hour in translation.
warning: encountered undefined variable glob_sec_in_minute in translation.
warning: encountered undefined variable iii in translation.
warning: encountered undefined variable fixnum in translation.
warning: encountered undefined variable MAX_TERMS in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable iii_ats in translation.
warning: encountered undefined variable ma_ats in translation.
warning: encountered undefined variable ret_ats in translation.
warning: encountered undefined variable lll_ats in translation.
warning: encountered undefined variable MAX_TERMS in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable iii_att in translation.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable ma_att in translation.
warning: encountered undefined variable lll_att in translation.
warning: encountered undefined variable ret_att in translation.
warning: encountered undefined variable al_att in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable good_digits in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable ALWAYS in translation.
warning: encountered undefined variable glob_max_iter in translation.
warning: encountered undefined variable errflag in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable sub1 in translation.
warning: encountered undefined variable sub2 in translation.
warning: encountered undefined variable rrr in translation.
warning: encountered undefined variable ms2 in translation.
warning: encountered undefined variable sec_left in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable glob_small_float in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable glob_larger_float in translation.
warning: encountered undefined variable ret in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable glob_larger_float in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable temp in translation.
warning: encountered undefined variable glob_larger_float in translation.
warning: encountered undefined variable rm0 in translation.
warning: encountered undefined variable rm1 in translation.
warning: encountered undefined variable rm2 in translation.
warning: encountered undefined variable rm3 in translation.
warning: encountered undefined variable rm4 in translation.
warning: encountered undefined variable glob_larger_float in translation.
warning: encountered undefined variable nr1 in translation.
warning: encountered undefined variable dr2 in translation.
warning: encountered undefined variable nr2 in translation.
warning: encountered undefined variable dr1 in translation.
warning: encountered undefined variable ds1 in translation.
warning: encountered undefined variable ds2 in translation.
warning: encountered undefined variable rcs in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable ord_no in translation.
warning: variable glob_six_term_ord_save (declared type convfloat) assigned type any.
warning: encountered undefined variable rad_c in translation.
warning: encountered undefined variable glob_six_term_ord_save in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable array_fact_1 in translation.
warning: encountered undefined variable MAX_TERMS in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable array_fact_2 in translation.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable glob_log_10 in translation.
warning: encountered undefined variable ALWAYS in translation.
warning: encountered undefined variable glob_desired_digits_correct in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable array_x in translation.
warning: encountered undefined variable array_given_rad_poles in translation.
warning: encountered undefined variable rad_given in translation.
warning: variable glob_least_given_sing (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_least_given_sing in translation.
warning: encountered undefined variable ALWAYS in translation.
warning: encountered undefined variable array_given_ord_poles in translation.
warning: encountered undefined variable glob_type_given_pole in translation.
warning: encountered undefined variable array_rad_test_poles in translation.
warning: variable glob_least_ratio_sing (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_least_ratio_sing in translation.
warning: encountered undefined variable array_ord_test_poles in translation.
warning: encountered undefined variable glob_large_float in translation.
warning: variable glob_least_3_sing (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_least_3_sing in translation.
warning: variable glob_least_6_sing (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_least_6_sing in translation.
warning: encountered undefined variable glob_estimated_size_answer in translation.
warning: encountered undefined variable array_y in translation.
warning: encountered undefined variable ALWAYS in translation.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable ALWAYS in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable glob_check_sign in translation.
warning: encountered undefined variable glob_next_display in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable ALWAYS in translation.
warning: encountered undefined variable ind_var in translation.
warning: encountered undefined variable analytic_val_y in translation.
warning: encountered undefined variable term_no in translation.
warning: encountered undefined variable numeric_val in translation.
warning: encountered undefined variable abserr in translation.
warning: encountered undefined variable relerr in translation.
warning: variable glob_good_digits (declared type fixnum) assigned type any.
warning: encountered undefined variable array_1st_rel_error in translation.
warning: encountered undefined variable glob_iter in translation.
warning: encountered undefined variable array_last_rel_error in translation.
warning: encountered undefined variable INFO in translation.
warning: encountered undefined variable glob_good_digits in translation.
warning: encountered undefined variable glob_h in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable glob_small_float in translation.
warning: encountered undefined variable array_y_higher in translation.
warning: encountered undefined variable tmp in translation.
warning: variable glob_normmax (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_normmax in translation.
warning: encountered undefined variable glob_min_pole_est in translation.
warning: encountered undefined variable INFO in translation.
warning: encountered undefined variable hnew in translation.
warning: encountered undefined variable sz2 in translation.
warning: encountered undefined variable glob_look_poles in translation.
warning: encountered undefined variable glob_large_float in translation.
warning: encountered undefined variable glob_current_iter in translation.
warning: variable glob_optimal_clock_start_sec (declared type convfloat) assigned type any.
warning: variable glob_optimal_start (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_reached_optimal_h in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable clock_sec1 in translation.
warning: encountered undefined variable glob_orig_start_sec in translation.
warning: encountered undefined variable glob_clock_start_sec in translation.
warning: variable glob_clock_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_max_sec in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable glob_optimal_clock_start_sec in translation.
warning: encountered undefined variable opt_clock_sec in translation.
warning: variable glob_optimal_expect_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_optimal_expect_sec in translation.
warning: encountered undefined variable total_clock_sec in translation.
warning: variable glob_total_exp_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable percent_done in translation.
warning: variable glob_percent_done (declared type convfloat) assigned type any.
warning: encountered undefined variable INFO in translation.
warning: encountered undefined variable glob_clock_sec in translation.
warning: encountered undefined variable expect_sec in translation.
warning: encountered undefined variable glob_total_exp_sec in translation.
warning: encountered undefined variable left_sec in translation.
warning: encountered undefined variable glob_larger_float in translation.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable last_no in translation.
warning: encountered undefined variable found_sing in translation.
warning: variable tmp_rad (declared type convfloat) assigned type any.
warning: encountered undefined variable tmp_rad in translation.
warning: encountered undefined variable prev_tmp_rad in translation.
warning: encountered undefined variable cnt in translation.
warning: encountered undefined variable tmp_ratio in translation.
warning: encountered undefined variable glob_upper_ratio_limit in translation.
warning: encountered undefined variable glob_lower_ratio_limit in translation.
warning: variable tmp_ord (declared type convfloat) assigned type any.
warning: encountered undefined variable tmp_ord in translation.
warning: encountered undefined variable glob_min_pole_est in translation.
warning: encountered undefined variable glob_check_sign in translation.
warning: encountered undefined variable glob_ratio_of_radius in translation.
warning: encountered undefined variable term in translation.
warning: encountered undefined variable ratio in translation.
warning: encountered undefined variable h_new in translation.
warning: encountered undefined variable glob_h in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable array_tmp1 in translation.
warning: encountered undefined variable array_tmp1_g in translation.
warning: encountered undefined variable array_const_0D0 in translation.
warning: encountered undefined variable array_tmp2 in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable temporary in translation.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable array_y_set_initial in translation.
warning: encountered undefined variable kkk in translation.
warning: encountered undefined variable order_d in translation.
warning: encountered undefined variable adj3 in translation.
warning: encountered undefined variable adj2 in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable array_y_init in translation.
warning: encountered undefined variable array_norms in translation.
warning: encountered undefined variable array_type_pole in translation.
warning: encountered undefined variable array_type_real_pole in translation.
warning: encountered undefined variable array_type_complex_pole in translation.
warning: encountered undefined variable array_tmp0 in translation.
warning: encountered undefined variable array_m1 in translation.
warning: encountered undefined variable ord in translation.
warning: encountered undefined variable array_y_higher_work in translation.
warning: encountered undefined variable array_y_higher_work2 in translation.
warning: encountered undefined variable array_const_1 in translation.
warning: encountered undefined variable iiif in translation.
warning: encountered undefined variable jjjf in translation.
warning: encountered undefined variable INFO in translation.
warning: variable glob_orig_start_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable ALWAYS in translation.
warning: encountered undefined variable x_start in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable glob_max_minutes in translation.
warning: encountered undefined variable glob_max_hours in translation.
warning: encountered undefined variable x_end in translation.
warning: variable glob_check_sign (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_min_h in translation.
warning: encountered undefined variable glob_check_sign in translation.
warning: encountered undefined variable glob_max_h in translation.
warning: encountered undefined variable glob_display_interval in translation.
warning: encountered undefined variable glob_larger_float in translation.
warning: encountered undefined variable est_answer in translation.
warning: encountered undefined variable est_needed_step_err in translation.
warning: encountered undefined variable opt_iter in translation.
warning: encountered undefined variable found_h in translation.
warning: variable glob_next_display (declared type convfloat) assigned type any.
warning: encountered undefined variable order_diff in translation.
warning: encountered undefined variable r_order in translation.
warning: encountered undefined variable rows in translation.
warning: encountered undefined variable it in translation.
warning: encountered undefined variable estimated_step_error in translation.
warning: encountered undefined variable best_h in translation.
warning: encountered undefined variable glob_html_log in translation.
warning: variable glob_clock_start_sec (declared type convfloat) assigned type any.
warning: variable glob_clock_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable DEBUGL in translation.
warning: variable glob_optimal_clock_start_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_current_iter in translation.
warning: encountered undefined variable glob_max_iter in translation.
warning: encountered undefined variable glob_clock_sec in translation.
warning: encountered undefined variable glob_orig_start_sec in translation.
warning: encountered undefined variable glob_max_sec in translation.
warning: encountered undefined variable glob_iter in translation.
warning: encountered undefined variable current_iter in translation.
warning: encountered undefined variable glob_look_poles in translation.
warning: encountered undefined variable glob_next_display in translation.
warning: encountered undefined variable calc_term in translation.
warning: encountered undefined variable temp_sum in translation.
warning: encountered undefined variable html_log_file in translation.
warning: encountered undefined variable glob_least_given_sing in translation.
warning: encountered undefined variable glob_large_float in translation.
warning: encountered undefined variable glob_least_ratio_sing in translation.
warning: encountered undefined variable glob_least_3_sing in translation.
warning: encountered undefined variable glob_least_6_sing in translation.
warning: encountered undefined variable glob_total_exp_sec in translation.
warning: encountered undefined variable glob_percent_done in translation.
WARNING: in $ADJUST_FOR_POLE : $GLOB_CURR_ITER_WHEN_OPT is neither declared
nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $ADJUST_FOR_POLE : $GLOB_OPTIMAL_START is neither declared nor
bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : |$Digits| is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $MAX_TERMS is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : |$debugmassive| is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_CURR_ITER_WHEN_OPT is neither declared nor
bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_DISPLAY_FLAG is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_NO_EQS is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_UNCHANGED_H_CNT is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_WARNED is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_WARNED2 is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_SMALLISH_FLOAT is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_ALMOST_1 is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_SUBITER_METHOD is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_LAST_GOOD_H is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_NEG_H is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_NEG_H is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $MIN_VALUE is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
Warning: modedcclare has a function or macro call which has not been translated properly.
The function was totaly undefined. Maybe you want to quote it."##############ECHO OF PROBLEM#################"
"##############temp/cospostode.ode#################"
"diff ( y , x , 1 ) = cos ( x ) ; "
"!"
"/* BEGIN FIRST INPUT BLOCK */"
"Digits:32,"
"max_terms:30,"
"!"
"/* END FIRST INPUT BLOCK */"
"/* BEGIN SECOND INPUT BLOCK */"
"x_start:-5.0,"
"x_end:5.0,"
"array_y_init[0 + 1] : exact_soln_y(x_start),"
"glob_look_poles:true,"
"glob_max_iter:10000,"
"glob_display_interval:0.1,"
"glob_max_minutes:10,"
"/* END SECOND INPUT BLOCK */"
"/* BEGIN OVERRIDE BLOCK */"
"glob_desired_digits_correct:10,"
"glob_display_interval:0.01,"
"glob_look_poles:true,"
"glob_max_iter:1000000000,"
"glob_max_minutes:10.0,"
"glob_subiter_method:3,"
"/* END OVERRIDE BLOCK */"
"!"
"/* BEGIN USER DEF BLOCK */"
"exact_soln_y (x) := (block("
" (1.0 + sin(x)) "
"));"
"/* END USER DEF BLOCK */"
"#######END OF ECHO OF PROBLEM#################"
"START of Optimize"
min_size = 0.0 ""
min_size = 1. ""
glob_desired_digits_correct = 10. ""
estimated_h = 1.000000E-6 ""
estimated_answer = 1. ""
desired_abs_gbl_error = 1.0000000000E-10 ""
range = 10. ""
estimated_steps = 10000000. ""
step_error = 9.999999999999999000000000000000000E-18 ""
est_needed_step_err = 9.999999999999999000000000000000000E-18 ""
opt_iter = 1
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 2.37774506119559000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-183 ""
estimated_step_error = 2.37774506119559000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-183 ""
best_h = 2.000000E-6 ""
opt_iter = 2
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.5956777081256130000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-175 ""
estimated_step_error = 1.5956777081256130000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-175 ""
best_h = 4.000000E-6 ""
opt_iter = 3
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.070841194756502600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-167 ""
estimated_step_error = 1.070841194756502600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-167 ""
best_h = 8.000000E-6 ""
opt_iter = 4
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 7.18629376791760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-160 ""
estimated_step_error = 7.18629376791760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-160 ""
best_h = 1.600000E-5 ""
opt_iter = 5
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 4.82264032270001700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-152 ""
estimated_step_error = 4.82264032270001700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-152 ""
best_h = 3.200000E-5 ""
opt_iter = 6
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 3.236419419035611000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-144 ""
estimated_step_error = 3.236419419035611000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-144 ""
best_h = 6.400000E-5 ""
opt_iter = 7
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 2.17192468711874640000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-136 ""
estimated_step_error = 2.17192468711874640000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-136 ""
best_h = 1.280000E-4 ""
opt_iter = 8
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.457554495463191000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-128 ""
estimated_step_error = 1.457554495463191000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-128 ""
best_h = 2.560000E-4 ""
opt_iter = 9
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 9.7814894993393480000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-121 ""
estimated_step_error = 9.7814894993393480000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-121 ""
best_h = 5.120000E-4 ""
opt_iter = 10
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 6.56425569036393800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-113 ""
estimated_step_error = 6.56425569036393800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-113 ""
best_h = 1.024000E-3 ""
opt_iter = 11
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 4.405209778132351000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-105 ""
estimated_step_error = 4.405209778132351000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-105 ""
best_h = 2.048000E-3 ""
opt_iter = 12
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 2.9563028190094210000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-97 ""
estimated_step_error = 2.9563028190094210000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-97 ""
best_h = 4.096000E-3 ""
opt_iter = 13
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.98396348752674100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-89 ""
estimated_step_error = 1.98396348752674100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-89 ""
best_h = 8.192000E-3 ""
opt_iter = 14
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.3314452100642554000000000000000000000000000000000000000000000000000000000000000000000000000000000E-81 ""
estimated_step_error = 1.3314452100642554000000000000000000000000000000000000000000000000000000000000000000000000000000000E-81 ""
best_h = 1.638400E-2 ""
opt_iter = 15
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 8.93557791394638800000000000000000000000000000000000000000000000000000000000000000000000000E-74 ""
estimated_step_error = 8.93557791394638800000000000000000000000000000000000000000000000000000000000000000000000000E-74 ""
best_h = 3.276800E-2 ""
opt_iter = 16
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 5.997101387214167000000000000000000000000000000000000000000000000000000000000000000E-66 ""
estimated_step_error = 5.997101387214167000000000000000000000000000000000000000000000000000000000000000000E-66 ""
best_h = 6.553600E-2 ""
opt_iter = 17
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 4.0253046245403445000000000000000000000000000000000000000000000000000000000E-58 ""
estimated_step_error = 4.0253046245403445000000000000000000000000000000000000000000000000000000000E-58 ""
best_h = 0.131072 ""
opt_iter = 18
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 2.702294143945218600000000000000000000000000000000000000000000000000E-50 ""
estimated_step_error = 2.702294143945218600000000000000000000000000000000000000000000000000E-50 ""
best_h = 0.1 ""
"START of Soultion"
" "
"TOP MAIN SOLVE Loop"
x[1] = -5. " "
y[1] (analytic) = 1.9589242746631386 " "
y[1] (numeric) = 1.9589242746631386 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2720105554446847 " "
Order of pole (three term test) = 22.080464235461776 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.99 " "
y[1] (analytic) = 1.9617129034267933 " "
y[1] (numeric) = 1.9617129034267935 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.13189144312175100000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2635659992260429 " "
Order of pole (three term test) = 22.075108291382403 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.98 " "
y[1] (analytic) = 1.9644053617015305 " "
y[1] (numeric) = 1.9644053617015307 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.130340047192197000000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25501602012187713 " "
Order of pole (three term test) = 22.06992229832134 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.970000000000000 " "
y[1] (analytic) = 1.9670013802437658 " "
y[1] (numeric) = 1.967001380243766 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.12884824156815710000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24636403800983084 " "
Order of pole (three term test) = 22.064908330606652 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.960000000000000 " "
y[1] (analytic) = 1.9695006994538087 " "
y[1] (numeric) = 1.969500699453809 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.127415720068592900000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23761351356739063 " "
Order of pole (three term test) = 22.060068393758574 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.950000000000001 " "
y[1] (analytic) = 1.9719030694018205 " "
y[1] (numeric) = 1.971903069401821 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.252084378492182600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22876794688766142 " "
Order of pole (three term test) = 22.055404423687314 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.940000000000001 " "
y[1] (analytic) = 1.9742082498528088 " "
y[1] (numeric) = 1.9742082498528093 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.249454736516132700000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21983087607937585 " "
Order of pole (three term test) = 22.050918285918726 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.9300000000000015 " "
y[1] (analytic) = 1.9764160102906494 " "
y[1] (numeric) = 1.9764160102906498 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.24694197748760100000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21080587585169766 " "
Order of pole (three term test) = 22.046611774848092 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.920000000000002 " "
y[1] (analytic) = 1.9785261299411383 " "
y[1] (numeric) = 1.9785261299411387 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.244545589414451400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20169655608438636 " "
Order of pole (three term test) = 22.04248661302242 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.910000000000002 " "
y[1] (analytic) = 1.9805383977940685 " "
y[1] (numeric) = 1.9805383977940691 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 3.363397627216096500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1925065603838928 " "
Order of pole (three term test) = 22.038544450451443 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.900000000000002 " "
y[1] (analytic) = 1.982452612624332 " "
y[1] (numeric) = 1.9824526126243327 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 3.360150000727023500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18323956462596586 " "
Order of pole (three term test) = 22.034786863947627 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.890000000000002 " "
y[1] (analytic) = 1.984268583012041 " "
y[1] (numeric) = 1.9842685830120417 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 3.35707484600662900000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17389927548535006 " "
Order of pole (three term test) = 22.031215356495473 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.880000000000003 " "
y[1] (analytic) = 1.98598612736167 " "
y[1] (numeric) = 1.9859861273616706 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 3.35417154026163840000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1644894289531661 " "
Order of pole (three term test) = 22.027831356650346 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.870000000000003 " "
y[1] (analytic) = 1.987605073920215 " "
y[1] (numeric) = 1.9876050739202156 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 3.35143949628412600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15501378884256412 " "
Order of pole (three term test) = 22.02463621796705 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.860000000000003 " "
y[1] (analytic) = 1.9891252607943692 " "
y[1] (numeric) = 1.9891252607943701 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.46517088293085100000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.145476145283248 " "
Order of pole (three term test) = 22.021631218458467 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.850000000000003 " "
y[1] (analytic) = 1.9905465359667127 " "
y[1] (numeric) = 1.9905465359667136 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.46198269496261600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1358803132054746 " "
Order of pole (three term test) = 22.018817560084347 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.840000000000003 " "
y[1] (analytic) = 1.9918687573109122 " "
y[1] (numeric) = 1.991868757310913 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.459020788594501600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1262301308141324 " "
Order of pole (three term test) = 22.016196368270506 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.830000000000004 " "
y[1] (analytic) = 1.9930917926059348 " "
y[1] (numeric) = 1.993091792605936 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.570355709375322000000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11652945805351064 " "
Order of pole (three term test) = 22.013768691458733 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.820000000000004 " "
y[1] (analytic) = 1.994215519549271 " "
y[1] (numeric) = 1.994215519549272 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.45377348131795600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10678217506337283 " "
Order of pole (three term test) = 22.011535500687373 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.810000000000004 " "
y[1] (analytic) = 1.9952398257691621 " "
y[1] (numeric) = 1.9952398257691633 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.56435878176783600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.69921806269529800E-2 " "
Order of pole (three term test) = 22.009497689202963 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.800000000000004 " "
y[1] (analytic) = 1.9961646088358402 " "
y[1] (numeric) = 1.9961646088358413 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.56178092583575400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.71633906114942400E-2 " "
Order of pole (three term test) = 22.00765607210294 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.7900000000000045 " "
y[1] (analytic) = 1.9969897762717692 " "
y[1] (numeric) = 1.9969897762717703 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.55948276659613200000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.72997364019538400E-2 " "
Order of pole (three term test) = 22.006011386009572 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.780000000000005 " "
y[1] (analytic) = 1.9977152455608929 " "
y[1] (numeric) = 1.9977152455608942 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66895661186252200000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.7405163328502200E-2 " "
Order of pole (three term test) = 22.004564288775367 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.770000000000005 " "
y[1] (analytic) = 1.9983409441568873 " "
y[1] (numeric) = 1.9983409441568885 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.55572375110177500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.74836290884425600E-2 " "
Order of pole (three term test) = 22.003315359219936 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.760000000000005 " "
y[1] (analytic) = 1.9988668094904138 " "
y[1] (numeric) = 1.9988668094904152 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66511457003897500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.75391021631857760E-2 " "
Order of pole (three term test) = 22.002265096898444 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.750000000000005 " "
y[1] (analytic) = 1.9992927889753778 " "
y[1] (numeric) = 1.999292788975379 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66369446684677300000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.75755602309100E-2 " "
Order of pole (three term test) = 22.00141392190181 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.7400000000000055 " "
y[1] (analytic) = 1.9996188400141852 " "
y[1] (numeric) = 1.9996188400141865 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.662607907518700000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.759698857554258000E-2 " "
Order of pole (three term test) = 22.000762174688692 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.730000000000006 " "
y[1] (analytic) = 1.9998449300020043 " "
y[1] (numeric) = 1.9998449300020056 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66185467464646100000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.760737849269991300E-2 " "
Order of pole (three term test) = 22.000310115949286 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.720000000000006 " "
y[1] (analytic) = 1.9999710363300243 " "
y[1] (numeric) = 1.9999710363300258 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 7.77167372047249600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.610725693222086000E-3 " "
Order of pole (three term test) = 22.00005792650106 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.710000000000006 " "
y[1] (analytic) = 1.999997146387718 " "
y[1] (numeric) = 1.9999971463877193 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66134765220267600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.3889712950580394000E-3 " "
Order of pole (three term test) = 22.00000570721642 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.700000000000006 " "
y[1] (analytic) = 1.999923257564101 " "
y[1] (numeric) = 1.9999232575641024 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66159376121704200000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.238771272667267700E-2 " "
Order of pole (three term test) = 22.0001534789824 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.690000000000007 " "
y[1] (analytic) = 1.9997493772479942 " "
y[1] (numeric) = 1.9997493772479955 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66217299381596400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.238149923836393300E-2 " "
Order of pole (three term test) = 22.000501182692247 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.680000000000007 " "
y[1] (analytic) = 1.9994755228272842 " "
y[1] (numeric) = 1.9994755228272856 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66308546586428900000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.236633344877587500E-2 " "
Order of pole (three term test) = 22.001048679269125 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.670000000000007 " "
y[1] (analytic) = 1.9991017216871851 " "
y[1] (numeric) = 1.9991017216871865 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66433135991595100000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.23382215573536600E-2 " "
Order of pole (three term test) = 22.001795749721705 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.660000000000007 " "
y[1] (analytic) = 1.9986280112074992 " "
y[1] (numeric) = 1.9986280112075006 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66591092529159300000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.22931749418105600E-2 " "
Order of pole (three term test) = 22.002742095231756 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.6500000000000075 " "
y[1] (analytic) = 1.99805443875888 " "
y[1] (numeric) = 1.9980544387588812 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.66782447818461400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.22272117535237600E-2 " "
Order of pole (three term test) = 22.003887337273692 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.640000000000008 " "
y[1] (analytic) = 1.9973810616980938 " "
y[1] (numeric) = 1.9973810616980952 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.67007240179571500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.2136358510220700E-2 " "
Order of pole (three term test) = 22.00523101776598 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.630000000000008 " "
y[1] (analytic) = 1.9966079473622862 " "
y[1] (numeric) = 1.9966079473622875 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.67265514649605200000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.2016651685318900E-2 " "
Order of pole (three term test) = 22.006772599254333 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.620000000000008 " "
y[1] (analytic) = 1.9957351730622461 " "
y[1] (numeric) = 1.9957351730622475 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.67557323001910500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.18641392932836500E-2 " "
Order of pole (three term test) = 22.0085114651267 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.610000000000008 " "
y[1] (analytic) = 1.9947628260746764 " "
y[1] (numeric) = 1.9947628260746777 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.67882723768140200000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10167488247037004 " "
Order of pole (three term test) = 22.01044691985992 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.6000000000000085 " "
y[1] (analytic) = 1.9936910036334654 " "
y[1] (numeric) = 1.9936910036334667 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.68241782263226600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1114449570501151 " "
Order of pole (three term test) = 22.012578189297916 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.590000000000009 " "
y[1] (analytic) = 1.9925198129199642 " "
y[1] (numeric) = 1.9925198129199655 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.68634570613277400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12117045513295328 " "
Order of pole (three term test) = 22.01490442096132 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.580000000000009 " "
y[1] (analytic) = 1.991249371052268 " "
y[1] (numeric) = 1.9912493710522694 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.69061167786411400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1308474866493228 " "
Order of pole (three term test) = 22.017424684388484 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.570000000000010 " "
y[1] (analytic) = 1.9898798050735051 " "
y[1] (numeric) = 1.9898798050735065 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.69521659626559500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14047218091564237 " "
Order of pole (three term test) = 22.02013797150764 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.560000000000010 " "
y[1] (analytic) = 1.988411251939132 " "
y[1] (numeric) = 1.9884112519391333 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 6.70016138890251400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15004068818253322 " "
Order of pole (three term test) = 22.023043197040113 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.55000000000001 " "
y[1] (analytic) = 1.9868438585032382 " "
y[1] (numeric) = 1.9868438585032393 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.58787254405350200000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15954918117466696 " "
Order of pole (three term test) = 22.026139198934445 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.54000000000001 " "
y[1] (analytic) = 1.9851777815038611 " "
y[1] (numeric) = 1.9851777815038623 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.592562212660435000000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16899385662162467 " "
Order of pole (three term test) = 22.029424738831135 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.53000000000001 " "
y[1] (analytic) = 1.9834131875473124 " "
y[1] (numeric) = 1.9834131875473135 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.597537777784254000000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1783709367791552 " "
Order of pole (three term test) = 22.032898502558037 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.52000000000001 " "
y[1] (analytic) = 1.9815502530915174 " "
y[1] (numeric) = 1.9815502530915183 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.48224019711048400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1876766709402216 " "
Order of pole (three term test) = 22.036559100655975 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.5100000000000104 " "
y[1] (analytic) = 1.979589164428369 " "
y[1] (numeric) = 1.9795891644283699 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.486680547964091400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1969073369352341 " "
Order of pole (three term test) = 22.04040506893453 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.500000000000010 " "
y[1] (analytic) = 1.9775301176650992 " "
y[1] (numeric) = 1.9775301176651001 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.49135217595983460000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2060592426208686 " "
Order of pole (three term test) = 22.044434869057657 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.490000000000010 " "
y[1] (analytic) = 1.9753733187046687 " "
y[1] (numeric) = 1.9753733187046696 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.49625603064508050000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21512872735687458 " "
Order of pole (three term test) = 22.048646889159038 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.480000000000011 " "
y[1] (analytic) = 1.9731189832251763 " "
y[1] (numeric) = 1.973118983225177 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 3.37604483276654700000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22411216347028284 " "
Order of pole (three term test) = 22.053039444486803 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.470000000000011 " "
y[1] (analytic) = 1.970767336658291 " "
y[1] (numeric) = 1.9707673366582916 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 3.38007334698684500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23300595770642524 " "
Order of pole (three term test) = 22.057610778077365 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.4600000000000115 " "
y[1] (analytic) = 1.96831861416671 " "
y[1] (numeric) = 1.9683186141667106 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 3.384278388573297400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2418065526661898 " "
Order of pole (three term test) = 22.06235906145826 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.450000000000012 " "
y[1] (analytic) = 1.9657730606206418 " "
y[1] (numeric) = 1.9657730606206423 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.259107212049456500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2505104282289325 " "
Order of pole (three term test) = 22.06728239537944 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.440000000000012 " "
y[1] (analytic) = 1.9631309305733198 " "
y[1] (numeric) = 1.9631309305733202 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.262147689356457000000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2591141029604779 " "
Order of pole (three term test) = 22.072378810572967 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.430000000000012 " "
y[1] (analytic) = 1.9603924882355468 " "
y[1] (numeric) = 1.9603924882355472 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.265307648927820400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.26761413550564783 " "
Order of pole (three term test) = 22.077646268540736 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.420000000000012 " "
y[1] (analytic) = 1.9575580074492747 " "
y[1] (numeric) = 1.957558007449275 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.268587741257880300000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2760071259647562 " "
Order of pole (three term test) = 22.083082662369772 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.410000000000013 " "
y[1] (analytic) = 1.95462777166022 " "
y[1] (numeric) = 1.9546277716602203 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.135994321499030300000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28428971725352464 " "
Order of pole (three term test) = 22.088685817575044 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.400000000000013 " "
y[1] (analytic) = 1.95160207388952 " "
y[1] (numeric) = 1.9516020738895201 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.137755528628328600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.29245859644587086 " "
Order of pole (three term test) = 22.094453492969162 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.390000000000013 " "
y[1] (analytic) = 1.9484812167044299 " "
y[1] (numeric) = 1.94848121670443 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.1395778569556200000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3005104960990346 " "
Order of pole (three term test) = 22.10038338155888 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.380000000000013 " "
y[1] (analytic) = 1.9452655121880678 " "
y[1] (numeric) = 1.945265512188068 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.141461684966962500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3084421955605118 " "
Order of pole (three term test) = 22.106473111467828 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.370000000000013 " "
y[1] (analytic) = 1.9419552819082053 " "
y[1] (numeric) = 1.9419552819082055 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.14340740486488290000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31625052225627276 " "
Order of pole (three term test) = 22.11272024688523 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.360000000000014 " "
y[1] (analytic) = 1.9385508568851124 " "
y[1] (numeric) = 1.9385508568851124 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.323932352959749 " "
Order of pole (three term test) = 22.119122289040224 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.350000000000014 " "
y[1] (analytic) = 1.9350525775584542 " "
y[1] (numeric) = 1.935052577558454 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.147486158775051500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3314846150410808 " "
Order of pole (three term test) = 22.125676677201287 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.340000000000014 " "
y[1] (analytic) = 1.9314607937532478 " "
y[1] (numeric) = 1.9314607937532475 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.149620047391955700000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3389042876961329 " "
Order of pole (three term test) = 22.13238078970057 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.330000000000014 " "
y[1] (analytic) = 1.9277758646448808 " "
y[1] (numeric) = 1.9277758646448806 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.151817537491240200000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3461884031547699 " "
Order of pole (three term test) = 22.139231944982445 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.3200000000000145 " "
y[1] (analytic) = 1.9239981587231934 " "
y[1] (numeric) = 1.9239981587231931 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.154079092634812700000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.353334047867929 " "
Order of pole (three term test) = 22.14622740267615 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.310000000000015 " "
y[1] (analytic) = 1.9201280537556296 " "
y[1] (numeric) = 1.9201280537556291 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.312810382523481600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3603383636729986 " "
Order of pole (three term test) = 22.15336436469188 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.300000000000015 " "
y[1] (analytic) = 1.916165936749461 " "
y[1] (numeric) = 1.9161659367494603 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 3.47638898072213800000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3671985489370463 " "
Order of pole (three term test) = 22.160639976339983 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.290000000000015 " "
y[1] (analytic) = 1.9121122039130865 " "
y[1] (numeric) = 1.9121122039130858 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 3.483759025290822400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.373911859677435 " "
Order of pole (three term test) = 22.168051327472813 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.280000000000015 " "
y[1] (analytic) = 1.9079672606164118 " "
y[1] (numeric) = 1.9079672606164109 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 4.65510304098813050000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38047561065937735 " "
Order of pole (three term test) = 22.17559545364873 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.270000000000016 " "
y[1] (analytic) = 1.9037315213503123 " "
y[1] (numeric) = 1.9037315213503112 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.83182561287674500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3868871764699967 " "
Order of pole (three term test) = 22.18326933731785 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.260000000000016 " "
y[1] (analytic) = 1.8994054096851847 " "
y[1] (numeric) = 1.8994054096851836 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.84510825842688100000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39314399256845467 " "
Order of pole (three term test) = 22.191069909029025 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.250000000000016 " "
y[1] (analytic) = 1.8949893582285906 " "
y[1] (numeric) = 1.8949893582285895 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.85872960079827300000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39924355631173536 " "
Order of pole (three term test) = 22.19899404865757 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.240000000000016 " "
y[1] (analytic) = 1.8904838085819957 " "
y[1] (numeric) = 1.8904838085819946 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 5.87269258580906300000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.40518342795566803 " "
Order of pole (three term test) = 22.207038586653304 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.230000000000016 " "
y[1] (analytic) = 1.8858892112966101 " "
y[1] (numeric) = 1.8858892112966088 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 7.06440029228551800000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41096123163079196 " "
Order of pole (three term test) = 22.215200305308272 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.220000000000017 " "
y[1] (analytic) = 1.8812060258283334 " "
y[1] (numeric) = 1.8812060258283319 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 8.26231796589543500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41657465629267365 " "
Order of pole (three term test) = 22.22347594004383 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.210000000000017 " "
y[1] (analytic) = 1.8764347204918095 " "
y[1] (numeric) = 1.876434720491808 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 8.28332697909063200000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4220214566462929 " "
Order of pole (three term test) = 22.231862180716444 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.200000000000017 " "
y[1] (analytic) = 1.8715757724135964 " "
y[1] (numeric) = 1.8715757724135946 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 9.49123655896362300000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42729945404413155 " "
Order of pole (three term test) = 22.240355672941643 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.190000000000017 " "
y[1] (analytic) = 1.8666296674844527 " "
y[1] (numeric) = 1.8666296674844507 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.07059342253914270000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43240653735760237 " "
Order of pole (three term test) = 22.248953019435785 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.1800000000000175 " "
y[1] (analytic) = 1.8615969003107495 " "
y[1] (numeric) = 1.8615969003107473 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.1927641525830120000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.437340663821474 " "
Order of pole (three term test) = 22.257650781374906 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.170000000000018 " "
y[1] (analytic) = 1.8564779741650104 " "
y[1] (numeric) = 1.856477974165008 " "
absolute error = 2.4424906541753444000000000000000E-15 " "
relative error = 1.3156582992986520000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44209985985094796 " "
Order of pole (three term test) = 22.2664454797702 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.160000000000018 " "
y[1] (analytic) = 1.8512734009355838 " "
y[1] (numeric) = 1.8512734009355813 " "
absolute error = 2.4424906541753444000000000000000E-15 " "
relative error = 1.319357072240640000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44668222183106804 " "
Order of pole (three term test) = 22.27533359685956 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.150000000000018 " "
y[1] (analytic) = 1.8459837010754558 " "
y[1] (numeric) = 1.8459837010754534 " "
absolute error = 2.4424906541753444000000000000000E-15 " "
relative error = 1.32313771392042530000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45108591687813904 " "
Order of pole (three term test) = 22.284311577514675 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.140000000000018 " "
y[1] (analytic) = 1.8406094035502045 " "
y[1] (numeric) = 1.8406094035502019 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.4476375345909712000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4553091835728575 " "
Order of pole (three term test) = 22.29337583066297 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.1300000000000185 " "
y[1] (analytic) = 1.835151045785104 " "
y[1] (numeric) = 1.8351510457851008 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.69393384598515380000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45935033266485487 " "
Order of pole (three term test) = 22.302522730724046 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.120000000000019 " "
y[1] (analytic) = 1.8296091736113813 " "
y[1] (numeric) = 1.8296091736113782 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.69906475863064650000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.463207747748376 " "
Order of pole (three term test) = 22.31174861905984 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.110000000000019 " "
y[1] (analytic) = 1.8239843412116363 " "
y[1] (numeric) = 1.8239843412116332 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 1.7043043620020562000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46687988590881857 " "
Order of pole (three term test) = 22.321049805438026 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.100000000000020 " "
y[1] (analytic) = 1.8182771110644216 " "
y[1] (numeric) = 1.8182771110644182 " "
absolute error = 3.3306690738754696000000000000000E-15 " "
relative error = 1.8317719854734860000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4703652783398799 " "
Order of pole (three term test) = 22.330422569508066 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.090000000000020 " "
y[1] (analytic) = 1.8124880538879955 " "
y[1] (numeric) = 1.8124880538879922 " "
absolute error = 3.3306690738754696000000000000000E-15 " "
relative error = 1.83762263521174720000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47366253093105887 " "
Order of pole (three term test) = 22.3398631622893 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.08000000000002 " "
y[1] (analytic) = 1.806617748583252 " "
y[1] (numeric) = 1.8066177485832484 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.96649993148054480000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47677032482528137 " "
Order of pole (three term test) = 22.349367807670486 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.07000000000002 " "
y[1] (analytic) = 1.8006667821758295 " "
y[1] (numeric) = 1.8006667821758255 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 2.21962382391540560000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4796874169464265 " "
Order of pole (three term test) = 22.3589327039202 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.06000000000002 " "
y[1] (analytic) = 1.7946357497574092 " "
y[1] (numeric) = 1.7946357497574053 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 2.22708306640544360000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48241264049654037 " "
Order of pole (three term test) = 22.36855402520748 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.05000000000002 " "
y[1] (analytic) = 1.7885252544262076 " "
y[1] (numeric) = 1.7885252544262036 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 2.23469189420689100000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4849449054225381 " "
Order of pole (three term test) = 22.37822792313208 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.0400000000000205 " "
y[1] (analytic) = 1.7823359072266656 " "
y[1] (numeric) = 1.7823359072266614 " "
absolute error = 4.218847493575595000000000000000E-15 " "
relative error = 2.36703276664619770000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48728319885221283 " "
Order of pole (three term test) = 22.38795052826383 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.030000000000020 " "
y[1] (analytic) = 1.7760683270883453 " "
y[1] (numeric) = 1.7760683270883408 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.50040611094109500000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48942658549936946 " "
Order of pole (three term test) = 22.397717951690296 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.020000000000021 " "
y[1] (analytic) = 1.7697231407640375 " "
y[1] (numeric) = 1.769723140764033 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.5093710966470000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4913742080379271 " "
Order of pole (three term test) = 22.407526286572345 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.010000000000021 " "
y[1] (analytic) = 1.7633009827670871 " "
y[1] (numeric) = 1.7633009827670827 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.51851053331331340000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49312528744483825 " "
Order of pole (three term test) = 22.417371609706798 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.000000000000021 " "
y[1] (analytic) = 1.7568024953079422 " "
y[1] (numeric) = 1.7568024953079375 " "
absolute error = 4.6629367034256575000000000000000E-15 " "
relative error = 2.65421794190263350000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4946791233116878 " "
Order of pole (three term test) = 22.427249983095674 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9900000000000215 " "
y[1] (analytic) = 1.750228328229933 " "
y[1] (numeric) = 1.7502283282299282 " "
absolute error = 4.6629367034256575000000000000000E-15 " "
relative error = 2.6641876538139730000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4960350941248463 " "
Order of pole (three term test) = 22.43715745552132 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9800000000000217 " "
y[1] (analytic) = 1.7435791389442892 " "
y[1] (numeric) = 1.7435791389442843 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.80169749639725000000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49719265751406794 " "
Order of pole (three term test) = 22.44709006412687 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.970000000000022 " "
y[1] (analytic) = 1.736855592364398 " "
y[1] (numeric) = 1.7368555923643931 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.81254315547368960000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.498151350469431 " "
Order of pole (three term test) = 22.457043836001315 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.960000000000022 " "
y[1] (analytic) = 1.7300583608393147 " "
y[1] (numeric) = 1.7300583608393096 " "
absolute error = 5.10702591327572000000000000000E-15 " "
relative error = 2.95193851772613870000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49891078952653567 " "
Order of pole (three term test) = 22.467014789768612 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9500000000000224 " "
y[1] (analytic) = 1.7231881240865274 " "
y[1] (numeric) = 1.723188124086522 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 3.09256455735250850000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4994706709198851 " "
Order of pole (three term test) = 22.476998937180213 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9400000000000226 " "
y[1] (analytic) = 1.7162455691239864 " "
y[1] (numeric) = 1.7162455691239809 " "
absolute error = 5.551115123125783000000000000000E-15 " "
relative error = 3.23445270478350500000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49983077070438636 " "
Order of pole (three term test) = 22.486992284710254 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.930000000000023 " "
y[1] (analytic) = 1.709231390201402 " "
y[1] (numeric) = 1.7092313902013965 " "
absolute error = 5.551115123125783000000000000000E-15 " "
relative error = 3.2477259398282430000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4999909448449277 " "
Order of pole (three term test) = 22.496990835152985 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.920000000000023 " "
y[1] (analytic) = 1.7021462887308219 " "
y[1] (numeric) = 1.702146288730816 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 3.39169421939372660000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4999511292739878 " "
Order of pole (three term test) = 22.50699058922153 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9100000000000232 " "
y[1] (analytic) = 1.6949909732164885 " "
y[1] (numeric) = 1.6949909732164825 " "
absolute error = 5.995204332975845000000000000000E-15 " "
relative error = 3.5370125432580240000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49971133991726485 " "
Order of pole (three term test) = 22.516987547147597 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9000000000000234 " "
y[1] (analytic) = 1.6877661591839908 " "
y[1] (numeric) = 1.6877661591839845 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.68371465683778270000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4992716726873038 " "
Order of pole (three term test) = 22.5269777102813 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8900000000000237 " "
y[1] (analytic) = 1.6804725691087112 " "
y[1] (numeric) = 1.6804725691087048 " "
absolute error = 6.439293542825908000000000000000E-15 " "
relative error = 3.83183496190073400000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4986323034451347 " "
Order of pole (three term test) = 22.53695708269059 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.880000000000024 " "
y[1] (analytic) = 1.6731109323435795 " "
y[1] (numeric) = 1.6731109323435727 " "
absolute error = 6.8833827526759700000000000000000E-15 " "
relative error = 4.1141221538934050000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4977934879299296 " "
Order of pole (three term test) = 22.546921672759556 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.870000000000024 " "
y[1] (analytic) = 1.665681985046137 " "
y[1] (numeric) = 1.6656819850461302 " "
absolute error = 6.8833827526759700000000000000000E-15 " "
relative error = 4.13247115264040700000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49675556165671075 " "
Order of pole (three term test) = 22.55686749478503 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8600000000000243 " "
y[1] (analytic) = 1.6581864701049231 " "
y[1] (numeric) = 1.6581864701049163 " "
absolute error = 6.8833827526759700000000000000000E-15 " "
relative error = 4.15115119847794870000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4955189397821481 " "
Order of pole (three term test) = 22.566790570570816 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8500000000000245 " "
y[1] (analytic) = 1.6506251370651859 " "
y[1] (numeric) = 1.6506251370651788 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 4.30468868918018670000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49408411693850396 " "
Order of pole (three term test) = 22.57668693101891 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8400000000000247 " "
y[1] (analytic) = 1.6429987420539278 " "
y[1] (numeric) = 1.6429987420539205 " "
absolute error = 7.327471962526033000000000000000E-15 " "
relative error = 4.4598159298441664000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49245166703578486 " "
Order of pole (three term test) = 22.58655261771707 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.830000000000025 " "
y[1] (analytic) = 1.635308047704295 " "
y[1] (numeric) = 1.6353080477042874 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 4.6165715248875283000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4906222430321858 " "
Order of pole (three term test) = 22.596383684522156 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.820000000000025 " "
y[1] (analytic) = 1.627553823079313 " "
y[1] (numeric) = 1.6275538230793054 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 4.6385664550051360000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48859657667291684 " "
Order of pole (three term test) = 22.606176199138535 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8100000000000254 " "
y[1] (analytic) = 1.6197368435949833 " "
y[1] (numeric) = 1.6197368435949753 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 4.9351262267760915000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4863754781975127 " "
Order of pole (three term test) = 22.615926244690925 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8000000000000256 " "
y[1] (analytic) = 1.6118578909427392 " "
y[1] (numeric) = 1.6118578909427312 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 4.9592497094305554000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4839598360157497 " "
Order of pole (three term test) = 22.625629921291107 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.790000000000026 " "
y[1] (analytic) = 1.6039177530112811 " "
y[1] (numeric) = 1.603917753011273 " "
absolute error = 8.215650382226158000000000000000E-15 " "
relative error = 5.1222391963688020000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4813506163522921 " "
Order of pole (three term test) = 22.635283347597806 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.780000000000026 " "
y[1] (analytic) = 1.5959172238077848 " "
y[1] (numeric) = 1.5959172238077766 " "
absolute error = 8.215650382226158000000000000000E-15 " "
relative error = 5.1479176110550370000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4785488628602161 " "
Order of pole (three term test) = 22.64488266236922 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.770000000000026 " "
y[1] (analytic) = 1.587857103378504 " "
y[1] (numeric) = 1.5878571033784954 " "
absolute error = 8.659739592076221000000000000000E-15 " "
relative error = 5.4537272741046930000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47555569620356264 " "
Order of pole (three term test) = 22.654424026007437 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7600000000000264 " "
y[1] (analytic) = 1.5797381977287643 " "
y[1] (numeric) = 1.5797381977287557 " "
absolute error = 8.659739592076221000000000000000E-15 " "
relative error = 5.4817561571446340000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4723723136090856 " "
Order of pole (three term test) = 22.663903622094207 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7500000000000266 " "
y[1] (analytic) = 1.5715613187423656 " "
y[1] (numeric) = 1.5715613187423567 " "
absolute error = 8.881784197001252000000000000000E-15 " "
relative error = 5.6515670696889230000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46899998838737855 " "
Order of pole (three term test) = 22.67331765891748 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.740000000000027 " "
y[1] (analytic) = 1.5633272841003922 " "
y[1] (numeric) = 1.563327284100383 " "
absolute error = 9.325873406851315000000000000000E-15 " "
relative error = 5.9654005285386140000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46544006942356647 " "
Order of pole (three term test) = 22.682662370988076 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.730000000000027 " "
y[1] (analytic) = 1.5550369171994465 " "
y[1] (numeric) = 1.555036917199437 " "
absolute error = 9.547918011776346000000000000000E-15 " "
relative error = 6.1399944311108260000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46169398063776995 " "
Order of pole (three term test) = 22.691934020545737 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7200000000000273 " "
y[1] (analytic) = 1.5466910470693098 " "
y[1] (numeric) = 1.5466910470693003 " "
absolute error = 9.547918011776346000000000000000E-15 " "
relative error = 6.1731255442823330000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45776322041555545 " "
Order of pole (three term test) = 22.70112889905426 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7100000000000275 " "
y[1] (analytic) = 1.5382905082900409 " "
y[1] (numeric) = 1.5382905082900311 " "
absolute error = 9.769962616701378000000000000000E-15 " "
relative error = 6.351181759264470000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4536493610086036 " "
Order of pole (three term test) = 22.71024332868485 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7000000000000277 " "
y[1] (analytic) = 1.5298361409085168 " "
y[1] (numeric) = 1.5298361409085068 " "
absolute error = 9.992007221626409000000000000000E-15 " "
relative error = 6.5314231730023720000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4493540479058255 " "
Order of pole (three term test) = 22.71927366378717 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.690000000000028 " "
y[1] (analytic) = 1.5213287903544304 " "
y[1] (numeric) = 1.5213287903544204 " "
absolute error = 9.992007221626409000000000000000E-15 " "
relative error = 6.5679472346661680000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4448789991751925 " "
Order of pole (three term test) = 22.72821629234759 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.680000000000028 " "
y[1] (analytic) = 1.512769307355748 " "
y[1] (numeric) = 1.5127693073557376 " "
absolute error = 1.043609643147647100000000000000E-14 " "
relative error = 6.8986701281759180000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44022600477653057 " "
Order of pole (three term test) = 22.737067637433906 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6700000000000284 " "
y[1] (analytic) = 1.5041585478536361 " "
y[1] (numeric) = 1.5041585478536257 " "
absolute error = 1.043609643147647100000000000000E-14 " "
relative error = 6.9381625004679810000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4353969258455596 " "
Order of pole (three term test) = 22.745824158626114 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6600000000000286 " "
y[1] (analytic) = 1.4954973729168697 " "
y[1] (numeric) = 1.495497372916859 " "
absolute error = 1.065814103640150300000000000000E-14 " "
relative error = 7.1268203003349280000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4303936939494656 " "
Order of pole (three term test) = 22.754482353432486 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6500000000000288 " "
y[1] (analytic) = 1.4867866486557246 " "
y[1] (numeric) = 1.4867866486557137 " "
absolute error = 1.088018564132653400000000000000E-14 " "
relative error = 7.3179199256085830000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42521831031429747 " "
Order of pole (three term test) = 22.76303875869053 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.640000000000029 " "
y[1] (analytic) = 1.4780272461353683 " "
y[1] (numeric) = 1.4780272461353572 " "
absolute error = 1.110223024625156500000000000000E-14 " "
relative error = 7.5115193412576260000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41987284502450556 " "
Order of pole (three term test) = 22.771489951952233 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.630000000000029 " "
y[1] (analytic) = 1.469220041288753 " "
y[1] (numeric) = 1.4692200412887417 " "
absolute error = 1.132427485117659700000000000000E-14 " "
relative error = 7.7076779059202760000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.414359436194934 " "
Order of pole (three term test) = 22.779832552852984 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6200000000000294 " "
y[1] (analytic) = 1.4603659148290242 " "
y[1] (numeric) = 1.460365914829013 " "
absolute error = 1.132427485117659700000000000000E-14 " "
relative error = 7.7544091766222930000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4086802891156033 " "
Order of pole (three term test) = 22.788063224463635 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6100000000000296 " "
y[1] (analytic) = 1.4514657521614498 " "
y[1] (numeric) = 1.451465752161438 " "
absolute error = 1.17683640610266600000000000000E-14 " "
relative error = 8.1079171475467490000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4028376753696243 " "
Order of pole (three term test) = 22.796178674625295 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.60000000000003 " "
y[1] (analytic) = 1.442520443294879 " "
y[1] (numeric) = 1.4425204432948673 " "
absolute error = 1.17683640610266600000000000000E-14 " "
relative error = 8.1581956884759230000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39683393192459454 " "
Order of pole (three term test) = 22.804175657266097 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.59000000000003 " "
y[1] (analytic) = 1.4335308827527449 " "
y[1] (numeric) = 1.4335308827527329 " "
absolute error = 1.19904086659516900000000000000E-14 " "
relative error = 8.3642485908130890000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.390671460197844 " "
Order of pole (three term test) = 22.81205097369963 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5800000000000303 " "
y[1] (analytic) = 1.42449796948361 " "
y[1] (numeric) = 1.4244979694835977 " "
absolute error = 1.221245327087672200000000000000E-14 " "
relative error = 8.573162989697920000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38435272509589735 " "
Order of pole (three term test) = 22.81980147390429 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5700000000000305 " "
y[1] (analytic) = 1.4154226067712736 " "
y[1] (numeric) = 1.4154226067712614 " "
absolute error = 1.221245327087672200000000000000E-14 " "
relative error = 8.6281321299047210000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3778802540285468 " "
Order of pole (three term test) = 22.82742405778336 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5600000000000307 " "
y[1] (analytic) = 1.4063057021444447 " "
y[1] (numeric) = 1.4063057021444323 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 8.8419593669005680000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37125663589792157 " "
Order of pole (three term test) = 22.834915676404908 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.550000000000031 " "
y[1] (analytic) = 1.3971481672859882 " "
y[1] (numeric) = 1.3971481672859756 " "
absolute error = 1.265654248072678500000000000000E-14 " "
relative error = 9.0588405561255430000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.36448452006295917 " "
Order of pole (three term test) = 22.84227333322138 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.540000000000031 " "
y[1] (analytic) = 1.387950917941759 " "
y[1] (numeric) = 1.387950917941746 " "
absolute error = 1.310063169057684700000000000000E-14 " "
relative error = 9.4388292274803440000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35756661527970085 " "
Order of pole (three term test) = 22.84949408526815 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5300000000000313 " "
y[1] (analytic) = 1.378714873829027 " "
y[1] (numeric) = 1.3787148738290136 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 9.6631120388957310000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3505056886178216 " "
Order of pole (three term test) = 22.856575044340666 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5200000000000315 " "
y[1] (analytic) = 1.3694409585445064 " "
y[1] (numeric) = 1.3694409585444929 " "
absolute error = 1.35447209004269100000000000000E-14 " "
relative error = 9.8906935826008520000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3433045643538421 " "
Order of pole (three term test) = 22.863513378149715 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5100000000000318 " "
y[1] (analytic) = 1.360130099471998 " "
y[1] (numeric) = 1.3601300994719843 " "
absolute error = 1.376676550535194000000000000000E-14 " "
relative error = 1.0121653443811142000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33596612284145433 " "
Order of pole (three term test) = 22.87030631145429 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.500000000000032 " "
y[1] (analytic) = 1.3507832276896499 " "
y[1] (numeric) = 1.3507832276896359 " "
absolute error = 1.398881011027697200000000000000E-14 " "
relative error = 1.0356073294012635000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32849329935941873 " "
Order of pole (three term test) = 22.876951127171633 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.490000000000032 " "
y[1] (analytic) = 1.3414012778768512 " "
y[1] (numeric) = 1.341401277876837 " "
absolute error = 1.421085471520200400000000000000E-14 " "
relative error = 1.0594036959391244000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3208890829374913 " "
Order of pole (three term test) = 22.88344516746406 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4800000000000324 " "
y[1] (analytic) = 1.3319851882207647 " "
y[1] (numeric) = 1.3319851882207503 " "
absolute error = 1.443289932012703500000000000000E-14 " "
relative error = 1.0835630491812127000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31315651516085297 " "
Order of pole (three term test) = 22.889785834802016 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4700000000000326 " "
y[1] (analytic) = 1.3225359003225097 " "
y[1] (numeric) = 1.322535900322495 " "
absolute error = 1.465494392505206600000000000000E-14 " "
relative error = 1.1080942242458865000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3052986889535152 " "
Order of pole (three term test) = 22.89597059300315 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.460000000000033 " "
y[1] (analytic) = 1.3130543591030015 " "
y[1] (numeric) = 1.3130543591029866 " "
absolute error = 1.487698852997709800000000000000E-14 " "
relative error = 1.133006293824739000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2973187473411908 " "
Order of pole (three term test) = 22.901996968246603 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.450000000000033 " "
y[1] (analytic) = 1.3035415127084606 " "
y[1] (numeric) = 1.3035415127084455 " "
absolute error = 1.50990331349021300000000000000E-14 " "
relative error = 1.1583085761135292000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2892198821941268 " "
Order of pole (three term test) = 22.907862550062653 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4400000000000333 " "
y[1] (analytic) = 1.2939983124155994 " "
y[1] (numeric) = 1.293998312415584 " "
absolute error = 1.53210777398271600000000000000E-14 " "
relative error = 1.1840106430452917000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28100533295039914 " "
Order of pole (three term test) = 22.91356499229678 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4300000000000335 " "
y[1] (analytic) = 1.2844257125364944 " "
y[1] (numeric) = 1.2844257125364789 " "
absolute error = 1.55431223447521920000000000000E-14 " "
relative error = 1.2101223288388946000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.27267838532017913 " "
Order of pole (three term test) = 22.919102014048104 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4200000000000337 " "
y[1] (analytic) = 1.2748246703231565 " "
y[1] (numeric) = 1.2748246703231407 " "
absolute error = 1.576516694967722300000000000000E-14 " "
relative error = 1.2366537388769622000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.26424236997149386 " "
Order of pole (three term test) = 22.924471400581773 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.410000000000034 " "
y[1] (analytic) = 1.265196145871806 " "
y[1] (numeric) = 1.26519614587179 " "
absolute error = 1.598721155460225400000000000000E-14 " "
relative error = 1.2636152589277752000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2557006611980053 " "
Order of pole (three term test) = 22.929671004214736 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.400000000000034 " "
y[1] (analytic) = 1.2555411020268643 " "
y[1] (numeric) = 1.255541102026848 " "
absolute error = 1.620925615952728500000000000000E-14 " "
relative error = 1.2910175647264840000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24705667556933375 " "
Order of pole (three term test) = 22.93469874517489 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3900000000000343 " "
y[1] (analytic) = 1.2458605042846702 " "
y[1] (numeric) = 1.2458605042846538 " "
absolute error = 1.643130076445231700000000000000E-14 " "
relative error = 1.3188716319317464000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23831387056447978 " "
Order of pole (three term test) = 22.939552612432884 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3800000000000345 " "
y[1] (analytic) = 1.2361553206969307 " "
y[1] (numeric) = 1.236155320696914 " "
absolute error = 1.665334536937734800000000000000E-14 " "
relative error = 1.3471887464747048000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2294757431888759 " "
Order of pole (three term test) = 22.944230664506527 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3700000000000347 " "
y[1] (analytic) = 1.226426521773917 " "
y[1] (numeric) = 1.2264265217739 " "
absolute error = 1.68753899743023800000000000000E-14 " "
relative error = 1.3759805153180826000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22054582857563235 " "
Order of pole (three term test) = 22.948731030237365 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.360000000000035 " "
y[1] (analytic) = 1.2166750803874138 " "
y[1] (numeric) = 1.216675080387397 " "
absolute error = 1.68753899743023800000000000000E-14 " "
relative error = 1.3870087623500038000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2115276985715303 " "
Order of pole (three term test) = 22.953051909539113 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.350000000000035 " "
y[1] (analytic) = 1.2069019716734342 " "
y[1] (numeric) = 1.2069019716734168 " "
absolute error = 1.731947918415244200000000000000E-14 " "
relative error = 1.435036116490725200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20242496030833132 " "
Order of pole (three term test) = 22.957191574117644 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3400000000000354 " "
y[1] (analytic) = 1.1971081729347046 " "
y[1] (numeric) = 1.1971081729346873 " "
absolute error = 1.731947918415244200000000000000E-14 " "
relative error = 1.4467764547704848000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1932412547599724 " "
Order of pole (three term test) = 22.961148368162345 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3300000000000356 " "
y[1] (analytic) = 1.187294663542938 " "
y[1] (numeric) = 1.1872946635429205 " "
absolute error = 1.754152378907747300000000000000E-14 " "
relative error = 1.4774364214467886000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18398025528622536 " "
Order of pole (three term test) = 22.964920709008336 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.320000000000036 " "
y[1] (analytic) = 1.1774624248408956 " "
y[1] (numeric) = 1.1774624248408778 " "
absolute error = 1.776356839400250500000000000000E-14 " "
relative error = 1.508631444982442000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.174645666163401 " "
Order of pole (three term test) = 22.96850708776958 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.310000000000036 " "
y[1] (analytic) = 1.1676124400442538 " "
y[1] (numeric) = 1.1676124400442358 " "
absolute error = 1.798561299892753600000000000000E-14 " "
relative error = 1.5403752462799952000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16524122110268943 " "
Order of pole (three term test) = 22.971906069942413 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3000000000000362 " "
y[1] (analytic) = 1.1577456941432842 " "
y[1] (numeric) = 1.157745694143266 " "
absolute error = 1.820765760385256700000000000000E-14 " "
relative error = 1.5726819539005915000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1557706817567235 " "
Order of pole (three term test) = 22.97511629597925 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2900000000000365 " "
y[1] (analytic) = 1.1478631738043545 " "
y[1] (numeric) = 1.1478631738043361 " "
absolute error = 1.8429702208777599000000000000E-14 " "
relative error = 1.6055661187993486000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14623783621496966 " "
Order of pole (three term test) = 22.9781364818325 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2800000000000367 " "
y[1] (analytic) = 1.1379658672712634 " "
y[1] (numeric) = 1.1379658672712447 " "
absolute error = 1.86517468137026300000000000000E-14 " "
relative error = 1.6390427296758722000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13664649748854163 " "
Order of pole (three term test) = 22.980965419468088 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.270000000000037 " "
y[1] (analytic) = 1.1280547642664163 " "
y[1] (numeric) = 1.1280547642663974 " "
absolute error = 1.88737914186276600000000000000E-14 " "
relative error = 1.673127228969371000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12700050198504742 " "
Order of pole (three term test) = 22.983601977348677 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.260000000000037 " "
y[1] (analytic) = 1.1181308558918543 " "
y[1] (numeric) = 1.1181308558918355 " "
absolute error = 1.88737914186276600000000000000E-14 " "
relative error = 1.6879769768604916000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11730370797407633 " "
Order of pole (three term test) = 22.98604510088626 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2500000000000373 " "
y[1] (analytic) = 1.1081951345301455 " "
y[1] (numeric) = 1.1081951345301264 " "
absolute error = 1.909583602355269200000000000000E-14 " "
relative error = 1.7231474339263345000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10755999404394417 " "
Order of pole (three term test) = 22.988293812864 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2400000000000375 " "
y[1] (analytic) = 1.0982485937451458 " "
y[1] (numeric) = 1.0982485937451265 " "
absolute error = 1.931788062847772400000000000000E-14 " "
relative error = 1.7589715787936203000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.77732575503086800E-2 " "
Order of pole (three term test) = 22.9903472138271 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2300000000000377 " "
y[1] (analytic) = 1.0882922281826453 " "
y[1] (numeric) = 1.0882922281826257 " "
absolute error = 1.953992523340275500000000000000E-14 " "
relative error = 1.7954667622714493000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.79474130572791600E-2 " "
Order of pole (three term test) = 22.99220448244255 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.220000000000038 " "
y[1] (analytic) = 1.078327033470903 " "
y[1] (numeric) = 1.0783270334708832 " "
absolute error = 1.976196983832778600000000000000E-14 " "
relative error = 1.8326508772313950000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.80863907716432400E-2 " "
Order of pole (three term test) = 22.993864875827644 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.210000000000038 " "
y[1] (analytic) = 1.0683540061210859 " "
y[1] (numeric) = 1.068354006121066 " "
absolute error = 1.998401444325281800000000000000E-14 " "
relative error = 1.8705423790948797000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.81941349708366600E-2 " "
Order of pole (three term test) = 22.995327729847197 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2000000000000384 " "
y[1] (analytic) = 1.0583741434276182 " "
y[1] (numeric) = 1.058374143427598 " "
absolute error = 2.02060590481778500000000000000E-14 " "
relative error = 1.90916030721793000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.827460242528475000E-2 " "
Order of pole (three term test) = 22.996592459379098 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1900000000000386 " "
y[1] (analytic) = 1.0483884433684527 " "
y[1] (numeric) = 1.0483884433684323 " "
absolute error = 2.04281036531028800000000000000E-14 " "
relative error = 1.948524307218397200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.83317608157470400E-2 " "
Order of pole (three term test) = 22.997658558548377 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.180000000000039 " "
y[1] (analytic) = 1.038397904505274 " "
y[1] (numeric) = 1.0383979045052534 " "
absolute error = 2.065014825802791200000000000000E-14 " "
relative error = 1.9886546542932695000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.83695871462979700E-2 " "
Order of pole (three term test) = 22.998525600929607 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.170000000000039 " "
y[1] (analytic) = 1.0284035258836428 " "
y[1] (numeric) = 1.028403525883622 " "
absolute error = 2.087219286295294300000000000000E-14 " "
relative error = 2.0295722775764283000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.839206615357805500E-2 " "
Order of pole (three term test) = 22.99919323971738 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.160000000000039 " "
y[1] (analytic) = 1.0184063069330929 " "
y[1] (numeric) = 1.0184063069330718 " "
absolute error = 2.109423746787797400000000000000E-14 " "
relative error = 2.0712987855900836000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.840318871295250600E-2 " "
Order of pole (three term test) = 22.999661207865085 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1500000000000394 " "
y[1] (analytic) = 1.0084072473671881 " "
y[1] (numeric) = 1.0084072473671668 " "
absolute error = 2.131628207280300600000000000000E-14 " "
relative error = 2.113856492846206000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.406950242214374000E-3 " "
Order of pole (three term test) = 22.9999293181917 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1400000000000396 " "
y[1] (analytic) = 0.9984073470835527 " "
y[1] (numeric) = 0.9984073470835312 " "
absolute error = 2.153832667772803700000000000000E-14 " "
relative error = 2.157268447657525200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5926508965294714000E-3 " "
Order of pole (three term test) = 22.999997463456683 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.13000000000004 " "
y[1] (analytic) = 0.9884076060638817 " "
y[1] (numeric) = 0.9884076060638599 " "
absolute error = 2.176037128265306800000000000000E-14 " "
relative error = 2.2015584612211772000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.159161499614976600E-2 " "
Order of pole (three term test) = 22.99986561640283 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.12000000000004 " "
y[1] (analytic) = 0.978409024273944 " "
y[1] (numeric) = 0.978409024273922 " "
absolute error = 2.209343819004061500000000000000E-14 " "
relative error = 2.2580983660116657000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.158594260432442300E-2 " "
Order of pole (three term test) = 22.999533829767188 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1100000000000403 " "
y[1] (analytic) = 0.9684126015635866 " "
y[1] (numeric) = 0.9684126015635642 " "
absolute error = 2.231548279496564600000000000000E-14 " "
relative error = 2.3043362673033535000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.15716361232660560E-2 " "
Order of pole (three term test) = 22.999002236260022 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1000000000000405 " "
y[1] (analytic) = 0.9584193375667499 " "
y[1] (numeric) = 0.9584193375667274 " "
absolute error = 2.253752739989067800000000000000E-14 " "
relative error = 2.3515309548228966000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.15447014087079300E-2 " "
Order of pole (three term test) = 22.99827104851161 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0900000000000407 " "
y[1] (analytic) = 0.9484302316015062 " "
y[1] (numeric) = 0.9484302316014834 " "
absolute error = 2.27595720048157100000000000000E-14 " "
relative error = 2.3997096725168926000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.15011493675083100E-2 " "
Order of pole (three term test) = 22.99734055898733 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.080000000000041 " "
y[1] (analytic) = 0.9384462825701276 " "
y[1] (numeric) = 0.9384462825701047 " "
absolute error = 2.29816166097407400000000000000E-14 " "
relative error = 2.4489005962920826000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.14369975532344500E-2 " "
Order of pole (three term test) = 22.99621113987056 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.070000000000041 " "
y[1] (analytic) = 0.9284684888591975 " "
y[1] (numeric) = 0.9284684888591743 " "
absolute error = 2.320366121466577200000000000000E-14 " "
relative error = 2.4991328723687697000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.13482717590884200E-2 " "
Order of pole (three term test) = 22.99488324291391 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0600000000000414 " "
y[1] (analytic) = 0.9184978482397721 " "
y[1] (numeric) = 0.9184978482397487 " "
absolute error = 2.342570581959080300000000000000E-14 " "
relative error = 2.550436657471142000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.12310076075363200E-2 " "
Order of pole (three term test) = 22.99335739925846 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0500000000000416 " "
y[1] (analytic) = 0.9085353577676044 " "
y[1] (numeric) = 0.9085353577675808 " "
absolute error = 2.364775042451583400000000000000E-14 " "
relative error = 2.6028431609554076000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.10812521360069200E-2 " "
Order of pole (three term test) = 22.9916342192213 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.040000000000042 " "
y[1] (analytic) = 0.8985820136834397 " "
y[1] (numeric) = 0.8985820136834158 " "
absolute error = 2.386979502944086600000000000000E-14 " "
relative error = 2.656384688982872000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10089506537802359 " "
Order of pole (three term test) = 22.989714392051496 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.030000000000042 " "
y[1] (analytic) = 0.888638811313392 " "
y[1] (numeric) = 0.8886388113133679 " "
absolute error = 2.409183963436589700000000000000E-14 " "
relative error = 2.711094690851798000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11066852193913869 " "
Order of pole (three term test) = 22.98759868565431 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.020000000000042 " "
y[1] (analytic) = 0.8787067449694121 " "
y[1] (numeric) = 0.8787067449693878 " "
absolute error = 2.431388423929092800000000000000E-14 " "
relative error = 2.7670078076090443000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12039771256703863 " "
Order of pole (three term test) = 22.985287946284082 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0100000000000424 " "
y[1] (analytic) = 0.8687868078498581 " "
y[1] (numeric) = 0.8687868078498335 " "
absolute error = 2.45359288442159600000000000000E-14 " "
relative error = 2.824159923070126400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1300787457151933 " "
Order of pole (three term test) = 22.98278309820577 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0000000000000426 " "
y[1] (analytic) = 0.858879991940175 " "
y[1] (numeric) = 0.8588799919401503 " "
absolute error = 2.464695114667847500000000000000E-14 " "
relative error = 2.869661812822303400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13970774909942207 " "
Order of pole (three term test) = 22.980085143325194 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.990000000000043 " "
y[1] (analytic) = 0.8489872879136984 " "
y[1] (numeric) = 0.8489872879136734 " "
absolute error = 2.498001805406602200000000000000E-14 " "
relative error = 2.9423312232921560000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14928087124675618 " "
Order of pole (three term test) = 22.977195160788344 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.980000000000043 " "
y[1] (analytic) = 0.8391096850325868 " "
y[1] (numeric) = 0.8391096850325617 " "
absolute error = 2.509104035652854000000000000000E-14 " "
relative error = 2.990197920973124000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15879428303597648 " "
Order of pole (three term test) = 22.97411430654968 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9700000000000433 " "
y[1] (analytic) = 0.8292481710488971 " "
y[1] (numeric) = 0.8292481710488718 " "
absolute error = 2.53130849614535700000000000000E-14 " "
relative error = 3.0525343130314800000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16824417922921156 " "
Order of pole (three term test) = 22.970843812909855 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9600000000000435 " "
y[1] (analytic) = 0.8194037321058099 " "
y[1] (numeric) = 0.8194037321057844 " "
absolute error = 2.542410726391608500000000000000E-14 " "
relative error = 3.1027570741687880000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17762677999398066 " "
Order of pole (three term test) = 22.967384988022694 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9500000000000437 " "
y[1] (analytic) = 0.8095773526390156 " "
y[1] (numeric) = 0.80957735263899 " "
absolute error = 2.564615186884111600000000000000E-14 " "
relative error = 3.167844528412412400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18693833241507773 " "
Order of pole (three term test) = 22.963739215372026 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.940000000000044 " "
y[1] (analytic) = 0.7997700152782725 " "
y[1] (numeric) = 0.7997700152782466 " "
absolute error = 2.586819647376615000000000000000E-14 " "
relative error = 3.2344544030905625000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19617511199568652 " "
Order of pole (three term test) = 22.95990795321834 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.930000000000044 " "
y[1] (analytic) = 0.7899827007491438 " "
y[1] (numeric) = 0.7899827007491177 " "
absolute error = 2.60902410786911800000000000000E-14 " "
relative error = 3.302634482242421000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20533342414713038 " "
Order of pole (three term test) = 22.955892734015375 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9200000000000443 " "
y[1] (analytic) = 0.7802163877749264 " "
y[1] (numeric) = 0.7802163877749 " "
absolute error = 2.642330798607872600000000000000E-14 " "
relative error = 3.386664058856094000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2144096056666578 " "
Order of pole (three term test) = 22.951695163797297 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9100000000000446 " "
y[1] (analytic) = 0.770472052978779 " "
y[1] (numeric) = 0.7704720529787524 " "
absolute error = 2.65343302885412400000000000000E-14 " "
relative error = 3.4439056142211655000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22340002620267516 " "
Order of pole (three term test) = 22.947316921536224 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9000000000000448 " "
y[1] (analytic) = 0.7607506707860612 " "
y[1] (numeric) = 0.7607506707860343 " "
absolute error = 2.686739719592879000000000000000E-14 " "
relative error = 3.5316954986273624000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23230108970683902 " "
Order of pole (three term test) = 22.94275975847068 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.890000000000045 " "
y[1] (analytic) = 0.7510532133268909 " "
y[1] (numeric) = 0.7510532133268638 " "
absolute error = 2.70894418008538200000000000000E-14 " "
relative error = 3.6068605153631533000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24110923587242655 " "
Order of pole (three term test) = 22.938025497405135 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.880000000000045 " "
y[1] (analytic) = 0.741380650338933 " "
y[1] (numeric) = 0.7413806503389057 " "
absolute error = 2.73114864057788500000000000000E-14 " "
relative error = 3.6838682521985180000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.249820941558412 " "
Order of pole (three term test) = 22.933116031980887 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8700000000000454 " "
y[1] (analytic) = 0.7317339490704258 " "
y[1] (numeric) = 0.7317339490703982 " "
absolute error = 2.753353101070388000000000000000E-14 " "
relative error = 3.762778950693993500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25843272219867564 " "
Order of pole (three term test) = 22.928033325918648 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8600000000000456 " "
y[1] (analytic) = 0.7221140741834571 " "
y[1] (numeric) = 0.7221140741834294 " "
absolute error = 2.764455331316640000000000000000E-14 " "
relative error = 3.828280641729071600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2669411331957835 " "
Order of pole (three term test) = 22.92277941223308 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.850000000000046 " "
y[1] (analytic) = 0.7125219876574994 " "
y[1] (numeric) = 0.7125219876574714 " "
absolute error = 2.797762022055394500000000000000E-14 " "
relative error = 3.926562366522006000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.27534277129878065 " "
Order of pole (three term test) = 22.917356392419606 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.840000000000046 " "
y[1] (analytic) = 0.7029586486932118 " "
y[1] (numeric) = 0.7029586486931835 " "
absolute error = 2.831068712794149000000000000000E-14 " "
relative error = 4.027361663530363000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28363427596444646 " "
Order of pole (three term test) = 22.911766435613842 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8300000000000463 " "
y[1] (analytic) = 0.693425013616521 " "
y[1] (numeric) = 0.6934250136164926 " "
absolute error = 2.84217094304040100000000000000E-14 " "
relative error = 4.098743032382421000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2918123307014663 " "
Order of pole (three term test) = 22.906011777723972 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8200000000000465 " "
y[1] (analytic) = 0.6839220357829905 " "
y[1] (numeric) = 0.6839220357829617 " "
absolute error = 2.875477633779155400000000000000E-14 " "
relative error = 4.204393897744726500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.29987366439698465 " "
Order of pole (three term test) = 22.900094720536423 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8100000000000467 " "
y[1] (analytic) = 0.674450665482484 " "
y[1] (numeric) = 0.6744506654824551 " "
absolute error = 2.88657986402540700000000000000E-14 " "
relative error = 4.279897717886340700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.30781505262500647 " "
Order of pole (three term test) = 22.894017630795208 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.800000000000047 " "
y[1] (analytic) = 0.6650118498441393 " "
y[1] (numeric) = 0.6650118498441101 " "
absolute error = 2.91988655476416170000000000000E-14 " "
relative error = 4.39072860949546000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3156333189361243 " "
Order of pole (three term test) = 22.887782939255157 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.790000000000047 " "
y[1] (analytic) = 0.6556065327416543 " "
y[1] (numeric) = 0.6556065327416248 " "
absolute error = 2.94209101525666500000000000000E-14 " "
relative error = 4.487586484157279300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3233253361280557 " "
Order of pole (three term test) = 22.881393139709772 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7800000000000473 " "
y[1] (analytic) = 0.6462356546989013 " "
y[1] (numeric) = 0.6462356546988718 " "
absolute error = 2.953193245502916400000000000000E-14 " "
relative error = 4.5698395376821000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3308880274964832 " "
Order of pole (three term test) = 22.87485078799369 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7700000000000475 " "
y[1] (analytic) = 0.636900152795876 " "
y[1] (numeric) = 0.6369001527958462 " "
absolute error = 2.975397705995419500000000000000E-14 " "
relative error = 4.6716862807050114000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33831836806569343 " "
Order of pole (three term test) = 22.86815850096034 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7600000000000477 " "
y[1] (analytic) = 0.6276009605749888 " "
y[1] (numeric) = 0.6276009605749588 " "
absolute error = 2.997602166487922700000000000000E-14 " "
relative error = 4.77628677263593000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.34561338579852885 " "
Order of pole (three term test) = 22.861318955435323 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.750000000000048 " "
y[1] (analytic) = 0.6183390079477127 " "
y[1] (numeric) = 0.6183390079476825 " "
absolute error = 3.01980662698042600000000000000E-14 " "
relative error = 4.8837394829791864000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35277016278516216 " "
Order of pole (three term test) = 22.854334887145665 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.740000000000048 " "
y[1] (analytic) = 0.609115221101592 " "
y[1] (numeric) = 0.6091152211015616 " "
absolute error = 3.04201108747292900000000000000E-14 " "
relative error = 4.994147218930789500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3597858364102202 " "
Order of pole (three term test) = 22.847209089625537 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7300000000000484 " "
y[1] (analytic) = 0.5999305224076248 " "
y[1] (numeric) = 0.5999305224075943 " "
absolute error = 3.053113317719180500000000000000E-14 " "
relative error = 5.0891114948886240000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3666576004977954 " "
Order of pole (three term test) = 22.83994441309896 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7200000000000486 " "
y[1] (analytic) = 0.5907858303280269 " "
y[1] (numeric) = 0.590785830327996 " "
absolute error = 3.08642000845793500000000000000E-14 " "
relative error = 5.224262076062719000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37338270643387367 " "
Order of pole (three term test) = 22.832543763339675 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.710000000000049 " "
y[1] (analytic) = 0.5816820593243854 " "
y[1] (numeric) = 0.5816820593243544 " "
absolute error = 3.10862446895043830000000000000E-14 " "
relative error = 5.3441986375874420000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3799584642657488 " "
Order of pole (three term test) = 22.825010100508912 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.700000000000049 " "
y[1] (analytic) = 0.5726201197662144 " "
y[1] (numeric) = 0.5726201197661831 " "
absolute error = 3.130828929442941400000000000000E-14 " "
relative error = 5.467549639578113000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38638224377796265 " "
Order of pole (three term test) = 22.817346437971356 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6900000000000492 " "
y[1] (analytic) = 0.5636009178399181 " "
y[1] (numeric) = 0.5636009178398865 " "
absolute error = 3.153033389935444600000000000000E-14 " "
relative error = 5.594443319964596000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3926514755443599 " "
Order of pole (three term test) = 22.80955584108984 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6800000000000495 " "
y[1] (analytic) = 0.554625355458173 " "
y[1] (numeric) = 0.5546253554581413 " "
absolute error = 3.17523785042794770000000000000E-14 " "
relative error = 5.725013865990495000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3987636519558224 " "
Order of pole (three term test) = 22.801641425999243 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6700000000000497 " "
y[1] (analytic) = 0.5456943301697379 " "
y[1] (numeric) = 0.5456943301697059 " "
absolute error = 3.19744231092045100000000000000E-14 " "
relative error = 5.859401745892958000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.40471632822328074 " "
Order of pole (three term test) = 22.79360635836008 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.66000000000005 " "
y[1] (analytic) = 0.5368087350696988 " "
y[1] (numeric) = 0.5368087350696668 " "
absolute error = 3.208544541166702400000000000000E-14 " "
relative error = 5.9770721516856610000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41050712335559514 " "
Order of pole (three term test) = 22.78545385209227 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.65000000000005 " "
y[1] (analytic) = 0.5279694587101615 " "
y[1] (numeric) = 0.5279694587101292 " "
absolute error = 3.230749001659205500000000000000E-14 " "
relative error = 6.11919676102474000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41613372111192287 " "
Order of pole (three term test) = 22.777187168089625 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6400000000000503 " "
y[1] (analytic) = 0.5191773850113958 " "
y[1] (numeric) = 0.5191773850113632 " "
absolute error = 3.252953462151708700000000000000E-14 " "
relative error = 6.265591599449786000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42159387092818135 " "
Order of pole (three term test) = 22.768809612915522 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6300000000000505 " "
y[1] (analytic) = 0.5104333931734446 " "
y[1] (numeric) = 0.5104333931734119 " "
absolute error = 3.27515792264421200000000000000E-14 " "
relative error = 6.4164256618910450000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4268853888172454 " "
Order of pole (three term test) = 22.760324537480333 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6200000000000507 " "
y[1] (analytic) = 0.5017383575882053 " "
y[1] (numeric) = 0.5017383575881724 " "
absolute error = 3.286260152890463400000000000000E-14 " "
relative error = 6.5497486950910290000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43200615824251176 " "
Order of pole (three term test) = 22.7517353357011 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.610000000000051 " "
y[1] (analytic) = 0.49309314775199053 " "
y[1] (numeric) = 0.49309314775195745 " "
absolute error = 3.308464613382966500000000000000E-14 " "
relative error = 6.7096138497690380000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43695413096448643 " "
Order of pole (three term test) = 22.743045443144016 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.600000000000051 " "
y[1] (analytic) = 0.4844986281785796 " "
y[1] (numeric) = 0.48449862817854633 " "
absolute error = 3.32511795875234400000000000000E-14 " "
relative error = 6.863007994992198000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44172732786005264 " "
Order of pole (three term test) = 22.734258335650235 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5900000000000514 " "
y[1] (analytic) = 0.47595565831276776 " "
y[1] (numeric) = 0.4759556583127343 " "
absolute error = 3.34732241924484700000000000000E-14 " "
relative error = 7.032845099711367000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4463238397140939 " "
Order of pole (three term test) = 22.72537752794559 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5800000000000516 " "
y[1] (analytic) = 0.46746509244442247 " "
y[1] (numeric) = 0.46746509244438883 " "
absolute error = 3.363975764614224300000000000000E-14 " "
relative error = 7.196207415239613000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4507418279831552 " "
Order of pole (three term test) = 22.716406572234774 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.570000000000052 " "
y[1] (analytic) = 0.4590277796230551 " "
y[1] (numeric) = 0.4590277796230213 " "
absolute error = 3.37507799486047600000000000000E-14 " "
relative error = 7.352666101454745000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4549795255308338 " "
Order of pole (three term test) = 22.707349056780437 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.560000000000052 " "
y[1] (analytic) = 0.4506445635729168 " "
y[1] (numeric) = 0.4506445635728828 " "
absolute error = 3.40283357047610500000000000000E-14 " "
relative error = 7.551036549729746000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4590352373346129 " "
Order of pole (three term test) = 22.69820860446801 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5500000000000522 " "
y[1] (analytic) = 0.44231628260862643 " "
y[1] (numeric) = 0.4423162826085923 " "
absolute error = 3.413935800722356400000000000000E-14 " "
relative error = 7.71831364784529100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46290734116384646 " "
Order of pole (three term test) = 22.68898887135654 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5400000000000524 " "
y[1] (analytic) = 0.4340437695513404 " "
y[1] (numeric) = 0.4340437695513061 " "
absolute error = 3.43058914609173370000000000000E-14 " "
relative error = 7.903786177227802000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46659428822863 " "
Order of pole (three term test) = 22.67969354521634 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5300000000000527 " "
y[1] (analytic) = 0.42582785164547066 " "
y[1] (numeric) = 0.42582785164543613 " "
absolute error = 3.45279360658423700000000000000E-14 " "
relative error = 8.108425959556332000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47009460379929635 " "
Order of pole (three term test) = 22.670326344053947 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.520000000000053 " "
y[1] (analytic) = 0.4176693504759611 " "
y[1] (numeric) = 0.4176693504759264 " "
absolute error = 3.46944695195361400000000000000E-14 " "
relative error = 8.306683140622974000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47340688779628753 " "
Order of pole (three term test) = 22.660891014624916 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.510000000000053 " "
y[1] (analytic) = 0.40956908188613006 " "
y[1] (numeric) = 0.40956908188609514 " "
absolute error = 3.491651412446117300000000000000E-14 " "
relative error = 8.52518309332948900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47652981535016764 " "
Order of pole (three term test) = 22.651391330935212 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5000000000000533 " "
y[1] (analytic) = 0.4015278558960862 " "
y[1] (numeric) = 0.40152785589605117 " "
absolute error = 3.50275364269236900000000000000E-14 " "
relative error = 8.723563237911113000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.479462137331554 " "
Order of pole (three term test) = 22.64183109273166 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4900000000000535 " "
y[1] (analytic) = 0.3935464766217277 " "
y[1] (numeric) = 0.39354647662169245 " "
absolute error = 3.52495810318487200000000000000E-14 " "
relative error = 8.956904235158535000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4822026808507511 " "
Order of pole (three term test) = 22.63221412398208 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4800000000000537 " "
y[1] (analytic) = 0.38562574219433066 " "
y[1] (numeric) = 0.3856257421942953 " "
absolute error = 3.536060333431123600000000000000E-14 " "
relative error = 9.169668791584914000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48475034972689135 " "
Order of pole (three term test) = 22.62254427134573 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.470000000000054 " "
y[1] (analytic) = 0.3777664446807374 " "
y[1] (numeric) = 0.37776644468070186 " "
absolute error = 3.55271367880050100000000000000E-14 " "
relative error = 9.404524220786772000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4871041249263925 " "
Order of pole (three term test) = 22.61282540263475 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.460000000000054 " "
y[1] (analytic) = 0.36996937000414987 " "
y[1] (numeric) = 0.3699693700041141 " "
absolute error = 3.57491813929300400000000000000E-14 " "
relative error = 9.662740835147798000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48926306497055816 " "
Order of pole (three term test) = 22.603061405267034 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4500000000000544 " "
y[1] (analytic) = 0.3622352978655381 " "
y[1] (numeric) = 0.3622352978655022 " "
absolute error = 3.591571484662381400000000000000E-14 " "
relative error = 9.915023482873208000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.491226306312156 " "
Order of pole (three term test) = 22.59325618471134 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4400000000000546 " "
y[1] (analytic) = 0.35456500166567095 " "
y[1] (numeric) = 0.35456500166563487 " "
absolute error = 3.60822483003175900000000000000E-14 " "
relative error = 1.017648333332699500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.492993063680826 " "
Order of pole (three term test) = 22.583413662925164 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.430000000000055 " "
y[1] (analytic) = 0.3469592484277766 " "
y[1] (numeric) = 0.3469592484277403 " "
absolute error = 3.63042929052426200000000000000E-14 " "
relative error = 1.046356108671354800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49456263039717674 " "
Order of pole (three term test) = 22.573537776785983 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.420000000000055 " "
y[1] (analytic) = 0.3394187987208406 " "
y[1] (numeric) = 0.33941879872080416 " "
absolute error = 3.641531520770513500000000000000E-14 " "
relative error = 1.072872667776288600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4959343786554493 " "
Order of pole (three term test) = 22.563632476516585 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.410000000000055 " "
y[1] (analytic) = 0.33194440658355007 " "
y[1] (numeric) = 0.33194440658351343 " "
absolute error = 3.663735981263016600000000000000E-14 " "
relative error = 1.103719752042533000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49710775977462984 " "
Order of pole (three term test) = 22.553701724104997 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4000000000000554 " "
y[1] (analytic) = 0.3245368194488899 " "
y[1] (numeric) = 0.3245368194488532 " "
absolute error = 3.669287096386142400000000000000E-14 " "
relative error = 1.130622744937575500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4980823044179155 " "
Order of pole (three term test) = 22.543749491719772 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3900000000000556 " "
y[1] (analytic) = 0.31719677806940083 " "
y[1] (numeric) = 0.31719677806936397 " "
absolute error = 3.6859404417555197000000000000E-14 " "
relative error = 1.162035902189730700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4988576227804429 " "
Order of pole (three term test) = 22.533779760121188 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.380000000000056 " "
y[1] (analytic) = 0.3099250164431041 " "
y[1] (numeric) = 0.309925016443067 " "
absolute error = 3.70814490224802300000000000000E-14 " "
relative error = 1.196465178837463200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4994334047452044 " "
Order of pole (three term test) = 22.52379651706895 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.370000000000056 " "
y[1] (analytic) = 0.3027222617401024 " "
y[1] (numeric) = 0.30272226174006517 " "
absolute error = 3.724798247617400000000000000E-14 " "
relative error = 1.230434202693447400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4998094200070911 " "
Order of pole (three term test) = 22.51380375572716 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3600000000000563 " "
y[1] (analytic) = 0.29558923422986383 " "
y[1] (numeric) = 0.29558923422982647 " "
absolute error = 3.73590047786365200000000000000E-14 " "
relative error = 1.263882457558803700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4999855181650118 " "
Order of pole (three term test) = 22.503805473067125 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3500000000000565 " "
y[1] (analytic) = 0.2885266472091953 " "
y[1] (numeric) = 0.28852664720915777 " "
absolute error = 3.75255382323302900000000000000E-14 " "
relative error = 1.300591768396439400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.499961628782051 " "
Order of pole (three term test) = 22.493805668268607 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3400000000000567 " "
y[1] (analytic) = 0.2815352069309133 " "
y[1] (numeric) = 0.28153520693087564 " "
absolute error = 3.763656053479280700000000000000E-14 " "
relative error = 1.336833177813833700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4997377614136439 " "
Order of pole (three term test) = 22.48380834112019 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.330000000000057 " "
y[1] (analytic) = 0.27461561253321964 " "
y[1] (numeric) = 0.2746156125331818 " "
absolute error = 3.78586051397178400000000000000E-14 " "
relative error = 1.378603524777316500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49931400560375244 " "
Order of pole (three term test) = 22.473817490419442 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.320000000000057 " "
y[1] (analytic) = 0.26776855596978755 " "
y[1] (numeric) = 0.26776855596974963 " "
absolute error = 3.791411629094909600000000000000E-14 " "
relative error = 1.415928623644180400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49869053084905074 " "
Order of pole (three term test) = 22.46383711237343 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3100000000000573 " "
y[1] (analytic) = 0.2609947219405677 " "
y[1] (numeric) = 0.26099472194052964 " "
absolute error = 3.80806497446428700000000000000E-14 " "
relative error = 1.45905823158042200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.497867586531128 " "
Order of pole (three term test) = 22.4538711990003 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3000000000000576 " "
y[1] (analytic) = 0.25429478782331816 " "
y[1] (numeric) = 0.2542947878232799 " "
absolute error = 3.82471831983366430000000000000E-14 " "
relative error = 1.5040490418903300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4968455018167386 " "
Order of pole (three term test) = 22.443923736532525 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2900000000000578 " "
y[1] (analytic) = 0.2476694236058673 " "
y[1] (numeric) = 0.24766942360582891 " "
absolute error = 3.83859610764147900000000000000E-14 " "
relative error = 1.54988696293414500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49562468552614114 " "
Order of pole (three term test) = 22.43399870382247 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.280000000000058 " "
y[1] (analytic) = 0.24111929181911584 " "
y[1] (numeric) = 0.2411192918190773 " "
absolute error = 3.85524945301085600000000000000E-14 " "
relative error = 1.598897136734711300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4942056259695742 " "
Order of pole (three term test) = 22.42410007075088 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.270000000000058 " "
y[1] (analytic) = 0.23464504747078396 " "
y[1] (numeric) = 0.23464504747074527 " "
absolute error = 3.869127240818670500000000000000E-14 " "
relative error = 1.64892772403407400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49258889075193973 " "
Order of pole (three term test) = 22.414231796639005 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2600000000000584 " "
y[1] (analytic) = 0.22824733797991126 " "
y[1] (numeric) = 0.22824733797987248 " "
absolute error = 3.87745391350335900000000000000E-14 " "
relative error = 1.698794802086421600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49077512654576894 " "
Order of pole (three term test) = 22.404397828664905 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2500000000000586 " "
y[1] (analytic) = 0.22192680311211554 " "
y[1] (numeric) = 0.22192680311207663 " "
absolute error = 3.891331701311173700000000000000E-14 " "
relative error = 1.753430251210037800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4887650588325609 " "
Order of pole (three term test) = 22.394602100284665 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.240000000000059 " "
y[1] (analytic) = 0.21568407491561647 " "
y[1] (numeric) = 0.2156840749155774 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.811902454184203300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48655949161260037 " "
Order of pole (three term test) = 22.384848529659024 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.230000000000059 " "
y[1] (analytic) = 0.20951977765803143 " "
y[1] (numeric) = 0.20951977765799218 " "
absolute error = 3.924638392049928400000000000000E-14 " "
relative error = 1.873158914121960700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4841593070833685 " "
Order of pole (three term test) = 22.375141018086197 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2200000000000593 " "
y[1] (analytic) = 0.2034345277639492 " "
y[1] (numeric) = 0.20343452776390983 " "
absolute error = 3.93851617985774300000000000000E-14 " "
relative error = 1.9360116609249900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48156546528667427 " "
Order of pole (three term test) = 22.365483448441356 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2100000000000595 " "
y[1] (analytic) = 0.19742893375328818 " "
y[1] (numeric) = 0.19742893375324874 " "
absolute error = 3.944067294980868600000000000000E-14 " "
relative error = 1.997714934686051200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4787790037246529 " "
Order of pole (three term test) = 22.355879683623613 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2000000000000597 " "
y[1] (analytic) = 0.191503596180445 " "
y[1] (numeric) = 0.19150359618040533 " "
absolute error = 3.96627175547337200000000000000E-14 " "
relative error = 2.071121292018003000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47580103694477627 " "
Order of pole (three term test) = 22.346333565010845 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.19000000000006 " "
y[1] (analytic) = 0.18565910757423887 " "
y[1] (numeric) = 0.18565910757419912 " "
absolute error = 3.974598428158060400000000000000E-14 " "
relative error = 2.140804445356256400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4726327560940512 " "
Order of pole (three term test) = 22.33684891092321 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.18000000000006 " "
y[1] (analytic) = 0.17989605237866013 " "
y[1] (numeric) = 0.17989605237862033 " "
absolute error = 3.98014954328118600000000000000E-14 " "
relative error = 2.212471863975890600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4692754284425745 " "
Order of pole (three term test) = 22.327429515095893 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1700000000000603 " "
y[1] (analytic) = 0.17421500689442593 " "
y[1] (numeric) = 0.174215006894386 " "
absolute error = 3.994027331089000700000000000000E-14 " "
relative error = 2.292585123570540500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4657303968766432 " "
Order of pole (three term test) = 22.318079145161622 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1600000000000605 " "
y[1] (analytic) = 0.16861653922135045 " "
y[1] (numeric) = 0.16861653922131034 " "
absolute error = 4.01068067645837800000000000000E-14 " "
relative error = 2.378580829009530600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46199907936161705 " "
Order of pole (three term test) = 22.308801541143715 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1500000000000608 " "
y[1] (analytic) = 0.16310120920153548 " "
y[1] (numeric) = 0.16310120920149532 " "
absolute error = 4.01623179158150400000000000000E-14 " "
relative error = 2.462416931942460200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4580829683747518 " "
Order of pole (three term test) = 22.29960041396007 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.140000000000061 " "
y[1] (analytic) = 0.1576695683633872 " "
y[1] (numeric) = 0.1576695683633468 " "
absolute error = 4.03843625207400700000000000000E-14 " "
relative error = 2.56132891971040700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4539836303082283 " "
Order of pole (three term test) = 22.290479443938878 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.130000000000061 " "
y[1] (analytic) = 0.1523221598664627 " "
y[1] (numeric) = 0.15232215986642228 " "
absolute error = 4.0412118096355700000000000000E-14 " "
relative error = 2.653068872696137000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4497027048426157 " "
Order of pole (three term test) = 22.28144227934654 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1200000000000614 " "
y[1] (analytic) = 0.1470595184471558 " "
y[1] (numeric) = 0.14705951844711523 " "
absolute error = 4.05786515500494700000000000000E-14 " "
relative error = 2.75933526632830330000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4452419042910222 " "
Order of pole (three term test) = 22.272492534928404 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1100000000000616 " "
y[1] (analytic) = 0.14188217036522277 " "
y[1] (numeric) = 0.1418821703651821 " "
absolute error = 4.06619182768963600000000000000E-14 " "
relative error = 2.86589345033469700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4406030129141919 " "
Order of pole (three term test) = 22.2636337904629 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.100000000000062 " "
y[1] (analytic) = 0.1367906333511575 " "
y[1] (numeric) = 0.13679063335111666 " "
absolute error = 4.08284517305901300000000000000E-14 " "
relative error = 2.98474030935866400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4357878862068242 " "
Order of pole (three term test) = 22.254869589329704 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.090000000000062 " "
y[1] (analytic) = 0.13178541655441822 " "
y[1] (numeric) = 0.13178541655437734 " "
absolute error = 4.08839628818213900000000000000E-14 " "
relative error = 3.10231313530349160000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4307984501554017 " "
Order of pole (three term test) = 22.24620343709241 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0800000000000622 " "
y[1] (analytic) = 0.12686702049251386 " "
y[1] (numeric) = 0.12686702049247284 " "
absolute error = 4.102274075989953400000000000000E-14 " "
relative error = 3.233522833644555400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4256367004678199 " "
Order of pole (three term test) = 22.237638800096377 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0700000000000625 " "
y[1] (analytic) = 0.12203593700095183 " "
y[1] (numeric) = 0.1220359370009107 " "
absolute error = 4.11337630623620500000000000000E-14 " "
relative error = 3.370627052426468700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42030470177513124 " "
Order of pole (three term test) = 22.229179104082203 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0600000000000627 " "
y[1] (analytic) = 0.11729264918405535 " "
y[1] (numeric) = 0.11729264918401419 " "
absolute error = 4.11615186379776800000000000000E-14 " "
relative error = 3.50930078946269900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4148045868057203 " "
Order of pole (three term test) = 22.220827732815497 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.050000000000063 " "
y[1] (analytic) = 0.11263763136665361 " "
y[1] (numeric) = 0.11263763136661226 " "
absolute error = 4.13558076672870800000000000000E-14 " "
relative error = 3.671580018641130700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4091385555322415 " "
Order of pole (three term test) = 22.212588026733414 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.040000000000063 " "
y[1] (analytic) = 0.10807134904664895 " "
y[1] (numeric) = 0.10807134904660748 " "
absolute error = 4.146682996974959700000000000000E-14 " "
relative error = 3.83698642938661400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4033088742916576 " "
Order of pole (three term test) = 22.204463281608536 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0300000000000633 " "
y[1] (analytic) = 0.10359425884846818 " "
y[1] (numeric) = 0.10359425884842664 " "
absolute error = 4.15362189087886700000000000000E-14 " "
relative error = 4.00950973253696440000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.397317874878737 " "
Order of pole (three term test) = 22.196456747230567 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0200000000000635 " "
y[1] (analytic) = 9.92068084774002700E-2 " "
y[1] (numeric) = 9.92068084773586500E-2 " "
absolute error = 4.16056078478277400000000000000E-14 " "
relative error = 4.193825855944723300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39116795361336604 " "
Order of pole (three term test) = 22.18857162610653 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0100000000000637 " "
y[1] (analytic) = 9.4909436674826100E-2 " "
y[1] (numeric) = 9.49094366747844500E-2 " "
absolute error = 4.164724121125118500000000000000E-14 " "
relative error = 4.38810329829907800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38486157038205265 " "
Order of pole (three term test) = 22.180811072179722 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.000000000000064 " "
y[1] (analytic) = 9.07025731743449400E-2 " "
y[1] (numeric) = 9.07025731743031400E-2 " "
absolute error = 4.179989687713714400000000000000E-14 " "
relative error = 4.608457667103998400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.378401247654006 " "
Order of pole (three term test) = 22.173178189568244 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.990000000000064 " "
y[1] (analytic) = 8.65866386588007900E-2 " "
y[1] (numeric) = 8.65866386587590500E-2 " "
absolute error = 4.17305079380980700000000000000E-14 " "
relative error = 4.819508943237690300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37178956947218006 " "
Order of pole (three term test) = 22.165676031323372 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.980000000000064 " "
y[1] (analytic) = 8.2562044718215600E-2 " "
y[1] (numeric) = 8.25620447181738300E-2 " "
absolute error = 4.177214130152151500000000000000E-14 " "
relative error = 5.059484832781201000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3650291804196937 " "
Order of pole (three term test) = 22.15830759820838 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.970000000000064 " "
y[1] (analytic) = 7.86291938086294300E-2 " "
y[1] (numeric) = 7.8629193808587690E-2 " "
absolute error = 4.17305079380980700000000000000E-14 " "
relative error = 5.307253695066909000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3581227845620298 " "
Order of pole (three term test) = 22.15107583749826 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.960000000000064 " "
y[1] (analytic) = 7.47884792118560500E-2 " "
y[1] (numeric) = 7.47884792118142500E-2 " "
absolute error = 4.179989687713714400000000000000E-14 " "
relative error = 5.58908234498645900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3510731443654481 " "
Order of pole (three term test) = 22.143983641800887 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.950000000000064 " "
y[1] (analytic) = 7.10402849961543300E-2 " "
y[1] (numeric) = 7.10402849961125900E-2 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 5.87615684933776100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3438830795920334 " "
Order of pole (three term test) = 22.13703384789997 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.940000000000064 " "
y[1] (analytic) = 6.73849859778226100E-2 " "
y[1] (numeric) = 6.73849859777808100E-2 " "
absolute error = 4.179989687713714400000000000000E-14 " "
relative error = 6.20314692814421600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3365554661718282 " "
Order of pole (three term test) = 22.130229235620416 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9300000000000639 " "
y[1] (analytic) = 6.38229476837164400E-2 " "
y[1] (numeric) = 6.38229476836746500E-2 " "
absolute error = 4.17860190893293300000000000000E-14 " "
relative error = 6.54717787345169300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32909323505250077 " "
Order of pole (three term test) = 22.123572526716394 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9200000000000639 " "
y[1] (analytic) = 6.035452631469695000E-2 " "
y[1] (numeric) = 6.03545263146551900E-2 " "
absolute error = 4.177214130152151500000000000000E-14 " "
relative error = 6.92112818245241700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32149937102700354 " "
Order of pole (three term test) = 22.11706638378272 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9100000000000639 " "
y[1] (analytic) = 5.69800687100107100E-2 " "
y[1] (numeric) = 5.69800687099689600E-2 " "
absolute error = 4.17513246198097930000000000000E-14 " "
relative error = 7.32735596236207900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31377691153969633 " "
Order of pole (three term test) = 22.110713409189824 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9000000000000639 " "
y[1] (analytic) = 5.36999123126061800E-2 " "
y[1] (numeric) = 5.36999123125644100E-2 " "
absolute error = 4.177214130152151500000000000000E-14 " "
relative error = 7.77880996496811900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.30592894547141014 " "
Order of pole (three term test) = 22.104516144042826 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8900000000000639 " "
y[1] (analytic) = 5.05143851353895300E-2 " "
y[1] (numeric) = 5.05143851353478200E-2 " "
absolute error = 4.17096912563863500000000000000E-14 " "
relative error = 8.25699276445616700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.29795861190393325 " "
Order of pole (three term test) = 22.098477067165174 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8800000000000638 " "
y[1] (analytic) = 4.742380572842408400E-2 " "
y[1] (numeric) = 4.74238057283823200E-2 " "
absolute error = 4.17652024076176100000000000000E-14 " "
relative error = 8.8068010920062200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2898690988644235 " "
Order of pole (three term test) = 22.09259859410708 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8700000000000638 " "
y[1] (analytic) = 4.442848314707481500E-2 " "
y[1] (numeric) = 4.442848314703312700E-2 " "
absolute error = 4.16888745746746300000000000000E-14 " "
relative error = 9.38336662016322600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28166364205023775 " "
Order of pole (three term test) = 22.0868830761794 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8600000000000638 " "
y[1] (analytic) = 4.15287169211040500E-2 " "
y[1] (numeric) = 4.15287169210622800E-2 " "
absolute error = 4.17652024076176100000000000000E-14 " "
relative error = 1.00569450500873490000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.27334552353469704 " "
Order of pole (three term test) = 22.08133279951309 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8500000000000638 " "
y[1] (analytic) = 3.87247970247176500E-2 " "
y[1] (numeric) = 3.87247970246759170E-2 " "
absolute error = 4.17305079380980700000000000000E-14 " "
relative error = 1.07761721543593650000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2649180704543005 " "
Order of pole (three term test) = 22.075949984144824 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8400000000000638 " "
y[1] (analytic) = 3.601700384756878500E-2 " "
y[1] (numeric) = 3.60170038475270900E-2 " "
absolute error = 4.169581346857853500000000000000E-14 " "
relative error = 1.15767023945255450000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25638465367791663 " "
Order of pole (three term test) = 22.07073678312898 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8300000000000638 " "
y[1] (analytic) = 3.34056081667187800E-2 " "
y[1] (numeric) = 3.340560816667701400E-2 " "
absolute error = 4.17652024076176100000000000000E-14 " "
relative error = 1.250245234248640000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24774868645847775 " "
Order of pole (three term test) = 22.065695281676447 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8200000000000638 " "
y[1] (analytic) = 3.08908711195593500E-2 " "
y[1] (numeric) = 3.08908711195176270E-2 " "
absolute error = 4.17200995972422100000000000000E-14 " "
relative error = 1.3505640367268910000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23901362306772744 " "
Order of pole (three term test) = 22.060827496320595 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8100000000000638 " "
y[1] (analytic) = 2.847304417769980000E-2 " "
y[1] (numeric) = 2.847304417765803600E-2 " "
absolute error = 4.17652024076176100000000000000E-14 " "
relative error = 1.46683305609901280000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23018295741455566 " "
Order of pole (three term test) = 22.056135374110653 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8000000000000638 " "
y[1] (analytic) = 2.615236912181928600E-2 " "
y[1] (numeric) = 2.615236912177757400E-2 " "
absolute error = 4.17096912563863500000000000000E-14 " "
relative error = 1.5948723827696118000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22126022164748355 " "
Order of pole (three term test) = 22.051620791832956 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7900000000000638 " "
y[1] (analytic) = 2.39290780174896700E-2 " "
y[1] (numeric) = 2.392907801744794700E-2 " "
absolute error = 4.172356904419416400000000000000E-14 " "
relative error = 1.74363462786566920000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.212248984741849 " "
Order of pole (three term test) = 22.047285555260217 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7800000000000638 " "
y[1] (analytic) = 2.180339319196855600E-2 " "
y[1] (numeric) = 2.180339319192684300E-2 " "
absolute error = 4.171316070333830300000000000000E-14 " "
relative error = 1.91314995496681050000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20315285107226655 " "
Order of pole (three term test) = 22.043131398429253 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7700000000000637 " "
y[1] (analytic) = 1.97755272119671800E-2 " "
y[1] (numeric) = 1.977552721192542300E-2 " "
absolute error = 4.1758263513713700000000000000E-14 " "
relative error = 2.1116131603532490000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.193975458970924 " "
Order of pole (three term test) = 22.03915998294742 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7600000000000637 " "
y[1] (analytic) = 1.78456828623935200E-2 " "
y[1] (numeric) = 1.784568286235180300E-2 " "
absolute error = 4.17166301502902570000000000000E-14 " "
relative error = 2.3376314861114310000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18472047927229782 " "
Order of pole (three term test) = 22.035372897327957 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7500000000000637 " "
y[1] (analytic) = 1.601405312607451200E-2 " "
y[1] (numeric) = 1.60140531260327400E-2 " "
absolute error = 4.177214130152151500000000000000E-14 " "
relative error = 2.6084677609509730000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17539161384486962 " "
Order of pole (three term test) = 22.031771656354625 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7400000000000637 " "
y[1] (analytic) = 1.42808211644572800E-2 " "
y[1] (numeric) = 1.428082116441551400E-2 " "
absolute error = 4.17652024076176100000000000000E-14 " "
relative error = 2.9245658864186770000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16599259411042713 " "
Order of pole (three term test) = 22.02835770047578 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7300000000000637 " "
y[1] (analytic) = 1.264616029929366300E-2 " "
y[1] (numeric) = 1.264616029925193200E-2 " "
absolute error = 4.17305079380980700000000000000E-14 " "
relative error = 3.2998559998032670000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15652717955154563 " "
Order of pole (three term test) = 22.025132395228276 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7200000000000637 " "
y[1] (analytic) = 1.111023399530797200E-2 " "
y[1] (numeric) = 1.111023399526629700E-2 " "
absolute error = 4.167499678686681400000000000000E-14 " "
relative error = 3.7510458199590424000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1469991562078446 " "
Order of pole (three term test) = 22.022097030691185 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7100000000000637 " "
y[1] (analytic) = 9.673195843850735000E-3 " "
y[1] (numeric) = 9.673195843809074000E-3 " "
absolute error = 4.166111899905900000000000000E-14 " "
relative error = 4.3068619380370593000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13741233516162327 " "
Order of pole (three term test) = 22.019252820969868 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7000000000000637 " "
y[1] (analytic) = 8.335189547539534000E-3 " "
y[1] (numeric) = 8.335189547497879000E-3 " "
absolute error = 4.16559148286310700000000000000E-14 " "
relative error = 4.9975965862620940000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1277705510134772 " "
Order of pole (three term test) = 22.016600903710284 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6900000000000637 " "
y[1] (analytic) = 7.0963489058890600000E-3 " "
y[1] (numeric) = 7.096348905847342000E-3 " "
absolute error = 4.171836487376623400000000000000E-14 " "
relative error = 5.8788491697674750000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11807766034851046 " "
Order of pole (three term test) = 22.014142339643985 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6800000000000637 " "
y[1] (analytic) = 5.956797801930924000E-3 " "
y[1] (numeric) = 5.956797801889265000E-3 " "
absolute error = 4.165851691384503400000000000000E-14 " "
relative error = 6.9934414930688480000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10833754019375207 " "
Order of pole (three term test) = 22.011878112163814 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6700000000000637 " "
y[1] (analytic) = 4.916650189826121700E-3 " "
y[1] (numeric) = 4.916650189784422000E-3 " "
absolute error = 4.16992829155304900000000000000E-14 " "
relative error = 8.4812385070261010000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.85540864673973700E-2 " "
Order of pole (three term test) = 22.009809126930563 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6600000000000636 " "
y[1] (analytic) = 3.976010083468928000E-3 " "
y[1] (numeric) = 3.976010083427236000E-3 " "
absolute error = 4.16923440216265800000000000000E-14 " "
relative error = 1.0485975424200003000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.87312124204927400E-2 " "
Order of pole (three term test) = 22.00793621151075 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6500000000000636 " "
y[1] (analytic) = 3.134971546086218000E-3 " "
y[1] (numeric) = 3.1349715460444770000E-3 " "
absolute error = 4.17409162789539300000000000000E-14 " "
relative error = 1.3314607697497094000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.88728470716870100E-2 " "
Order of pole (three term test) = 22.00626011504557 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6400000000000636 " "
y[1] (analytic) = 2.393618680830767000E-3 " "
y[1] (numeric) = 2.3936186807890225000E-3 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 1.7439864611775768000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.89829336356765900E-2 " "
Order of pole (three term test) = 22.004781507951275 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6300000000000636 " "
y[1] (analytic) = 1.7520256223713115000E-3 " "
y[1] (numeric) = 1.7520256223296043000E-3 " "
absolute error = 4.170708917117238500000000000000E-14 " "
relative error = 2.3805068053013487000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.90654279459719400E-2 " "
Order of pole (three term test) = 22.00350098165096 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6200000000000636 " "
y[1] (analytic) = 1.2102565294791479000E-3 " "
y[1] (numeric) = 1.2102565294374104000E-3 " "
absolute error = 4.17374468320019800000000000000E-14 " "
relative error = 3.4486446315612374000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.91242968726175500E-2 " "
Order of pole (three term test) = 22.002419048338087 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6100000000000636 " "
y[1] (analytic) = 7.6836557861192920000E-4 " "
y[1] (numeric) = 7.6836557857025660000E-4 " "
absolute error = 4.167261154208734600000000000000E-14 " "
relative error = 5.423539614745615000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.91635167354959570E-2 " "
Order of pole (three term test) = 22.001536140771563 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6000000000000636 " "
y[1] (analytic) = 4.2639695849666650000E-4 " "
y[1] (numeric) = 4.2639695845498870000E-4 " "
absolute error = 4.16777615024066500000000000000E-14 " "
relative error = 9.774404031714613000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.918707171385345000E-2 " "
Order of pole (three term test) = 22.000852612102626 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5900000000000636 " "
y[1] (analytic) = 1.84384865710374160000E-4 " "
y[1] (numeric) = 1.84384865668645340000E-4 " "
absolute error = 4.17288274247307200000000000000E-14 " "
relative error = 2.263137338520886000000000E-8 "%"
Correct digits = 11
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.919895225268115600E-2 " "
Order of pole (three term test) = 22.00036873573364 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5800000000000636 " "
y[1] (analytic) = 4.23535012605835700000E-5 " "
y[1] (numeric) = 4.23535012188289900000E-5 " "
absolute error = 4.17545772263272500000000000000E-14 " "
relative error = 9.85858925084578400000000E-8 "%"
Correct digits = 11
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.203153466590404000E-3 " "
Order of pole (three term test) = 22.000084705208703 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5700000000000636 " "
y[1] (analytic) = 3.17068165278655560000000E-7 " "
y[1] (numeric) = 3.17068123625586800000000E-7 " "
absolute error = 4.165306879792829400000000000000E-14 " "
relative error = 1.31369444678627600000E-5 "%"
Correct digits = 8
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.9632645817990950000E-4 " "
Order of pole (three term test) = 22.00000063413623 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5600000000000636 " "
y[1] (analytic) = 5.82797700330317500000E-5 " "
y[1] (numeric) = 5.8279769991314400000E-5 " "
absolute error = 4.171735521049310700000000000000E-14 " "
relative error = 7.15811939320429400000000E-8 "%"
Correct digits = 11
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.07954878629844900E-2 " "
Order of pole (three term test) = 22.00011655614353 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5500000000000635 " "
y[1] (analytic) = 2.16235810641673960000E-4 " "
y[1] (numeric) = 2.16235810600010760000E-4 " "
absolute error = 4.166320608824103400000000000000E-14 " "
relative error = 1.92674867149000800000000E-8 "%"
Correct digits = 11
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.07903312165817900E-2 " "
Order of pole (three term test) = 22.000432424863355 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5400000000000635 " "
y[1] (analytic) = 4.7416939451894180000E-4 " "
y[1] (numeric) = 4.7416939447728340000E-4 " "
absolute error = 4.165840849362778500000000000000E-14 " "
relative error = 8.785554060462173000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.077685871489317400E-2 " "
Order of pole (three term test) = 22.00094811395242 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5300000000000635 " "
y[1] (analytic) = 8.3205472852143640000E-4 " "
y[1] (numeric) = 8.3205472847968850000E-4 " "
absolute error = 4.17478551728578400000000000000E-14 " "
relative error = 5.017441009805197000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.07510758800712750E-2 " "
Order of pole (three term test) = 22.001663417141962 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5200000000000635 " "
y[1] (analytic) = 1.2898560244137824000E-3 " "
y[1] (numeric) = 1.2898560243720625000E-3 " "
absolute error = 4.171988275680771400000000000000E-14 " "
relative error = 3.234460433347100500000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.07089931582377700E-2 " "
Order of pole (three term test) = 22.002578048320263 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5100000000000635 " "
y[1] (analytic) = 1.8475275024479876000E-3 " "
y[1] (numeric) = 1.8475275024063162000E-3 " "
absolute error = 4.16713104994803630000000000000E-14 " "
relative error = 2.2555177362321033000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.06466275152518500E-2 " "
Order of pole (three term test) = 22.003691641647027 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5000000000000635 " "
y[1] (analytic) = 2.5050133959411136000E-3 " "
y[1] (numeric) = 2.505013395899371000E-3 " "
absolute error = 4.17426510024299100000000000000E-14 " "
relative error = 1.6663643823248908000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.05600040298707400E-2 " "
Order of pole (three term test) = 22.005003751699768 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4900000000000635 " "
y[1] (analytic) = 3.262247956851483000E-3 " "
y[1] (numeric) = 3.26224795680978000E-3 " "
absolute error = 4.17027523624824400000000000000E-14 " "
relative error = 1.2783440411050580000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.04451574836651900E-2 " "
Order of pole (three term test) = 22.006513853651967 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4800000000000635 " "
y[1] (analytic) = 4.119155462354196000E-3 " "
y[1] (numeric) = 4.119155462312479300E-3 " "
absolute error = 4.17166301502902570000000000000E-14 " "
relative error = 1.0127471645959242000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.02981339470540200E-2 " "
Order of pole (three term test) = 22.00822134348298 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4700000000000635 " "
y[1] (analytic) = 5.075650222412742000E-3 " "
y[1] (numeric) = 5.075650222371006000E-3 " "
absolute error = 4.173571210852600000000000000E-14 " "
relative error = 8.2227321189769990000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1001149923608231 " "
Order of pole (three term test) = 22.010125538219647 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4600000000000635 " "
y[1] (analytic) = 6.131636588348144000E-3 " "
y[1] (numeric) = 6.131636588306430000E-3 " "
absolute error = 4.171316070333830300000000000000E-14 " "
relative error = 6.8029407976665150000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10989180611249656 " "
Order of pole (three term test) = 22.01222567620944 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4500000000000635 " "
y[1] (analytic) = 7.2870089624038630000E-3 " "
y[1] (numeric) = 7.287008962362145000E-3 " "
absolute error = 4.171749751202824500000000000000E-14 " "
relative error = 5.7249137097625220000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1196246646069295 " "
Order of pole (three term test) = 22.01452091742519 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4400000000000635 " "
y[1] (analytic) = 8.54165180830524000E-3 " "
y[1] (numeric) = 8.54165180826355100E-3 " "
absolute error = 4.16888745746746300000000000000E-14 " "
relative error = 4.8806572206724236000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.129309674830494 " "
Order of pole (three term test) = 22.017010343800994 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4300000000000634 " "
y[1] (analytic) = 9.895439662813255000E-3 " "
y[1] (numeric) = 9.89543966277159000E-3 " "
absolute error = 4.16645884460109530000000000000E-14 " "
relative error = 4.21048380524062400000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13894296290823244 " "
Order of pole (three term test) = 22.01969295959951 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4200000000000634 " "
y[1] (analytic) = 1.134823714827071200E-2 " "
y[1] (numeric) = 1.134823714822896500E-2 " "
absolute error = 4.17478551728578400000000000000E-14 " "
relative error = 3.6787965062238360000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14852067565335555 " "
Order of pole (three term test) = 22.022567691810163 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4100000000000634 " "
y[1] (analytic) = 1.289989898613952400E-2 " "
y[1] (numeric) = 1.289989898609778800E-2 " "
absolute error = 4.173571210852600000000000000E-14 " "
relative error = 3.23535185456642060000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1580389821084667 " "
Order of pole (three term test) = 22.025633390578427 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4000000000000634 " "
y[1] (analytic) = 1.455027001152908700E-2 " "
y[1] (numeric) = 1.455027001148732300E-2 " "
absolute error = 4.17634676841416300000000000000E-14 " "
relative error = 2.87028815623695140000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16749407507789288 " "
Order of pole (three term test) = 22.028888829665654 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3900000000000634 " "
y[1] (analytic) = 1.629918518871209500E-2 " "
y[1] (numeric) = 1.629918518867033700E-2 " "
absolute error = 4.1758263513713700000000000000E-14 " "
relative error = 2.56198472685819500000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17688217265051218 " "
Order of pole (three term test) = 22.03233270693961 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3800000000000634 " "
y[1] (analytic) = 1.814646962762822600E-2 " "
y[1] (numeric) = 1.81464696275865300E-2 " "
absolute error = 4.169581346857853500000000000000E-14 " "
relative error = 2.29773693308896520000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18619951971246884 " "
Order of pole (three term test) = 22.035963644895308 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3700000000000634 " "
y[1] (analytic) = 2.00919386013731500E-2 " "
y[1] (numeric) = 2.009193860133141000E-2 " "
absolute error = 4.17374468320019800000000000000E-14 " "
relative error = 2.07732303288790170000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19544238944916792 " "
Order of pole (three term test) = 22.03978019120599 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3600000000000634 " "
y[1] (analytic) = 2.213539756467053400E-2 " "
y[1] (numeric) = 2.213539756462882800E-2 " "
absolute error = 4.170622180943439600000000000000E-14 " "
relative error = 1.88414152886054840000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20460708483595091 " "
Order of pole (three term test) = 22.043780819303993 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3500000000000634 " "
y[1] (analytic) = 2.427664217332703400E-2 " "
y[1] (numeric) = 2.427664217328532300E-2 " "
absolute error = 4.17096912563863500000000000000E-14 " "
relative error = 1.71809968440417850000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21368994011685766 " "
Order of pole (three term test) = 22.047963928991443 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3400000000000634 " "
y[1] (analytic) = 2.651545830466617300E-2 " "
y[1] (numeric) = 2.6515458304624400E-2 " "
absolute error = 4.177214130152151500000000000000E-14 " "
relative error = 1.57538824415380670000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22268732227087887 " "
Order of pole (three term test) = 22.052327847080225 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3300000000000634 " "
y[1] (analytic) = 2.88516220789403200E-2 " "
y[1] (numeric) = 2.885162207889860000E-2 " "
absolute error = 4.172356904419416400000000000000E-14 " "
relative error = 1.44614292153263270000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23159563246511633 " "
Order of pole (three term test) = 22.056870828061292 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3200000000000633 " "
y[1] (analytic) = 3.12848998817190100E-2 " "
y[1] (numeric) = 3.12848998816772750E-2 " "
absolute error = 4.17305079380980700000000000000E-14 " "
relative error = 1.333886574541440200000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24041130749426873 " "
Order of pole (three term test) = 22.061591054802832 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3100000000000633 " "
y[1] (analytic) = 3.38150483872496900E-2 " "
y[1] (numeric) = 3.3815048387207897E-2 " "
absolute error = 4.179295798323323700000000000000E-14 " "
relative error = 1.23592778885366610000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24913082120586455 " "
Order of pole (three term test) = 22.06648663927707 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3000000000000633 " "
y[1] (analytic) = 3.644181458279005500E-2 " "
y[1] (numeric) = 3.64418145827483550E-2 " "
absolute error = 4.17027523624824400000000000000E-14 " "
relative error = 1.14436541758205720000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25775068591067796 " "
Order of pole (three term test) = 22.071555623315493 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2900000000000633 " "
y[1] (analytic) = 3.91649357939097830E-2 " "
y[1] (numeric) = 3.91649357938680500E-2 " "
absolute error = 4.17305079380980700000000000000E-14 " "
relative error = 1.06550686455069430000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.266267453777757 " "
Order of pole (three term test) = 22.076795979392077 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2800000000000633 " "
y[1] (analytic) = 4.198413971075687400E-2 " "
y[1] (numeric) = 4.19841397107151400E-2 " "
absolute error = 4.17305079380980700000000000000E-14 " "
relative error = 9.93958866981527700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2746777182135104 " "
Order of pole (three term test) = 22.08220561143426 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2700000000000633 " "
y[1] (analytic) = 4.48991444152889700E-2 " "
y[1] (numeric) = 4.48991444152472700E-2 " "
absolute error = 4.17027523624824400000000000000E-14 " "
relative error = 9.28809510861901900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28297811522429933 " "
Order of pole (three term test) = 22.087782355661357 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2600000000000633 " "
y[1] (analytic) = 4.79096584094649300E-2 " "
y[1] (numeric) = 4.790965840942313400E-2 " "
absolute error = 4.179295798323323700000000000000E-14 " "
relative error = 8.72328448390204200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2911653247619895 " "
Order of pole (three term test) = 22.09352398145002 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2500000000000633 " "
y[1] (analytic) = 5.101538064439382000E-2 " "
y[1] (numeric) = 5.101538064435208000E-2 " "
absolute error = 4.17305079380980700000000000000E-14 " "
relative error = 8.17998560649452300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2992360720519277 " "
Order of pole (three term test) = 22.099428192226494 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2400000000000633 " "
y[1] (analytic) = 5.42160005504405100E-2 " "
y[1] (numeric) = 5.42160005503987100E-2 " "
absolute error = 4.179989687713714400000000000000E-14 " "
relative error = 7.7098820371761100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3071871289028058 " "
Order of pole (three term test) = 22.105492626385193 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2300000000000633 " "
y[1] (analytic) = 5.75111980682813100E-2 " "
y[1] (numeric) = 5.751119806823959000E-2 " "
absolute error = 4.17166301502902570000000000000E-14 " "
relative error = 7.25365347123552400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31501531499789703 " "
Order of pole (three term test) = 22.11171485823332 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2200000000000633 " "
y[1] (analytic) = 6.09006436809106400E-2 " "
y[1] (numeric) = 6.09006436808689300E-2 " "
absolute error = 4.17096912563863500000000000000E-14 " "
relative error = 6.84880959139357900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32271749916713693 " "
Order of pole (three term test) = 22.118092398961068 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2100000000000632 " "
y[1] (analytic) = 6.4383998446591710E-2 " "
y[1] (numeric) = 6.43839984465499800E-2 " "
absolute error = 4.17166301502902570000000000000E-14 " "
relative error = 6.47934753305129700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3302906006395528 " "
Order of pole (three term test) = 22.124622697637214 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2000000000000632 " "
y[1] (analytic) = 6.79609140327507300E-2 " "
y[1] (numeric) = 6.79609140327089900E-2 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 6.14241087248900700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33773159027552885 " "
Order of pole (three term test) = 22.13130314222934 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1900000000000632 " "
y[1] (analytic) = 7.16310327508098400E-2 " "
y[1] (numeric) = 7.16310327507680500E-2 " "
absolute error = 4.17860190893293300000000000000E-14 " "
relative error = 5.8335078365677910000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.34503749177842236 " "
Order of pole (three term test) = 22.13813106064867 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1800000000000632 " "
y[1] (analytic) = 7.53939875919555900E-2 " "
y[1] (numeric) = 7.53939875919138200E-2 " "
absolute error = 4.177214130152151500000000000000E-14 " "
relative error = 5.540513592091596000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35220538288504327 " "
Order of pole (three term test) = 22.145103721818895 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1700000000000632 " "
y[1] (analytic) = 7.9249402263839700E-2 " "
y[1] (numeric) = 7.92494022637979400E-2 " "
absolute error = 4.1758263513713700000000000000E-14 " "
relative error = 5.26922125856429000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3592323965345192 " "
Order of pole (three term test) = 22.152218336768502 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1600000000000632 " "
y[1] (analytic) = 8.31968912282078400E-2 " "
y[1] (numeric) = 8.31968912281660700E-2 " "
absolute error = 4.177214130152151500000000000000E-14 " "
relative error = 5.0208776656018500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3661157220150825 " "
Order of pole (three term test) = 22.159472059746374 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1500000000000632 " "
y[1] (analytic) = 8.72360597394531400E-2 " "
y[1] (numeric) = 8.72360597394113300E-2 " "
absolute error = 4.18137746649449600000000000000E-14 " "
relative error = 4.7931755273942495000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.372852606088318 " "
Order of pole (three term test) = 22.16686198936004 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1400000000000632 " "
y[1] (analytic) = 9.1366503884090400E-2 " "
y[1] (numeric) = 9.13665038840485700E-2 " "
absolute error = 4.18276524527527700000000000000E-14 " "
relative error = 4.578007330324937500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3794403540904198 " "
Order of pole (three term test) = 22.174385169736176 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1300000000000632 " "
y[1] (analytic) = 9.55878106211471800E-2 " "
y[1] (numeric) = 9.55878106211053400E-2 " "
absolute error = 4.18415302405605870000000000000E-14 " "
relative error = 4.37728722612921300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3858763310100227 " "
Order of pole (three term test) = 22.182038591702952 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1200000000000632 " "
y[1] (analytic) = 9.98995578234674900E-2 " "
y[1] (numeric) = 9.98995578234256900E-2 " "
absolute error = 4.179989687713714400000000000000E-14 " "
relative error = 4.18419238161211300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3921579625421708 " "
Order of pole (three term test) = 22.189819193993607 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1100000000000632 " "
y[1] (analytic) = 0.10430131431992429 " "
y[1] (numeric) = 0.10430131431988249 " "
absolute error = 4.179989687713714400000000000000E-14 " "
relative error = 4.007609793767696300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39828273611800513 " "
Order of pole (three term test) = 22.19772386447098 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1000000000000631 " "
y[1] (analytic) = 0.10879263993853605 " "
y[1] (numeric) = 0.10879263993849421 " "
absolute error = 4.18415302405605870000000000000E-14 " "
relative error = 3.84598905442496400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4042482019097579 " "
Order of pole (three term test) = 22.205749441372273 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0900000000000631 " "
y[1] (analytic) = 0.11337308555048353 " "
y[1] (numeric) = 0.11337308555044176 " "
absolute error = 4.177214130152151500000000000000E-14 " "
relative error = 3.68448482271578800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41005197381065106 " "
Order of pole (three term test) = 22.213892714573728 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0800000000000631 " "
y[1] (analytic) = 0.11804219311502273 " "
y[1] (numeric) = 0.11804219311498096 " "
absolute error = 4.177214130152151500000000000000E-14 " "
relative error = 3.538746629420709300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4156917303893065 " "
Order of pole (three term test) = 22.22215042687464 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0700000000000631 " "
y[1] (analytic) = 0.12279949572528803 " "
y[1] (numeric) = 0.12279949572524626 " "
absolute error = 4.177214130152151500000000000000E-14 " "
relative error = 3.40165413992977800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4211652158182888 " "
Order of pole (three term test) = 22.230519275300193 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0600000000000631 " "
y[1] (analytic) = 0.12764451765498286 " "
y[1] (numeric) = 0.12764451765494106 " "
absolute error = 4.179989687713714400000000000000E-14 " "
relative error = 3.27471149134037240000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42647024077640516 " "
Order of pole (three term test) = 22.238995912422588 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.050000000000063 " "
y[1] (analytic) = 0.13257677440595173 " "
y[1] (numeric) = 0.13257677440590987 " "
absolute error = 4.1855408028368400000000000000E-14 " "
relative error = 3.157069420033302700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4316046833244052 " "
Order of pole (three term test) = 22.24757694770001 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.040000000000063 " "
y[1] (analytic) = 0.1375957727566297 " "
y[1] (numeric) = 0.13759577275658783 " "
absolute error = 4.18831636039840300000000000000E-14 " "
relative error = 3.04392807750454600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4365664897537276 " "
Order of pole (three term test) = 22.256258948832762 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.030000000000063 " "
y[1] (analytic) = 0.1427010108113641 " "
y[1] (numeric) = 0.1427010108113223 " "
absolute error = 4.179989687713714400000000000000E-14 " "
relative error = 2.92919416894616500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4413536754079573 " "
Order of pole (three term test) = 22.26503844313614 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.020000000000063 " "
y[1] (analytic) = 0.14789197805060406 " "
y[1] (numeric) = 0.1478919780505622 " "
absolute error = 4.1855408028368400000000000000E-14 " "
relative error = 2.83013376249838100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44596432547666126 " "
Order of pole (three term test) = 22.27391191892949 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.010000000000063 " "
y[1] (analytic) = 0.15316815538195128 " "
y[1] (numeric) = 0.1531681553819094 " "
absolute error = 4.18831636039840300000000000000E-14 " "
relative error = 2.73445635612318500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4503965957612861 " "
Order of pole (three term test) = 22.282875826940792 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.000000000000063 " "
y[1] (analytic) = 0.1585290151920694 " "
y[1] (numeric) = 0.15852901519202756 " "
absolute error = 4.1855408028368400000000000000E-14 " "
relative error = 2.64023642471111930000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45464871341281465 " "
Order of pole (three term test) = 22.291926581726376 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.990000000000063 " "
y[1] (analytic) = 0.16397402139944484 " "
y[1] (numeric) = 0.163974021399403 " "
absolute error = 4.18276524527527700000000000000E-14 " "
relative error = 2.550870686452189000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4587189776408798 " "
Order of pole (three term test) = 22.301060563104983 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.980000000000063 " "
y[1] (analytic) = 0.16950262950799444 " "
y[1] (numeric) = 0.16950262950795253 " "
absolute error = 4.19109191795996600000000000000E-14 " "
relative error = 2.47258224260308400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4626057603940602 " "
Order of pole (three term test) = 22.310274117605864 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.970000000000063 " "
y[1] (analytic) = 0.1751142866615143 " "
y[1] (numeric) = 0.1751142866614724 " "
absolute error = 4.18831636039840300000000000000E-14 " "
relative error = 2.391761654772448200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4663075070110774 " "
Order of pole (three term test) = 22.319563559930057 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.960000000000063 " "
y[1] (analytic) = 0.18080843169896554 " "
y[1] (numeric) = 0.1808084316989237 " "
absolute error = 4.1855408028368400000000000000E-14 " "
relative error = 2.31490354930211300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4698227368426408 " "
Order of pole (three term test) = 22.32892517442449 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.950000000000063 " "
y[1] (analytic) = 0.18658449521058962 " "
y[1] (numeric) = 0.1865844952105477 " "
absolute error = 4.19109191795996600000000000000E-14 " "
relative error = 2.246216607242561300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47315004384368686 " "
Order of pole (three term test) = 22.33835521656819 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.940000000000063 " "
y[1] (analytic) = 0.1924418995948486 " "
y[1] (numeric) = 0.19244189959480665 " "
absolute error = 4.19386747552152900000000000000E-14 " "
relative error = 2.179290208811570400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4762880971357786 " "
Order of pole (three term test) = 22.34784991447002 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.930000000000063 " "
y[1] (analytic) = 0.19838005911618517 " "
y[1] (numeric) = 0.1983800591161433 " "
absolute error = 4.18831636039840300000000000000E-14 " "
relative error = 2.111258752042932400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47923564153943904 " "
Order of pole (three term test) = 22.35740547037743 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.920000000000063 " "
y[1] (analytic) = 0.20439837996359578 " "
y[1] (numeric) = 0.2043983799635539 " "
absolute error = 4.18831636039840300000000000000E-14 " "
relative error = 2.049094694950302800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48199149807620734 " "
Order of pole (three term test) = 22.36701806219545 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.910000000000063 " "
y[1] (analytic) = 0.2104962603100109 " "
y[1] (numeric) = 0.210496260309969 " "
absolute error = 4.18831636039840300000000000000E-14 " "
relative error = 1.9897343326812600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48455456444021267 " "
Order of pole (three term test) = 22.376683845015517 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.900000000000063 " "
y[1] (analytic) = 0.2166730903724775 " "
y[1] (numeric) = 0.21667309037243554 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 1.936854745491811400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4869238154390833 " "
Order of pole (three term test) = 22.386398952653394 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.890000000000063 " "
y[1] (analytic) = 0.22292825247313652 " "
y[1] (numeric) = 0.22292825247309456 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 1.882508379501516800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4890983034040092 " "
Order of pole (three term test) = 22.396159499195548 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.880000000000063 " "
y[1] (analytic) = 0.22926112110099062 " "
y[1] (numeric) = 0.22926112110094865 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 1.830507943487919300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4910771585687975 " "
Order of pole (three term test) = 22.405961580553498 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.870000000000063 " "
y[1] (analytic) = 0.23567106297445428 " "
y[1] (numeric) = 0.23567106297441237 " "
absolute error = 4.19109191795996600000000000000E-14 " "
relative error = 1.778365092881285200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49285958941776603 " "
Order of pole (three term test) = 22.415801276025398 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8600000000000629 " "
y[1] (analytic) = 0.24215743710468196 " "
y[1] (numeric) = 0.24215743710464 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 1.733022567161102700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49444488300234135 " "
Order of pole (three term test) = 22.425674649864256 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8500000000000629 " "
y[1] (analytic) = 0.24871959485966577 " "
y[1] (numeric) = 0.24871959485962378 " "
absolute error = 4.199418590644654600000000000000E-14 " "
relative error = 1.688414856502994000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4958324052262263 " "
Order of pole (three term test) = 22.435577752852176 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8400000000000629 " "
y[1] (analytic) = 0.25535688002909873 " "
y[1] (numeric) = 0.2553568800290567 " "
absolute error = 4.202194148206217500000000000000E-14 " "
relative error = 1.645616185366677600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4970216010990311 " "
Order of pole (three term test) = 22.44550662388 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8300000000000629 " "
y[1] (analytic) = 0.2620686288899948 " "
y[1] (numeric) = 0.26206862888995286 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 1.601352687980316400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49801199495826287 " "
Order of pole (three term test) = 22.455457291531715 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8200000000000629 " "
y[1] (analytic) = 0.26885417027306124 " "
y[1] (numeric) = 0.2688541702730192 " "
absolute error = 4.202194148206217500000000000000E-14 " "
relative error = 1.56300128948651500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4988031906595826 " "
Order of pole (three term test) = 22.46542577567291 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8100000000000629 " "
y[1] (analytic) = 0.27571282562981414 " "
y[1] (numeric) = 0.2757128256297721 " "
absolute error = 4.202194148206217500000000000000E-14 " "
relative error = 1.524119938420381600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.499394871735259 " "
Order of pole (three term test) = 22.47540808904285 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8000000000000629 " "
y[1] (analytic) = 0.28264390910043347 " "
y[1] (numeric) = 0.2826439091003914 " "
absolute error = 4.20774526332934330000000000000E-14 " "
relative error = 1.488708982521955400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4997868015207506 " "
Order of pole (three term test) = 22.48540023884929 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7900000000000629 " "
y[1] (analytic) = 0.2896467275823479 " "
y[1] (numeric) = 0.2896467275823059 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 1.44888328900245100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49997882324936954 " "
Order of pole (three term test) = 22.495398228365538 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7800000000000629 " "
y[1] (analytic) = 0.2967205807995451 " "
y[1] (numeric) = 0.2967205807995031 " "
absolute error = 4.202194148206217500000000000000E-14 " "
relative error = 1.416212564993961400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4999708601149839 " "
Order of pole (three term test) = 22.50539805852907 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7700000000000629 " "
y[1] (analytic) = 0.3038647613725981 " "
y[1] (numeric) = 0.3038647613725561 " "
absolute error = 4.202194148206217500000000000000E-14 " "
relative error = 1.38291591602275300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4997629153027414 " "
Order of pole (three term test) = 22.515395729541165 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7600000000000628 " "
y[1] (analytic) = 0.31107855488940306 " "
y[1] (numeric) = 0.31107855488936104 " "
absolute error = 4.202194148206217500000000000000E-14 " "
relative error = 1.350846621265876800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49935507198779466 " "
Order of pole (three term test) = 22.525387242466728 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7500000000000628 " "
y[1] (analytic) = 0.3183612399766198 " "
y[1] (numeric) = 0.3183612399765778 " "
absolute error = 4.202194148206217500000000000000E-14 " "
relative error = 1.319945276163273800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49874749330203166 " "
Order of pole (three term test) = 22.535368600833788 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7400000000000628 " "
y[1] (analytic) = 0.32571208837180854 " "
y[1] (numeric) = 0.32571208837176646 " "
absolute error = 4.20774526332934330000000000000E-14 " "
relative error = 1.29186033111736900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4979404222688257 " "
Order of pole (three term test) = 22.545335812232093 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7300000000000628 " "
y[1] (analytic) = 0.33313036499625537 " "
y[1] (numeric) = 0.33313036499621324 " "
absolute error = 4.21329637845246900000000000000E-14 " "
relative error = 1.264759031648114700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4969341817058293 " "
Order of pole (three term test) = 22.55528488990997 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7200000000000628 " "
y[1] (analytic) = 0.3406153280284796 " "
y[1] (numeric) = 0.3406153280284375 " "
absolute error = 4.20774526332934330000000000000E-14 " "
relative error = 1.235336438816260500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49572917409585143 " "
Order of pole (three term test) = 22.565211854369007 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7100000000000628 " "
y[1] (analytic) = 0.34816622897841565 " "
y[1] (numeric) = 0.34816622897837357 " "
absolute error = 4.20774526332934330000000000000E-14 " "
relative error = 1.208544917086200000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4943258814258695 " "
Order of pole (three term test) = 22.575112734955784 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7000000000000628 " "
y[1] (analytic) = 0.3557823127622609 " "
y[1] (numeric) = 0.3557823127622188 " "
absolute error = 4.21329637845246900000000000000E-14 " "
relative error = 1.184234355480132300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49272486499424073 " "
Order of pole (three term test) = 22.584983571450056 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6900000000000628 " "
y[1] (analytic) = 0.3634628177779836 " "
y[1] (numeric) = 0.3634628177779415 " "
absolute error = 4.21329637845246900000000000000E-14 " "
relative error = 1.159209738209344100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49092676518619177 " "
Order of pole (three term test) = 22.594820415648858 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6800000000000628 " "
y[1] (analytic) = 0.37120697598148267 " "
y[1] (numeric) = 0.37120697598144053 " "
absolute error = 4.21329637845246900000000000000E-14 " "
relative error = 1.135026185139000500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4889323012176712 " "
Order of pole (three term test) = 22.60461933294565 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6700000000000628 " "
y[1] (analytic) = 0.3790140129633911 " "
y[1] (numeric) = 0.37901401296334897 " "
absolute error = 4.21329637845246900000000000000E-14 " "
relative error = 1.111646597314445700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4867422708476741 " "
Order of pole (three term test) = 22.614376403904167 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6600000000000628 " "
y[1] (analytic) = 0.3868831480265167 " "
y[1] (numeric) = 0.3868831480264745 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 1.09047073130371610000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4843575500591482 " "
Order of pole (three term test) = 22.624087725826126 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6500000000000627 " "
y[1] (analytic) = 0.3948135942639105 " "
y[1] (numeric) = 0.39481359426386836 " "
absolute error = 4.21329637845246900000000000000E-14 " "
relative error = 1.067160918384213300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48177909270861324 " "
Order of pole (three term test) = 22.633749414312234 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6400000000000627 " "
y[1] (analytic) = 0.4028045586375576 " "
y[1] (numeric) = 0.4028045586375155 " "
absolute error = 4.20774526332934330000000000000E-14 " "
relative error = 1.044612125930645300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4790079301446305 " "
Order of pole (three term test) = 22.643357604815915 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6300000000000627 " "
y[1] (analytic) = 0.41085524205767976 " "
y[1] (numeric) = 0.4108552420576377 " "
absolute error = 4.20774526332934330000000000000E-14 " "
relative error = 1.02414301500834190000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47604517079527725 " "
Order of pole (three term test) = 22.65290845418909 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6200000000000627 " "
y[1] (analytic) = 0.41896483946264385 " "
y[1] (numeric) = 0.41896483946260177 " "
absolute error = 4.20774526332934330000000000000E-14 " "
relative error = 1.004319424208989900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47289199972478996 " "
Order of pole (three term test) = 22.662398142219335 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6100000000000627 " "
y[1] (analytic) = 0.4271325398994673 " "
y[1] (numeric) = 0.42713253989942523 " "
absolute error = 4.20774526332934330000000000000E-14 " "
relative error = 9.85114658864366900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4695496781595554 " "
Order of pole (three term test) = 22.671822873157964 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6000000000000627 " "
y[1] (analytic) = 0.4353575266049129 " "
y[1] (numeric) = 0.43535752660487076 " "
absolute error = 4.21329637845246900000000000000E-14 " "
relative error = 9.67778462752072000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46601954298363596 " "
Order of pole (three term test) = 22.681178877238285 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5900000000000627 " "
y[1] (analytic) = 0.44363897708716415 " "
y[1] (numeric) = 0.44363897708712197 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 9.509641198065188000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4623030062040341 " "
Order of pole (three term test) = 22.690462412183386 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5800000000000627 " "
y[1] (analytic) = 0.45197606320807404 " "
y[1] (numeric) = 0.45197606320803185 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 9.334227710270101000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4584015543859084 " "
Order of pole (three term test) = 22.699669764703078 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5700000000000627 " "
y[1] (analytic) = 0.46036795126597796 " "
y[1] (numeric) = 0.4603679512659358 " "
absolute error = 4.21329637845246900000000000000E-14 " "
relative error = 9.152019307308892000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4543167480579678 " "
Order of pole (three term test) = 22.70879725197912 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5600000000000627 " "
y[1] (analytic) = 0.46881380207906354 " "
y[1] (numeric) = 0.46881380207902135 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 8.998983124784589000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45005022108827997 " "
Order of pole (three term test) = 22.717841223138304 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5500000000000627 " "
y[1] (analytic) = 0.4773127710692874 " "
y[1] (numeric) = 0.47731277106924525 " "
absolute error = 4.21329637845246900000000000000E-14 " "
relative error = 8.82711847205291100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44560368003074613 " "
Order of pole (three term test) = 22.726798060712735 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5400000000000627 " "
y[1] (analytic) = 0.4858640083468332 " "
y[1] (numeric) = 0.485864008346791 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 8.683185873204211000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4409789034425032 " "
Order of pole (three term test) = 22.735664182086815 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5300000000000626 " "
y[1] (analytic) = 0.494466658795099 " "
y[1] (numeric) = 0.4944666587950568 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 8.532117218693676000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4361777411725236 " "
Order of pole (three term test) = 22.744436040930207 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5200000000000626 " "
y[1] (analytic) = 0.503119862156209 " "
y[1] (numeric) = 0.5031198621561668 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 8.385372574032318000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.431202113621701 " "
Order of pole (three term test) = 22.753110128616342 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5100000000000626 " "
y[1] (analytic) = 0.5118227531170378 " "
y[1] (numeric) = 0.5118227531169957 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 8.242790043784702000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42605401097471424 " "
Order of pole (three term test) = 22.76168297562577 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5000000000000626 " "
y[1] (analytic) = 0.520574461395742 " "
y[1] (numeric) = 0.5205744613956999 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 8.104215259166193000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4207354924039822 " "
Order of pole (three term test) = 22.770151152934023 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4900000000000626 " "
y[1] (analytic) = 0.5293741118287867 " "
y[1] (numeric) = 0.5293741118287445 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 7.969500962185471000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41524868524602004 " "
Order of pole (three term test) = 22.778511273383057 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4800000000000626 " "
y[1] (analytic) = 0.5382208244584616 " "
y[1] (numeric) = 0.5382208244584193 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 7.859134265341496000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4095957841505351 " "
Order of pole (three term test) = 22.786759993036174 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4700000000000626 " "
y[1] (analytic) = 0.5471137146208759 " "
y[1] (numeric) = 0.5471137146208337 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 7.711098042020493000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.403779050202594 " "
Order of pole (three term test) = 22.794894012515503 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4600000000000626 " "
y[1] (analytic) = 0.5560518930344241 " "
y[1] (numeric) = 0.556051893034382 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 7.587147074624586000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.397800810018221 " "
Order of pole (three term test) = 22.80291007832168 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.45000000000006257 " "
y[1] (analytic) = 0.5650344658887134 " "
y[1] (numeric) = 0.5650344658886712 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 7.466531244142759000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39166345481378056 " "
Order of pole (three term test) = 22.81080498413528 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.44000000000006256 " "
y[1] (analytic) = 0.5740605349339438 " "
y[1] (numeric) = 0.5740605349339015 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 7.368473299263777000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3853694394495244 " "
Order of pole (three term test) = 22.81857557209924 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.43000000000006255 " "
y[1] (analytic) = 0.5831291975707324 " "
y[1] (numeric) = 0.5831291975706901 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 7.253880857695797000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37892128144767934 " "
Order of pole (three term test) = 22.826218734081976 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.42000000000006255 " "
y[1] (analytic) = 0.5922395469403727 " "
y[1] (numeric) = 0.5922395469403304 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 7.142295285201078000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37232155998547145 " "
Order of pole (three term test) = 22.833731412920603 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.41000000000006254 " "
y[1] (analytic) = 0.6013906720155198 " "
y[1] (numeric) = 0.6013906720154775 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 7.033613789927035000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3655729148634907 " "
Order of pole (three term test) = 22.84111060364376 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.40000000000006253 " "
y[1] (analytic) = 0.6105816576912919 " "
y[1] (numeric) = 0.6105816576912496 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 6.927737953701346000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3586780454498051 " "
Order of pole (three term test) = 22.848353354673534 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3900000000000625 " "
y[1] (analytic) = 0.6198115848767807 " "
y[1] (numeric) = 0.6198115848767385 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 6.806661244343000000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35163970960024965 " "
Order of pole (three term test) = 22.855456769006093 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3800000000000625 " "
y[1] (analytic) = 0.6290795305869592 " "
y[1] (numeric) = 0.629079530586917 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 6.706381766450455000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.34446072255532095 " "
Order of pole (three term test) = 22.86241800537041 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3700000000000625 " "
y[1] (analytic) = 0.6383845680349798 " "
y[1] (numeric) = 0.6383845680349375 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 6.626021266212798000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3371439558141186 " "
Order of pole (three term test) = 22.869234279364747 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3600000000000625 " "
y[1] (analytic) = 0.6477257667248515 " "
y[1] (numeric) = 0.6477257667248093 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 6.513323554978672000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3296923359857837 " "
Order of pole (three term test) = 22.875902864570403 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3500000000000625 " "
y[1] (analytic) = 0.65710219254449 " "
y[1] (numeric) = 0.6571021925444477 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 6.4372783591578900000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3221088436188933 " "
Order of pole (three term test) = 22.882421093642204 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3400000000000625 " "
y[1] (analytic) = 0.6665129078591268 " "
y[1] (numeric) = 0.6665129078590845 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 6.3463883053798000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31439651200928287 " "
Order of pole (three term test) = 22.888786359375427 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.33000000000006247 " "
y[1] (analytic) = 0.6759569716050726 " "
y[1] (numeric) = 0.6759569716050303 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 6.257720389772371000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3065584259867661 " "
Order of pole (three term test) = 22.89499611574865 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.32000000000006246 " "
y[1] (analytic) = 0.685433439383823 " "
y[1] (numeric) = 0.6854334393837807 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 6.171204205654747000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.29859772068124635 " "
Order of pole (three term test) = 22.90104787894211 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.31000000000006245 " "
y[1] (analytic) = 0.694941363556497 " "
y[1] (numeric) = 0.6949413635564547 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 6.08677213020428000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.29051758026870345 " "
Order of pole (three term test) = 22.906939228331236 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.30000000000006244 " "
y[1] (analytic) = 0.7044797933386008 " "
y[1] (numeric) = 0.7044797933385585 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 6.004359193576990000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2823212366975692 " "
Order of pole (three term test) = 22.912667807454802 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.29000000000006243 " "
y[1] (analytic) = 0.7140477748951046 " "
y[1] (numeric) = 0.7140477748950623 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 5.923902955153437000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2740119683959891 " "
Order of pole (three term test) = 22.918231324957556 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2800000000000624 " "
y[1] (analytic) = 0.7236443514358263 " "
y[1] (numeric) = 0.723644351435784 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 5.8453433864700920000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2655930989604945 " "
Order of pole (three term test) = 22.923627555506673 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2700000000000624 " "
y[1] (analytic) = 0.7332685633111087 " "
y[1] (numeric) = 0.7332685633110664 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 5.768622760426697000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25706799582661 " "
Order of pole (three term test) = 22.928854340681877 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2600000000000624 " "
y[1] (analytic) = 0.7429194481077845 " "
y[1] (numeric) = 0.7429194481077422 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 5.693685546388004000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24844006892192244 " "
Order of pole (three term test) = 22.933909589838795 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2500000000000624 " "
y[1] (analytic) = 0.7525960407454166 " "
y[1] (numeric) = 0.7525960407453742 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 5.635230222401255000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23971276930215635 " "
Order of pole (three term test) = 22.93879128094516 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.24000000000006239 " "
y[1] (analytic) = 0.7622973735728048 " "
y[1] (numeric) = 0.7622973735727624 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 5.563513795398178000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23088958777079674 " "
Order of pole (three term test) = 22.943497461389608 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.23000000000006238 " "
y[1] (analytic) = 0.7720224764647509 " "
y[1] (numeric) = 0.7720224764647085 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 5.493430675087005000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22197405348281557 " "
Order of pole (three term test) = 22.94802624876273 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.22000000000006237 " "
y[1] (analytic) = 0.7817703769190698 " "
y[1] (numeric) = 0.7817703769190274 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 5.42493304847638000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2129697325330563 " "
Order of pole (three term test) = 22.952375831609956 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.21000000000006236 " "
y[1] (analytic) = 0.7915401001538395 " "
y[1] (numeric) = 0.791540100153797 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 5.35797485590917000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20388022652984192 " "
Order of pole (three term test) = 22.95654447015613 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.20000000000006235 " "
y[1] (analytic) = 0.8013306692048776 " "
y[1] (numeric) = 0.8013306692048353 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 5.278656971932729000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19470917115438263 " "
Order of pole (three term test) = 22.960530497001418 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.19000000000006234 " "
y[1] (analytic) = 0.8111411050234382 " "
y[1] (numeric) = 0.8111411050233959 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 5.2148136712904240000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18546023470654927 " "
Order of pole (three term test) = 22.964332317788234 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.18000000000006233 " "
y[1] (analytic) = 0.8209704265741145 " "
y[1] (numeric) = 0.8209704265740722 " "
absolute error = 4.229949723821846400000000000000E-14 " "
relative error = 5.1523777067991380000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17613711663760337 " "
Order of pole (three term test) = 22.96794841183895 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.17000000000006232 " "
y[1] (analytic) = 0.8308176509329426 " "
y[1] (numeric) = 0.8308176509329002 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 5.104672426381085000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.166743546070466 " "
Order of pole (three term test) = 22.971377332764146 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.16000000000006231 " "
y[1] (analytic) = 0.8406817933856925 " "
y[1] (numeric) = 0.8406817933856501 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 5.044776736496261000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15728328030811814 " "
Order of pole (three term test) = 22.974617709041198 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1500000000000623 " "
y[1] (analytic) = 0.8505618675263391 " "
y[1] (numeric) = 0.8505618675262967 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 4.986176921382813000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14776010333072936 " "
Order of pole (three term test) = 22.977668244562786 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1400000000000623 " "
y[1] (analytic) = 0.8604568853557019 " "
y[1] (numeric) = 0.8604568853556593 " "
absolute error = 4.252154184314349500000000000000E-14 " "
relative error = 4.9417399717320687000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13817782428211672 " "
Order of pole (three term test) = 22.980527719155372 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1300000000000623 " "
y[1] (analytic) = 0.8703658573802434 " "
y[1] (numeric) = 0.8703658573802009 " "
absolute error = 4.252154184314349500000000000000E-14 " "
relative error = 4.885479075561529600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12854027594613765 " "
Order of pole (three term test) = 22.983194989067233 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.12000000000006229 " "
y[1] (analytic) = 0.8802877927110188 " "
y[1] (numeric) = 0.8802877927109763 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 4.817801620316632000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11885131321362777 " "
Order of pole (three term test) = 22.985668987425996 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1100000000000623 " "
y[1] (analytic) = 0.8902216991627633 " "
y[1] (numeric) = 0.8902216991627209 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 4.76404019140033000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10911481154049553 " "
Order of pole (three term test) = 22.987948724665287 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1000000000000623 " "
y[1] (analytic) = 0.9001665833531098 " "
y[1] (numeric) = 0.9001665833530674 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 4.711407902157654000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.93346653975916400E-2 " "
Order of pole (three term test) = 22.990033288920607 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -9.00000000000623100E-2 " "
y[1] (analytic) = 0.9101214508019269 " "
y[1] (numeric) = 0.9101214508018844 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 4.659874734664499000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.95147867129733700E-2 " "
Order of pole (three term test) = 22.991921846394053 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -8.00000000000623100E-2 " "
y[1] (analytic) = 0.9200853060307652 " "
y[1] (numeric) = 0.9200853060307228 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 4.6094116776670796000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.96591033071844900E-2 " "
Order of pole (three term test) = 22.993613641687805 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -7.00000000000623200E-2 " "
y[1] (analytic) = 0.9300571526624051 " "
y[1] (numeric) = 0.9300571526623627 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 4.559990686515936000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.97715573221799400E-2 " "
Order of pole (three term test) = 22.99510799810631 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -6.000000000006231000E-2 " "
y[1] (analytic) = 0.9400359935204932 " "
y[1] (numeric) = 0.9400359935204508 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 4.5115846449507696000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.98561036445215900E-2 " "
Order of pole (three term test) = 22.996404317926924 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -5.000000000006232000E-2 " "
y[1] (analytic) = 0.9500208307292595 " "
y[1] (numeric) = 0.950020830729217 " "
absolute error = 4.252154184314349500000000000000E-14 " "
relative error = 4.475853630546491000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.99167083234760670E-2 " "
Order of pole (three term test) = 22.997502082639016 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.00000000000623130E-2 " "
y[1] (analytic) = 0.9600106658133036 " "
y[1] (numeric) = 0.9600106658132611 " "
absolute error = 4.252154184314349500000000000000E-14 " "
relative error = 4.429278065063998000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.9957346984648500E-2 " "
Order of pole (three term test) = 22.998400853151306 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.00000000000623100E-2 " "
y[1] (analytic) = 0.9700044997974421 " "
y[1] (numeric) = 0.9700044997973996 " "
absolute error = 4.252154184314349500000000000000E-14 " "
relative error = 4.383643771964245000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.998200323978449400E-2 " "
Order of pole (three term test) = 22.99910026996759 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.000000000006230700E-2 " "
y[1] (analytic) = 0.9800013333066047 " "
y[1] (numeric) = 0.9800013333065621 " "
absolute error = 4.252154184314349500000000000000E-14 " "
relative error = 4.338926937953476000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.999466709337932600E-2 " "
Order of pole (three term test) = 22.999600053330486 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.000000000006230800E-2 " "
y[1] (analytic) = 0.9900001666657711 " "
y[1] (numeric) = 0.9900001666657285 " "
absolute error = 4.252154184314349500000000000000E-14 " "
relative error = 4.295104513603479000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.999333346728837000E-3 " "
Order of pole (three term test) = 22.99990000333329 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -6.23077978101349600000000000000E-14 " "
y[1] (analytic) = 0.9999999999999377 " "
y[1] (numeric) = 0.9999999999998952 " "
absolute error = 4.252154184314349500000000000000E-14 " "
relative error = 4.2521541843146143000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.23077978101349500000000000000E-14 " "
Order of pole (three term test) = 22.999999999999996 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.999999999937692000E-3 " "
y[1] (analytic) = 1.0099998333341043 " "
y[1] (numeric) = 1.0099998333340618 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 4.199062033572805000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.999333346604248000E-3 " "
Order of pole (three term test) = 22.999900003333288 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.999999999993769300E-2 " "
y[1] (analytic) = 1.0199986666932708 " "
y[1] (numeric) = 1.0199986666932284 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 4.1578995076700900000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.999466709325484200E-2 " "
Order of pole (three term test) = 22.999600053330493 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.999999999993769300E-2 " "
y[1] (analytic) = 1.0299955002024335 " "
y[1] (numeric) = 1.029995500202391 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 4.117544157459493400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.99820032396600930E-2 " "
Order of pole (three term test) = 22.999100269967606 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.999999999993769700E-2 " "
y[1] (analytic) = 1.0399893341865718 " "
y[1] (numeric) = 1.0399893341865296 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 4.0566257315276877000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.995734698452424500E-2 " "
Order of pole (three term test) = 22.998400853151317 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.9999999999937700E-2 " "
y[1] (analytic) = 1.0499791692706162 " "
y[1] (numeric) = 1.0499791692705738 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 4.039177231500896000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.991670832335206600E-2 " "
Order of pole (three term test) = 22.997502082639024 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.9999999999937700E-2 " "
y[1] (analytic) = 1.0599640064793825 " "
y[1] (numeric) = 1.05996400647934 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 4.001128272416099000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.985610364439778000E-2 " "
Order of pole (three term test) = 22.996404317926935 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.9999999999937690E-2 " "
y[1] (analytic) = 1.0699428473374706 " "
y[1] (numeric) = 1.0699428473374284 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.943058738206536000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.97715573220565300E-2 " "
Order of pole (three term test) = 22.995107998106327 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.99999999999376900E-2 " "
y[1] (analytic) = 1.0799146939691107 " "
y[1] (numeric) = 1.0799146939690685 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.9066488465581234000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.96591033070615200E-2 " "
Order of pole (three term test) = 22.993613641687826 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.99999999999376900E-2 " "
y[1] (analytic) = 1.089878549197949 " "
y[1] (numeric) = 1.0898785491979068 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.870933597766724000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.95147867128508200E-2 " "
Order of pole (three term test) = 22.99192184639407 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.99999999999376800E-2 " "
y[1] (analytic) = 1.0998334166467663 " "
y[1] (numeric) = 1.099833416646724 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.8358968092079376000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.93346653974695800E-2 " "
Order of pole (three term test) = 22.990033288920632 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.10999999999993768 " "
y[1] (analytic) = 1.109778300837113 " "
y[1] (numeric) = 1.1097783008370707 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.801522781976626000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10911481154037377 " "
Order of pole (three term test) = 22.987948724665316 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11999999999993767 " "
y[1] (analytic) = 1.1197122072888575 " "
y[1] (numeric) = 1.1197122072888153 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.7677962838242407000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1188513132135067 " "
Order of pole (three term test) = 22.98566898742603 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12999999999993767 " "
y[1] (analytic) = 1.129634142619633 " "
y[1] (numeric) = 1.1296341426195908 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.734702532797074000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12854027594601725 " "
Order of pole (three term test) = 22.983194989067265 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13999999999993767 " "
y[1] (analytic) = 1.1395431146441748 " "
y[1] (numeric) = 1.1395431146441326 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.702227181542789300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.138177824281997 " "
Order of pole (three term test) = 22.980527719155397 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14999999999993768 " "
y[1] (analytic) = 1.1494381324735377 " "
y[1] (numeric) = 1.1494381324734955 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.670356302254242000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14776010333061027 " "
Order of pole (three term test) = 22.977668244562825 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1599999999999377 " "
y[1] (analytic) = 1.1593182066141845 " "
y[1] (numeric) = 1.1593182066141423 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.639076372221252000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15728328030799973 " "
Order of pole (three term test) = 22.974617709041244 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1699999999999377 " "
y[1] (analytic) = 1.1691823490669346 " "
y[1] (numeric) = 1.1691823490668924 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.608374259962481000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16674354607034858 " "
Order of pole (three term test) = 22.971377332764188 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1799999999999377 " "
y[1] (analytic) = 1.179029573425763 " "
y[1] (numeric) = 1.1790295734257208 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.5782372119109807000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17613711663748674 " "
Order of pole (three term test) = 22.967948411838993 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18999999999993772 " "
y[1] (analytic) = 1.1888588949764394 " "
y[1] (numeric) = 1.1888588949763974 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 3.5299757194198056000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18546023470643355 " "
Order of pole (three term test) = 22.96433231778828 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.19999999999993773 " "
y[1] (analytic) = 1.1986693307950003 " "
y[1] (numeric) = 1.198669330794958 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.5196091075238445000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1947091711542678 " "
Order of pole (three term test) = 22.960530497001457 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.20999999999993774 " "
y[1] (analytic) = 1.2084598998460387 " "
y[1] (numeric) = 1.2084598998459966 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.491094321055327000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2038802265297283 " "
Order of pole (three term test) = 22.956544470156185 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.21999999999993775 " "
y[1] (analytic) = 1.2182296230808085 " "
y[1] (numeric) = 1.2182296230807665 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 3.4448702884683646000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21296973253294343 " "
Order of pole (three term test) = 22.952375831610006 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22999999999993775 " "
y[1] (analytic) = 1.2279775235351278 " "
y[1] (numeric) = 1.2279775235350858 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 3.4175243053323220000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22197405348270405 " "
Order of pole (three term test) = 22.948026248762783 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23999999999993776 " "
y[1] (analytic) = 1.237702626427074 " "
y[1] (numeric) = 1.237702626427032 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 3.3906715098421580000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23088958777068608 " "
Order of pole (three term test) = 22.943497461389672 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24999999999993777 " "
y[1] (analytic) = 1.2474039592544626 " "
y[1] (numeric) = 1.2474039592544206 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 3.364301517522282300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23971276930204696 " "
Order of pole (three term test) = 22.938791280945217 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2599999999999378 " "
y[1] (analytic) = 1.2570805518920949 " "
y[1] (numeric) = 1.257080551892053 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 3.338404230951242000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2484400689218143 " "
Order of pole (three term test) = 22.933909589838855 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2699999999999378 " "
y[1] (analytic) = 1.2667314366887712 " "
y[1] (numeric) = 1.266731436688729 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.330498771392015300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2570679958265033 " "
Order of pole (three term test) = 22.928854340681948 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2799999999999378 " "
y[1] (analytic) = 1.276355648564054 " "
y[1] (numeric) = 1.2763556485640117 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.305385531314841700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2655930989603891 " "
Order of pole (three term test) = 22.92362755550674 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2899999999999378 " "
y[1] (analytic) = 1.285952225104776 " "
y[1] (numeric) = 1.2859522251047337 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.280718685510929000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2740119683958848 " "
Order of pole (three term test) = 22.918231324957627 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2999999999999378 " "
y[1] (analytic) = 1.29552020666128 " "
y[1] (numeric) = 1.295520206661238 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.2564891476668667000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28232123669746645 " "
Order of pole (three term test) = 22.91266780745488 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3099999999999378 " "
y[1] (analytic) = 1.3050586364433843 " "
y[1] (numeric) = 1.305058636443342 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.2326880768154787000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.29051758026860214 " "
Order of pole (three term test) = 22.906939228331307 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31999999999993783 " "
y[1] (analytic) = 1.3145665606160588 " "
y[1] (numeric) = 1.3145665606160166 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 3.209306869633496000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.29859772068114626 " "
Order of pole (three term test) = 22.901047878942187 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.32999999999993784 " "
y[1] (analytic) = 1.3240430283948095 " "
y[1] (numeric) = 1.3240430283947675 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 3.169566957480869000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3065584259866677 " "
Order of pole (three term test) = 22.894996115748718 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.33999999999993785 " "
y[1] (analytic) = 1.3334870921407558 " "
y[1] (numeric) = 1.3334870921407138 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 3.1471193518235546000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31439651200918595 " "
Order of pole (three term test) = 22.8887863593755 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.34999999999993786 " "
y[1] (analytic) = 1.342897807455393 " "
y[1] (numeric) = 1.342897807455351 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 3.1250650718055410000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3221088436187982 " "
Order of pole (three term test) = 22.882421093642286 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.35999999999993787 " "
y[1] (analytic) = 1.3522742332750317 " "
y[1] (numeric) = 1.35227423327499 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 3.0869763468617184000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32969233598568987 " "
Order of pole (three term test) = 22.875902864570488 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3699999999999379 " "
y[1] (analytic) = 1.361615431964904 " "
y[1] (numeric) = 1.3616154319648621 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 3.082105956325017000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3371439558140265 " "
Order of pole (three term test) = 22.869234279364836 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3799999999999379 " "
y[1] (analytic) = 1.370920469412925 " "
y[1] (numeric) = 1.3709204694128831 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 3.0449896005843624000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3444607225552307 " "
Order of pole (three term test) = 22.86241800537049 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3899999999999379 " "
y[1] (analytic) = 1.3801884151231039 " "
y[1] (numeric) = 1.3801884151230621 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 3.0245425384317953000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35163970960016105 " "
Order of pole (three term test) = 22.85545676900618 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3999999999999379 " "
y[1] (analytic) = 1.3894183423085933 " "
y[1] (numeric) = 1.3894183423085513 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 3.020431575784543000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35867804544971804 " "
Order of pole (three term test) = 22.84835335467363 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4099999999999379 " "
y[1] (analytic) = 1.3986093279843659 " "
y[1] (numeric) = 1.398609327984324 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 3.000582756824001000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.36557291486340565 " "
Order of pole (three term test) = 22.84111060364385 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4199999999999379 " "
y[1] (analytic) = 1.4077604530595136 " "
y[1] (numeric) = 1.4077604530594714 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.9968504118770284000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.372321559985388 " "
Order of pole (three term test) = 22.8337314129207 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42999999999993793 " "
y[1] (analytic) = 1.4168708024291543 " "
y[1] (numeric) = 1.4168708024291123 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.961909459837945000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3789212814475979 " "
Order of pole (three term test) = 22.826218734082072 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.43999999999993794 " "
y[1] (analytic) = 1.4259394650659434 " "
y[1] (numeric) = 1.4259394650659014 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.943072364498317000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38536943944944524 " "
Order of pole (three term test) = 22.818575572099334 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.44999999999993795 " "
y[1] (analytic) = 1.4349655341111744 " "
y[1] (numeric) = 1.4349655341111323 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.94003402401492000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3916634548137032 " "
Order of pole (three term test) = 22.81080498413538 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.45999999999993796 " "
y[1] (analytic) = 1.4439481069654643 " "
y[1] (numeric) = 1.443948106965422 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.9217445372339124000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3978008100181453 " "
Order of pole (three term test) = 22.802910078321787 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.46999999999993797 " "
y[1] (analytic) = 1.452886285379013 " "
y[1] (numeric) = 1.4528862853789708 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.9037699206273590000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4037790502025206 " "
Order of pole (three term test) = 22.7948940125156 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.479999999999938 " "
y[1] (analytic) = 1.461779175541428 " "
y[1] (numeric) = 1.4617791755413856 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.9012945491560005000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.40959578415046366 " "
Order of pole (three term test) = 22.78675999303628 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.489999999999938 " "
y[1] (analytic) = 1.4706258881711034 " "
y[1] (numeric) = 1.470625888171061 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.8838414910146490000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4152486852459508 " "
Order of pole (three term test) = 22.77851127338316 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.499999999999938 " "
y[1] (analytic) = 1.4794255386041486 " "
y[1] (numeric) = 1.4794255386041062 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.8666883485528910000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42073549240391467 " "
Order of pole (three term test) = 22.770151152934123 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.509999999999938 " "
y[1] (analytic) = 1.4881772468828534 " "
y[1] (numeric) = 1.488177246882811 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.8498298592801600000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42605401097464907 " "
Order of pole (three term test) = 22.76168297562588 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.519999999999938 " "
y[1] (analytic) = 1.496880137843683 " "
y[1] (numeric) = 1.4968801378436405 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.8332608916686586000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43120211362163774 " "
Order of pole (three term test) = 22.75311012861644 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.529999999999938 " "
y[1] (analytic) = 1.5055333412047935 " "
y[1] (numeric) = 1.5055333412047511 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.816976441500939000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43617774117246294 " "
Order of pole (three term test) = 22.744436040930317 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.539999999999938 " "
y[1] (analytic) = 1.51413599165306 " "
y[1] (numeric) = 1.5141359916530175 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.800971628339621000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44097890344244445 " "
Order of pole (three term test) = 22.735664182086918 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.549999999999938 " "
y[1] (analytic) = 1.5226872289306064 " "
y[1] (numeric) = 1.522687228930564 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.785241692114682000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44560368003068956 " "
Order of pole (three term test) = 22.72679806071284 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.559999999999938 " "
y[1] (analytic) = 1.5311861979208308 " "
y[1] (numeric) = 1.5311861979207886 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.755280513437418000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4500502210882255 " "
Order of pole (three term test) = 22.717841223138414 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.569999999999938 " "
y[1] (analytic) = 1.539632048733917 " "
y[1] (numeric) = 1.5396320487338748 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.740166065681000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45431674805791555 " "
Order of pole (three term test) = 22.70879725197923 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.579999999999938 " "
y[1] (analytic) = 1.5480239367918216 " "
y[1] (numeric) = 1.5480239367917794 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.7253115364087205000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45840155438585867 " "
Order of pole (three term test) = 22.699669764703195 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.589999999999938 " "
y[1] (analytic) = 1.5563610229127323 " "
y[1] (numeric) = 1.55636102291269 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.71071263766296000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4623030062039866 " "
Order of pole (three term test) = 22.690462412183496 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.599999999999938 " "
y[1] (analytic) = 1.5646424733949842 " "
y[1] (numeric) = 1.564642473394942 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.69636518585711000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4660195429835906 " "
Order of pole (three term test) = 22.6811788772384 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.609999999999938 " "
y[1] (analytic) = 1.5728674601004304 " "
y[1] (numeric) = 1.5728674601003882 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.6822650989970975000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4695496781595125 " "
Order of pole (three term test) = 22.67182287315809 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.619999999999938 " "
y[1] (analytic) = 1.5810351605372546 " "
y[1] (numeric) = 1.5810351605372124 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.668408393992946000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47289199972474943 " "
Order of pole (three term test) = 22.662398142219445 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.629999999999938 " "
y[1] (analytic) = 1.5891447579422193 " "
y[1] (numeric) = 1.5891447579421771 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.654791184057123000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47604517079523906 " "
Order of pole (three term test) = 22.652908454189205 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6399999999999381 " "
y[1] (analytic) = 1.5971954413623424 " "
y[1] (numeric) = 1.5971954413623 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.655311832377041000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4790079301445947 " "
Order of pole (three term test) = 22.643357604816043 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6499999999999381 " "
y[1] (analytic) = 1.6051864057359904 " "
y[1] (numeric) = 1.605186405735948 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.6420931169819760000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48177909270857977 " "
Order of pole (three term test) = 22.633749414312348 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6599999999999381 " "
y[1] (analytic) = 1.613116851973385 " "
y[1] (numeric) = 1.6131168519733425 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.6291039913691705000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4843575500591174 " "
Order of pole (three term test) = 22.62408772582625 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6699999999999381 " "
y[1] (analytic) = 1.6209859870365113 " "
y[1] (numeric) = 1.620985987036469 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.616340911016507000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48674227084764554 " "
Order of pole (three term test) = 22.614376403904288 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6799999999999381 " "
y[1] (analytic) = 1.6287930240184205 " "
y[1] (numeric) = 1.628793024018378 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.60380041633831000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48893230121764514 " "
Order of pole (three term test) = 22.60461933294577 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6899999999999381 " "
y[1] (analytic) = 1.6365371822219204 " "
y[1] (numeric) = 1.636537182221878 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.591479130532212000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4909267651861681 " "
Order of pole (three term test) = 22.59482041564898 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6999999999999381 " "
y[1] (analytic) = 1.6442176872376437 " "
y[1] (numeric) = 1.6442176872376015 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.565869182847339000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4927248649942195 " "
Order of pole (three term test) = 22.584983571450177 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7099999999999381 " "
y[1] (analytic) = 1.6518337710214896 " "
y[1] (numeric) = 1.6518337710214475 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.5540387704791084000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4943258814258507 " "
Order of pole (three term test) = 22.575112734955905 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7199999999999381 " "
y[1] (analytic) = 1.6593846719714267 " "
y[1] (numeric) = 1.6593846719713843 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.555797956738705000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49572917409583517 " "
Order of pole (three term test) = 22.565211854369135 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7299999999999381 " "
y[1] (analytic) = 1.6668696350036518 " "
y[1] (numeric) = 1.6668696350036094 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.5443213224403155000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4969341817058157 " "
Order of pole (three term test) = 22.5552848899101 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7399999999999382 " "
y[1] (analytic) = 1.6742879116280993 " "
y[1] (numeric) = 1.6742879116280571 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.519786151638121000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49794042226881435 " "
Order of pole (three term test) = 22.545335812232214 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7499999999999382 " "
y[1] (analytic) = 1.681638760023289 " "
y[1] (numeric) = 1.6816387600232467 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.5087715589507270000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49874749330202295 " "
Order of pole (three term test) = 22.535368600833916 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7599999999999382 " "
y[1] (analytic) = 1.6889214451105066 " "
y[1] (numeric) = 1.6889214451104644 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.497953653078018300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4993550719877884 " "
Order of pole (three term test) = 22.525387242466845 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7699999999999382 " "
y[1] (analytic) = 1.6961352386273125 " "
y[1] (numeric) = 1.6961352386272701 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.500420872984394000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49976291530273753 " "
Order of pole (three term test) = 22.51539572954129 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7799999999999382 " "
y[1] (analytic) = 1.7032794192003662 " "
y[1] (numeric) = 1.703279419200324 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.4768968884484058000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49997086011498243 " "
Order of pole (three term test) = 22.50539805852919 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7899999999999382 " "
y[1] (analytic) = 1.7103532724175643 " "
y[1] (numeric) = 1.710353272417522 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.466652686092332000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49997882324937054 " "
Order of pole (three term test) = 22.49539822836565 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7999999999999382 " "
y[1] (analytic) = 1.7173560908994796 " "
y[1] (numeric) = 1.7173560908994374 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.456594480278076000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4997868015207544 " "
Order of pole (three term test) = 22.48540023884942 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8099999999999382 " "
y[1] (analytic) = 1.7242871743701 " "
y[1] (numeric) = 1.7242871743700576 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.459597227832654000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.499394871735265 " "
Order of pole (three term test) = 22.475408089042972 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8199999999999382 " "
y[1] (analytic) = 1.7311458297268536 " "
y[1] (numeric) = 1.7311458297268114 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.4370260558818777000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49880319065959117 " "
Order of pole (three term test) = 22.46542577567303 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8299999999999382 " "
y[1] (analytic) = 1.7379313711099211 " "
y[1] (numeric) = 1.7379313711098787 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.4402873580442774000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49801199495827386 " "
Order of pole (three term test) = 22.45545729153183 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8399999999999382 " "
y[1] (analytic) = 1.7446431199708181 " "
y[1] (numeric) = 1.7446431199707757 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.430899423223608000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49702160109904475 " "
Order of pole (three term test) = 22.445506623880128 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8499999999999382 " "
y[1] (analytic) = 1.751280405140252 " "
y[1] (numeric) = 1.7512804051402096 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.4216864081959805000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4958324052262422 " "
Order of pole (three term test) = 22.4355777528523 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8599999999999383 " "
y[1] (analytic) = 1.7578425628952368 " "
y[1] (numeric) = 1.7578425628951944 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.4126460717181156000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49444488300236 " "
Order of pole (three term test) = 22.425674649864384 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8699999999999383 " "
y[1] (analytic) = 1.7643289370254651 " "
y[1] (numeric) = 1.764328937025423 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.3911910103839684000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4928595894177871 " "
Order of pole (three term test) = 22.41580127602552 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8799999999999383 " "
y[1] (analytic) = 1.77073887889893 " "
y[1] (numeric) = 1.7707388788988876 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.3950747366575265000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4910771585688209 " "
Order of pole (three term test) = 22.40596158055362 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8899999999999383 " "
y[1] (analytic) = 1.777071747526785 " "
y[1] (numeric) = 1.7770717475267426 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.3865395192796932000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4890983034040352 " "
Order of pole (three term test) = 22.396159499195672 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8999999999999383 " "
y[1] (analytic) = 1.7833269096274451 " "
y[1] (numeric) = 1.7833269096274025 " "
absolute error = 4.26325641456060100000000000000E-14 " "
relative error = 2.3906196847841196000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4869238154391117 " "
Order of pole (three term test) = 22.38639895265352 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9099999999999383 " "
y[1] (analytic) = 1.7895037396899125 " "
y[1] (numeric) = 1.78950373968987 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.369959816235418000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48455456444024336 " "
Order of pole (three term test) = 22.37668384501564 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9199999999999383 " "
y[1] (analytic) = 1.7956016200363285 " "
y[1] (numeric) = 1.795601620036286 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.3619114099386330000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4819914980762404 " "
Order of pole (three term test) = 22.367018062195566 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9299999999999383 " "
y[1] (analytic) = 1.8016199408837403 " "
y[1] (numeric) = 1.8016199408836977 " "
absolute error = 4.26325641456060100000000000000E-14 " "
relative error = 2.366346152046566200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4792356415394747 " "
Order of pole (three term test) = 22.357405470377547 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9399999999999383 " "
y[1] (analytic) = 1.8075581004050778 " "
y[1] (numeric) = 1.8075581004050354 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.346288040820192200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47628809713581644 " "
Order of pole (three term test) = 22.34784991447014 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9499999999999383 " "
y[1] (analytic) = 1.8134155047893379 " "
y[1] (numeric) = 1.8134155047892953 " "
absolute error = 4.26325641456060100000000000000E-14 " "
relative error = 2.350953988923712000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47315004384372716 " "
Order of pole (three term test) = 22.338355216568306 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9599999999999383 " "
y[1] (analytic) = 1.819191568300963 " "
y[1] (numeric) = 1.8191915683009203 " "
absolute error = 4.26325641456060100000000000000E-14 " "
relative error = 2.3434895416441914000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4698227368426838 " "
Order of pole (three term test) = 22.32892517442461 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9699999999999384 " "
y[1] (analytic) = 1.824885713338415 " "
y[1] (numeric) = 1.8248857133383727 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.3240096204762264000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46630750701112256 " "
Order of pole (three term test) = 22.31956355993017 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9799999999999384 " "
y[1] (analytic) = 1.830497370491936 " "
y[1] (numeric) = 1.8304973704918936 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.3168850294105248000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4626057603941076 " "
Order of pole (three term test) = 22.310274117605978 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9899999999999384 " "
y[1] (analytic) = 1.8360259786004867 " "
y[1] (numeric) = 1.8360259786004443 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.3099084672542844000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45871897764092956 " "
Order of pole (three term test) = 22.3010605631051 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9999999999999384 " "
y[1] (analytic) = 1.8414709848078632 " "
y[1] (numeric) = 1.8414709848078208 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.3030783482643924000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4546487134128669 " "
Order of pole (three term test) = 22.291926581726493 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0099999999999383 " "
y[1] (analytic) = 1.8468318446179823 " "
y[1] (numeric) = 1.84683184461794 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.2963931266548857000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4503965957613405 " "
Order of pole (three term test) = 22.282875826940906 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0199999999999383 " "
y[1] (analytic) = 1.8521080219493307 " "
y[1] (numeric) = 1.8521080219492883 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.2898512958247544000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4459643254767178 " "
Order of pole (three term test) = 22.2739119189296 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0299999999999383 " "
y[1] (analytic) = 1.8572989891885716 " "
y[1] (numeric) = 1.8572989891885292 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.2834513876093557000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4413536754080158 " "
Order of pole (three term test) = 22.265038443136252 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0399999999999383 " "
y[1] (analytic) = 1.862404227243307 " "
y[1] (numeric) = 1.8624042272432648 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.2652695004994958000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43656648975378837 " "
Order of pole (three term test) = 22.256258948832876 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0499999999999383 " "
y[1] (analytic) = 1.8674232255939862 " "
y[1] (numeric) = 1.8674232255939438 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.2710716542143855000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.431604683324468 " "
Order of pole (three term test) = 22.24757694770013 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0599999999999383 " "
y[1] (analytic) = 1.8723554823449562 " "
y[1] (numeric) = 1.8723554823449138 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.265089078467388000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42647024077647033 " "
Order of pole (three term test) = 22.2389959124227 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0699999999999383 " "
y[1] (analytic) = 1.877200504274652 " "
y[1] (numeric) = 1.8772005042746096 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.259242922858065200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42116521581835614 " "
Order of pole (three term test) = 22.230519275300292 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0799999999999383 " "
y[1] (analytic) = 1.8819578068849183 " "
y[1] (numeric) = 1.881957806884876 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.2535319009558635000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41569173038937596 " "
Order of pole (three term test) = 22.222150426874745 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0899999999999384 " "
y[1] (analytic) = 1.8866269144494587 " "
y[1] (numeric) = 1.886626914449416 " "
absolute error = 4.26325641456060100000000000000E-14 " "
relative error = 2.259724157388411000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4100519738107224 " "
Order of pole (three term test) = 22.21389271457383 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0999999999999384 " "
y[1] (analytic) = 1.8912073600614074 " "
y[1] (numeric) = 1.8912073600613648 " "
absolute error = 4.26325641456060100000000000000E-14 " "
relative error = 2.254251175514764000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4042482019098315 " "
Order of pole (three term test) = 22.20574944137238 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1099999999999384 " "
y[1] (analytic) = 1.8956986856800202 " "
y[1] (numeric) = 1.8956986856799776 " "
absolute error = 4.26325641456060100000000000000E-14 " "
relative error = 2.2489103604728705000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3982827361180806 " "
Order of pole (three term test) = 22.197723864471083 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1199999999999384 " "
y[1] (analytic) = 1.9001004421764782 " "
y[1] (numeric) = 1.9001004421764356 " "
absolute error = 4.26325641456060100000000000000E-14 " "
relative error = 2.24370055389136990000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39215796254224833 " "
Order of pole (three term test) = 22.189819193993703 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1299999999999384 " "
y[1] (analytic) = 1.9044121893787995 " "
y[1] (numeric) = 1.9044121893787571 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.2269611472354037000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38587633101010227 " "
Order of pole (three term test) = 22.18203859170305 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1399999999999384 " "
y[1] (analytic) = 1.9086334961158575 " "
y[1] (numeric) = 1.9086334961158151 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.2220357982288383000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3794403540905012 " "
Order of pole (three term test) = 22.174385169736272 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1499999999999384 " "
y[1] (analytic) = 1.912763940260496 " "
y[1] (numeric) = 1.9127639402604535 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.2172375089267504000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37285260608840115 " "
Order of pole (three term test) = 22.166861989360132 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1599999999999384 " "
y[1] (analytic) = 1.9168031087717423 " "
y[1] (numeric) = 1.9168031087717 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.2125652523517125000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.36611572201516757 " "
Order of pole (three term test) = 22.159472059746466 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1699999999999384 " "
y[1] (analytic) = 1.9207505977361117 " "
y[1] (numeric) = 1.9207505977360693 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.208018031631386000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35923239653460587 " "
Order of pole (three term test) = 22.15221833676859 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1799999999999384 " "
y[1] (analytic) = 1.924606012407997 " "
y[1] (numeric) = 1.9246060124079545 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.2035948795368504000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3522053828851318 " "
Order of pole (three term test) = 22.14510372181898 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1899999999999384 " "
y[1] (analytic) = 1.9283689672491438 " "
y[1] (numeric) = 1.9283689672491013 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.1992948580364485000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3450374917785128 " "
Order of pole (three term test) = 22.13813106064876 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1999999999999384 " "
y[1] (analytic) = 1.932039085967204 " "
y[1] (numeric) = 1.9320390859671617 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.195117057864785200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33773159027562094 " "
Order of pole (three term test) = 22.13130314222942 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2099999999999385 " "
y[1] (analytic) = 1.935616001553364 " "
y[1] (numeric) = 1.935616001553322 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.179589076650482200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3302906006396467 " "
Order of pole (three term test) = 22.124622697637296 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2199999999999385 " "
y[1] (analytic) = 1.9390993563190464 " "
y[1] (numeric) = 1.9390993563190042 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.1756737115235544000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32271749916723214 " "
Order of pole (three term test) = 22.11809239896115 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2299999999999385 " "
y[1] (analytic) = 1.942488801931677 " "
y[1] (numeric) = 1.9424888019316346 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.183308315523184200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31501531499799407 " "
Order of pole (three term test) = 22.111714858233395 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2399999999999385 " "
y[1] (analytic) = 1.945783999449519 " "
y[1] (numeric) = 1.9457839994494768 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.168199293842043900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3071871289029044 " "
Order of pole (three term test) = 22.105492626385274 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2499999999999385 " "
y[1] (analytic) = 1.9489846193555667 " "
y[1] (numeric) = 1.9489846193555247 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.1532458447366892000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2992360720520275 " "
Order of pole (three term test) = 22.09942819222657 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2599999999999385 " "
y[1] (analytic) = 1.9520903415904969 " "
y[1] (numeric) = 1.952090341590455 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.1498200896090755000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.29116532476209095 " "
Order of pole (three term test) = 22.093523981450087 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2699999999999385 " "
y[1] (analytic) = 1.955100855584674 " "
y[1] (numeric) = 1.9551008555846319 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.157866936390831800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.282978115224402 " "
Order of pole (three term test) = 22.087782355661425 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2799999999999385 " "
y[1] (analytic) = 1.9580158602892075 " "
y[1] (numeric) = 1.958015860289165 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.1659946888487802000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2746777182136147 " "
Order of pole (three term test) = 22.082205611434322 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2899999999999385 " "
y[1] (analytic) = 1.9608350642060555 " "
y[1] (numeric) = 1.9608350642060133 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.1515565335342530000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.26626745377786254 " "
Order of pole (three term test) = 22.07679597939214 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2999999999999385 " "
y[1] (analytic) = 1.9635581854171766 " "
y[1] (numeric) = 1.9635581854171342 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.159880967910837000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25775068591078476 " "
Order of pole (three term test) = 22.071555623315554 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3099999999999385 " "
y[1] (analytic) = 1.9661849516127181 " "
y[1] (numeric) = 1.966184951612676 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.145702259655269000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24913082120597244 " "
Order of pole (three term test) = 22.066486639277123 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3199999999999386 " "
y[1] (analytic) = 1.9687151001182501 " "
y[1] (numeric) = 1.9687151001182077 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.1542233072796366000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.240411307494378 " "
Order of pole (three term test) = 22.061591054802886 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3299999999999386 " "
y[1] (analytic) = 1.97114837792103 " "
y[1] (numeric) = 1.9711483779209875 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.151564033216584000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23159563246522719 " "
Order of pole (three term test) = 22.056870828061356 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3399999999999386 " "
y[1] (analytic) = 1.9734845416953053 " "
y[1] (numeric) = 1.9734845416952629 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.1490170632017505000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22268732227099045 " "
Order of pole (three term test) = 22.05232784708028 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3499999999999386 " "
y[1] (analytic) = 1.9757233578266455 " "
y[1] (numeric) = 1.9757233578266031 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.1465818770970957000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2136899401169706 " "
Order of pole (three term test) = 22.0479639289915 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3599999999999386 " "
y[1] (analytic) = 1.9778646024353033 " "
y[1] (numeric) = 1.9778646024352609 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.1442579784511942000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20460708483606477 " "
Order of pole (three term test) = 22.043780819304047 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3699999999999386 " "
y[1] (analytic) = 1.979908061398602 " "
y[1] (numeric) = 1.9799080613985596 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.1420448942827325000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19544238944928283 " "
Order of pole (three term test) = 22.039780191206034 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3799999999999386 " "
y[1] (analytic) = 1.9818535303723481 " "
y[1] (numeric) = 1.9818535303723057 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.1399421748746966000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1861995197125848 " "
Order of pole (three term test) = 22.035963644895357 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3899999999999386 " "
y[1] (analytic) = 1.9837008148112654 " "
y[1] (numeric) = 1.9837008148112232 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.1267559412566894000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1768821726506289 " "
Order of pole (three term test) = 22.03233270693965 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3999999999999386 " "
y[1] (analytic) = 1.9854497299884497 " "
y[1] (numeric) = 1.9854497299884075 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.1248825542413194000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16749407507801026 " "
Order of pole (three term test) = 22.028888829665693 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4099999999999386 " "
y[1] (analytic) = 1.9871001010138405 " "
y[1] (numeric) = 1.9871001010137983 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.1231177490369468000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1580389821085851 " "
Order of pole (three term test) = 22.025633390578463 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4199999999999386 " "
y[1] (analytic) = 1.9886517628517106 " "
y[1] (numeric) = 1.9886517628516684 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.1214611690112106000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1485206756534746 " "
Order of pole (three term test) = 22.02256769181021 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4299999999999387 " "
y[1] (analytic) = 1.9901045603371692 " "
y[1] (numeric) = 1.990104560337127 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.1199124798049934000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1389429629083523 " "
Order of pole (three term test) = 22.01969295959954 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4399999999999387 " "
y[1] (analytic) = 1.9914583481916783 " "
y[1] (numeric) = 1.9914583481916364 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.1073215198770326000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12930967483061453 " "
Order of pole (three term test) = 22.017010343801026 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4499999999999387 " "
y[1] (analytic) = 1.9927129910375811 " "
y[1] (numeric) = 1.992712991037539 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.1171375469273643000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11962466460705078 " "
Order of pole (three term test) = 22.01452091742522 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4599999999999387 " "
y[1] (analytic) = 1.993868363411638 " "
y[1] (numeric) = 1.993868363411596 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.115910744657623000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10989180611261826 " "
Order of pole (three term test) = 22.012225676209475 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4699999999999387 " "
y[1] (analytic) = 1.9949243497775746 " "
y[1] (numeric) = 1.9949243497775326 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.1036602383198133000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1001149923609453 " "
Order of pole (three term test) = 22.01012553821967 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4799999999999387 " "
y[1] (analytic) = 1.9958808445376346 " "
y[1] (numeric) = 1.9958808445375924 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.113777235310323200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.02981339471767200E-2 " "
Order of pole (three term test) = 22.00822134348301 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4899999999999387 " "
y[1] (analytic) = 1.9967377520431384 " "
y[1] (numeric) = 1.9967377520430964 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.101749730924317200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.04451574837884200E-2 " "
Order of pole (three term test) = 22.006513853652 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4999999999999387 " "
y[1] (analytic) = 1.9974949866040501 " "
y[1] (numeric) = 1.9974949866040081 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.100952974213879000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.05600040299942700E-2 " "
Order of pole (three term test) = 22.00500375169979 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5099999999999387 " "
y[1] (analytic) = 1.9981524724975444 " "
y[1] (numeric) = 1.9981524724975024 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.100261662133118000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.06466275153756800E-2 " "
Order of pole (three term test) = 22.003691641647034 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5199999999999387 " "
y[1] (analytic) = 1.99871014397558 " "
y[1] (numeric) = 1.998710143975538 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.0996756561887772000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.07089931583618800E-2 " "
Order of pole (three term test) = 22.002578048320274 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5299999999999387 " "
y[1] (analytic) = 1.9991679452714735 " "
y[1] (numeric) = 1.9991679452714315 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.0991948390375054000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.075107588019563600E-2 " "
Order of pole (three term test) = 22.001663417141984 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5399999999999388 " "
y[1] (analytic) = 1.999525830605477 " "
y[1] (numeric) = 1.999525830605435 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.0988191144358984000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.07768587150177500E-2 " "
Order of pole (three term test) = 22.000948113952433 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5499999999999388 " "
y[1] (analytic) = 1.9997837641893557 " "
y[1] (numeric) = 1.9997837641893137 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.0985484071995494000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.079033121670649500E-2 " "
Order of pole (three term test) = 22.000432424863362 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5599999999999388 " "
y[1] (analytic) = 1.9999417202299656 " "
y[1] (numeric) = 1.9999417202299237 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.0983826631710725000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.079548786310925600E-2 " "
Order of pole (three term test) = 22.000116556143535 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5699999999999388 " "
y[1] (analytic) = 1.9999996829318345 " "
y[1] (numeric) = 1.9999996829317925 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.0983218491970757000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.9632645830469830000E-4 " "
Order of pole (three term test) = 22.000000634136228 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5799999999999388 " "
y[1] (analytic) = 1.9999576464987405 " "
y[1] (numeric) = 1.9999576464986986 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.0983659531140644000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.203153466465633000E-3 " "
Order of pole (three term test) = 22.0000847052087 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5899999999999388 " "
y[1] (analytic) = 1.999815615134292 " "
y[1] (numeric) = 1.99981561513425 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.098514983743278000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.91989522525564620E-2 " "
Order of pole (three term test) = 22.000368735733634 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5999999999999388 " "
y[1] (analytic) = 1.999573603041507 " "
y[1] (numeric) = 1.999573603041465 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.0987689708944304000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.918707171372887400E-2 " "
Order of pole (three term test) = 22.000852612102623 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6099999999999388 " "
y[1] (analytic) = 1.999231634421393 " "
y[1] (numeric) = 1.999231634421351 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.09912796537839000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.91635167353715500E-2 " "
Order of pole (three term test) = 22.001536140771552 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6199999999999388 " "
y[1] (analytic) = 1.998789743470527 " "
y[1] (numeric) = 1.998789743470485 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.099592039028777800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.91242968724933670E-2 " "
Order of pole (three term test) = 22.002419048338083 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6299999999999388 " "
y[1] (analytic) = 1.998247974377636 " "
y[1] (numeric) = 1.998247974377594 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.10016128473252000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.90654279458480700E-2 " "
Order of pole (three term test) = 22.00350098165095 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6399999999999388 " "
y[1] (analytic) = 1.9976063813191778 " "
y[1] (numeric) = 1.9976063813191358 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.1008358164693666000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.89829336355529500E-2 " "
Order of pole (three term test) = 22.004781507951254 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6499999999999388 " "
y[1] (analytic) = 1.9968650284539238 " "
y[1] (numeric) = 1.9968650284538816 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.112735429515757000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.88728470715637900E-2 " "
Order of pole (three term test) = 22.006260115045553 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6599999999999389 " "
y[1] (analytic) = 1.9960239899165422 " "
y[1] (numeric) = 1.9960239899165 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.113625645226836000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.87312124203699500E-2 " "
Order of pole (three term test) = 22.007936211510728 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6699999999999389 " "
y[1] (analytic) = 1.9950833498101863 " "
y[1] (numeric) = 1.9950833498101441 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.114622175548194000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.85540864672750300E-2 " "
Order of pole (three term test) = 22.009809126930534 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6799999999999389 " "
y[1] (analytic) = 1.9940432021980827 " "
y[1] (numeric) = 1.9940432021980405 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.1157252204591434000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10833754019363018 " "
Order of pole (three term test) = 22.01187811216378 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6899999999999389 " "
y[1] (analytic) = 1.9929036510941258 " "
y[1] (numeric) = 1.9929036510940836 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.116935001478572000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11807766034838912 " "
Order of pole (three term test) = 22.014142339643954 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.699999999999939 " "
y[1] (analytic) = 1.9916648104524763 " "
y[1] (numeric) = 1.9916648104524344 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.1071030682766734000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1277705510133566 " "
Order of pole (three term test) = 22.016600903710252 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.709999999999939 " "
y[1] (analytic) = 1.9903268041561666 " "
y[1] (numeric) = 1.9903268041561244 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.1196757661937070000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13741233516150328 " "
Order of pole (three term test) = 22.019252820969832 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.719999999999939 " "
y[1] (analytic) = 1.9888897660047107 " "
y[1] (numeric) = 1.9888897660046685 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.1212073015240218000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14699915620772552 " "
Order of pole (three term test) = 22.022097030691146 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.729999999999939 " "
y[1] (analytic) = 1.987353839700726 " "
y[1] (numeric) = 1.987353839700684 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.111673799223927000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15652717955142723 " "
Order of pole (three term test) = 22.025132395228233 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.739999999999939 " "
y[1] (analytic) = 1.9857191788355637 " "
y[1] (numeric) = 1.9857191788355217 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.113412147000576800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16599259411030945 " "
Order of pole (three term test) = 22.02835770047574 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.749999999999939 " "
y[1] (analytic) = 1.9839859468739478 " "
y[1] (numeric) = 1.9839859468739058 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.1152584471152633000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17539161384475277 " "
Order of pole (three term test) = 22.031771656354575 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.759999999999939 " "
y[1] (analytic) = 1.98215431713763 " "
y[1] (numeric) = 1.982154317137588 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.117213073068569000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18472047927218185 " "
Order of pole (three term test) = 22.035372897327917 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.769999999999939 " "
y[1] (analytic) = 1.9802244727880576 " "
y[1] (numeric) = 1.9802244727880156 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.1192764208061865000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19397545897080903 " "
Order of pole (three term test) = 22.039159982947375 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.779999999999939 " "
y[1] (analytic) = 1.9781966068080572 " "
y[1] (numeric) = 1.9781966068080155 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 2.1102243114885855000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20315285107215258 " "
Order of pole (three term test) = 22.043131398429203 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.789999999999939 " "
y[1] (analytic) = 1.9760709219825374 " "
y[1] (numeric) = 1.9760709219824957 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 2.1124943068351457000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21224898474173592 " "
Order of pole (three term test) = 22.04728555526016 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.799999999999939 " "
y[1] (analytic) = 1.973847630878209 " "
y[1] (numeric) = 1.9738476308781672 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 2.1148737659822744000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2212602216473715 " "
Order of pole (three term test) = 22.0516207918329 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.809999999999939 " "
y[1] (analytic) = 1.9715269558223298 " "
y[1] (numeric) = 1.9715269558222879 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.1286257439643574000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23018295741444506 " "
Order of pole (three term test) = 22.056135374110603 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.819999999999939 " "
y[1] (analytic) = 1.9691091288804714 " "
y[1] (numeric) = 1.9691091288804294 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.1312394379427183000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23901362306761792 " "
Order of pole (three term test) = 22.06082749632053 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.829999999999939 " "
y[1] (analytic) = 1.966594391833313 " "
y[1] (numeric) = 1.9665943918332713 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 2.122673892453778000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24774868645836934 " "
Order of pole (three term test) = 22.065695281676387 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.839999999999939 " "
y[1] (analytic) = 1.9639829961524644 " "
y[1] (numeric) = 1.9639829961524224 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.1368021216601743000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25638465367780927 " "
Order of pole (three term test) = 22.07073678312892 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.849999999999939 " "
y[1] (analytic) = 1.9612752029753167 " "
y[1] (numeric) = 1.961275202975275 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 2.128430811880879000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2649180704541949 " "
Order of pole (three term test) = 22.075949984144764 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.859999999999939 " "
y[1] (analytic) = 1.9584712830789317 " "
y[1] (numeric) = 1.9584712830788897 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.142815710060097800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2733455235345924 " "
Order of pole (three term test) = 22.081332799513028 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.869999999999939 " "
y[1] (analytic) = 1.955571516852962 " "
y[1] (numeric) = 1.9555715168529202 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 2.134638665277953000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2816636420501348 " "
Order of pole (three term test) = 22.086883076179333 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.879999999999939 " "
y[1] (analytic) = 1.952576194271614 " "
y[1] (numeric) = 1.9525761942715723 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 2.137913278281984900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2898690988643218 " "
Order of pole (three term test) = 22.092598594107002 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.889999999999939 " "
y[1] (analytic) = 1.9494856148646496 " "
y[1] (numeric) = 1.949485614864608 " "
absolute error = 4.152234112098085500000000000000E-14 " "
relative error = 2.1299126705207158000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.29795861190383305 " "
Order of pole (three term test) = 22.098477067165103 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.899999999999939 " "
y[1] (analytic) = 1.9463000876874341 " "
y[1] (numeric) = 1.9463000876873926 " "
absolute error = 4.152234112098085500000000000000E-14 " "
relative error = 2.1333987180937294000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3059289454713113 " "
Order of pole (three term test) = 22.104516144042755 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.909999999999939 " "
y[1] (analytic) = 1.943019931290031 " "
y[1] (numeric) = 1.9430199312899892 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 2.148428075989447000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3137769115395995 " "
Order of pole (three term test) = 22.110713409189746 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.919999999999939 " "
y[1] (analytic) = 1.9396454736853457 " "
y[1] (numeric) = 1.9396454736853042 " "
absolute error = 4.152234112098085500000000000000E-14 " "
relative error = 2.1407180685493002000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32149937102690773 " "
Order of pole (three term test) = 22.117066383782646 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.929999999999939 " "
y[1] (analytic) = 1.9361770523163275 " "
y[1] (numeric) = 1.9361770523162858 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 2.156021097139095800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32909323505240684 " "
Order of pole (three term test) = 22.123572526716313 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.939999999999939 " "
y[1] (analytic) = 1.9326150140222225 " "
y[1] (numeric) = 1.9326150140221807 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 2.1599948992958550000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33655546617173593 " "
Order of pole (three term test) = 22.13022923562033 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9499999999999391 " "
y[1] (analytic) = 1.928959715003892 " "
y[1] (numeric) = 1.92895971500385 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.1755991068349628000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.34388307959194275 " "
Order of pole (three term test) = 22.137033847899886 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9599999999999391 " "
y[1] (analytic) = 1.9252115207881912 " "
y[1] (numeric) = 1.9252115207881495 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 2.1683012632718676000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3510731443653592 " "
Order of pole (three term test) = 22.143983641800805 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9699999999999391 " "
y[1] (analytic) = 1.921370806191419 " "
y[1] (numeric) = 1.9213708061913772 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 2.1726355782750997000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3581227845619428 " "
Order of pole (three term test) = 22.151075837498176 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9799999999999391 " "
y[1] (analytic) = 1.9174379552818341 " "
y[1] (numeric) = 1.9174379552817922 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.1886721400934453000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.36502918041960825 " "
Order of pole (three term test) = 22.15830759820828 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9899999999999392 " "
y[1] (analytic) = 1.91341336134125 " "
y[1] (numeric) = 1.913413361341208 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.193275701880414000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37178956947209685 " "
Order of pole (three term test) = 22.16567603132328 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9999999999999392 " "
y[1] (analytic) = 1.909297426825707 " "
y[1] (numeric) = 1.909297426825665 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.1980038175928407000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3784012476539243 " "
Order of pole (three term test) = 22.17317818956815 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.009999999999939 " "
y[1] (analytic) = 1.9050905633252269 " "
y[1] (numeric) = 1.905090563325185 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 2.2028574986787458000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38486157038197316 " "
Order of pole (three term test) = 22.180811072179626 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0199999999999387 " "
y[1] (analytic) = 1.900793191522654 " "
y[1] (numeric) = 1.9007931915226117 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.219519468183719000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39116795361328804 " "
Order of pole (three term test) = 22.18857162610643 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0299999999999385 " "
y[1] (analytic) = 1.896405741151587 " "
y[1] (numeric) = 1.896405741151545 " "
absolute error = 4.21884749357559500000000000000E-14 " "
relative error = 2.224654461873602800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39731787487866116 " "
Order of pole (three term test) = 22.196456747230474 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0399999999999383 " "
y[1] (analytic) = 1.8919286509534077 " "
y[1] (numeric) = 1.8919286509533653 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.241655335115775300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4033088742915839 " "
Order of pole (three term test) = 22.204463281608437 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.049999999999938 " "
y[1] (analytic) = 1.887362368633404 " "
y[1] (numeric) = 1.8873623686333616 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.2470787934269065000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4091385555321697 " "
Order of pole (three term test) = 22.212588026733314 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.059999999999938 " "
y[1] (analytic) = 1.8827073508160033 " "
y[1] (numeric) = 1.8827073508159609 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.2526347242602204000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4148045868056507 " "
Order of pole (three term test) = 22.220827732815394 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0699999999999377 " "
y[1] (analytic) = 1.877964062999108 " "
y[1] (numeric) = 1.8779640629990655 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 2.2583243405068892000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42030470177506357 " "
Order of pole (three term test) = 22.2291791040821 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0799999999999375 " "
y[1] (analytic) = 1.873132979507547 " "
y[1] (numeric) = 1.8731329795075045 " "
absolute error = 4.26325641456060100000000000000E-14 " "
relative error = 2.276003071432454200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4256367004677547 " "
Order of pole (three term test) = 22.237638800096278 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0899999999999372 " "
y[1] (analytic) = 1.8682145834456438 " "
y[1] (numeric) = 1.868214583445601 " "
absolute error = 4.28546087505310400000000000000E-14 " "
relative error = 2.2938804316307226000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4307984501553385 " "
Order of pole (three term test) = 22.246203437092312 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.099999999999937 " "
y[1] (analytic) = 1.8632093666489056 " "
y[1] (numeric) = 1.8632093666488627 " "
absolute error = 4.28546087505310400000000000000E-14 " "
relative error = 2.300042578017286200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4357878862067632 " "
Order of pole (three term test) = 22.254869589329598 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.109999999999937 " "
y[1] (analytic) = 1.8581178296348413 " "
y[1] (numeric) = 1.8581178296347984 " "
absolute error = 4.28546087505310400000000000000E-14 " "
relative error = 2.306345058803556000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44060301291413273 " "
Order of pole (three term test) = 22.26363379046279 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1199999999999366 " "
y[1] (analytic) = 1.8529404815529094 " "
y[1] (numeric) = 1.8529404815528663 " "
absolute error = 4.307665335545607400000000000000E-14 " "
relative error = 2.3247726402606556000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4452419042909654 " "
Order of pole (three term test) = 22.272492534928297 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1299999999999364 " "
y[1] (analytic) = 1.8476778401336036 " "
y[1] (numeric) = 1.8476778401335603 " "
absolute error = 4.329869796038110500000000000000E-14 " "
relative error = 2.343411660836405800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44970270484256125 " "
Order of pole (three term test) = 22.281442279346425 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.139999999999936 " "
y[1] (analytic) = 1.8423304316366802 " "
y[1] (numeric) = 1.842330431636637 " "
absolute error = 4.329869796038110500000000000000E-14 " "
relative error = 2.350213469682288800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45398363030817585 " "
Order of pole (three term test) = 22.29047944393876 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.149999999999936 " "
y[1] (analytic) = 1.8368987907985328 " "
y[1] (numeric) = 1.8368987907984895 " "
absolute error = 4.329869796038110500000000000000E-14 " "
relative error = 2.357162962775885000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4580829683747019 " "
Order of pole (three term test) = 22.299600413959958 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1599999999999357 " "
y[1] (analytic) = 1.831383460778719 " "
y[1] (numeric) = 1.8313834607786754 " "
absolute error = 4.352074256530613600000000000000E-14 " "
relative error = 2.3763861308871256000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4619990793615694 " "
Order of pole (three term test) = 22.3088015411436 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1699999999999355 " "
y[1] (analytic) = 1.8257849931056445 " "
y[1] (numeric) = 1.8257849931056007 " "
absolute error = 4.37427871702311700000000000000E-14 " "
relative error = 2.3958345224332833000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4657303968765979 " "
Order of pole (three term test) = 22.31807914516151 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1799999999999353 " "
y[1] (analytic) = 1.8201039476214111 " "
y[1] (numeric) = 1.8201039476213674 " "
absolute error = 4.37427871702311700000000000000E-14 " "
relative error = 2.4033125815366804000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46927542844253156 " "
Order of pole (three term test) = 22.327429515095776 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.189999999999935 " "
y[1] (analytic) = 1.8143408924258337 " "
y[1] (numeric) = 1.8143408924257896 " "
absolute error = 4.41868763800812300000000000000E-14 " "
relative error = 2.43542305442953000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4726327560940106 " "
Order of pole (three term test) = 22.336848910923102 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.199999999999935 " "
y[1] (analytic) = 1.8084964038196285 " "
y[1] (numeric) = 1.8084964038195843 " "
absolute error = 4.41868763800812300000000000000E-14 " "
relative error = 2.4432935717625143000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4758010369447381 " "
Order of pole (three term test) = 22.34633356501073 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2099999999999347 " "
y[1] (analytic) = 1.8025710662467862 " "
y[1] (numeric) = 1.802571066246742 " "
absolute error = 4.41868763800812300000000000000E-14 " "
relative error = 2.4513250660394045000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4787790037246169 " "
Order of pole (three term test) = 22.355879683623503 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2199999999999345 " "
y[1] (analytic) = 1.7965654722361264 " "
y[1] (numeric) = 1.796565472236082 " "
absolute error = 4.44089209850062600000000000000E-14 " "
relative error = 2.4718787971435255000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4815654652866408 " "
Order of pole (three term test) = 22.36548344844124 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2299999999999343 " "
y[1] (analytic) = 1.790480222342045 " "
y[1] (numeric) = 1.7904802223420007 " "
absolute error = 4.44089209850062600000000000000E-14 " "
relative error = 2.4802798953521524000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48415930708333704 " "
Order of pole (three term test) = 22.375141018086065 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.239999999999934 " "
y[1] (analytic) = 1.784315925084461 " "
y[1] (numeric) = 1.7843159250844165 " "
absolute error = 4.44089209850062600000000000000E-14 " "
relative error = 2.4888485475409386000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48655949161257167 " "
Order of pole (three term test) = 22.384848529658907 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.249999999999934 " "
y[1] (analytic) = 1.7780731968879628 " "
y[1] (numeric) = 1.7780731968879182 " "
absolute error = 4.46309655899312930000000000000E-14 " "
relative error = 2.510074707163111000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4887650588325346 " "
Order of pole (three term test) = 22.394602100284548 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2599999999999336 " "
y[1] (analytic) = 1.771752662020168 " "
y[1] (numeric) = 1.7717526620201234 " "
absolute error = 4.46309655899312930000000000000E-14 " "
relative error = 2.519029125602818000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49077512654574507 " "
Order of pole (three term test) = 22.404397828664784 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2699999999999334 " "
y[1] (analytic) = 1.7653549525292964 " "
y[1] (numeric) = 1.7653549525292516 " "
absolute error = 4.485301019485632400000000000000E-14 " "
relative error = 2.540736078633568000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4925888907519184 " "
Order of pole (three term test) = 22.414231796638884 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.279999999999933 " "
y[1] (analytic) = 1.7588807081809654 " "
y[1] (numeric) = 1.7588807081809206 " "
absolute error = 4.485301019485632400000000000000E-14 " "
relative error = 2.550088245680022000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49420562596955514 " "
Order of pole (three term test) = 22.424100070750757 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.289999999999933 " "
y[1] (analytic) = 1.7523305763942147 " "
y[1] (numeric) = 1.75233057639417 " "
absolute error = 4.485301019485632400000000000000E-14 " "
relative error = 2.5596203592561134000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49562468552612465 " "
Order of pole (three term test) = 22.433998703822347 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2999999999999328 " "
y[1] (analytic) = 1.745705212176765 " "
y[1] (numeric) = 1.7457052121767198 " "
absolute error = 4.52970994047063870000000000000E-14 " "
relative error = 2.5947736816472156000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49684550181672466 " "
Order of pole (three term test) = 22.44392373653241 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3099999999999326 " "
y[1] (analytic) = 1.7390052780595164 " "
y[1] (numeric) = 1.739005278059471 " "
absolute error = 4.55191440096314200000000000000E-14 " "
relative error = 2.6175391520619384000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4978675865311164 " "
Order of pole (three term test) = 22.453871199000176 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3199999999999323 " "
y[1] (analytic) = 1.7322314440302975 " "
y[1] (numeric) = 1.7322314440302518 " "
absolute error = 4.57411886145564500000000000000E-14 " "
relative error = 2.640593367138786000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4986905308490417 " "
Order of pole (three term test) = 22.463837112373305 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.329999999999932 " "
y[1] (analytic) = 1.7253843874668662 " "
y[1] (numeric) = 1.7253843874668204 " "
absolute error = 4.57411886145564500000000000000E-14 " "
relative error = 2.651072360850074700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4993140056037458 " "
Order of pole (three term test) = 22.473817490419318 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.339999999999932 " "
y[1] (analytic) = 1.7184647930691734 " "
y[1] (numeric) = 1.7184647930691275 " "
absolute error = 4.59632332194814800000000000000E-14 " "
relative error = 2.6746683088800016000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4997377614136398 " "
Order of pole (three term test) = 22.483808341120074 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3499999999999317 " "
y[1] (analytic) = 1.7114733527908923 " "
y[1] (numeric) = 1.7114733527908463 " "
absolute error = 4.59632332194814800000000000000E-14 " "
relative error = 2.685594440867539000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4999616287820496 " "
Order of pole (three term test) = 22.493805668268486 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3599999999999315 " "
y[1] (analytic) = 1.7044107657702248 " "
y[1] (numeric) = 1.7044107657701786 " "
absolute error = 4.61852778244065100000000000000E-14 " "
relative error = 2.7097504165045183000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4999855181650128 " "
Order of pole (three term test) = 22.503805473067004 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3699999999999313 " "
y[1] (analytic) = 1.697277738259987 " "
y[1] (numeric) = 1.6972777382599407 " "
absolute error = 4.640732242933154300000000000000E-14 " "
relative error = 2.7342208869661690000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49980942000709466 " "
Order of pole (three term test) = 22.51380375572704 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.379999999999931 " "
y[1] (analytic) = 1.6900749835569862 " "
y[1] (numeric) = 1.6900749835569397 " "
absolute error = 4.640732242933154300000000000000E-14 " "
relative error = 2.7458735784409516000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49943340474521036 " "
Order of pole (three term test) = 22.523796517068824 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.389999999999931 " "
y[1] (analytic) = 1.6828032219306903 " "
y[1] (numeric) = 1.6828032219306437 " "
absolute error = 4.662936703425657500000000000000E-14 " "
relative error = 2.770934024048184500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4988576227804513 " "
Order of pole (three term test) = 22.533779760121067 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3999999999999306 " "
y[1] (analytic) = 1.6754631805512021 " "
y[1] (numeric) = 1.6754631805511553 " "
absolute error = 4.685141163918160600000000000000E-14 " "
relative error = 2.7963259463432794000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4980823044179264 " "
Order of pole (three term test) = 22.54374949171965 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4099999999999304 " "
y[1] (analytic) = 1.6680555934165429 " "
y[1] (numeric) = 1.6680555934164958 " "
absolute error = 4.70734562441066400000000000000E-14 " "
relative error = 2.8220555975409606000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4971077597746432 " "
Order of pole (three term test) = 22.55370172410487 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.41999999999993 " "
y[1] (analytic) = 1.6605812012792531 " "
y[1] (numeric) = 1.6605812012792058 " "
absolute error = 4.72955008490316700000000000000E-14 " "
relative error = 2.848129366549307400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49593437865546514 " "
Order of pole (three term test) = 22.563632476516457 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.42999999999993 " "
y[1] (analytic) = 1.653040751572318 " "
y[1] (numeric) = 1.6530407515722705 " "
absolute error = 4.7517545453956700000000000000E-14 " "
relative error = 2.8745537827037580000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4945626303971953 " "
Order of pole (three term test) = 22.573537776785866 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.43999999999993 " "
y[1] (analytic) = 1.6454349983344243 " "
y[1] (numeric) = 1.6454349983343768 " "
absolute error = 4.7517545453956700000000000000E-14 " "
relative error = 2.887840935804567000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4929930636808469 " "
Order of pole (three term test) = 22.583413662925043 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4499999999999296 " "
y[1] (analytic) = 1.637764702134558 " "
y[1] (numeric) = 1.6377647021345103 " "
absolute error = 4.77395900588817300000000000000E-14 " "
relative error = 2.914923614891748000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49122630631217934 " "
Order of pole (three term test) = 22.593256184711215 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4599999999999294 " "
y[1] (analytic) = 1.630030629995947 " "
y[1] (numeric) = 1.630030629995899 " "
absolute error = 4.79616346638067600000000000000E-14 " "
relative error = 2.9423762830718103000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48926306497058386 " "
Order of pole (three term test) = 22.60306140526691 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.469999999999929 " "
y[1] (analytic) = 1.6222335553193603 " "
y[1] (numeric) = 1.6222335553193121 " "
absolute error = 4.818367926873179400000000000000E-14 " "
relative error = 2.9702060539147296000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48710412492642063 " "
Order of pole (three term test) = 22.612825402634634 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.479999999999929 " "
y[1] (analytic) = 1.6143742578057678 " "
y[1] (numeric) = 1.6143742578057194 " "
absolute error = 4.840572387365682500000000000000E-14 " "
relative error = 2.9984202014871775000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4847503497269219 " "
Order of pole (three term test) = 22.62254427134561 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4899999999999287 " "
y[1] (analytic) = 1.6064535233783714 " "
y[1] (numeric) = 1.606453523378323 " "
absolute error = 4.840572387365682500000000000000E-14 " "
relative error = 3.0132041275529464000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4822026808507844 " "
Order of pole (three term test) = 22.63221412398196 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4999999999999285 " "
y[1] (analytic) = 1.5984721441040137 " "
y[1] (numeric) = 1.598472144103965 " "
absolute error = 4.862776847858185600000000000000E-14 " "
relative error = 3.04214050009855000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4794621373315895 " "
Order of pole (three term test) = 22.64183109273154 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5099999999999283 " "
y[1] (analytic) = 1.5904309181139706 " "
y[1] (numeric) = 1.5904309181139218 " "
absolute error = 4.88498130835068900000000000000E-14 " "
relative error = 3.071482862106073000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47652981535020544 " "
Order of pole (three term test) = 22.651391330935095 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.519999999999928 " "
y[1] (analytic) = 1.5823306495241405 " "
y[1] (numeric) = 1.5823306495240912 " "
absolute error = 4.92939022933569500000000000000E-14 " "
relative error = 3.1152719128698714000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47340688779632767 " "
Order of pole (three term test) = 22.6608910146248 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.529999999999928 " "
y[1] (analytic) = 1.5741721483546316 " "
y[1] (numeric) = 1.5741721483545823 " "
absolute error = 4.92939022933569500000000000000E-14 " "
relative error = 3.1314175101420966000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4700946037993389 " "
Order of pole (three term test) = 22.670326344053827 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5399999999999276 " "
y[1] (analytic) = 1.5659562304487624 " "
y[1] (numeric) = 1.5659562304487131 " "
absolute error = 4.92939022933569500000000000000E-14 " "
relative error = 3.147846749154068000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46659428822867477 " "
Order of pole (three term test) = 22.679693545216228 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5499999999999274 " "
y[1] (analytic) = 1.5576837173914773 " "
y[1] (numeric) = 1.5576837173914275 " "
absolute error = 4.97379915032070130000000000000E-14 " "
relative error = 3.1930738536895714000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4629073411638936 " "
Order of pole (three term test) = 22.688988871356425 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5599999999999272 " "
y[1] (analytic) = 1.5493554364271875 " "
y[1] (numeric) = 1.5493554364271378 " "
absolute error = 4.97379915032070130000000000000E-14 " "
relative error = 3.2102376468180077000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4590352373346623 " "
Order of pole (three term test) = 22.698208604467894 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.569999999999927 " "
y[1] (analytic) = 1.54097222037705 " "
y[1] (numeric) = 1.540972220377 " "
absolute error = 4.996003610813204400000000000000E-14 " "
relative error = 3.2421114052210276000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4549795255308855 " "
Order of pole (three term test) = 22.707349056780327 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.579999999999927 " "
y[1] (analytic) = 1.5325349075556831 " "
y[1] (numeric) = 1.5325349075556332 " "
absolute error = 4.996003610813204400000000000000E-14 " "
relative error = 3.259960726624871000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.450741827983209 " "
Order of pole (three term test) = 22.716406572234657 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5899999999999266 " "
y[1] (analytic) = 1.5240443416873384 " "
y[1] (numeric) = 1.5240443416872884 " "
absolute error = 4.996003610813204400000000000000E-14 " "
relative error = 3.278122213479630600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4463238397141503 " "
Order of pole (three term test) = 22.725377527945486 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5999999999999264 " "
y[1] (analytic) = 1.5155013718215273 " "
y[1] (numeric) = 1.515501371821477 " "
absolute error = 5.04041253179821100000000000000E-14 " "
relative error = 3.3259043017163260000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44172732786011104 " "
Order of pole (three term test) = 22.73425833565012 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.609999999999926 " "
y[1] (analytic) = 1.506906852248117 " "
y[1] (numeric) = 1.5069068522480664 " "
absolute error = 5.06261699229071400000000000000E-14 " "
relative error = 3.3596084487491185000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43695413096454705 " "
Order of pole (three term test) = 22.743045443143913 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.619999999999926 " "
y[1] (analytic) = 1.4982616424119028 " "
y[1] (numeric) = 1.498261642411852 " "
absolute error = 5.08482145278321700000000000000E-14 " "
relative error = 3.39381407682417000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4320061582425746 " "
Order of pole (three term test) = 22.751735335700992 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6299999999999257 " "
y[1] (analytic) = 1.4895666068266642 " "
y[1] (numeric) = 1.4895666068266131 " "
absolute error = 5.1070259132757200000000000000E-14 " "
relative error = 3.4285314197232180000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42688538881731025 " "
Order of pole (three term test) = 22.760324537480223 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6399999999999255 " "
y[1] (analytic) = 1.4808226149887136 " "
y[1] (numeric) = 1.4808226149886623 " "
absolute error = 5.12923037376822300000000000000E-14 " "
relative error = 3.463770962065782000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4215938709282485 " "
Order of pole (three term test) = 22.768809612915415 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6499999999999253 " "
y[1] (analytic) = 1.4720305412899484 " "
y[1] (numeric) = 1.4720305412898969 " "
absolute error = 5.151434834260726000000000000000E-14 " "
relative error = 3.499543446800021000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.416133721111992 " "
Order of pole (three term test) = 22.777187168089515 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.659999999999925 " "
y[1] (analytic) = 1.4631912649304117 " "
y[1] (numeric) = 1.46319126493036 " "
absolute error = 5.173639294753230000000000000000E-14 " "
relative error = 3.5358598829519966000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4105071233556663 " "
Order of pole (three term test) = 22.78545385209216 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.669999999999925 " "
y[1] (analytic) = 1.4543056698303733 " "
y[1] (numeric) = 1.4543056698303214 " "
absolute error = 5.195843755245733000000000000000E-14 " "
relative error = 3.572731553643577000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4047163282233537 " "
Order of pole (three term test) = 22.793606358359977 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6799999999999247 " "
y[1] (analytic) = 1.4453746445419386 " "
y[1] (numeric) = 1.4453746445418867 " "
absolute error = 5.195843755245733000000000000000E-14 " "
relative error = 3.5948075987540070000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3987636519558978 " "
Order of pole (three term test) = 22.80164142599914 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6899999999999245 " "
y[1] (analytic) = 1.4363990821601942 " "
y[1] (numeric) = 1.436399082160142 " "
absolute error = 5.21804821573823600000000000000E-14 " "
relative error = 3.632728731551984000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3926514755444371 " "
Order of pole (three term test) = 22.80955584108974 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6999999999999242 " "
y[1] (analytic) = 1.4273798802338984 " "
y[1] (numeric) = 1.427379880233846 " "
absolute error = 5.24025267623073900000000000000E-14 " "
relative error = 3.671238994465889000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38638224377804176 " "
Order of pole (three term test) = 22.81734643797126 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.709999999999924 " "
y[1] (analytic) = 1.418317940675728 " "
y[1] (numeric) = 1.4183179406756754 " "
absolute error = 5.26245713672324200000000000000E-14 " "
relative error = 3.710350821774174300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3799584642658298 " "
Order of pole (three term test) = 22.825010100508816 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.719999999999924 " "
y[1] (analytic) = 1.409214169672087 " "
y[1] (numeric) = 1.4092141696720342 " "
absolute error = 5.28466159721574500000000000000E-14 " "
relative error = 3.7500769655512645000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.373382706433957 " "
Order of pole (three term test) = 22.832543763339586 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7299999999999236 " "
y[1] (analytic) = 1.4000694775924896 " "
y[1] (numeric) = 1.4000694775924365 " "
absolute error = 5.30686605770824800000000000000E-14 " "
relative error = 3.790430505515875500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3666576004978801 " "
Order of pole (three term test) = 22.839944413098873 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7399999999999234 " "
y[1] (analytic) = 1.3908847788985228 " "
y[1] (numeric) = 1.3908847788984697 " "
absolute error = 5.30686605770824800000000000000E-14 " "
relative error = 3.815460588986308000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35978583641030726 " "
Order of pole (three term test) = 22.84720908962545 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.749999999999923 " "
y[1] (analytic) = 1.3816609920524028 " "
y[1] (numeric) = 1.3816609920523493 " "
absolute error = 5.351274978693255000000000000000E-14 " "
relative error = 3.873073792684952300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3527701627852504 " "
Order of pole (three term test) = 22.854334887145573 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.759999999999923 " "
y[1] (analytic) = 1.372399039425127 " "
y[1] (numeric) = 1.3723990394250734 " "
absolute error = 5.373479439185758000000000000000E-14 " "
relative error = 3.915391431224413000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.34561338579861894 " "
Order of pole (three term test) = 22.86131895543524 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7699999999999227 " "
y[1] (analytic) = 1.3630998472042404 " "
y[1] (numeric) = 1.3630998472041864 " "
absolute error = 5.39568389967826100000000000000E-14 " "
relative error = 3.958392270929363000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33831836806578536 " "
Order of pole (three term test) = 22.868158500960263 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7799999999999225 " "
y[1] (analytic) = 1.3537643453012154 " "
y[1] (numeric) = 1.3537643453011612 " "
absolute error = 5.41788836017076400000000000000E-14 " "
relative error = 4.002091190372776000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3308880274965768 " "
Order of pole (three term test) = 22.8748507879936 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7899999999999223 " "
y[1] (analytic) = 1.344393467258463 " "
y[1] (numeric) = 1.3443934672584086 " "
absolute error = 5.44009282066326700000000000000E-14 " "
relative error = 4.046503462826925300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.323325336128151 " "
Order of pole (three term test) = 22.881393139709697 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.799999999999922 " "
y[1] (analytic) = 1.3349881501559784 " "
y[1] (numeric) = 1.3349881501559238 " "
absolute error = 5.4622972811557700000000000000E-14 " "
relative error = 4.091644768919905400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31563331893622126 " "
Order of pole (three term test) = 22.887782939255075 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.809999999999922 " "
y[1] (analytic) = 1.325549334517634 " "
y[1] (numeric) = 1.325549334517579 " "
absolute error = 5.48450174164827300000000000000E-14 " "
relative error = 4.1375312097637457000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3078150526251047 " "
Order of pole (three term test) = 22.894017630795123 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8199999999999217 " "
y[1] (analytic) = 1.3160779642171279 " "
y[1] (numeric) = 1.316077964217073 " "
absolute error = 5.48450174164827300000000000000E-14 " "
relative error = 4.167307629765492000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2998736643970846 " "
Order of pole (three term test) = 22.90009472053636 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8299999999999215 " "
y[1] (analytic) = 1.3065749863835978 " "
y[1] (numeric) = 1.3065749863835425 " "
absolute error = 5.528910662633280000000000000000E-14 " "
relative error = 4.231606084803804000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2918123307015675 " "
Order of pole (three term test) = 22.906011777723897 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8399999999999213 " "
y[1] (analytic) = 1.2970413513069075 " "
y[1] (numeric) = 1.297041351306852 " "
absolute error = 5.55111512312578300000000000000E-14 " "
relative error = 4.279828948809104600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28363427596454915 " "
Order of pole (three term test) = 22.911766435613767 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.849999999999921 " "
y[1] (analytic) = 1.2874780123426202 " "
y[1] (numeric) = 1.2874780123425644 " "
absolute error = 5.57331958361828600000000000000E-14 " "
relative error = 4.3288658370774014000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2753427712988848 " "
Order of pole (three term test) = 22.91735639241953 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.859999999999921 " "
y[1] (analytic) = 1.2778859258166628 " "
y[1] (numeric) = 1.2778859258166069 " "
absolute error = 5.59552404411078900000000000000E-14 " "
relative error = 4.378735168035315000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.266941133195889 " "
Order of pole (three term test) = 22.922779412233023 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8699999999999206 " "
y[1] (analytic) = 1.2682660509296946 " "
y[1] (numeric) = 1.2682660509296384 " "
absolute error = 5.61772850460329200000000000000E-14 " "
relative error = 4.429455870466021000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2584327221987825 " "
Order of pole (three term test) = 22.928033325918587 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8799999999999204 " "
y[1] (analytic) = 1.2586193496611875 " "
y[1] (numeric) = 1.2586193496611313 " "
absolute error = 5.61772850460329200000000000000E-14 " "
relative error = 4.4634054816617500000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24982094155852014 " "
Order of pole (three term test) = 22.933116031980827 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.88999999999992 " "
y[1] (analytic) = 1.24894678667323 " "
y[1] (numeric) = 1.2489467866731736 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 4.515751211561752000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24110923587253588 " "
Order of pole (three term test) = 22.93802549740508 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.89999999999992 " "
y[1] (analytic) = 1.23924932921406 " "
y[1] (numeric) = 1.2392493292140034 " "
absolute error = 5.662137425588298000000000000000E-14 " "
relative error = 4.569005842576701600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23230108970694952 " "
Order of pole (three term test) = 22.942759758470622 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9099999999999198 " "
y[1] (analytic) = 1.2295279470213425 " "
y[1] (numeric) = 1.2295279470212856 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 4.6231904690346426000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2234000262027869 " "
Order of pole (three term test) = 22.947316921536164 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9199999999999195 " "
y[1] (analytic) = 1.2197836122251953 " "
y[1] (numeric) = 1.2197836122251384 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 4.66012318013612040000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21440960566677048 " "
Order of pole (three term test) = 22.951695163797243 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9299999999999193 " "
y[1] (analytic) = 1.2100172992509781 " "
y[1] (numeric) = 1.210017299250921 " "
absolute error = 5.70654634657330500000000000000E-14 " "
relative error = 4.7160865800065477000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.205333424147244 " "
Order of pole (three term test) = 22.955892734015325 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.939999999999919 " "
y[1] (analytic) = 1.2002299847218496 " "
y[1] (numeric) = 1.2002299847217923 " "
absolute error = 5.72875080706580800000000000000E-14 " "
relative error = 4.773044233179553000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1961751119958013 " "
Order of pole (three term test) = 22.959907953218284 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.949999999999919 " "
y[1] (analytic) = 1.1904226473611068 " "
y[1] (numeric) = 1.1904226473610493 " "
absolute error = 5.75095526755831100000000000000E-14 " "
relative error = 4.831019705738005000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18693833241519345 " "
Order of pole (three term test) = 22.963739215371984 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9599999999999187 " "
y[1] (analytic) = 1.180596267894313 " "
y[1] (numeric) = 1.1805962678942552 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 4.890037250708662600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1776267799940973 " "
Order of pole (three term test) = 22.96738498802264 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9699999999999185 " "
y[1] (analytic) = 1.1707518289512258 " "
y[1] (numeric) = 1.170751828951168 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 4.931155848137759000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16824417922932905 " "
Order of pole (three term test) = 22.970843812909806 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9799999999999183 " "
y[1] (analytic) = 1.1608903149675365 " "
y[1] (numeric) = 1.1608903149674783 " "
absolute error = 5.8175686490358200000000000000E-14 " "
relative error = 5.011299150340921000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15879428303609489 " "
Order of pole (three term test) = 22.974114306549648 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.989999999999918 " "
y[1] (analytic) = 1.151012712086425 " "
y[1] (numeric) = 1.1510127120863667 " "
absolute error = 5.83977310952832300000000000000E-14 " "
relative error = 5.073595667716515000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14928087124687517 " "
Order of pole (three term test) = 22.9771951607883 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.999999999999918 " "
y[1] (analytic) = 1.1411200080599486 " "
y[1] (numeric) = 1.14112000805989 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 5.1370386362666140000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13970774909954184 " "
Order of pole (three term test) = 22.98008514332516 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0099999999999176 " "
y[1] (analytic) = 1.1312131921502657 " "
y[1] (numeric) = 1.1312131921502069 " "
absolute error = 5.8841820305133300000000000000E-14 " "
relative error = 5.201656125781550000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1300787457153138 " "
Order of pole (three term test) = 22.98278309820574 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0199999999999174 " "
y[1] (analytic) = 1.1212932550307118 " "
y[1] (numeric) = 1.1212932550306527 " "
absolute error = 5.90638649100583300000000000000E-14 " "
relative error = 5.267477053399433000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12039771256715971 " "
Order of pole (three term test) = 22.985287946284057 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.029999999999917 " "
y[1] (analytic) = 1.111361188686732 " "
y[1] (numeric) = 1.1113611886866728 " "
absolute error = 5.92859095149833600000000000000E-14 " "
relative error = 5.334531214378653000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11066852193926029 " "
Order of pole (three term test) = 22.98759868565428 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.039999999999917 " "
y[1] (analytic) = 1.1014179863166844 " "
y[1] (numeric) = 1.101417986316625 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 5.402849314174756000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10089506537814581 " "
Order of pole (three term test) = 22.989714392051464 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0499999999999168 " "
y[1] (analytic) = 1.0914646422325198 " "
y[1] (numeric) = 1.09146464223246 " "
absolute error = 5.97299987248334200000000000000E-14 " "
relative error = 5.47246300188521000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.10812521361295600E-2 " "
Order of pole (three term test) = 22.99163421922128 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0599999999999166 " "
y[1] (analytic) = 1.0815021517603522 " "
y[1] (numeric) = 1.0815021517602923 " "
absolute error = 5.99520433297584500000000000000E-14 " "
relative error = 5.543404905128945000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.12310076076594700E-2 " "
Order of pole (three term test) = 22.993357399258432 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0699999999999164 " "
y[1] (analytic) = 1.071531511140927 " "
y[1] (numeric) = 1.0715315111408668 " "
absolute error = 6.01740879346834800000000000000E-14 " "
relative error = 5.615708666431316000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.13482717592119200E-2 " "
Order of pole (three term test) = 22.994883242913904 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.079999999999916 " "
y[1] (analytic) = 1.061553717429997 " "
y[1] (numeric) = 1.0615537174299365 " "
absolute error = 6.03961325396085200000000000000E-14 " "
relative error = 5.689408981189054000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.1436997553358300E-2 " "
Order of pole (three term test) = 22.996211139870546 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.089999999999916 " "
y[1] (analytic) = 1.0515697683986185 " "
y[1] (numeric) = 1.0515697683985579 " "
absolute error = 6.06181771445335500000000000000E-14 " "
relative error = 5.764541637293915000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.1501149367632490E-2 " "
Order of pole (three term test) = 22.997340558987307 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0999999999999157 " "
y[1] (analytic) = 1.0415806624333748 " "
y[1] (numeric) = 1.041580662433314 " "
absolute error = 6.08402217494585800000000000000E-14 " "
relative error = 5.841143556498224000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.154470140883228500E-2 " "
Order of pole (three term test) = 22.998271048511608 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1099999999999155 " "
y[1] (analytic) = 1.0315873984365382 " "
y[1] (numeric) = 1.0315873984364772 " "
absolute error = 6.10622663543836100000000000000E-14 " "
relative error = 5.919252837610159000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.157163612339059500E-2 " "
Order of pole (three term test) = 22.999002236260004 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1199999999999153 " "
y[1] (analytic) = 1.0215909757261807 " "
y[1] (numeric) = 1.0215909757261195 " "
absolute error = 6.12843109593086400000000000000E-14 " "
relative error = 5.998908801611694000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.158594260444906800E-2 " "
Order of pole (three term test) = 22.99953382976719 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.129999999999915 " "
y[1] (analytic) = 1.011592393936243 " "
y[1] (numeric) = 1.0115923939361815 " "
absolute error = 6.15063555642336700000000000000E-14 " "
relative error = 6.080152038797376000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.159161499627453200E-2 " "
Order of pole (three term test) = 22.999865616402825 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.139999999999915 " "
y[1] (analytic) = 1.0015926529165722 " "
y[1] (numeric) = 1.0015926529165102 " "
absolute error = 6.19504447740837300000000000000E-14 " "
relative error = 6.185193610764625000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5926508966542600000E-3 " "
Order of pole (three term test) = 22.999997463456683 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1499999999999146 " "
y[1] (analytic) = 0.9915927526329367 " "
y[1] (numeric) = 0.9915927526328746 " "
absolute error = 6.20614670765462500000000000000E-14 " "
relative error = 6.2587656990994460000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.406950242089604000E-3 " "
Order of pole (three term test) = 22.999929318191707 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1599999999999144 " "
y[1] (analytic) = 0.9815936930670319 " "
y[1] (numeric) = 0.9815936930669696 " "
absolute error = 6.22835116814712800000000000000E-14 " "
relative error = 6.3451417955695850000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.840318871282781400E-2 " "
Order of pole (three term test) = 22.99966120786509 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.169999999999914 " "
y[1] (analytic) = 0.9715964741164819 " "
y[1] (numeric) = 0.9715964741164195 " "
absolute error = 6.2394533983933800000000000000E-14 " "
relative error = 6.421856773479142000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.83920661534534700E-2 " "
Order of pole (three term test) = 22.999193239717385 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.179999999999914 " "
y[1] (analytic) = 0.9616020954948508 " "
y[1] (numeric) = 0.961602095494788 " "
absolute error = 6.27276008913213400000000000000E-14 " "
relative error = 6.523238789225084000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.83695871461735670E-2 " "
Order of pole (three term test) = 22.998525600929618 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.189999999999914 " "
y[1] (analytic) = 0.9516115566316719 " "
y[1] (numeric) = 0.951611556631609 " "
absolute error = 6.28386231937838600000000000000E-14 " "
relative error = 6.603390086623969000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.83317608156228700E-2 " "
Order of pole (three term test) = 22.997658558548387 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1999999999999136 " "
y[1] (analytic) = 0.9416258565725064 " "
y[1] (numeric) = 0.9416258565724432 " "
absolute error = 6.31716901011714100000000000000E-14 " "
relative error = 6.708788810357726000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.8274602425160790E-2 " "
Order of pole (three term test) = 22.9965924593791 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2099999999999134 " "
y[1] (analytic) = 0.9316459938790386 " "
y[1] (numeric) = 0.9316459938789753 " "
absolute error = 6.32827124036339200000000000000E-14 " "
relative error = 6.792570656601815000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.81941349707130700E-2 " "
Order of pole (three term test) = 22.995327729847222 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.219999999999913 " "
y[1] (analytic) = 0.9216729665292215 " "
y[1] (numeric) = 0.921672966529158 " "
absolute error = 6.35047570085589500000000000000E-14 " "
relative error = 6.8901616207428970000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.80863907715199600E-2 " "
Order of pole (three term test) = 22.99386487582767 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.229999999999913 " "
y[1] (analytic) = 0.9117077718174791 " "
y[1] (numeric) = 0.9117077718174154 " "
absolute error = 6.37268016134839900000000000000E-14 " "
relative error = 6.989827616193873000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.79474130571562700E-2 " "
Order of pole (three term test) = 22.99220448244256 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2399999999999127 " "
y[1] (analytic) = 0.9017514062549784 " "
y[1] (numeric) = 0.9017514062549145 " "
absolute error = 6.39488462184090200000000000000E-14 " "
relative error = 7.091627002168145000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.77732575501862900E-2 " "
Order of pole (three term test) = 22.990347213827125 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2499999999999125 " "
y[1] (analytic) = 0.8918048654699786 " "
y[1] (numeric) = 0.8918048654699144 " "
absolute error = 6.41708908233340500000000000000E-14 " "
relative error = 7.195620175218059000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10755999404382233 " "
Order of pole (three term test) = 22.988293812864033 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2599999999999123 " "
y[1] (analytic) = 0.8818691441082696 " "
y[1] (numeric) = 0.8818691441082052 " "
absolute error = 6.43929354282590800000000000000E-14 " "
relative error = 7.301869654751565000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11730370797395497 " "
Order of pole (three term test) = 22.986045100886287 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.269999999999912 " "
y[1] (analytic) = 0.8719452357337075 " "
y[1] (numeric) = 0.871945235733643 " "
absolute error = 6.4503957730721600000000000000E-14 " "
relative error = 7.397707457675832000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1270005019849265 " "
Order of pole (three term test) = 22.983601977348712 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.279999999999912 " "
y[1] (analytic) = 0.8620341327288602 " "
y[1] (numeric) = 0.8620341327287955 " "
absolute error = 6.47260023356466300000000000000E-14 " "
relative error = 7.508519660439619000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1366464974884216 " "
Order of pole (three term test) = 22.980965419468124 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2899999999999117 " "
y[1] (analytic) = 0.8521368261957689 " "
y[1] (numeric) = 0.852136826195704 " "
absolute error = 6.49480469405716600000000000000E-14 " "
relative error = 7.621786190196944000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1462378362148503 " "
Order of pole (three term test) = 22.978136481832543 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2999999999999114 " "
y[1] (analytic) = 0.842254305856839 " "
y[1] (numeric) = 0.842254305856774 " "
absolute error = 6.50590692430341700000000000000E-14 " "
relative error = 7.724397345389469000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15577068175660497 " "
Order of pole (three term test) = 22.975116295979298 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3099999999999112 " "
y[1] (analytic) = 0.8323875599558692 " "
y[1] (numeric) = 0.8323875599558039 " "
absolute error = 6.5281113847959200000000000000E-14 " "
relative error = 7.84263448764422000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1652412211025716 " "
Order of pole (three term test) = 22.971906069942452 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.319999999999911 " "
y[1] (analytic) = 0.8225375751592272 " "
y[1] (numeric) = 0.8225375751591617 " "
absolute error = 6.55031584528842400000000000000E-14 " "
relative error = 7.963546034988626000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17464566616328417 " "
Order of pole (three term test) = 22.968507087769634 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.329999999999911 " "
y[1] (analytic) = 0.8127053364571846 " "
y[1] (numeric) = 0.8127053364571187 " "
absolute error = 6.58362253602717800000000000000E-14 " "
relative error = 8.100872777244303000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1839802552861093 " "
Order of pole (three term test) = 22.964920709008382 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3399999999999106 " "
y[1] (analytic) = 0.8028918270654176 " "
y[1] (numeric) = 0.8028918270653517 " "
absolute error = 6.5947247662734300000000000000E-14 " "
relative error = 8.213715153107554000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19324125475985732 " "
Order of pole (three term test) = 22.961148368162394 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3499999999999104 " "
y[1] (analytic) = 0.793098028326688 " "
y[1] (numeric) = 0.7930980283266218 " "
absolute error = 6.61692922676593300000000000000E-14 " "
relative error = 8.343141692996782000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20242496030821705 " "
Order of pole (three term test) = 22.95719157411769 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.35999999999991 " "
y[1] (analytic) = 0.7833249196127079 " "
y[1] (numeric) = 0.7833249196126415 " "
absolute error = 6.63913368725843600000000000000E-14 " "
relative error = 8.475580849056815000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21152769857141718 " "
Order of pole (three term test) = 22.95305190953916 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.36999999999991 " "
y[1] (analytic) = 0.7735734782262047 " "
y[1] (numeric) = 0.773573478226138 " "
absolute error = 6.67244037799719100000000000000E-14 " "
relative error = 8.625477172895097000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22054582857552033 " "
Order of pole (three term test) = 22.94873103023742 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3799999999999097 " "
y[1] (analytic) = 0.7638446793031906 " "
y[1] (numeric) = 0.7638446793031237 " "
absolute error = 6.68354260824344200000000000000E-14 " "
relative error = 8.749871262231526000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.229475743188765 " "
Order of pole (three term test) = 22.94423066450658 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3899999999999095 " "
y[1] (analytic) = 0.7541394957154508 " "
y[1] (numeric) = 0.7541394957153837 " "
absolute error = 6.70574706873594600000000000000E-14 " "
relative error = 8.891918679281231000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2383138705643701 " "
Order of pole (three term test) = 22.939552612432948 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3999999999999093 " "
y[1] (analytic) = 0.7444588979732564 " "
y[1] (numeric) = 0.7444588979731891 " "
absolute error = 6.72795152922844900000000000000E-14 " "
relative error = 9.037371368043129000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24705667556922528 " "
Order of pole (three term test) = 22.934698745174952 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.409999999999909 " "
y[1] (analytic) = 0.7348038541283144 " "
y[1] (numeric) = 0.7348038541282469 " "
absolute error = 6.75015598972095200000000000000E-14 " "
relative error = 9.186337213389482000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2557006611978979 " "
Order of pole (three term test) = 22.9296710042148 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.419999999999909 " "
y[1] (analytic) = 0.7251753296769635 " "
y[1] (numeric) = 0.7251753296768958 " "
absolute error = 6.77236045021345500000000000000E-14 " "
relative error = 9.338928357132984000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.26424236997138795 " "
Order of pole (three term test) = 22.924471400581837 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4299999999999087 " "
y[1] (analytic) = 0.7155742874636252 " "
y[1] (numeric) = 0.7155742874635572 " "
absolute error = 6.79456491070595800000000000000E-14 " "
relative error = 9.495261400167828000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2726783853200741 " "
Order of pole (three term test) = 22.91910201404817 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4399999999999085 " "
y[1] (analytic) = 0.7060016875845199 " "
y[1] (numeric) = 0.7060016875844517 " "
absolute error = 6.81676937119846100000000000000E-14 " "
relative error = 9.655457615860702000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2810053329502958 " "
Order of pole (three term test) = 22.91356499229685 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4499999999999083 " "
y[1] (analytic) = 0.6964584872916583 " "
y[1] (numeric) = 0.6964584872915899 " "
absolute error = 6.83897383169096400000000000000E-14 " "
relative error = 9.819643175411522000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.289219882194025 " "
Order of pole (three term test) = 22.90786255006273 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.459999999999908 " "
y[1] (analytic) = 0.6869456408971171 " "
y[1] (numeric) = 0.6869456408970485 " "
absolute error = 6.86117829218346700000000000000E-14 " "
relative error = 9.987949385955937000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2973187473410902 " "
Order of pole (three term test) = 22.901996968246685 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.469999999999908 " "
y[1] (analytic) = 0.6774640996776085 " "
y[1] (numeric) = 0.6774640996775396 " "
absolute error = 6.8833827526759700000000000000E-14 " "
relative error = 1.016051294223802400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3052986889534162 " "
Order of pole (three term test) = 22.89597059300322 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4799999999999076 " "
y[1] (analytic) = 0.668014811779353 " "
y[1] (numeric) = 0.668014811779284 " "
absolute error = 6.89448498292222200000000000000E-14 " "
relative error = 1.032085645609829600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31315651516075604 " "
Order of pole (three term test) = 22.8897858348021 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4899999999999074 " "
y[1] (analytic) = 0.6585987221232663 " "
y[1] (numeric) = 0.658598722123197 " "
absolute error = 6.92779167366097700000000000000E-14 " "
relative error = 1.051898742124243200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3208890829373958 " "
Order of pole (three term test) = 22.883445167464135 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.499999999999907 " "
y[1] (analytic) = 0.6492167723104671 " "
y[1] (numeric) = 0.6492167723103976 " "
absolute error = 6.9499961341534800000000000000E-14 " "
relative error = 1.070520114478784200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3284932993593245 " "
Order of pole (three term test) = 22.87695112717171 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.509999999999907 " "
y[1] (analytic) = 0.6398699005281184 " "
y[1] (numeric) = 0.6398699005280488 " "
absolute error = 6.96109836439973200000000000000E-14 " "
relative error = 1.087892766741234400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3359661228413619 " "
Order of pole (three term test) = 22.870306311454375 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5199999999999068 " "
y[1] (analytic) = 0.6305590414556096 " "
y[1] (numeric) = 0.6305590414555398 " "
absolute error = 6.98330282489223500000000000000E-14 " "
relative error = 1.107478025970681100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3433045643537515 " "
Order of pole (three term test) = 22.863513378149804 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5299999999999065 " "
y[1] (analytic) = 0.6212851261710888 " "
y[1] (numeric) = 0.6212851261710187 " "
absolute error = 7.00550728538473800000000000000E-14 " "
relative error = 1.127583293126442800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3505056886177326 " "
Order of pole (three term test) = 22.85657504434075 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5399999999999063 " "
y[1] (analytic) = 0.6120490820583561 " "
y[1] (numeric) = 0.6120490820582859 " "
absolute error = 7.01660951563098900000000000000E-14 " "
relative error = 1.14641288114242900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3575666152796135 " "
Order of pole (three term test) = 22.84949408526824 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.549999999999906 " "
y[1] (analytic) = 0.6028518327141262 " "
y[1] (numeric) = 0.6028518327140558 " "
absolute error = 7.03881397612349200000000000000E-14 " "
relative error = 1.167586062471392400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.36448452006287396 " "
Order of pole (three term test) = 22.842273333221478 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.559999999999906 " "
y[1] (analytic) = 0.5936942978556692 " "
y[1] (numeric) = 0.5936942978555987 " "
absolute error = 7.04991620636974400000000000000E-14 " "
relative error = 1.187465709512949100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37125663589783764 " "
Order of pole (three term test) = 22.834915676404997 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5699999999999057 " "
y[1] (analytic) = 0.5845773932288398 " "
y[1] (numeric) = 0.584577393228769 " "
absolute error = 7.08322289710849900000000000000E-14 " "
relative error = 1.211682658131065700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3778802540284651 " "
Order of pole (three term test) = 22.827424057783457 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5799999999999055 " "
y[1] (analytic) = 0.5755020305165031 " "
y[1] (numeric) = 0.5755020305164321 " "
absolute error = 7.0943251273547500000000000000E-14 " "
relative error = 1.23271939127438310000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38435272509581714 " "
Order of pole (three term test) = 22.819801473904384 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5899999999999053 " "
y[1] (analytic) = 0.5664691172473675 " "
y[1] (numeric) = 0.5664691172472964 " "
absolute error = 7.10542735760100200000000000000E-14 " "
relative error = 1.254336227917996500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39067146019776594 " "
Order of pole (three term test) = 22.812050973699723 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.599999999999905 " "
y[1] (analytic) = 0.5574795567052327 " "
y[1] (numeric) = 0.5574795567051615 " "
absolute error = 7.12763181809350500000000000000E-14 " "
relative error = 1.278545864572795400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3968339319245188 " "
Order of pole (three term test) = 22.804175657266203 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.609999999999905 " "
y[1] (analytic) = 0.5485342478386617 " "
y[1] (numeric) = 0.5485342478385902 " "
absolute error = 7.14983627858600800000000000000E-14 " "
relative error = 1.30344391562748200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.40283767536955023 " "
Order of pole (three term test) = 22.796178674625395 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6199999999999046 " "
y[1] (analytic) = 0.5396340851710865 " "
y[1] (numeric) = 0.5396340851710149 " "
absolute error = 7.1609385088322600000000000000E-14 " "
relative error = 1.326998924940396300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.40868028911553156 " "
Order of pole (three term test) = 22.788063224463734 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6299999999999044 " "
y[1] (analytic) = 0.5307799587113572 " "
y[1] (numeric) = 0.5307799587112854 " "
absolute error = 7.18314296932476300000000000000E-14 " "
relative error = 1.353318423469530300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4143594361948643 " "
Order of pole (three term test) = 22.779832552853083 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.639999999999904 " "
y[1] (analytic) = 0.5219727538647414 " "
y[1] (numeric) = 0.5219727538646693 " "
absolute error = 7.20534742981726600000000000000E-14 " "
relative error = 1.380406807916335400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41987284502443784 " "
Order of pole (three term test) = 22.771489951952343 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.649999999999904 " "
y[1] (analytic) = 0.5132133513443844 " "
y[1] (numeric) = 0.5132133513443121 " "
absolute error = 7.22755189030976900000000000000E-14 " "
relative error = 1.408293816085822200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4252183103142318 " "
Order of pole (three term test) = 22.763038758690634 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6599999999999038 " "
y[1] (analytic) = 0.5045026270832388 " "
y[1] (numeric) = 0.5045026270831663 " "
absolute error = 7.24975635080227200000000000000E-14 " "
relative error = 1.437010624249162000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43039369394940175 " "
Order of pole (three term test) = 22.754482353432586 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6699999999999036 " "
y[1] (analytic) = 0.4958414521464717 " "
y[1] (numeric) = 0.4958414521463991 " "
absolute error = 7.26085858104852400000000000000E-14 " "
relative error = 1.464350862481675600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43539692584549833 " "
Order of pole (three term test) = 22.745824158626224 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6799999999999033 " "
y[1] (analytic) = 0.48723069264435925 " "
y[1] (numeric) = 0.4872306926442865 " "
absolute error = 7.27751192641790100000000000000E-14 " "
relative error = 1.493648088325569300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44022600477647156 " "
Order of pole (three term test) = 22.737067637434016 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.689999999999903 " "
y[1] (analytic) = 0.4786712096456761 " "
y[1] (numeric) = 0.4786712096456031 " "
absolute error = 7.29971638691040400000000000000E-14 " "
relative error = 1.524995913648917500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44487899917513557 " "
Order of pole (three term test) = 22.728216292347692 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.699999999999903 " "
y[1] (analytic) = 0.4701638590915891 " "
y[1] (numeric) = 0.470163859091516 " "
absolute error = 7.31081861715665600000000000000E-14 " "
relative error = 1.55495121026146130000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4493540479057708 " "
Order of pole (three term test) = 22.719273663787288 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7099999999999027 " "
y[1] (analytic) = 0.46170949171006437 " "
y[1] (numeric) = 0.46170949170999104 " "
absolute error = 7.33302307764915900000000000000E-14 " "
relative error = 1.588233122626383800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4536493610085513 " "
Order of pole (three term test) = 22.710243328684967 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7199999999999025 " "
y[1] (analytic) = 0.45330895293079465 " "
y[1] (numeric) = 0.45330895293072115 " "
absolute error = 7.34967642301853600000000000000E-14 " "
relative error = 1.62133934825253480000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4577632204155056 " "
Order of pole (three term test) = 22.70112889905437 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7299999999999023 " "
y[1] (analytic) = 0.44496308280065744 " "
y[1] (numeric) = 0.44496308280058383 " "
absolute error = 7.36077865326478800000000000000E-14 " "
relative error = 1.654244798677467500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46169398063772193 " "
Order of pole (three term test) = 22.69193402054585 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.739999999999902 " "
y[1] (analytic) = 0.436672715899711 " "
y[1] (numeric) = 0.4366727158996372 " "
absolute error = 7.38298311375729100000000000000E-14 " "
relative error = 1.690736069586017400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46544006942352095 " "
Order of pole (three term test) = 22.68266237098819 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.749999999999902 " "
y[1] (analytic) = 0.42843868125773676 " "
y[1] (numeric) = 0.42843868125766277 " "
absolute error = 7.39963645912666800000000000000E-14 " "
relative error = 1.727116804067290500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4689999883873355 " "
Order of pole (three term test) = 22.673317658917604 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7599999999999016 " "
y[1] (analytic) = 0.42026180227133725 " "
y[1] (numeric) = 0.42026180227126303 " "
absolute error = 7.42184091961917100000000000000E-14 " "
relative error = 1.766004162050241200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47237231360904475 " "
Order of pole (three term test) = 22.663903622094324 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7699999999999014 " "
y[1] (analytic) = 0.412142896621597 " "
y[1] (numeric) = 0.41214289662152265 " "
absolute error = 7.43294314986542300000000000000E-14 " "
relative error = 1.803486900003488700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47555569620352384 " "
Order of pole (three term test) = 22.65442402600755 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.779999999999901 " "
y[1] (analytic) = 0.40408277619231525 " "
y[1] (numeric) = 0.4040827761922408 " "
absolute error = 7.44404538011167500000000000000E-14 " "
relative error = 1.84220803723859500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47854886286017995 " "
Order of pole (three term test) = 22.644882662369344 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.789999999999901 " "
y[1] (analytic) = 0.39608224698881833 " "
y[1] (numeric) = 0.39608224698874367 " "
absolute error = 7.46624984060417800000000000000E-14 " "
relative error = 1.88502511722393700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4813506163522584 " "
Order of pole (three term test) = 22.63528334759793 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.799999999999901 " "
y[1] (analytic) = 0.38814210905735935 " "
y[1] (numeric) = 0.3881421090572845 " "
absolute error = 7.48290318597355500000000000000E-14 " "
relative error = 1.92787719017308100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4839598360157184 " "
Order of pole (three term test) = 22.62562992129122 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8099999999999006 " "
y[1] (analytic) = 0.3802631564051149 " "
y[1] (numeric) = 0.38026315640503977 " "
absolute error = 7.51065876158918400000000000000E-14 " "
relative error = 1.97512134296483680000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48637547819748367 " "
Order of pole (three term test) = 22.615926244691043 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8199999999999004 " "
y[1] (analytic) = 0.3724461769207841 " "
y[1] (numeric) = 0.37244617692070886 " "
absolute error = 7.52176099183543600000000000000E-14 " "
relative error = 2.019556504518838200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4885965766728903 " "
Order of pole (three term test) = 22.60617619913866 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8299999999999 " "
y[1] (analytic) = 0.36469195229580154 " "
y[1] (numeric) = 0.3646919522957261 " "
absolute error = 7.54396545232793900000000000000E-14 " "
relative error = 2.068585666570736400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49062224303216184 " "
Order of pole (three term test) = 22.59638368452228 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8399999999999 " "
y[1] (analytic) = 0.35700125794616777 " "
y[1] (numeric) = 0.35700125794609217 " "
absolute error = 7.56061879769731600000000000000E-14 " "
relative error = 2.117812929061830600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49245166703576326 " "
Order of pole (three term test) = 22.586552617717192 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8499999999998997 " "
y[1] (analytic) = 0.3493748629349088 " "
y[1] (numeric) = 0.3493748629348331 " "
absolute error = 7.57172102794356800000000000000E-14 " "
relative error = 2.167219749107775800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4940841169384849 " "
Order of pole (three term test) = 22.57668693101903 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8599999999998995 " "
y[1] (analytic) = 0.34181352989517066 " "
y[1] (numeric) = 0.3418135298950947 " "
absolute error = 7.59392548843607100000000000000E-14 " "
relative error = 2.221657372885449700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49551893978213163 " "
Order of pole (three term test) = 22.566790570570948 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8699999999998993 " "
y[1] (analytic) = 0.3343180149539561 " "
y[1] (numeric) = 0.33431801495387997 " "
absolute error = 7.61057883380544800000000000000E-14 " "
relative error = 2.2764489179123700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4967555616566965 " "
Order of pole (three term test) = 22.55686749478516 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.879999999999899 " "
y[1] (analytic) = 0.32688906765651293 " "
y[1] (numeric) = 0.32688906765643666 " "
absolute error = 7.62723217917482500000000000000E-14 " "
relative error = 2.333278452489985200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49779348792991784 " "
Order of pole (three term test) = 22.54692167275968 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.889999999999899 " "
y[1] (analytic) = 0.31952743089138014 " "
y[1] (numeric) = 0.3195274308913038 " "
absolute error = 7.63278329429795100000000000000E-14 " "
relative error = 2.388772467204117200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4986323034451254 " "
Order of pole (three term test) = 22.536957082690712 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8999999999998987 " "
y[1] (analytic) = 0.31223384081609973 " "
y[1] (numeric) = 0.31223384081602323 " "
absolute error = 7.64943663966732900000000000000E-14 " "
relative error = 2.449906332918190300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49927167268729694 " "
Order of pole (three term test) = 22.52697771028142 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9099999999998984 " "
y[1] (analytic) = 0.3050090267836012 " "
y[1] (numeric) = 0.3050090267835245 " "
absolute error = 7.67164110015983200000000000000E-14 " "
relative error = 2.515217723573385000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4997113399172605 " "
Order of pole (three term test) = 22.51698754714772 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9199999999998982 " "
y[1] (analytic) = 0.29785371126926696 " "
y[1] (numeric) = 0.29785371126919014 " "
absolute error = 7.68274333040608300000000000000E-14 " "
relative error = 2.57936800507437600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49995112927398616 " "
Order of pole (three term test) = 22.506990589221655 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.929999999999898 " "
y[1] (analytic) = 0.2907686097986859 " "
y[1] (numeric) = 0.2907686097986089 " "
absolute error = 7.6993966757754610000000000000E-14 " "
relative error = 2.647946310678498000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49999094484492845 " "
Order of pole (three term test) = 22.49699083515311 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.939999999999898 " "
y[1] (analytic) = 0.28375443087610075 " "
y[1] (numeric) = 0.28375443087602364 " "
absolute error = 7.71049890602171200000000000000E-14 " "
relative error = 2.717314010644804000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4998307707043897 " "
Order of pole (three term test) = 22.486992284710382 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9499999999998976 " "
y[1] (analytic) = 0.2768118759135587 " "
y[1] (numeric) = 0.27681187591348144 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.791481480297500000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4994706709198907 " "
Order of pole (three term test) = 22.476998937180333 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9599999999998974 " "
y[1] (analytic) = 0.2699416391607705 " "
y[1] (numeric) = 0.26994163916069314 " "
absolute error = 7.73825448163734100000000000000E-14 " "
relative error = 2.866639806179968000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49891078952654405 " "
Order of pole (three term test) = 22.467014789768744 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.969999999999897 " "
y[1] (analytic) = 0.26314440763568636 " "
y[1] (numeric) = 0.2631444076356088 " "
absolute error = 7.75490782700671800000000000000E-14 " "
relative error = 2.947016011734172600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49815135046944164 " "
Order of pole (three term test) = 22.457043836001432 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.979999999999897 " "
y[1] (analytic) = 0.2564208610557943 " "
y[1] (numeric) = 0.2564208610557166 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.03078350972586900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4971926575140812 " "
Order of pole (three term test) = 22.447090064126996 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9899999999998967 " "
y[1] (analytic) = 0.24977167177014947 " "
y[1] (numeric) = 0.24977167177007162 " "
absolute error = 7.7854389601839100000000000000E-14 " "
relative error = 3.11702240090237400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.496035094124862 " "
Order of pole (three term test) = 22.437157455521447 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9999999999998965 " "
y[1] (analytic) = 0.2431975046921394 " "
y[1] (numeric) = 0.24319750469206142 " "
absolute error = 7.79931674799172500000000000000E-14 " "
relative error = 3.206988804373128700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49467912331170594 " "
Order of pole (three term test) = 22.4272499830958 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.009999999999897 " "
y[1] (analytic) = 0.23669901723299314 " "
y[1] (numeric) = 0.23669901723291537 " "
absolute error = 7.77711228749922200000000000000E-14 " "
relative error = 3.285654658989932000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4931252874448588 " "
Order of pole (three term test) = 22.41737160970692 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.0199999999998965 " "
y[1] (analytic) = 0.2302768592360419 " "
y[1] (numeric) = 0.23027685923596397 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 3.384519685879384000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4913742080379501 " "
Order of pole (three term test) = 22.407526286572466 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.029999999999896 " "
y[1] (analytic) = 0.22393167291173321 " "
y[1] (numeric) = 0.22393167291165517 " "
absolute error = 7.8048678631148500000000000000E-14 " "
relative error = 3.48537916125481850000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4894265854993949 " "
Order of pole (three term test) = 22.39771795169042 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.039999999999896 " "
y[1] (analytic) = 0.21766409277341192 " "
y[1] (numeric) = 0.21766409277333373 " "
absolute error = 7.81874565092266500000000000000E-14 " "
relative error = 3.59211551675726800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48728319885224086 " "
Order of pole (three term test) = 22.387950528263953 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.049999999999896 " "
y[1] (analytic) = 0.21147474557386892 " "
y[1] (numeric) = 0.21147474557379053 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 3.706435268468357700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48494490542256835 " "
Order of pole (three term test) = 22.378227923132197 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.059999999999896 " "
y[1] (analytic) = 0.20536425024266625 " "
y[1] (numeric) = 0.20536425024258778 " "
absolute error = 7.84650122653829400000000000000E-14 " "
relative error = 3.82077270862215200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48241264049657295 " "
Order of pole (three term test) = 22.3685540252076 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.0699999999998955 " "
y[1] (analytic) = 0.19933321782424507 " "
y[1] (numeric) = 0.1993332178241665 " "
absolute error = 7.85760345678454500000000000000E-14 " "
relative error = 3.94194381776985400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47968741694646183 " "
Order of pole (three term test) = 22.35893270392032 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.079999999999895 " "
y[1] (analytic) = 0.19338225141682142 " "
y[1] (numeric) = 0.1933822514167427 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 4.070425898406753000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4767703248253186 " "
Order of pole (three term test) = 22.3493678076706 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.089999999999895 " "
y[1] (analytic) = 0.1875119461120769 " "
y[1] (numeric) = 0.187511946111998 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 4.20673709249807350000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4736625309310985 " "
Order of pole (three term test) = 22.339863162289415 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.099999999999895 " "
y[1] (analytic) = 0.18172288893564992 " "
y[1] (numeric) = 0.18172288893557098 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 4.34380377250116400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47036527833992203 " "
Order of pole (three term test) = 22.330422569508187 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.109999999999895 " "
y[1] (analytic) = 0.17601565878843417 " "
y[1] (numeric) = 0.17601565878835507 " "
absolute error = 7.9103390504542400000000000000E-14 " "
relative error = 4.494110981320272000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4668798859088631 " "
Order of pole (three term test) = 22.32104980543814 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.119999999999894 " "
y[1] (analytic) = 0.1703908263886882 " "
y[1] (numeric) = 0.17039082638860897 " "
absolute error = 7.92144128070049200000000000000E-14 " "
relative error = 4.64898342744722800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4632077477484228 " "
Order of pole (three term test) = 22.31174861905996 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.129999999999894 " "
y[1] (analytic) = 0.1648489542149646 " "
y[1] (numeric) = 0.16484895421488532 " "
absolute error = 7.92699239582361800000000000000E-14 " "
relative error = 4.808639783960500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4593503326649041 " "
Order of pole (three term test) = 22.302522730724156 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.139999999999894 " "
y[1] (analytic) = 0.15939059644986275 " "
y[1] (numeric) = 0.1593905964497833 " "
absolute error = 7.94642129875455800000000000000E-14 " "
relative error = 4.98550195290482560000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45530918357290895 " "
Order of pole (three term test) = 22.293375830663088 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.149999999999894 " "
y[1] (analytic) = 0.15401629892461033 " "
y[1] (numeric) = 0.15401629892453078 " "
absolute error = 7.95474797143924700000000000000E-14 " "
relative error = 5.16487412499960700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45108591687819266 " "
Order of pole (three term test) = 22.284311577514785 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.159999999999894 " "
y[1] (analytic) = 0.14872659906448138 " "
y[1] (numeric) = 0.14872659906440175 " "
absolute error = 7.96307464412393500000000000000E-14 " "
relative error = 5.35416979492114500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4466822218311239 " "
Order of pole (three term test) = 22.275333596859674 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.169999999999893 " "
y[1] (analytic) = 0.1435220258350539 " "
y[1] (numeric) = 0.14352202583497412 " "
absolute error = 7.97972798949331300000000000000E-14 " "
relative error = 5.55993266055497600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4420998598510063 " "
Order of pole (three term test) = 22.26644547977031 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.179999999999893 " "
y[1] (analytic) = 0.13840309968931364 " "
y[1] (numeric) = 0.1384030996892337 " "
absolute error = 7.99360577730112700000000000000E-14 " "
relative error = 5.775597363964478000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43734066382153447 " "
Order of pole (three term test) = 22.25765078137502 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.189999999999893 " "
y[1] (analytic) = 0.13337033251560937 " "
y[1] (numeric) = 0.13337033251552935 " "
absolute error = 8.00193244998581600000000000000E-14 " "
relative error = 5.99978443410515400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43240653735766477 " "
Order of pole (three term test) = 22.24895301943589 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.199999999999893 " "
y[1] (analytic) = 0.12842422758646455 " "
y[1] (numeric) = 0.12842422758638444 " "
absolute error = 8.01025912267050400000000000000E-14 " "
relative error = 6.2373426519364600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4272994540441961 " "
Order of pole (three term test) = 22.240355672941753 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.2099999999998925 " "
y[1] (analytic) = 0.12356527950825036 " "
y[1] (numeric) = 0.12356527950817017 " "
absolute error = 8.01858579535519300000000000000E-14 " "
relative error = 6.48935188530836300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4220214566463597 " "
Order of pole (three term test) = 22.23186218071655 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.219999999999892 " "
y[1] (analytic) = 0.11879397417172555 " "
y[1] (numeric) = 0.11879397417164524 " "
absolute error = 8.03107580438222600000000000000E-14 " "
relative error = 6.7605077280878800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41657465629274215 " "
Order of pole (three term test) = 22.223475940043937 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.229999999999892 " "
y[1] (analytic) = 0.1141107887034476 " "
y[1] (numeric) = 0.11411078870336722 " "
absolute error = 8.03801469828613300000000000000E-14 " "
relative error = 7.0440444673250090000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4109612316308628 " "
Order of pole (three term test) = 22.21520030530837 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.239999999999892 " "
y[1] (analytic) = 0.1095161914180608 " "
y[1] (numeric) = 0.1095161914179803 " "
absolute error = 8.04911692853238500000000000000E-14 " "
relative error = 7.34970493797227700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4051834279557411 " "
Order of pole (three term test) = 22.207038586653404 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.249999999999892 " "
y[1] (analytic) = 0.1050106417714648 " "
y[1] (numeric) = 0.10501064177138422 " "
absolute error = 8.05744360121707400000000000000E-14 " "
relative error = 7.67297815277858200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39924355631181035 " "
Order of pole (three term test) = 22.198994048657674 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.259999999999891 " "
y[1] (analytic) = 0.10059459031486973 " "
y[1] (numeric) = 0.10059459031478901 " "
absolute error = 8.07132138902488800000000000000E-14 " "
relative error = 8.02361375871302600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3931439925685317 " "
Order of pole (three term test) = 22.191069909029125 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.269999999999891 " "
y[1] (analytic) = 9.62684786497410800E-2 " "
y[1] (numeric) = 9.6268478649660300E-2 " "
absolute error = 8.07826028292879500000000000000E-14 " "
relative error = 8.3913866680290800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3868871764700755 " "
Order of pole (three term test) = 22.183269337317945 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.279999999999891 " "
y[1] (analytic) = 9.20327393836404300E-2 " "
y[1] (numeric) = 9.20327393835595100E-2 " "
absolute error = 8.09075029195582800000000000000E-14 " "
relative error = 8.7911653463115600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.380475610659458 " "
Order of pole (three term test) = 22.17559545364882 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.289999999999890 " "
y[1] (analytic) = 8.78877960869645100E-2 " "
y[1] (numeric) = 8.78877960868835200E-2 " "
absolute error = 8.09907696464051700000000000000E-14 " "
relative error = 9.21524639965544600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37391185967751744 " "
Order of pole (three term test) = 22.168051327472906 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.299999999999890 " "
y[1] (analytic) = 8.38340632505888400E-2 " "
y[1] (numeric) = 8.38340632505078500E-2 " "
absolute error = 8.09907696464051700000000000000E-14 " "
relative error = 9.66084268208678300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3671985489371307 " "
Order of pole (three term test) = 22.160639976340075 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.30999999999989 " "
y[1] (analytic) = 7.98719462444191800E-2 " "
y[1] (numeric) = 7.98719462443380400E-2 " "
absolute error = 8.11295475244833100000000000000E-14 " "
relative error = 1.01574521893100870000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3603383636730847 " "
Order of pole (three term test) = 22.153364364691964 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.31999999999989 " "
y[1] (analytic) = 7.60018412768541700E-2 " "
y[1] (numeric) = 7.60018412767729900E-2 " "
absolute error = 8.11850586757145700000000000000E-14 " "
relative error = 1.06819857666315410000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3533340478680169 " "
Order of pole (three term test) = 22.146227402676235 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.32999999999989 " "
y[1] (analytic) = 7.22241353551655900E-2 " "
y[1] (numeric) = 7.22241353550843200E-2 " "
absolute error = 8.12683254025614600000000000000E-14 " "
relative error = 1.1252239296866710000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.34618840315485977 " "
Order of pole (three term test) = 22.139231944982534 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.33999999999989 " "
y[1] (analytic) = 6.85392062467975500E-2 " "
y[1] (numeric) = 6.85392062467161700E-2 " "
absolute error = 8.13793477050239700000000000000E-14 " "
relative error = 1.1873400957109330000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3389042876962245 " "
Order of pole (three term test) = 22.132380789700655 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.3499999999998895 " "
y[1] (analytic) = 6.49474224415900200E-2 " "
y[1] (numeric) = 6.4947422441508600E-2 " "
absolute error = 8.14209810684474200000000000000E-14 " "
relative error = 1.25364453287846460000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33148461504117416 " "
Order of pole (three term test) = 22.125676677201373 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.359999999999890 " "
y[1] (analytic) = 6.14491431149304400E-2 " "
y[1] (numeric) = 6.144914311484897000E-2 " "
absolute error = 8.14626144318708600000000000000E-14 " "
relative error = 1.3256916256669120000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3239323529598433 " "
Order of pole (three term test) = 22.119122289040305 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.369999999999889 " "
y[1] (analytic) = 5.80447180918363100E-2 " "
y[1] (numeric) = 5.80447180917547500E-2 " "
absolute error = 8.15597589465255600000000000000E-14 " "
relative error = 1.40511939118189160000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31625052225636896 " "
Order of pole (three term test) = 22.112720246885306 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.379999999999889 " "
y[1] (analytic) = 5.473448781197288000E-2 " "
y[1] (numeric) = 5.473448781189123000E-2 " "
absolute error = 8.16499645672763600000000000000E-14 " "
relative error = 1.49174620666525840000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.30844219556060953 " "
Order of pole (three term test) = 22.1064731114679 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.389999999999889 " "
y[1] (analytic) = 5.15187832956095500E-2 " "
y[1] (numeric) = 5.151878329552786000E-2 " "
absolute error = 8.16846590367958900000000000000E-14 " "
relative error = 1.58553160248559450000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3005104960991339 " "
Order of pole (three term test) = 22.10038338155896 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.3999999999998884 " "
y[1] (analytic) = 4.8397926110518297E-2 " "
y[1] (numeric) = 4.839792611043656000E-2 " "
absolute error = 8.17332312941232400000000000000E-14 " "
relative error = 1.68877548817861850000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2924585964459715 " "
Order of pole (three term test) = 22.094453492969237 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.409999999999888 " "
y[1] (analytic) = 4.53722283398169100E-2 " "
y[1] (numeric) = 4.53722283397351200E-2 " "
absolute error = 8.1788742445354500000000000000E-14 " "
relative error = 1.80261683055976060000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28428971725362695 " "
Order of pole (three term test) = 22.08868581757511 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.419999999999888 " "
y[1] (analytic) = 4.24419925507610900E-2 " "
y[1] (numeric) = 4.24419925506792100E-2 " "
absolute error = 8.1878948066105300000000000000E-14 " "
relative error = 1.92919660800979530000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2760071259648599 " "
Order of pole (three term test) = 22.08308266236984 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.429999999999888 " "
y[1] (analytic) = 3.960751176448784600E-2 " "
y[1] (numeric) = 3.96075117644058670E-2 " "
absolute error = 8.19760925807600000000000000E-14 " "
relative error = 2.06971074245213970000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.26761413550575264 " "
Order of pole (three term test) = 22.077646268540803 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.439999999999888 " "
y[1] (analytic) = 3.68690694267136400E-2 " "
y[1] (numeric) = 3.68690694266316730E-2 " "
absolute error = 8.19691536868560900000000000000E-14 " "
relative error = 2.22324986666099570000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2591141029605842 " "
Order of pole (three term test) = 22.07237881057303 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.449999999999887 " "
y[1] (analytic) = 3.422693937939047500E-2 " "
y[1] (numeric) = 3.42269393793083700E-2 " "
absolute error = 8.21079315649342300000000000000E-14 " "
relative error = 2.39892707480514580000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25051042822904007 " "
Order of pole (three term test) = 22.0672823953795 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.459999999999887 " "
y[1] (analytic) = 3.16813858333210300E-2 " "
y[1] (numeric) = 3.16813858332389230E-2 " "
absolute error = 8.21079315649342300000000000000E-14 " "
relative error = 2.5916773968447070000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2418065526662987 " "
Order of pole (three term test) = 22.062359061458324 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.469999999999887 " "
y[1] (analytic) = 2.923266334173879600E-2 " "
y[1] (numeric) = 2.923266334165665000E-2 " "
absolute error = 8.21426260344537700000000000000E-14 " "
relative error = 2.80996038828830950000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23300595770653537 " "
Order of pole (three term test) = 22.057610778077425 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.479999999999887 " "
y[1] (analytic) = 2.68810167748523300E-2 " "
y[1] (numeric) = 2.688101677477012000E-2 " "
absolute error = 8.22050760795889300000000000000E-14 " "
relative error = 3.05810887914378550000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2241121634703941 " "
Order of pole (three term test) = 22.053039444486853 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.4899999999998865 " "
y[1] (analytic) = 2.46266812953586100E-2 " "
y[1] (numeric) = 2.462668129527632600E-2 " "
absolute error = 8.22848733594838700000000000000E-14 " "
relative error = 3.3412895701456980000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.215128727356987 " "
Order of pole (three term test) = 22.048646889159095 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.499999999999886 " "
y[1] (analytic) = 2.24698823349268600E-2 " "
y[1] (numeric) = 2.2469882334844600E-2 " "
absolute error = 8.22605872308201900000000000000E-14 " "
relative error = 3.66092647948385200000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20605924262098188 " "
Order of pole (three term test) = 22.044434869057707 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.509999999999886 " "
y[1] (analytic) = 2.041083557165601600E-2 " "
y[1] (numeric) = 2.041083557157366300E-2 " "
absolute error = 8.23542622985229400000000000000E-14 " "
relative error = 4.03483051976990640000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19690733693534812 " "
Order of pole (three term test) = 22.040405068934575 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.519999999999886 " "
y[1] (analytic) = 1.844974690850631500E-2 " "
y[1] (numeric) = 1.844974690842397500E-2 " "
absolute error = 8.23403845107151300000000000000E-14 " "
relative error = 4.46295469087176650000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18767667094033677 " "
Order of pole (three term test) = 22.036559100656028 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.529999999999886 " "
y[1] (analytic) = 1.658681245271009800E-2 " "
y[1] (numeric) = 1.658681245262761400E-2 " "
absolute error = 8.24826318357452200000000000000E-14 " "
relative error = 4.9727837745141020000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17837093677927138 " "
Order of pole (three term test) = 22.032898502558076 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.5399999999998855 " "
y[1] (analytic) = 1.482221849616016700E-2 " "
y[1] (numeric) = 1.482221849607772700E-2 " "
absolute error = 8.24409984723217800000000000000E-14 " "
relative error = 5.5619878018718240000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16899385662174166 " "
Order of pole (three term test) = 22.02942473883117 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.549999999999885 " "
y[1] (analytic) = 1.315614149678201400E-2 " "
y[1] (numeric) = 1.315614149669947200E-2 " "
absolute error = 8.25433471574044100000000000000E-14 " "
relative error = 6.2741303882748960000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15954918117478473 " "
Order of pole (three term test) = 22.02613919893448 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.559999999999885 " "
y[1] (analytic) = 1.158874806088694400E-2 " "
y[1] (numeric) = 1.158874806080439600E-2 " "
absolute error = 8.25485513278323400000000000000E-14 " "
relative error = 7.1231638563652140000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1500406881826517 " "
Order of pole (three term test) = 22.023043197040153 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.569999999999885 " "
y[1] (analytic) = 1.012019492651250500E-2 " "
y[1] (numeric) = 1.012019492642993200E-2 " "
absolute error = 8.25728374564960200000000000000E-14 " "
relative error = 8.1592141313577680000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14047218091576172 " "
Order of pole (three term test) = 22.02013797150767 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.579999999999885 " "
y[1] (analytic) = 8.750628947748362000E-3 " "
y[1] (numeric) = 8.750628947665727000E-3 " "
absolute error = 8.26352875016311800000000000000E-14 " "
relative error = 9.4433540714686780000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1308474866494428 " "
Order of pole (three term test) = 22.017424684388516 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.589999999999884 " "
y[1] (analytic) = 7.480187080050937000E-3 " "
y[1] (numeric) = 7.480187079968355000E-3 " "
absolute error = 8.25823784356138900000000000000E-14 " "
relative error = 1.1040148802675605000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12117045513307398 " "
Order of pole (three term test) = 22.014904420961344 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.599999999999884 " "
y[1] (analytic) = 6.30899636654858000E-3 " "
y[1] (numeric) = 6.308996366465889000E-3 " "
absolute error = 8.26916660146004300000000000000E-14 " "
relative error = 1.310694462482913000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11144495705023647 " "
Order of pole (three term test) = 22.012578189297948 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.609999999999884 " "
y[1] (analytic) = 5.2371739253364020000E-3 " "
y[1] (numeric) = 5.237173925253689000E-3 " "
absolute error = 8.27133500580501400000000000000E-14 " "
relative error = 1.5793508338132414000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10167488247049164 " "
Order of pole (three term test) = 22.010446919859945 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.619999999999884 " "
y[1] (analytic) = 4.26482693776542000E-3 " "
y[1] (numeric) = 4.264826937682696000E-3 " "
absolute error = 8.27246257606439900000000000000E-14 " "
relative error = 1.939694786395905000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.18641392934058700E-2 " "
Order of pole (three term test) = 22.008511465126723 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.6299999999998835 " "
y[1] (analytic) = 3.39205263772413000E-3 " "
y[1] (numeric) = 3.3920526376413784000E-3 " "
absolute error = 8.27515139745216300000000000000E-14 " "
relative error = 2.4395704551932626000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.20166516854416100E-2 " "
Order of pole (three term test) = 22.006772599254347 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.639999999999883 " "
y[1] (analytic) = 2.6189383019151746000E-3 " "
y[1] (numeric) = 2.6189383018324325000E-3 " "
absolute error = 8.27424066762727500000000000000E-14 " "
relative error = 3.159387398159207000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.21363585103437800E-2 " "
Order of pole (three term test) = 22.005231017766 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.649999999999883 " "
y[1] (analytic) = 1.94556124112788000E-3 " "
y[1] (numeric) = 1.9455612410451784000E-3 " "
absolute error = 8.2701640674587300000000000000E-14 " "
relative error = 4.250785784910247000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.222721175364718000E-2 " "
Order of pole (three term test) = 22.003887337273706 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.659999999999883 " "
y[1] (analytic) = 1.3719887925073282000E-3 " "
y[1] (numeric) = 1.3719887924245497000E-3 " "
absolute error = 8.27786190288337700000000000000E-14 " "
relative error = 6.033476328735508000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.229317494193424000E-2 " "
Order of pole (three term test) = 22.00274209523177 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.669999999999883 " "
y[1] (analytic) = 8.9827831282018880000E-4 " "
y[1] (numeric) = 8.9827831273743250000E-4 " "
absolute error = 8.27562844640805700000000000000E-14 " "
relative error = 9.212766609522516000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.23382215574775100E-2 " "
Order of pole (three term test) = 22.00179574972171 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.6799999999998825 " "
y[1] (analytic) = 5.2447717271975060000E-4 " "
y[1] (numeric) = 5.2447717263703850000E-4 " "
absolute error = 8.27120490154431600000000000000E-14 " "
relative error = 1.577038111811961400000000E-8 "%"
Correct digits = 11
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.236633344889993700E-2 " "
Order of pole (three term test) = 22.001048679269136 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.689999999999882 " "
y[1] (analytic) = 2.5062275200860020000E-4 " "
y[1] (numeric) = 2.5062275192587774000E-4 " "
absolute error = 8.27224573562990200000000000000E-14 " "
relative error = 3.30067628311177360000000E-8 "%"
Correct digits = 11
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.238149923848815000E-2 " "
Order of pole (three term test) = 22.000501182692258 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.699999999999882 " "
y[1] (analytic) = 7.67424359006119200000E-5 " "
y[1] (numeric) = 7.67424358178099600000E-5 " "
absolute error = 8.28019564805965200000000000000E-14 " "
relative error = 1.07895919003447070000000E-7 "%"
Correct digits = 10
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.238771272679697600E-2 " "
Order of pole (three term test) = 22.000153478982398 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.709999999999882 " "
y[1] (analytic) = 2.8536122823608070000000E-6 " "
y[1] (numeric) = 2.8536121995462466000000E-6 " "
absolute error = 8.28145603308516600000000000000E-14 " "
relative error = 2.9020957346854000000000E-6 "%"
Correct digits = 9
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.3889712951823813000E-3 " "
Order of pole (three term test) = 22.000005707216417 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.719999999999882 " "
y[1] (analytic) = 2.896366997462429500000E-5 " "
y[1] (numeric) = 2.896366989187460500000E-5 " "
absolute error = 8.27496877714873500000000000000E-14 " "
relative error = 2.8570166641170180000000E-7 "%"
Correct digits = 10
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.610725693097754000E-3 " "
Order of pole (three term test) = 22.00005792650106 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.729999999999881 " "
y[1] (analytic) = 1.55069997993528830000E-4 " "
y[1] (numeric) = 1.55069997910784130000E-4 " "
absolute error = 8.27447106058892800000000000000E-14 " "
relative error = 5.33595870745689100000000E-8 "%"
Correct digits = 11
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.76073784925756400E-2 " "
Order of pole (three term test) = 22.00031011594928 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.739999999999881 " "
y[1] (analytic) = 3.81159985811341250000E-4 " "
y[1] (numeric) = 3.81159985728561200000E-4 " "
absolute error = 8.27800827017666200000000000000E-14 " "
relative error = 2.171793624285089700000000E-8 "%"
Correct digits = 11
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.75969885754184200E-2 " "
Order of pole (three term test) = 22.000762174688692 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.749999999999881 " "
y[1] (analytic) = 7.0721102461757110000E-4 " "
y[1] (numeric) = 7.0721102453483160000E-4 " "
absolute error = 8.27394793304070400000000000000E-14 " "
relative error = 1.169940462610137400000000E-8 "%"
Correct digits = 11
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.75755602307859800E-2 " "
Order of pole (three term test) = 22.0014139219018 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.759999999999880 " "
y[1] (analytic) = 1.133190509580162000E-3 " "
y[1] (numeric) = 1.1331905094974233000E-3 " "
absolute error = 8.2738720388886300000000000000E-14 " "
relative error = 7.3013954572863770000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.75391021630620300E-2 " "
Order of pole (three term test) = 22.002265096898427 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.769999999999880 " "
y[1] (analytic) = 1.6590558431055502000E-3 " "
y[1] (numeric) = 1.6590558430228214000E-3 " "
absolute error = 8.27287457288994300000000000000E-14 " "
relative error = 4.986495546409174000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.74836290883190400E-2 " "
Order of pole (three term test) = 22.003315359219922 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.77999999999988 " "
y[1] (analytic) = 2.2847544390985908000E-3 " "
y[1] (numeric) = 2.284754439015893000E-3 " "
absolute error = 8.26977375467663500000000000000E-14 " "
relative error = 3.6195459840924205000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.74051633283789300E-2 " "
Order of pole (three term test) = 22.004564288775356 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.78999999999988 " "
y[1] (analytic) = 3.0102237282211286000E-3 " "
y[1] (numeric) = 3.010223728138453000E-3 " "
absolute error = 8.26756198224476400000000000000E-14 " "
relative error = 2.746494190692738000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.72997364018310200E-2 " "
Order of pole (three term test) = 22.006011386009543 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.79999999999988 " "
y[1] (analytic) = 3.8353911641487715000E-3 " "
y[1] (numeric) = 3.835391164066145000E-3 " "
absolute error = 8.2626613884251300000000000000E-14 " "
relative error = 2.154320389967042000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.71633906113717000E-2 " "
Order of pole (three term test) = 22.007656072102915 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.80999999999988 " "
y[1] (analytic) = 4.760174230825642300E-3 " "
y[1] (numeric) = 4.760174230743012000E-3 " "
absolute error = 8.26300833312032500000000000000E-14 " "
relative error = 1.735862582426341800000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.69921806268310300E-2 " "
Order of pole (three term test) = 22.009497689202945 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.8199999999998795 " "
y[1] (analytic) = 5.784480450715668000E-3 " "
y[1] (numeric) = 5.784480450633037000E-3 " "
absolute error = 8.26300833312032500000000000000E-14 " "
relative error = 1.4284789106855758000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10678217506325137 " "
Order of pole (three term test) = 22.011535500687344 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.829999999999880 " "
y[1] (analytic) = 6.908207394050403000E-3 " "
y[1] (numeric) = 6.908207393967819000E-3 " "
absolute error = 8.25841131590898700000000000000E-14 " "
relative error = 1.195449245345678000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11652945805338974 " "
Order of pole (three term test) = 22.013768691458708 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.839999999999879 " "
y[1] (analytic) = 8.13124268907206000E-3 " "
y[1] (numeric) = 8.131242688989457000E-3 " "
absolute error = 8.26023277555876200000000000000E-14 " "
relative error = 1.0158635145228243000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12623013081401216 " "
Order of pole (three term test) = 22.016196368270474 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.849999999999879 " "
y[1] (analytic) = 9.453464033270187000E-3 " "
y[1] (numeric) = 9.453464033187645000E-3 " "
absolute error = 8.25416124339284400000000000000E-14 " "
relative error = 8.7313615562966560000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13588031320535496 " "
Order of pole (three term test) = 22.018817560084308 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.859999999999879 " "
y[1] (analytic) = 1.087473920561232700E-2 " "
y[1] (numeric) = 1.087473920552980800E-2 " "
absolute error = 8.25190610287407400000000000000E-14 " "
relative error = 7.5881416067572080000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.145476145283129 " "
Order of pole (three term test) = 22.021631218458435 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.869999999999878 " "
y[1] (analytic) = 1.239492607976555600E-2 " "
y[1] (numeric) = 1.239492607968310500E-2 " "
absolute error = 8.24514068131776400000000000000E-14 " "
relative error = 6.6520289255922020000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1550137888424458 " "
Order of pole (three term test) = 22.024636217967004 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.879999999999878 " "
y[1] (analytic) = 1.401387263830933300E-2 " "
y[1] (numeric) = 1.401387263822693700E-2 " "
absolute error = 8.23958956619463800000000000000E-14 " "
relative error = 5.8795950119243290000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16448942895304855 " "
Order of pole (three term test) = 22.027831356650292 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.889999999999878 " "
y[1] (analytic) = 1.573141698793700800E-2 " "
y[1] (numeric) = 1.573141698785456800E-2 " "
absolute error = 8.24409984723217800000000000000E-14 " "
relative error = 5.240532275988761000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17389927548523346 " "
Order of pole (three term test) = 22.031215356495423 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.899999999999878 " "
y[1] (analytic) = 1.754738737564465200E-2 " "
y[1] (numeric) = 1.75473873755623180E-2 " "
absolute error = 8.23334456168112200000000000000E-14 " "
relative error = 4.692062918214710600000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1832395646258501 " "
Order of pole (three term test) = 22.03478686394758 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.909999999999878 " "
y[1] (analytic) = 1.94616022059070910E-2 " "
y[1] (numeric) = 1.94616022058247180E-2 " "
absolute error = 8.23716095332827100000000000000E-14 " "
relative error = 4.2325194329725240000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1925065603837781 " "
Order of pole (three term test) = 22.03854445045139 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.919999999999877 " "
y[1] (analytic) = 2.147387005883616400E-2 " "
y[1] (numeric) = 2.14738700587539220E-2 " "
absolute error = 8.22432399960604200000000000000E-14 " "
relative error = 3.8299216569124495000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20169655608427273 " "
Order of pole (three term test) = 22.04248661302237 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.929999999999877 " "
y[1] (analytic) = 2.35839897093237380E-2 " "
y[1] (numeric) = 2.358398970924151500E-2 " "
absolute error = 8.2222423314348700000000000000E-14 " "
relative error = 3.48636614617596900000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21080587585158483 " "
Order of pole (three term test) = 22.04661177484804 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.939999999999877 " "
y[1] (analytic) = 2.57917501471630600E-2 " "
y[1] (numeric) = 2.579175014708088000E-2 " "
absolute error = 8.21842593978772100000000000000E-14 " "
relative error = 3.1864553172603140000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21983087607926413 " "
Order of pole (three term test) = 22.050918285918673 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.949999999999877 " "
y[1] (analytic) = 2.809693059815021600E-2 " "
y[1] (numeric) = 2.80969305980680200E-2 " "
absolute error = 8.21946677387330700000000000000E-14 " "
relative error = 2.92539668885199940000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22876794688755087 " "
Order of pole (three term test) = 22.05540442368726 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.9599999999998765 " "
y[1] (analytic) = 3.0499300546160900E-2 " "
y[1] (numeric) = 3.04993005460788200E-2 " "
absolute error = 8.2080175989318600000000000000E-14 " "
relative error = 2.6912150285246605000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23761351356728136 " "
Order of pole (three term test) = 22.060068393758517 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.969999999999876 " "
y[1] (analytic) = 3.29986197562024400E-2 " "
y[1] (numeric) = 3.299861975612044500E-2 " "
absolute error = 8.19969092624717200000000000000E-14 " "
relative error = 2.4848587567684413000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24636403800972273 " "
Order of pole (three term test) = 22.06490833060659 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.979999999999876 " "
y[1] (analytic) = 3.559463829843667600E-2 " "
y[1] (numeric) = 3.55946382983546500E-2 " "
absolute error = 8.20246648380873500000000000000E-14 " "
relative error = 2.30441068540623130000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25501602012177016 " "
Order of pole (three term test) = 22.06992229832127 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.989999999999876 " "
y[1] (analytic) = 3.82870965731725300E-2 " "
y[1] (numeric) = 3.828709657309055000E-2 " "
absolute error = 8.19760925807600000000000000E-14 " "
relative error = 2.1410892942506382000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2635659992259373 " "
Order of pole (three term test) = 22.07510829138234 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.999999999999876 " "
y[1] (analytic) = 4.10757253368262400E-2 " "
y[1] (numeric) = 4.10757253367443900E-2 " "
absolute error = 8.18511924904896700000000000000E-14 " "
relative error = 1.99269013071100600000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2720105554445807 " "
Order of pole (three term test) = 22.0804642354617 " "
"NO COMPLEX POLE (six term test) for Equation 1"
"Finished!"
"diff ( y , x , 1 ) = cos ( x ) ; "
Iterations = 1001
"Total Elapsed Time "= 31 Seconds
"Elapsed Time(since restart) "= 31 Seconds
"Time to Timeout "= 9 Minutes 28 Seconds
Percent Done = 100.19999999999875 "%"
(%o223) true
(%o223) diffeq.max