(%i1) batch("diffeq.max")
read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max
(%i2) load("stringproc")
(%i3) alias(convfloat,float)
(%i4) alias(int_trunc,truncate)
(%i5) alias(elapsed_time_seconds,elapsed_real_time)
(%i6) alias(ln,log)
(%i7) alias(arcsin,asin)
(%i8) alias(arccos,acos)
(%i9) alias(arctan,atan)
(%i10) alias(float_abs,abs)
(%i11) keepfloat:true
(%i12) mode_declare(display_poles(),fixnum)
(%i13) mode_declare(est_size_answer(),convfloat)
(%i14) mode_declare(test_suggested_h(),convfloat)
(%i15) mode_declare(reached_interval(),boolean)
(%i16) mode_declare(display_alot([iter],fixnum),fixnum)
(%i17) mode_declare(prog_report([x_start],convfloat,[x_end],convfloat),fixnum)
(%i18) mode_declare(check_for_pole(),fixnum)
(%i19) mode_declare(atomall(),fixnum)
(%i20) mode_declare(log10([x],convfloat),convfloat)
(%i21) mode_declare(logitem_timestr([fd],fixnum,[secs_in],number),fixnum)
(%i22) mode_declare(omniout_timestr(secs_in,number),fixnum)
(%i23) mode_declare(zero_ats_ar(ar,array([MAX_TERMS],convfloat)),fixnum)
(%i24) mode_declare(ats([mmm_ats],fixnum,[arr_a],
completearray([MAX_TERMS],convfloat),[arr_b],
completearray([MAX_TERMS],convfloat),[jjj_ats],
fixnum),convfloat)
(%i25) mode_declare(att([mmm_att],fixnum,[arr_a],
completearray([MAX_TERMS],convfloat),[arr_b],
completearray([MAX_TERMS],convfloat),[jjj_att],
fixnum),convfloat)
(%i26) mode_declare(logitem_ditto([file],fixnum),fixnum)
(%i27) mode_declare(logitem_integer([file],fixnum,[n],fixnum),fixnum)
(%i28) mode_declare(logitem_good_digits([file],fixnum,[relerror],convfloat),fixnum)
(%i29) mode_declare(logitem_number([file],fixnum,[x],number),fixnum)
(%i30) mode_declare(logitem_pole([file],fixnum,[pole],fixnum),fixnum)
(%i31) mode_declare(logstart([file],fixnum),fixnum)
(%i32) mode_declare(logend([file],fixnum),fixnum)
(%i33) mode_declare(chk_data(),fixnum)
(%i34) mode_declare(comp_expect_sec([t_end2],convfloat,[t_start2],convfloat,
[t2],convfloat,[clock_sec2],convfloat),
convfloat)
(%i35) mode_declare(comp_percent([t_end2],convfloat,[start2],convfloat,[t2],
convfloat),convfloat)
(%i36) mode_declare(comp_rad_from_ratio([term1],convfloat,[term2],convfloat,
[last_no],fixnum),convfloat)
(%i37) mode_declare(comp_ord_from_ratio([term1],convfloat,[term2],convfloat,
[last_no],fixnum),convfloat)
(%i38) mode_declare(comp_rad_from_three_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[last_no],fixnum),convfloat)
(%i39) mode_declare(comp_ord_from_three_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[last_no],fixnum),convfloat)
(%i40) mode_declare(comp_rad_from_six_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[term4],convfloat,[term5],
convfloat,[term6],convfloat,
[last_no],fixnum),convfloat)
(%i41) mode_declare(comp_ord_from_six_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[term4],convfloat,[term5],
convfloat,[term6],convfloat,
[last_no],fixnum),convfloat)
(%i42) mode_declare(factorial_2([nnn],fixnum),fixnum)
(%i43) mode_declare(factorial_1([nnn],fixnum),fixnum)
(%i44) mode_declare(factorial_3([mmm],fixnum,[nnn],fixnum),fixnum)
(%i45) mode_declare(convfloat([mmm],fixnum),convfloat)
(%i46) mode_declare(elaped_time_seconds(),convfloat)
(%i47) mode_declare(Si([x],convfloat),convfloat)
(%i48) mode_declare(Ci([x],convfloat),convfloat)
(%i49) mode_declare(estimated_needed_step_error([x_start],convfloat,[x_end],
convfloat,[estimated_h],
convfloat,[estimated_answer],
convfloat),convfloat)
(%i50) mode_declare(my_check_sign([x0],convfloat,[xf],convfloat),convfloat)
(%i51) mode_declare(main_prog(),fixnum)
(%i52) define_variable(MAX_TERMS,40,fixnum)
(%i53) define_variable(glob_iolevel,5,fixnum)
(%i54) define_variable(glob_yes_pole,4,fixnum)
(%i55) define_variable(glob_no_pole,3,fixnum)
(%i56) define_variable(glob_not_given,0,fixnum)
(%i57) define_variable(glob_no_sing_tests,4,fixnum)
(%i58) define_variable(glob_ratio_test,1,fixnum)
(%i59) define_variable(glob_three_term_test,2,fixnum)
(%i60) define_variable(glob_six_term_test,3,fixnum)
(%i61) define_variable(glob_log_10,log(10.0),convfloat)
(%i62) define_variable(ALWAYS,1,fixnum)
(%i63) define_variable(INFO,2,fixnum)
(%i64) define_variable(DEBUGL,3,fixnum)
(%i65) define_variable(DEBUGMASSIVE,4,fixnum)
(%i66) define_variable(MAX_UNCHANGED,10,fixnum)
(%i67) define_variable(glob_check_sign,1.0,convfloat)
(%i68) define_variable(glob_desired_digits_correct,8.0,convfloat)
(%i69) define_variable(glob_max_estimated_step_error,0.0,convfloat)
(%i70) define_variable(glob_ratio_of_radius,0.1,convfloat)
(%i71) define_variable(glob_percent_done,0.0,convfloat)
(%i72) define_variable(glob_subiter_method,3,fixnum)
(%i73) define_variable(glob_total_exp_sec,0.1,convfloat)
(%i74) define_variable(glob_optimal_expect_sec,0.1,convfloat)
(%i75) define_variable(glob_estimated_size_answer,100.0,convfloat)
(%i76) define_variable(glob_html_log,true,boolean)
(%i77) define_variable(glob_good_digits,0,fixnum)
(%i78) define_variable(glob_max_opt_iter,10,fixnum)
(%i79) define_variable(glob_dump,false,boolean)
(%i80) define_variable(glob_djd_debug,true,boolean)
(%i81) define_variable(glob_display_flag,true,boolean)
(%i82) define_variable(glob_djd_debug2,true,boolean)
(%i83) define_variable(glob_h_reason,0,fixnum)
(%i84) define_variable(glob_sec_in_minute,60,fixnum)
(%i85) define_variable(glob_min_in_hour,60.0,convfloat)
(%i86) define_variable(glob_hours_in_day,24.0,convfloat)
(%i87) define_variable(glob_days_in_year,365,fixnum)
(%i88) define_variable(glob_sec_in_hour,3600,fixnum)
(%i89) define_variable(glob_sec_in_day,86400,fixnum)
(%i90) define_variable(glob_sec_in_year,31536000,fixnum)
(%i91) define_variable(glob_almost_1,0.999,convfloat)
(%i92) define_variable(glob_clock_sec,0.0,convfloat)
(%i93) define_variable(glob_clock_start_sec,0.0,convfloat)
(%i94) define_variable(glob_not_yet_finished,true,boolean)
(%i95) define_variable(glob_initial_pass,true,boolean)
(%i96) define_variable(glob_not_yet_start_msg,true,boolean)
(%i97) define_variable(glob_reached_optimal_h,false,boolean)
(%i98) define_variable(glob_optimal_done,false,boolean)
(%i99) define_variable(glob_disp_incr,0.1,convfloat)
(%i100) define_variable(glob_h,0.1,convfloat)
(%i101) define_variable(glob_diff_rc_fm,0.1,convfloat)
(%i102) define_variable(glob_diff_rc_fmm1,0.1,convfloat)
(%i103) define_variable(glob_diff_rc_fmm2,0.1,convfloat)
(%i104) define_variable(glob_diff_ord_fm,0.1,convfloat)
(%i105) define_variable(glob_diff_ord_fmm1,0.1,convfloat)
(%i106) define_variable(glob_diff_ord_fmm2,0.1,convfloat)
(%i107) define_variable(glob_six_term_ord_save,0.1,convfloat)
(%i108) define_variable(glob_guess_error_rc,0.1,convfloat)
(%i109) define_variable(glob_guess_error_ord,0.1,convfloat)
(%i110) define_variable(glob_max_h,0.1,convfloat)
(%i111) define_variable(glob_min_h,1.0E-6,convfloat)
(%i112) define_variable(glob_type_given_pole,0,fixnum)
(%i113) define_variable(glob_large_float,1.0E+100,convfloat)
(%i114) define_variable(glob_larger_float,1.1E+100,convfloat)
(%i115) define_variable(glob_least_given_sing,9.9E+100,convfloat)
(%i116) define_variable(glob_least_ratio_sing,9.9E+100,convfloat)
(%i117) define_variable(glob_least_3_sing,9.9E+100,convfloat)
(%i118) define_variable(glob_least_6_sing,9.9E+100,convfloat)
(%i119) define_variable(glob_last_good_h,0.1,convfloat)
(%i120) define_variable(glob_look_poles,false,boolean)
(%i121) define_variable(glob_display_interval,0.0,convfloat)
(%i122) define_variable(glob_next_display,0.0,convfloat)
(%i123) define_variable(glob_dump_analytic,false,boolean)
(%i124) define_variable(glob_abserr,1.0E-11,convfloat)
(%i125) define_variable(glob_relerr,1.0E-11,convfloat)
(%i126) define_variable(glob_min_pole_est,1.0E+9,convfloat)
(%i127) define_variable(glob_max_hours,0.0,convfloat)
(%i128) define_variable(glob_max_iter,1000,fixnum)
(%i129) define_variable(glob_max_rel_trunc_err,1.0E-11,convfloat)
(%i130) define_variable(glob_max_trunc_err,1.0E-11,convfloat)
(%i131) define_variable(glob_no_eqs,0,fixnum)
(%i132) define_variable(glob_optimal_clock_start_sec,0.0,convfloat)
(%i133) define_variable(glob_optimal_start,0.0,convfloat)
(%i134) define_variable(glob_upper_ratio_limit,1.0001,convfloat)
(%i135) define_variable(glob_lower_ratio_limit,0.9999,convfloat)
(%i136) define_variable(glob_small_float,0.0,convfloat)
(%i137) define_variable(glob_smallish_float,0.0,convfloat)
(%i138) define_variable(glob_unchanged_h_cnt,0,fixnum)
(%i139) define_variable(glob_warned,false,boolean)
(%i140) define_variable(glob_warned2,false,boolean)
(%i141) define_variable(glob_max_sec,10000.0,convfloat)
(%i142) define_variable(glob_orig_start_sec,0.0,convfloat)
(%i143) define_variable(glob_start,0,fixnum)
(%i144) define_variable(glob_curr_iter_when_opt,0,fixnum)
(%i145) define_variable(glob_current_iter,0,fixnum)
(%i146) define_variable(glob_iter,0,fixnum)
(%i147) define_variable(glob_normmax,0.0,convfloat)
(%i148) define_variable(glob_max_minutes,0.0,convfloat)
(%i149) array(array_y_init,MAX_TERMS)
(%i150) array(array_norms,MAX_TERMS)
(%i151) array(array_fact_1,MAX_TERMS)
(%i152) array(array_1st_rel_error,2)
(%i153) array(array_last_rel_error,2)
(%i154) array(array_type_pole,2)
(%i155) array(array_type_real_pole,2)
(%i156) array(array_type_complex_pole,2)
(%i157) array(array_y,MAX_TERMS)
(%i158) array(array_x,MAX_TERMS)
(%i159) array(array_tmp0,MAX_TERMS)
(%i160) array(array_tmp1,MAX_TERMS)
(%i161) array(array_tmp2,MAX_TERMS)
(%i162) array(array_tmp3,MAX_TERMS)
(%i163) array(array_tmp4_g,MAX_TERMS)
(%i164) array(array_tmp4_a1,MAX_TERMS)
(%i165) array(array_tmp4_a2,MAX_TERMS)
(%i166) array(array_tmp4,MAX_TERMS)
(%i167) array(array_tmp5,MAX_TERMS)
(%i168) array(array_m1,MAX_TERMS)
(%i169) array(array_y_higher,2,MAX_TERMS)
(%i170) array(array_y_higher_work,2,MAX_TERMS)
(%i171) array(array_y_higher_work2,2,MAX_TERMS)
(%i172) array(array_y_set_initial,2,MAX_TERMS)
(%i173) array(array_given_rad_poles,2,3)
(%i174) array(array_given_ord_poles,2,3)
(%i175) array(array_rad_test_poles,2,4)
(%i176) array(array_ord_test_poles,2,4)
(%i177) array(array_fact_2,MAX_TERMS,MAX_TERMS)
(%i178) omniout_str(iolevel,str):=if glob_iolevel >= iolevel
then printf(true,"~a~%",string(str))
(%i179) omniout_str_noeol(iolevel,str):=if glob_iolevel >= iolevel
then printf(true,"~a",string(str))
(%i180) omniout_labstr(iolevel,label,str):=if glob_iolevel >= iolevel
then printf(true,"~a = ~a~%",string(label),
string(str))
(%i181) 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))
(%i182) omniout_int(iolevel,prelabel,prelen,value,vallen,postlabel):=if
glob_iolevel >= iolevel
then (printf(true,"~a = ~d ~a~%",prelabel,value,
postlabel),newline())
(%i183) omniout_float_arr(iolevel,prelabel,elemnt,prelen,value,vallen,
postlabel):=if glob_iolevel >= iolevel
then (sprint(prelabel,"[",elemnt,"]=",value,
postlabel),newline())
(%i184) 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)
(%i185) 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)
(%i186) 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)
(%i187) 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)
(%i188) 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)
(%i189) logditto(file):=(printf(file,""),printf(file,"ditto"),
printf(file," | "),0)
(%i190) logitem_integer(file,n):=(printf(file,""),printf(file,"~d",n),
printf(file," | "),0)
(%i191) logitem_str(file,str):=(printf(file,""),printf(file,str),
printf(file," | "),0)
(%i192) 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)
(%i193) log_revs(file,revs):=printf(file,revs)
(%i194) logitem_float(file,x):=(printf(file,""),printf(file,"~g",x),
printf(file," | "),0)
(%i195) logitem_h_reason(file):=(printf(file,""),
if glob_h_reason = 1 then printf(file,"Max H")
elseif glob_h_reason = 2
then printf(file,"Display_interval")
elseif glob_h_reason = 3
then printf(file,"Optimal")
elseif glob_h_reason = 4
then printf(file,"Pole Accuracy")
elseif glob_h_reason = 5
then printf(file,"Min H (Pole)")
elseif glob_h_reason = 6 then printf(file,"Pole")
else printf(file,"Impossible"),
printf(file," | "),0)
(%i196) logstart(file):=(printf(file,""),0)
(%i197) logend(file):=(printf(file,"
~%"),0)
(%i198) 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)
(%i199) 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)
(%i200) 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)
(%i201) 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)
(%i202) 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)
(%i203) 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)
(%i204) 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)
(%i205) 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)
(%i206) comp_ord_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):=glob_six_term_ord_save
(%i207) factorial_2(nnn):=nnn!
(%i208) 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)
(%i209) 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)
(%i210) log10(x):=log(x)/glob_log_10
(%i211) expt(x,y):=(if x <= 0.0 and y < 0.0
then print("expt error x = ",x,"y = ",y),x^y)
(%i212) 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
/sqrt(estimated_steps)),
omniout_float(ALWAYS,"step_error",32,
step_error,32,""),
step_error)
(%i213) exact_soln_y(x):=block(0.0)
(%o213) exact_soln_y(x) := block(0.0)
(%i214) display_poles():=(
block(mode_declare([[rad_given],convfloat]),
if glob_type_given_pole = 1
or glob_type_given_pole = 2
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])),
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," "),
if rad_given < glob_least_given_sing
then glob_least_given_sing
:rad_given)
elseif glob_type_given_pole = 3
then omniout_str(ALWAYS,
"NO POLE (given) for Equation 1")
elseif glob_type_given_pole = 5
then omniout_str(ALWAYS,
"SOME 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)
(%i215) my_check_sign(x0,xf):=block([ret],if xf > x0 then ret:1.0
else ret:-1.0,ret)
(%i216) 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)
(%i217) 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)
(%i218) 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))
(%i219) 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)
(%i220) 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)
(%i221) 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),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)),
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)),
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,
omniout_str(ALWAYS,
"SETTING H FOR POLE"),
glob_h_reason:6,
if
glob_check_sign*glob_min_h
> glob_check_sign*h_new
then (
omniout_str(ALWAYS,
"SETTING H FOR MIN H"),
h_new:glob_min_h,glob_h_reason:5),
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)
(%i222) atomall():=(
block(mode_declare([[kkk,order_d],fixnum,
[adj2,adj3,temporary,term,temp,temp2],
convfloat]),
array_tmp1[1]:array_const_2D0[1]*array_x[1],
array_tmp2[1]:array_const_3D0[1]+array_tmp1[1],
array_tmp3[1]:sqrt(array_tmp2[1]),
array_tmp4_a1[1]:sin(array_tmp3[1]),
array_tmp4_a2[1]:cos(array_tmp3[1]),
array_tmp4[1]:array_tmp4_a1[1]/array_tmp4_a2[1],
array_tmp5[1]:array_tmp4[1]+array_const_0D0[1],
if not array_y_set_initial[1,2]
then (if 1 <= MAX_TERMS
then (
temporary
:array_tmp5[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_const_2D0[1]*array_x[2],
array_tmp2[2]:array_tmp1[2],
array_tmp3[2]:array_tmp2[2]/array_tmp3[1]/2.0,
array_tmp4_a1[2]:att(1,array_tmp4_a2,array_tmp3,1),
array_tmp4_a2[2]:-att(1,array_tmp4_a1,array_tmp3,1),
array_tmp4[2]:(array_tmp4_a1[2]
-ats(2,array_tmp4_a2,array_tmp4,2))
/array_tmp4_a2[1],
array_tmp5[2]:array_tmp4[2],
if not array_y_set_initial[1,3]
then (if 2 <= MAX_TERMS
then (
temporary
:array_tmp5[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_tmp3[3]:0.0,
array_tmp3[3]:(-ats(3,array_tmp3,array_tmp3,2))
/array_tmp3[1]
/2.0,
array_tmp4_a1[3]:att(2,array_tmp4_a2,array_tmp3,1),
array_tmp4_a2[3]:-att(2,array_tmp4_a1,array_tmp3,1),
array_tmp4[3]:(array_tmp4_a1[3]
-ats(3,array_tmp4_a2,array_tmp4,2))
/array_tmp4_a2[1],
array_tmp5[3]:array_tmp4[3],
if not array_y_set_initial[1,4]
then (if 3 <= MAX_TERMS
then (
temporary
:array_tmp5[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_tmp3[4]:0.0,
array_tmp3[4]:(-ats(4,array_tmp3,array_tmp3,2))
/array_tmp3[1]
/2.0,
array_tmp4_a1[4]:att(3,array_tmp4_a2,array_tmp3,1),
array_tmp4_a2[4]:-att(3,array_tmp4_a1,array_tmp3,1),
array_tmp4[4]:(array_tmp4_a1[4]
-ats(4,array_tmp4_a2,array_tmp4,2))
/array_tmp4_a2[1],
array_tmp5[4]:array_tmp4[4],
if not array_y_set_initial[1,5]
then (if 4 <= MAX_TERMS
then (
temporary
:array_tmp5[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_tmp3[5]:0.0,
array_tmp3[5]:(-ats(5,array_tmp3,array_tmp3,2))
/array_tmp3[1]
/2.0,
array_tmp4_a1[5]:att(4,array_tmp4_a2,array_tmp3,1),
array_tmp4_a2[5]:-att(4,array_tmp4_a1,array_tmp3,1),
array_tmp4[5]:(array_tmp4_a1[5]
-ats(5,array_tmp4_a2,array_tmp4,2))
/array_tmp4_a2[1],
array_tmp5[5]:array_tmp4[5],
if not array_y_set_initial[1,6]
then (if 5 <= MAX_TERMS
then (
temporary
:array_tmp5[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_tmp3[kkk]:0.0,
array_tmp3[kkk]
:(-ats(kkk,array_tmp3,array_tmp3,2))
/array_tmp3[1]
/2.0,
array_tmp4_a1[kkk]
:att(kkk-1,array_tmp4_a2,array_tmp3,1),
array_tmp4_a2[kkk]
:-att(kkk-1,array_tmp4_a1,array_tmp3,1),
array_tmp4[kkk]
:(array_tmp4_a1[kkk]
-ats(kkk,array_tmp4_a2,array_tmp4,2))
/array_tmp4_a2[1],
array_tmp5[kkk]:array_tmp4[kkk],order_d:1,
if order_d+kkk <= MAX_TERMS
then (if
not array_y_set_initial[1,order_d+kkk]
then (
temporary
:array_tmp5[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)
(%i223) exact_soln_y(x):=block(0.0)
(%o223) exact_soln_y(x) := block(0.0)
(%i224) 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,last_min_pole_est],
convfloat,[repeat_it],fixnum],[found_h],
boolean),Digits:32,max_terms:40,
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[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_tmp3[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp4_g[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp4_a1[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp4_a2[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp4[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp5[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 <= 4 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 <= 4 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),
zero_ats_ar(array_tmp2),zero_ats_ar(array_tmp3),
zero_ats_ar(array_tmp4_g),zero_ats_ar(array_tmp4_a1),
zero_ats_ar(array_tmp4_a2),zero_ats_ar(array_tmp4),
zero_ats_ar(array_tmp5),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_const_2D0),array_const_2D0[1]:2.0,
zero_ats_ar(array_const_3D0),array_const_3D0[1]:3.0,
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,
array_y_set_initial[1,31]:false,
array_y_set_initial[1,32]:false,
array_y_set_initial[1,33]:false,
array_y_set_initial[1,34]:false,
array_y_set_initial[1,35]:false,
array_y_set_initial[1,36]:false,
array_y_set_initial[1,37]:false,
array_y_set_initial[1,38]:false,
array_y_set_initial[1,39]:false,
array_y_set_initial[1,40]:false,ALWAYS:1,INFO:2,DEBUGL:3,
DEBUGMASSIVE:4,MAX_TERMS:40,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/tan_sqrt_linpostode.ode#################"),
omniout_str(ALWAYS,
"diff ( y , x , 1 ) = tan ( sqrt ( 2.0 * x + 3.0 ) ) ; "),
omniout_str(ALWAYS,"!"),
omniout_str(ALWAYS,"/* BEGIN FIRST INPUT BLOCK */"),
omniout_str(ALWAYS,"Digits:32,"),
omniout_str(ALWAYS,"max_terms:40,"),omniout_str(ALWAYS,"!"),
omniout_str(ALWAYS,"/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS,"/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS,"x_start:0.1,"),
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_min_h:0.001,"),
omniout_str(ALWAYS,""),omniout_str(ALWAYS,""),
omniout_str(ALWAYS,""),omniout_str(ALWAYS,""),
omniout_str(ALWAYS,""),omniout_str(ALWAYS,""),
omniout_str(ALWAYS,""),
omniout_str(ALWAYS,"glob_type_given_pole:1,"),
omniout_str(ALWAYS,""),
omniout_str(ALWAYS,"array_given_rad_poles[1,1]:-1.5,"),
omniout_str(ALWAYS,""),
omniout_str(ALWAYS,"array_given_rad_poles[1,2]:0.0,"),
omniout_str(ALWAYS,""),
omniout_str(ALWAYS,"array_given_ord_poles[1,1]:0.5,"),
omniout_str(ALWAYS,""),
omniout_str(ALWAYS,"array_given_ord_poles[1,2]:0.0,"),
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:100000000,"),
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," (0.0) "),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:0.1,x_end:5.0,
array_y_init[1+0]:exact_soln_y(x_start),
glob_look_poles:true,glob_min_h:0.001,
glob_type_given_pole:1,array_given_rad_poles[1,1]:-1.5,
array_given_rad_poles[1,2]:0.0,
array_given_ord_poles[1,1]:0.5,
array_given_ord_poles[1,2]:0.0,
glob_desired_digits_correct:10,glob_display_interval:0.01,
glob_look_poles:true,glob_max_iter:100000000,
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_min_pole_est:glob_larger_float,
last_min_pole_est:glob_larger_float,
glob_least_given_sing:glob_larger_float,
glob_least_ratio_sing:glob_larger_float,
glob_least_3_sing:glob_larger_float,
glob_least_6_sing:glob_larger_float,
glob_min_h:abs(glob_min_h)*glob_check_sign,
glob_max_h:abs(glob_max_h)*glob_check_sign,
glob_h:abs(glob_min_h)*glob_check_sign,
glob_display_interval:abs(glob_display_interval)
*glob_check_sign,chk_data(),
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(),
if glob_check_sign*glob_max_h
<= glob_check_sign*glob_h
then (omniout_str(ALWAYS,"SETTING H FOR MAX H"),
glob_h:glob_check_sign*abs(glob_max_h),
glob_h_reason:1,found_h:true),
if glob_check_sign*glob_display_interval
<= glob_check_sign*glob_h
then (omniout_str(ALWAYS,
"SETTING H FOR DISPLAY INTERVAL"),
glob_h_reason:2,
glob_h:glob_display_interval,found_h:true),
if glob_look_poles
then (check_for_pole(),
if opt_iter > 2 and not found_h
and (glob_min_pole_est
< 0.999*last_min_pole_est
or glob_min_pole_est
> 1.111
*last_min_pole_est)
then (
omniout_str(ALWAYS,
"SETTING H FOR POLE ACCURACY"),
glob_h_reason:4,found_h:true,
glob_h:glob_h/2.0,
last_min_pole_est:glob_min_pole_est)
else last_min_pole_est
:glob_min_pole_est),
if not found_h
then (est_answer:est_size_answer(),
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:test_suggested_h(),
omniout_float(ALWAYS,
"estimated_step_error",32,
estimated_step_error,32,""),
if estimated_step_error
< est_needed_step_err
then (
omniout_str(ALWAYS,
"Double H and LOOP"),
glob_h:glob_h*2.0)
else (
omniout_str(ALWAYS,
"Found H for OPTIMAL"),
found_h:true,glob_h_reason:3,
glob_h:glob_h/2.0)),
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 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,
glob_min_pole_est:glob_larger_float,
glob_least_given_sing:glob_larger_float,
glob_least_ratio_sing:glob_larger_float,
glob_least_3_sing:glob_larger_float,
glob_least_6_sing:glob_larger_float,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),
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 ) = tan ( sqrt ( 2.0 * x + 3.0 ) ) ; "),
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,
"2014-01-20T04:07:13-06:00"),
logitem_str(html_log_file,"Maxima"),
logitem_str(html_log_file,
"tan_sqrt_lin"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = tan ( sqrt ( 2.0 * x + 3.0 ) ) ; "),
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_h_reason(html_log_file),
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_type_given_pole = 0
then (
logitem_str(html_log_file,
"Not Given"),
logitem_str(html_log_file,"NA"),0)
elseif glob_type_given_pole = 4
then (
logitem_str(html_log_file,
"No Solution"),
logitem_str(html_log_file,"NA"),0)
elseif glob_type_given_pole = 5
then (
logitem_str(html_log_file,
"Some Pole"),
logitem_str(html_log_file,"????"),0)
elseif glob_type_given_pole = 3
then (
logitem_str(html_log_file,
"No Pole"),
logitem_str(html_log_file,"NA"),0)
elseif glob_type_given_pole = 1
then (
logitem_str(html_log_file,
"Real Sing"),
logitem_float(html_log_file,
glob_least_given_sing),
0) elseif glob_type_given_pole = 2
then (
logitem_str(html_log_file,
"Complex Sing"),
logitem_float(html_log_file,
glob_least_given_sing),
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,
" 249 | "),
logitem_str(html_log_file,
"tan_sqrt_lin diffeq.max"),
logitem_str(html_log_file,
"tan_sqrt_lin 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)))
(%i225) main():=(alias(convfloat,convfloat),compile(all),main_prog())
(%i226) 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.
warning: encountered undefined variable glob_h_reason 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 ALWAYS in translation.
warning: encountered undefined variable rad_given in translation.
warning: encountered undefined variable array_given_ord_poles 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 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 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: encountered undefined variable array_y_higher 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 ALWAYS in translation.
warning: encountered undefined variable glob_min_h in translation.
warning: encountered undefined variable h_new in translation.
warning: encountered undefined variable term in translation.
warning: encountered undefined variable ratio 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_const_2D0 in translation.
warning: encountered undefined variable array_tmp1 in translation.
warning: encountered undefined variable array_const_3D0 in translation.
warning: encountered undefined variable array_tmp2 in translation.
warning: encountered undefined variable array_tmp3 in translation.
warning: encountered undefined variable array_tmp4_a1 in translation.
warning: encountered undefined variable array_tmp4_a2 in translation.
warning: encountered undefined variable array_tmp4 in translation.
warning: encountered undefined variable array_const_0D0 in translation.
warning: encountered undefined variable array_tmp5 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: [found_h]
is not a built-in type; assuming it is a Maxima extension type.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: variable term (declared type [found_h]) assigned type fixnum.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable array_y_init in translation.
warning: variable term (declared type [found_h]) assigned type any.
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_tmp4_g in translation.
warning: encountered undefined variable array_m1 in translation.
warning: variable ord (declared type [found_h]) assigned type fixnum.
warning: encountered undefined variable ord in translation.
warning: variable ord (declared type [found_h]) assigned type any.
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: variable iiif (declared type [found_h]) assigned type fixnum.
warning: encountered undefined variable iiif in translation.
warning: variable jjjf (declared type [found_h]) assigned type fixnum.
warning: encountered undefined variable jjjf in translation.
warning: variable jjjf (declared type [found_h]) assigned type any.
warning: variable iiif (declared type [found_h]) assigned type any.
warning: encountered undefined variable INFO in translation.
warning: variable glob_orig_start_sec (declared type convfloat) assigned type any.
warning: variable opt_iter (declared type [found_h]) assigned type fixnum.
warning: encountered undefined variable ALWAYS in translation.
warning: variable x_start (declared type [found_h]) assigned type convfloat.
warning: variable x_end (declared type [found_h]) assigned type convfloat.
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_larger_float in translation.
warning: variable last_min_pole_est (declared type [found_h]) assigned type convfloat.
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: variable min_value (declared type [found_h]) assigned type convfloat.
warning: variable est_answer (declared type [found_h]) assigned type any.
warning: encountered undefined variable est_answer in translation.
warning: variable est_needed_step_err (declared type [found_h]) assigned type any.
warning: encountered undefined variable est_needed_step_err in translation.
warning: variable estimated_step_error (declared type [found_h]) assigned type convfloat.
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 [found_h].
warning: variable order_diff (declared type [found_h]) assigned type fixnum.
warning: variable term_no (declared type [found_h]) assigned type fixnum.
warning: encountered undefined variable order_diff in translation.
warning: variable term_no (declared type [found_h]) assigned type any.
warning: variable r_order (declared type [found_h]) assigned type fixnum.
warning: encountered undefined variable r_order in translation.
warning: encountered undefined variable rows in translation.
warning: variable it (declared type [found_h]) assigned type any.
warning: encountered undefined variable it in translation.
warning: variable r_order (declared type [found_h]) assigned type any.
warning: encountered undefined variable glob_min_pole_est in translation.
warning: encountered undefined variable last_min_pole_est in translation.
warning: encountered undefined variable glob_look_poles in translation.
warning: variable estimated_step_error (declared type [found_h]) assigned type any.
warning: encountered undefined variable estimated_step_error in translation.
warning: variable opt_iter (declared type [found_h]) assigned type any.
warning: variable html_log_file (declared type [found_h]) assigned type any.
warning: encountered undefined variable glob_html_log in translation.
warning: variable current_iter (declared type [found_h]) assigned type fixnum.
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_next_display in translation.
warning: variable calc_term (declared type [found_h]) assigned type fixnum.
warning: variable iii (declared type [found_h]) assigned type fixnum.
warning: encountered undefined variable calc_term in translation.
warning: variable iii (declared type [found_h]) assigned type any.
warning: variable temp_sum (declared type [found_h]) assigned type convfloat.
warning: encountered undefined variable temp_sum in translation.
warning: variable temp_sum (declared type [found_h]) assigned type any.
warning: encountered undefined variable html_log_file in translation.
warning: encountered undefined variable glob_type_given_pole in translation.
warning: encountered undefined variable glob_least_given_sing in translation.
warning: encountered undefined variable glob_least_ratio_sing in translation.
warning: encountered undefined variable glob_large_float 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 $MAIN_PROG : |$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 : $MIN_VALUE is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_REACHED_OPTIMAL_H 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/tan_sqrt_linpostode.ode#################"
"diff ( y , x , 1 ) = tan ( sqrt ( 2.0 * x + 3.0 ) ) ; "
"!"
"/* BEGIN FIRST INPUT BLOCK */"
"Digits:32,"
"max_terms:40,"
"!"
"/* END FIRST INPUT BLOCK */"
"/* BEGIN SECOND INPUT BLOCK */"
"x_start:0.1,"
"x_end:5.0,"
"array_y_init[0 + 1] : exact_soln_y(x_start),"
"glob_look_poles:true,"
"glob_min_h:0.001,"
""
""
""
""
""
""
""
"glob_type_given_pole:1,"
""
"array_given_rad_poles[1,1]:-1.5,"
""
"array_given_rad_poles[1,2]:0.0,"
""
"array_given_ord_poles[1,1]:0.5,"
""
"array_given_ord_poles[1,2]:0.0,"
"/* END SECOND INPUT BLOCK */"
"/* BEGIN OVERRIDE BLOCK */"
"glob_desired_digits_correct:10,"
"glob_display_interval:0.01,"
"glob_look_poles:true,"
"glob_max_iter:100000000,"
"glob_max_minutes:10.0,"
"glob_subiter_method:3,"
"/* END OVERRIDE BLOCK */"
"!"
"/* BEGIN USER DEF BLOCK */"
"exact_soln_y (x) := (block("
" (0.0) "
"));"
"/* 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 = 1.000E-3 ""
estimated_answer = 1. ""
desired_abs_gbl_error = 1.0000000000E-10 ""
range = 4.9 ""
estimated_steps = 4900. ""
step_error = 1.4285714285714285000000000000E-12 ""
est_needed_step_err = 1.4285714285714285000000000000E-12 ""
opt_iter = 1
Radius of convergence (given) for eq 1 = 1.6 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
min_size = 0.0 ""
min_size = 1. ""
glob_desired_digits_correct = 10. ""
estimated_h = 1.000E-3 ""
estimated_answer = 1. ""
desired_abs_gbl_error = 1.0000000000E-10 ""
range = 4.9 ""
estimated_steps = 4900. ""
step_error = 1.4285714285714285000000000000E-12 ""
est_needed_step_err = 1.4285714285714285000000000000E-12 ""
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 9.72555409160187200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-113 ""
estimated_step_error = 9.72555409160187200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-113 ""
"Double H and LOOP"
opt_iter = 2
Radius of convergence (given) for eq 1 = 1.6 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
min_size = 0.0 ""
min_size = 1. ""
glob_desired_digits_correct = 10. ""
estimated_h = 2.000E-3 ""
estimated_answer = 1. ""
desired_abs_gbl_error = 1.0000000000E-10 ""
range = 4.9 ""
estimated_steps = 2450. ""
step_error = 2.0203050891044216000000000000E-12 ""
est_needed_step_err = 2.0203050891044216000000000000E-12 ""
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 6.680619765119523000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-102 ""
estimated_step_error = 6.680619765119523000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-102 ""
"Double H and LOOP"
opt_iter = 3
Radius of convergence (given) for eq 1 = 1.6 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
min_size = 0.0 ""
min_size = 1. ""
glob_desired_digits_correct = 10. ""
estimated_h = 4.000E-3 ""
estimated_answer = 1. ""
desired_abs_gbl_error = 1.0000000000E-10 ""
range = 4.9 ""
estimated_steps = 1225. ""
step_error = 2.857142857142857000000000000E-12 ""
est_needed_step_err = 2.857142857142857000000000000E-12 ""
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 4.5871392999195020000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-91 ""
estimated_step_error = 4.5871392999195020000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-91 ""
"Double H and LOOP"
opt_iter = 4
Radius of convergence (given) for eq 1 = 1.6 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
min_size = 0.0 ""
min_size = 1. ""
glob_desired_digits_correct = 10. ""
estimated_h = 8.000E-3 ""
estimated_answer = 1. ""
desired_abs_gbl_error = 1.0000000000E-10 ""
range = 4.9 ""
estimated_steps = 612.5 ""
step_error = 4.0406101782088430000000000000E-12 ""
est_needed_step_err = 4.0406101782088430000000000000E-12 ""
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 3.1471200016996703000000000000000000000000000000000000000000000000000000000000000000000000000000E-80 ""
estimated_step_error = 3.1471200016996703000000000000000000000000000000000000000000000000000000000000000000000000000000E-80 ""
"Double H and LOOP"
opt_iter = 5
"SETTING H FOR DISPLAY INTERVAL"
Radius of convergence (given) for eq 1 = 1.6 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
"START of Soultion"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = 0.0 " "
absolute error = 0.0 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.6 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -4.51307928083221900E-2 " "
absolute error = 4.51307928083221900E-2 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.61 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -8.90982318443914300E-2 " "
absolute error = 8.90982318443914300E-2 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.62 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.13196140093861786 " "
absolute error = 0.13196140093861786 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.63 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.17377491620618907 " "
absolute error = 0.17377491620618907 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.6400000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15000000000000002 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.21458936581142846 " "
absolute error = 0.21458936581142846 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.65 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16000000000000003 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.25445169691470043 " "
absolute error = 0.25445169691470043 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.6600000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17000000000000004 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.2934055572357878 " "
absolute error = 0.2934055572357878 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.67 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18000000000000005 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.33149159747494944 " "
absolute error = 0.33149159747494944 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.6800000000000002 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.19000000000000006 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.368747739853947 " "
absolute error = 0.368747739853947 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.69 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.20000000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.405209417232043 " "
absolute error = 0.405209417232043 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.7000000000000002 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.21000000000000008 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.440909786583186 " "
absolute error = 0.440909786583186 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.71 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22000000000000008 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.47587992006414676 " "
absolute error = 0.47587992006414676 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.7200000000000002 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2300000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.5101489764384568 " "
absolute error = 0.5101489764384568 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.73 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2400000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.5437443552310324 " "
absolute error = 0.5437443552310324 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.7400000000000002 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4062916845008055 " "
Order of pole (three term test) = 4.2500507163577050000E-4 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2500000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.5766918356600156 " "
absolute error = 0.5766918356600156 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.75 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.420883375112605 " "
Order of pole (three term test) = 5.1456812546502530000E-4 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2600000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.6090157021148923 " "
absolute error = 0.6090157021148923 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.7600000000000002 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4353822039466904 " "
Order of pole (three term test) = 6.115862007730680000E-4 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.27000000000000013 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.6407388577146539 " "
absolute error = 0.6407388577146539 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.77 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4497913253482817 " "
Order of pole (three term test) = 7.1697736484684320000E-4 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.28000000000000014 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.6718829272795712 " "
absolute error = 0.6718829272795712 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.7800000000000002 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.464113730302113 " "
Order of pole (three term test) = 8.3163337549576610000E-4 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.29000000000000015 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.7024683508792756 " "
absolute error = 0.7024683508792756 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.79 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4783522572965757 " "
Order of pole (three term test) = 9.5642475689012510000E-4 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.30000000000000016 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.7325144689735322 " "
absolute error = 0.7325144689735322 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.8000000000000003 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4925096023195488 " "
Order of pole (three term test) = 1.092204497241094100E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31000000000000016 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.7620396000364597 " "
absolute error = 0.7620396000364597 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.81 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5065883280706494 " "
Order of pole (three term test) = 1.2398105807172811000E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3200000000000002 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.7910611114467512 " "
absolute error = 0.7910611114467512 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.8200000000000003 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5205908724585557 " "
Order of pole (three term test) = 1.4000676726431818000E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3300000000000002 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.8195954843330218 " "
absolute error = 0.8195954843330218 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.83 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5345195564531773 " "
Order of pole (three term test) = 1.5737880549043218000E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3400000000000002 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.8476583729825083 " "
absolute error = 0.8476583729825083 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.8400000000000003 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5483765913461027 " "
Order of pole (three term test) = 1.7617720532256148000E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3500000000000002 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.8752646593511276 " "
absolute error = 0.8752646593511276 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.85 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.562164085476763 " "
Order of pole (three term test) = 1.9648079709437888000E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3600000000000002 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.902428503151788 " "
absolute error = 0.902428503151788 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.8600000000000003 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.575884050466809 " "
Order of pole (three term test) = 2.183671733566398800E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3700000000000002 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.9291633879445514 " "
absolute error = 0.9291633879445514 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.87 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5895384070073457 " "
Order of pole (three term test) = 2.419126255338627200E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3800000000000002 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.9554821636056399 " "
absolute error = 0.9554821636056399 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.8800000000000003 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.603128990235772 " "
Order of pole (three term test) = 2.6719206337050040000E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.39000000000000024 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -0.9813970855114494 " "
absolute error = 0.9813970855114494 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.8900000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.616657554737772 " "
Order of pole (three term test) = 2.942789190410435300E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.40000000000000024 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.0069198507378812 " "
absolute error = 1.0069198507378812 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.9000000000000004 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6301257792038397 " "
Order of pole (three term test) = 3.232450437319284700E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.41000000000000025 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.0320616315437465 " "
absolute error = 1.0320616315437465 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.9100000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.643535270768479 " "
Order of pole (three term test) = 3.5416059987388093000E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42000000000000026 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.0568331063791896 " "
absolute error = 1.0568331063791896 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.9200000000000004 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6568875690587876 " "
Order of pole (three term test) = 3.870939492525785000E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.43000000000000027 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.0812444886354913 " "
absolute error = 1.0812444886354913 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.9300000000000002 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.670184149972606 " "
Order of pole (three term test) = 4.221115441051534000E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4400000000000003 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.1053055533308707 " "
absolute error = 1.1053055533308707 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.9400000000000004 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6834264292102985 " "
Order of pole (three term test) = 4.59277817719255000E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4500000000000003 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.129025661907611 " "
absolute error = 1.129025661907611 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.9500000000000002 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.6966157655757073 " "
Order of pole (three term test) = 4.986550822717964500E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4600000000000003 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.1524137852987022 " "
absolute error = 1.1524137852987022 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.9600000000000004 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.7097534640658942 " "
Order of pole (three term test) = 5.403034298675694000E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4700000000000003 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.175478525406949 " "
absolute error = 1.175478525406949 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.9700000000000002 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.7228407787643965 " "
Order of pole (three term test) = 5.8428064087884280000E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4800000000000003 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.1982281351258992 " "
absolute error = 1.1982281351258992 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.9800000000000004 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.7358789155521452 " "
Order of pole (three term test) = 6.306420993900992000E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4900000000000003 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.2206705370198185 " "
absolute error = 1.2206705370198185 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 1.9900000000000002 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.7488690346498648 " "
Order of pole (three term test) = 6.794407159474964000E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5000000000000003 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.2428133407690858 " "
absolute error = 1.2428133407690858 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.0000000000000004 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.7618122530022018 " "
Order of pole (three term test) = 7.307268605995305000E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5100000000000003 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.2646638594776658 " "
absolute error = 1.2646638594776658 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.0100000000000002 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.7747096465175447 " "
Order of pole (three term test) = 7.845483011976246000E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5200000000000004 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.2862291249306017 " "
absolute error = 1.2862291249306017 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.0200000000000005 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.7875622521706835 " "
Order of pole (three term test) = 8.409501528077719000E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5300000000000004 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.30751590188164 " "
absolute error = 1.30751590188164 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.0300000000000002 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.8003710699788416 " "
Order of pole (three term test) = 8.999748352598069000E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5400000000000004 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.3285307014440606 " "
absolute error = 1.3285307014440606 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.0400000000000005 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.8131370648600724 " "
Order of pole (three term test) = 9.616620387588303000E-3 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5500000000000004 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.3492797936514362 " "
absolute error = 1.3492797936514362 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.0500000000000003 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.8258611683810975 " "
Order of pole (three term test) = 1.026048698440819300E-2 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5600000000000004 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.3697692192493287 " "
absolute error = 1.3697692192493287 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.0600000000000005 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.8385442804019887 " "
Order of pole (three term test) = 1.093168977297242800E-2 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5700000000000004 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.390004800773759 " "
absolute error = 1.390004800773759 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.0700000000000003 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.8511872706253296 " "
Order of pole (three term test) = 1.163054256197920700E-2 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5800000000000004 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.4099921529676154 " "
absolute error = 1.4099921529676154 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.0800000000000005 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.8637909800540147 " "
Order of pole (three term test) = 1.235733133746096100E-2 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5900000000000004 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.4297366925819286 " "
absolute error = 1.4297366925819286 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.0900000000000003 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.8763562223661499 " "
Order of pole (three term test) = 1.31123143099129900E-2 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6000000000000004 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.4492436476051156 " "
absolute error = 1.4492436476051156 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.1000000000000005 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.8888837852101472 " "
Order of pole (three term test) = 1.389572205302842000E-2 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6100000000000004 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.4685180659597996 " "
absolute error = 1.4685180659597996 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.1100000000000003 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.901374431426534 " "
Order of pole (three term test) = 1.470775769253143700E-2 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6200000000000004 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.4875648237036583 " "
absolute error = 1.4875648237036583 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.1200000000000006 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.9138289001994468 " "
Order of pole (three term test) = 1.554859717662774000E-2 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6300000000000004 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.5063886327678715 " "
absolute error = 1.5063886327678715 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.1300000000000003 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.9262479081444814 " "
Order of pole (three term test) = 1.641838958389654500E-2 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6400000000000005 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.5249940482641149 " "
absolute error = 1.5249940482641149 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.1400000000000006 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.938632150334067 " "
Order of pole (three term test) = 1.73172575063804300E-2 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6500000000000005 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.5433854753886604 " "
absolute error = 1.5433854753886604 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.1500000000000004 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6600000000000005 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.5615671759499594 " "
absolute error = 1.5615671759499594 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.1600000000000006 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6700000000000005 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.579543274544093 " "
absolute error = 1.579543274544093 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.1700000000000004 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6800000000000005 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.5973177644006482 " "
absolute error = 1.5973177644006482 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.1800000000000006 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6900000000000005 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.6148945129199168 " "
absolute error = 1.6148945129199168 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.1900000000000004 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7000000000000005 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.6322772669207744 " "
absolute error = 1.6322772669207744 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.2000000000000006 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7100000000000005 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.6494696576172032 " "
absolute error = 1.6494696576172032 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.2100000000000004 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7200000000000005 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.6664752053401317 " "
absolute error = 1.6664752053401317 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.2200000000000006 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7300000000000005 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.6832973240200784 " "
absolute error = 1.6832973240200784 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.2300000000000004 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7400000000000005 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.6999393254450024 " "
absolute error = 1.6999393254450024 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.2400000000000007 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7500000000000006 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.7164044233067606 " "
absolute error = 1.7164044233067606 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.2500000000000004 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7600000000000006 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.732695737048647 " "
absolute error = 1.732695737048647 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.2600000000000007 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7700000000000006 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.7488162955256426 " "
absolute error = 1.7488162955256426 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.2700000000000005 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7800000000000006 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.7647690404882115 " "
absolute error = 1.7647690404882115 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.2800000000000007 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7900000000000006 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.7805568298997654 " "
absolute error = 1.7805568298997654 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.2900000000000005 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8000000000000006 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.7961824410972351 " "
absolute error = 1.7961824410972351 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.3000000000000007 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8100000000000006 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.8116485738035786 " "
absolute error = 1.8116485738035786 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.3100000000000005 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8200000000000006 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.826957853000475 " "
absolute error = 1.826957853000475 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.3200000000000007 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8300000000000006 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.842112831668925 " "
absolute error = 1.842112831668925 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.3300000000000005 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8400000000000006 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.8571159934049828 " "
absolute error = 1.8571159934049828 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.3400000000000007 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8500000000000006 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.871969754917391 " "
absolute error = 1.871969754917391 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.3500000000000005 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8600000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.886676468413464 " "
absolute error = 1.886676468413464 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.3600000000000008 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8700000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.901238423879167 " "
absolute error = 1.901238423879167 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.3700000000000006 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8800000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.9156578512589801 " "
absolute error = 1.9156578512589801 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.380000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8900000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.9299369225407859 " "
absolute error = 1.9299369225407859 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.3900000000000006 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9000000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.9440777537507106 " "
absolute error = 1.9440777537507106 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.400000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9100000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.9580824068625464 " "
absolute error = 1.9580824068625464 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.4100000000000006 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9200000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.9719528916261106 " "
absolute error = 1.9719528916261106 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.420000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9300000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.9856911673186404 " "
absolute error = 1.9856911673186404 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.4300000000000006 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9400000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -1.999299144423079 " "
absolute error = 1.999299144423079 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.440000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9500000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.012778686236891 " "
absolute error = 2.012778686236891 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.4500000000000006 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9600000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.026131610414829 " "
absolute error = 2.026131610414829 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.460000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9700000000000008 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.0393596904488835 " "
absolute error = 2.0393596904488835 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.4700000000000006 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9800000000000008 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.052464657088461 " "
absolute error = 2.052464657088461 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.480000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9900000000000008 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.065448199703667 " "
absolute error = 2.065448199703667 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.4900000000000007 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0000000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.0783119675944106 " "
absolute error = 2.0783119675944106 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.500000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0100000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.091057571247895 " "
absolute error = 2.091057571247895 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.5100000000000007 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0200000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.103686583546917 " "
absolute error = 2.103686583546917 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.5200000000000005 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0300000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.1162005409312745 " "
absolute error = 2.1162005409312745 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.5300000000000007 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0400000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.1286009445144414 " "
absolute error = 2.1286009445144414 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.540000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0500000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.140889261157573 " "
absolute error = 2.140889261157573 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.5500000000000007 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0600000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.153066924502779 " "
absolute error = 2.153066924502779 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.5600000000000005 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0700000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.165135335967508 " "
absolute error = 2.165135335967508 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.5700000000000007 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0800000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.177095865701786 " "
absolute error = 2.177095865701786 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.580000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0900000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.1889498535099676 " "
absolute error = 2.1889498535099676 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.5900000000000007 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1000000000000008 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.2006986097385637 " "
absolute error = 2.2006986097385637 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.6000000000000005 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1100000000000008 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.212343416131635 " "
absolute error = 2.212343416131635 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.6100000000000008 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1200000000000008 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.223885526655169 " "
absolute error = 2.223885526655169 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.620000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1300000000000008 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.235326168291773 " "
absolute error = 2.235326168291773 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.630000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1400000000000008 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.2466665418069667 " "
absolute error = 2.2466665418069667 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.6400000000000006 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1500000000000008 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.257907822488278 " "
absolute error = 2.257907822488278 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.650000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1600000000000008 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.269051160858297 " "
absolute error = 2.269051160858297 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.660000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1700000000000008 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.2800976833627815 " "
absolute error = 2.2800976833627815 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.670000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1800000000000008 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.2910484930348542 " "
absolute error = 2.2910484930348542 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.6800000000000006 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1900000000000008 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.301904670136284 " "
absolute error = 2.301904670136284 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.690000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2000000000000008 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.3126672727767943 " "
absolute error = 2.3126672727767943 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.700000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2100000000000009 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.3233373375122937 " "
absolute error = 2.3233373375122937 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.710000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2200000000000009 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.333915879922891 " "
absolute error = 2.333915879922891 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.7200000000000006 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2300000000000009 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.3444038951715034 " "
absolute error = 2.3444038951715034 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.730000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2400000000000009 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.3548023585438362 " "
absolute error = 2.3548023585438362 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.740000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2500000000000009 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.365112225970481 " "
absolute error = 2.365112225970481 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.750000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.260000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.3753344345318297 " "
absolute error = 2.3753344345318297 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.7600000000000007 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.270000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.3854699029464883 " "
absolute error = 2.3854699029464883 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.770000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.280000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.3955195320438265 " "
absolute error = 2.3955195320438265 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.780000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.290000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.4054842052212835 " "
absolute error = 2.4054842052212835 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.790000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.300000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.415364788887012 " "
absolute error = 2.415364788887012 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.8000000000000007 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.310000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.425162132888428 " "
absolute error = 2.425162132888428 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.810000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.320000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.4348770709271936 " "
absolute error = 2.4348770709271936 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.820000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.330000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.444510420961153 " "
absolute error = 2.444510420961153 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.830000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.340000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.454062985593705 " "
absolute error = 2.454062985593705 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.8400000000000007 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.350000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.463535552451087 " "
absolute error = 2.463535552451087 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.850000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.360000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.4729288945480135 " "
absolute error = 2.4729288945480135 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.860000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.370000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.4822437706420986 " "
absolute error = 2.4822437706420986 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.870000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.380000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.4914809255774766 " "
absolute error = 2.4914809255774766 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.880000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.390000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.5006410906180103 " "
absolute error = 2.5006410906180103 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.890000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.400000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.5097249837704654 " "
absolute error = 2.5097249837704654 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.9000000000000012 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.410000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.518733310098009 " "
absolute error = 2.518733310098009 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.910000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.420000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.5276667620243845 " "
absolute error = 2.5276667620243845 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.920000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.430000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.5365260196290826 " "
absolute error = 2.5365260196290826 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.930000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.440000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.545311750933841 " "
absolute error = 2.545311750933841 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.9400000000000013 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.450000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.5540246121807644 " "
absolute error = 2.5540246121807644 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.950000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.460000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.5626652481023617 " "
absolute error = 2.5626652481023617 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.960000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.470000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.5712342921837865 " "
absolute error = 2.5712342921837865 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.970000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.480000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.579732366917538 " "
absolute error = 2.579732366917538 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.9800000000000013 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.490000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.588160084050893 " "
absolute error = 2.588160084050893 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 2.990000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.500000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.5965180448263077 " "
absolute error = 2.5965180448263077 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.000000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5100000000000011 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.604806840215032 " "
absolute error = 2.604806840215032 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.010000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5200000000000011 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.613027051144167 " "
absolute error = 2.613027051144167 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.0200000000000014 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5300000000000011 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.621179248717377 " "
absolute error = 2.621179248717377 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.030000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5400000000000011 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.6292639944294796 " "
absolute error = 2.6292639944294796 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.040000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5500000000000012 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.6372818403751057 " "
absolute error = 2.6372818403751057 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.050000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5600000000000012 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.6452333294516324 " "
absolute error = 2.6452333294516324 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.0600000000000014 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5700000000000012 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.653118995556571 " "
absolute error = 2.653118995556571 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.070000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5800000000000012 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.6609393637795966 " "
absolute error = 2.6609393637795966 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.080000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5900000000000012 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.668694950589388 " "
absolute error = 2.668694950589388 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.090000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6000000000000012 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.676386264015447 " "
absolute error = 2.676386264015447 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.1000000000000014 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6100000000000012 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.6840138038250596 " "
absolute error = 2.6840138038250596 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.110000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6200000000000012 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.6915780616955503 " "
absolute error = 2.6915780616955503 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.120000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6300000000000012 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.699079521381985 " "
absolute error = 2.699079521381985 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.1300000000000012 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6400000000000012 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.7065186588804586 " "
absolute error = 2.7065186588804586 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.1400000000000015 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6500000000000012 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.7138959425871114 " "
absolute error = 2.7138959425871114 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.1500000000000012 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6600000000000013 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.7212118334530055 " "
absolute error = 2.7212118334530055 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.160000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6700000000000013 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.728466785134991 " "
absolute error = 2.728466785134991 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.1700000000000013 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6800000000000013 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.7356612441426833 " "
absolute error = 2.7356612441426833 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.1800000000000015 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6900000000000013 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.742795649981675 " "
absolute error = 2.742795649981675 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.1900000000000013 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7000000000000013 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.749870435293092 " "
absolute error = 2.749870435293092 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.200000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7100000000000013 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.7568860259896133 " "
absolute error = 2.7568860259896133 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.2100000000000013 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7200000000000013 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.7638428413880516 " "
absolute error = 2.7638428413880516 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.2200000000000015 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7300000000000013 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.770741294338606 " "
absolute error = 2.770741294338606 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.2300000000000013 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7400000000000013 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.777581791350883 " "
absolute error = 2.777581791350883 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.240000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7500000000000013 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.7843647327167824 " "
absolute error = 2.7843647327167824 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.2500000000000013 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7600000000000013 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.791090512630342 " "
absolute error = 2.791090512630342 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.2600000000000016 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7700000000000014 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.7977595193046296 " "
absolute error = 2.7977595193046296 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.2700000000000014 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7800000000000014 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.8043721350857718 " "
absolute error = 2.8043721350857718 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.280000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7900000000000014 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.810928736564198 " "
absolute error = 2.810928736564198 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.2900000000000014 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8000000000000014 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.8174296946831863 " "
absolute error = 2.8174296946831863 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.3000000000000016 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8100000000000014 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.823875374844784 " "
absolute error = 2.823875374844784 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.3100000000000014 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8200000000000014 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.8302661370131843 " "
absolute error = 2.8302661370131843 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.320000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8300000000000014 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.836602335815628 " "
absolute error = 2.836602335815628 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.3300000000000014 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8400000000000014 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.842884320640897 " "
absolute error = 2.842884320640897 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.3400000000000016 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8500000000000014 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.8491124357354813 " "
absolute error = 2.8491124357354813 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.3500000000000014 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8600000000000014 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.855287020297466 " "
absolute error = 2.855287020297466 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.360000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8700000000000014 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.8614084085682214 " "
absolute error = 2.8614084085682214 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.3700000000000014 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8800000000000014 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.867476929921944 " "
absolute error = 2.867476929921944 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.3800000000000017 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8900000000000015 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.873492908953114 " "
absolute error = 2.873492908953114 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.3900000000000015 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9000000000000015 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.879456665561927 " "
absolute error = 2.879456665561927 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.4000000000000012 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9100000000000015 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.885368515037756 " "
absolute error = 2.885368515037756 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.4100000000000015 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9200000000000015 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.8912287681406923 " "
absolute error = 2.8912287681406923 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.4200000000000017 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9300000000000015 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.897037731181226 " "
absolute error = 2.897037731181226 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.4300000000000015 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9400000000000015 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.9027957060981113 " "
absolute error = 2.9027957060981113 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.4400000000000013 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9500000000000015 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.908502990534469 " "
absolute error = 2.908502990534469 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.4500000000000015 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9600000000000015 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.914159877912168 " "
absolute error = 2.914159877912168 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.4600000000000017 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9700000000000015 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.919766657504539 " "
absolute error = 2.919766657504539 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.4700000000000015 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9800000000000015 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.9253236145074597 " "
absolute error = 2.9253236145074597 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.4800000000000013 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9900000000000015 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.93083103010886 " "
absolute error = 2.93083103010886 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.4900000000000015 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0000000000000013 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.93628918155668 " "
absolute error = 2.93628918155668 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.5000000000000013 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.010000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.941698342225333 " "
absolute error = 2.941698342225333 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.510000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.020000000000001 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.947058781680705 " "
absolute error = 2.947058781680705 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.520000000000001 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0300000000000007 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.9523707657437264 " "
absolute error = 2.9523707657437264 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.5300000000000007 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0400000000000005 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.9576345565525655 " "
absolute error = 2.9576345565525655 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.5400000000000005 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0500000000000003 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.962850412623464 " "
absolute error = 2.962850412623464 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.5500000000000003 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.06 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.9680185889102613 " "
absolute error = 2.9680185889102613 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.56 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.07 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.973139336862634 " "
absolute error = 2.973139336862634 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.57 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0799999999999996 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.978212904483087 " "
absolute error = 2.978212904483087 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.5799999999999996 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0899999999999994 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.9832395363827278 " "
absolute error = 2.9832395363827278 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.5899999999999994 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.099999999999999 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.988219473835851 " "
absolute error = 2.988219473835851 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.599999999999999 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.109999999999999 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.9931529548333686 " "
absolute error = 2.9931529548333686 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.609999999999999 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1199999999999988 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.998040214135112 " "
absolute error = 2.998040214135112 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.6199999999999988 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1299999999999986 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0028814833210316 " "
absolute error = 3.0028814833210316 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.6299999999999986 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1399999999999983 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0076769908413277 " "
absolute error = 3.0076769908413277 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.6399999999999983 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.149999999999998 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0124269620655313 " "
absolute error = 3.0124269620655313 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.649999999999998 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.159999999999998 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0171316193305677 " "
absolute error = 3.0171316193305677 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.659999999999998 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1699999999999977 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0217911819878234 " "
absolute error = 3.0217911819878234 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.6699999999999977 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1799999999999975 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.026405866449242 " "
absolute error = 3.026405866449242 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.6799999999999975 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1899999999999973 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0309758862324747 " "
absolute error = 3.0309758862324747 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.6899999999999973 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.199999999999997 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0355014520051022 " "
absolute error = 3.0355014520051022 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.699999999999997 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.209999999999997 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.039982771627959 " "
absolute error = 3.039982771627959 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.709999999999997 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2199999999999966 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0444200501975756 " "
absolute error = 3.0444200501975756 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.7199999999999966 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2299999999999964 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0488134900877593 " "
absolute error = 3.0488134900877593 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.7299999999999964 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.239999999999996 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0531632909903395 " "
absolute error = 3.0531632909903395 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.739999999999996 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.249999999999996 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.057469649955091 " "
absolute error = 3.057469649955091 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.749999999999996 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.259999999999996 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.061732761428859 " "
absolute error = 3.061732761428859 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.759999999999996 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2699999999999956 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0659528172939043 " "
absolute error = 3.0659528172939043 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.7699999999999956 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2799999999999954 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.070130006905482 " "
absolute error = 3.070130006905482 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.7799999999999954 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.289999999999995 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.07426451712868 " "
absolute error = 3.07426451712868 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.789999999999995 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.299999999999995 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0783565323745257 " "
absolute error = 3.0783565323745257 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.799999999999995 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3099999999999947 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0824062346353855 " "
absolute error = 3.0824062346353855 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.8099999999999947 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3199999999999945 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0864138035196675 " "
absolute error = 3.0864138035196675 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.8199999999999945 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3299999999999943 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0903794162858467 " "
absolute error = 3.0903794162858467 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.8299999999999943 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.339999999999994 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.094303247875826 " "
absolute error = 3.094303247875826 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.839999999999994 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.349999999999994 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0981854709476524 " "
absolute error = 3.0981854709476524 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.849999999999994 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3599999999999937 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1020262559075946 " "
absolute error = 3.1020262559075946 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.8599999999999937 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3699999999999934 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.105825770941608 " "
absolute error = 3.105825770941608 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.8699999999999934 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3799999999999932 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.109584182046189 " "
absolute error = 3.109584182046189 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.8799999999999932 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.389999999999993 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.113301653058641 " "
absolute error = 3.113301653058641 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.889999999999993 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.399999999999993 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.11697834568676 " "
absolute error = 3.11697834568676 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.899999999999993 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4099999999999926 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1206144195379584 " "
absolute error = 3.1206144195379584 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.9099999999999926 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4199999999999924 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.12421003214783 " "
absolute error = 3.12421003214783 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.9199999999999924 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.429999999999992 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1277653390081785 " "
absolute error = 3.1277653390081785 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.929999999999992 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.439999999999992 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.131280493594516 " "
absolute error = 3.131280493594516 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.939999999999992 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4499999999999917 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1347556473930434 " "
absolute error = 3.1347556473930434 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.9499999999999917 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4599999999999915 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1381909499271234 " "
absolute error = 3.1381909499271234 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.9599999999999915 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4699999999999913 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1415865487832617 " "
absolute error = 3.1415865487832617 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.9699999999999913 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.479999999999991 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1449425896365995 " "
absolute error = 3.1449425896365995 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.979999999999991 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.489999999999991 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.148259216275935 " "
absolute error = 3.148259216275935 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.989999999999991 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4999999999999907 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.151536570628278 " "
absolute error = 3.151536570628278 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 3.9999999999999907 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5099999999999905 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.154774792782954 " "
absolute error = 3.154774792782954 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.009999999999991 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5199999999999902 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.15797402101526 " "
absolute error = 3.15797402101526 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.019999999999990 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.52999999999999 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1611343918096857 " "
absolute error = 3.1611343918096857 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.0299999999999905 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.53999999999999 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1642560398827118 " "
absolute error = 3.1642560398827118 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.03999999999999 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5499999999999896 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.167339098205187 " "
absolute error = 3.167339098205187 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.04999999999999 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5599999999999894 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1703836980243008 " "
absolute error = 3.1703836980243008 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.05999999999999 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.569999999999989 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1733899688851515 " "
absolute error = 3.1733899688851515 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.06999999999999 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.579999999999989 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.176358038651927 " "
absolute error = 3.176358038651927 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.079999999999990 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5899999999999888 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1792880335287 " "
absolute error = 3.1792880335287 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.089999999999990 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5999999999999885 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1821800780798473 " "
absolute error = 3.1821800780798473 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.099999999999989 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6099999999999883 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.185034295250102 " "
absolute error = 3.185034295250102 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.109999999999989 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.619999999999988 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.187850806384245 " "
absolute error = 3.187850806384245 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.119999999999989 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.629999999999988 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1906297312464402 " "
absolute error = 3.1906297312464402 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.129999999999988 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6399999999999877 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1933711880392317 " "
absolute error = 3.1933711880392317 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.139999999999988 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6499999999999875 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.196075293422192 " "
absolute error = 3.196075293422192 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.149999999999988 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6599999999999873 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1987421625302437 " "
absolute error = 3.1987421625302437 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.159999999999988 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.669999999999987 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2013719089916552 " "
absolute error = 3.2013719089916552 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.1699999999999875 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.679999999999987 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.203964644945716 " "
absolute error = 3.203964644945716 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.179999999999987 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6899999999999866 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2065204810600982 " "
absolute error = 3.2065204810600982 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.189999999999987 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6999999999999864 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2090395265479135 " "
absolute error = 3.2090395265479135 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.199999999999987 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.709999999999986 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.211521889184468 " "
absolute error = 3.211521889184468 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.209999999999987 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.719999999999986 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2139676753237225 " "
absolute error = 3.2139676753237225 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.219999999999986 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7299999999999858 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.216376989914463 " "
absolute error = 3.216376989914463 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.229999999999986 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7399999999999856 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2187499365161902 " "
absolute error = 3.2187499365161902 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.239999999999986 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7499999999999853 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.221086617314727 " "
absolute error = 3.221086617314727 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.249999999999986 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.759999999999985 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2233871331375563 " "
absolute error = 3.2233871331375563 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.259999999999986 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.769999999999985 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.22565158346889 " "
absolute error = 3.22565158346889 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.269999999999985 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7799999999999847 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.227880066464478 " "
absolute error = 3.227880066464478 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.279999999999985 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7899999999999845 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2300726789661534 " "
absolute error = 3.2300726789661534 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.289999999999985 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7999999999999843 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.232229516516135 " "
absolute error = 3.232229516516135 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.299999999999985 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.809999999999984 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2343506733710727 " "
absolute error = 3.2343506733710727 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.3099999999999845 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.819999999999984 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2364362425158553 " "
absolute error = 3.2364362425158553 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.319999999999984 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8299999999999836 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.238486315677177 " "
absolute error = 3.238486315677177 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.329999999999984 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8399999999999834 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.240500983336871 " "
absolute error = 3.240500983336871 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.339999999999984 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.849999999999983 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2424803347450135 " "
absolute error = 3.2424803347450135 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.349999999999984 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.859999999999983 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2444244579328014 " "
absolute error = 3.2444244579328014 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.3599999999999834 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.869999999999983 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.246333439725208 " "
absolute error = 3.246333439725208 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.369999999999983 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8799999999999826 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.248207365753423 " "
absolute error = 3.248207365753423 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.379999999999983 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8899999999999824 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2500463204670753 " "
absolute error = 3.2500463204670753 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.389999999999983 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.899999999999982 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.251850387146252 " "
absolute error = 3.251850387146252 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.399999999999983 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.909999999999982 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.253619647913306 " "
absolute error = 3.253619647913306 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.409999999999982 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9199999999999817 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2553541837444655 " "
absolute error = 3.2553541837444655 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.419999999999982 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9299999999999815 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.257054074481241 " "
absolute error = 3.257054074481241 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.429999999999982 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9399999999999813 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2587193988416403 " "
absolute error = 3.2587193988416403 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.439999999999982 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.949999999999981 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2603502344311925 " "
absolute error = 3.2603502344311925 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.4499999999999815 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.959999999999981 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.26194665775378 " "
absolute error = 3.26194665775378 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.459999999999981 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9699999999999807 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2635087442222885 " "
absolute error = 3.2635087442222885 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.469999999999981 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9799999999999804 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.265036568169076 " "
absolute error = 3.265036568169076 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.479999999999980 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9899999999999802 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2665302028562606 " "
absolute error = 3.2665302028562606 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.489999999999980 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.99999999999998 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.267989720485834 " "
absolute error = 3.267989720485834 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.4999999999999805 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.00999999999998 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2694151922096037 " "
absolute error = 3.2694151922096037 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.50999999999998 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0199999999999796 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2708066881389644 " "
absolute error = 3.2708066881389644 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.51999999999998 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0299999999999794 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2721642773545025 " "
absolute error = 3.2721642773545025 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.52999999999998 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.039999999999979 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.273488027915439 " "
absolute error = 3.273488027915439 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.53999999999998 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.049999999999979 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.274778006868907 " "
absolute error = 3.274778006868907 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.549999999999980 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0599999999999787 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2760342802590783 " "
absolute error = 3.2760342802590783 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.559999999999980 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0699999999999785 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.277256913136125 " "
absolute error = 3.277256913136125 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.569999999999979 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0799999999999783 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2784459695650354 " "
absolute error = 3.2784459695650354 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.579999999999979 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.089999999999978 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.279601512634277 " "
absolute error = 3.279601512634277 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.5899999999999785 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.099999999999978 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2807236044643084 " "
absolute error = 3.2807236044643084 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.599999999999978 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1099999999999777 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2818123062159525 " "
absolute error = 3.2818123062159525 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.609999999999978 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1199999999999775 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.282867678098618 " "
absolute error = 3.282867678098618 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.619999999999978 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1299999999999772 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2838897793783874 " "
absolute error = 3.2838897793783874 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.629999999999978 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.139999999999977 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2848786683859608 " "
absolute error = 3.2848786683859608 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.6399999999999775 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.149999999999977 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.285834402524466 " "
absolute error = 3.285834402524466 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.649999999999977 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1599999999999766 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2867570382771354 " "
absolute error = 3.2867570382771354 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.659999999999977 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1699999999999764 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2876466312148462 " "
absolute error = 3.2876466312148462 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.669999999999977 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.179999999999976 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2885032360035353 " "
absolute error = 3.2885032360035353 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.679999999999977 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.189999999999976 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2893269064114836 " "
absolute error = 3.2893269064114836 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.689999999999976 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1999999999999758 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2901176953164755 " "
absolute error = 3.2901176953164755 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.699999999999976 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2099999999999755 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.290875654712832 " "
absolute error = 3.290875654712832 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.709999999999976 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2199999999999753 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2916008357183255 " "
absolute error = 3.2916008357183255 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.719999999999976 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.229999999999975 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2922932885809697 " "
absolute error = 3.2922932885809697 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.729999999999976 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.239999999999975 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2929530626856947 " "
absolute error = 3.2929530626856947 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.739999999999975 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2499999999999747 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.293580206560903 " "
absolute error = 3.293580206560903 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.749999999999975 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2599999999999745 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2941747678849134 " "
absolute error = 3.2941747678849134 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.759999999999975 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2699999999999743 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.294736793492287 " "
absolute error = 3.294736793492287 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.769999999999975 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.279999999999974 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.295266329380046 " "
absolute error = 3.295266329380046 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.7799999999999745 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.289999999999974 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.295763420713782 " "
absolute error = 3.295763420713782 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.789999999999974 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2999999999999736 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2962281118336523 " "
absolute error = 3.2962281118336523 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.799999999999974 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3099999999999734 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2966604462602738 " "
absolute error = 3.2966604462602738 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.809999999999974 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.319999999999973 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.297060466700511 " "
absolute error = 3.297060466700511 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.819999999999974 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.329999999999973 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.297428215053156 " "
absolute error = 3.297428215053156 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.829999999999973 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3399999999999728 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2977637324145146 " "
absolute error = 3.2977637324145146 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.839999999999973 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3499999999999726 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2980670590838814 " "
absolute error = 3.2980670590838814 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.849999999999973 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3599999999999723 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2983382345689254 " "
absolute error = 3.2983382345689254 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.859999999999973 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.369999999999972 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.29857729759097 " "
absolute error = 3.29857729759097 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.869999999999973 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.379999999999972 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2987842860901813 " "
absolute error = 3.2987842860901813 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.879999999999972 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3899999999999717 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.298959237230659 " "
absolute error = 3.298959237230659 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.889999999999972 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3999999999999715 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2991021874054334 " "
absolute error = 3.2991021874054334 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.899999999999972 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4099999999999713 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.29921317224137 " "
absolute error = 3.29921317224137 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.909999999999972 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.419999999999971 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2992922266039835 " "
absolute error = 3.2992922266039835 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.9199999999999715 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.429999999999971 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2993393846021597 " "
absolute error = 3.2993393846021597 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.929999999999971 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4399999999999706 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2993546795927906 " "
absolute error = 3.2993546795927906 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.939999999999971 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4499999999999704 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2993381441853193 " "
absolute error = 3.2993381441853193 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.949999999999970 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.45999999999997 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2992898102462007 " "
absolute error = 3.2992898102462007 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.959999999999970 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.46999999999997 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.299209708903274 " "
absolute error = 3.299209708903274 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.96999999999997 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.47999999999997 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.299097870550054 " "
absolute error = 3.299097870550054 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.97999999999997 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4899999999999696 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2989543248499342 " "
absolute error = 3.2989543248499342 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.98999999999997 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4999999999999694 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2987791007403127 " "
absolute error = 3.2987791007403127 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 4.99999999999997 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.509999999999969 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2985722264366335 " "
absolute error = 3.2985722264366335 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.00999999999997 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.519999999999969 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.298333729436348 " "
absolute error = 3.298333729436348 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.019999999999970 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5299999999999687 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.298063636522799 " "
absolute error = 3.298063636522799 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.029999999999970 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5399999999999685 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2977619737690222 " "
absolute error = 3.2977619737690222 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.039999999999969 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5499999999999683 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.297428766541476 " "
absolute error = 3.297428766541476 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.049999999999969 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.559999999999968 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2970640395036894 " "
absolute error = 3.2970640395036894 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.0599999999999685 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.569999999999968 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.296667816619837 " "
absolute error = 3.296667816619837 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.069999999999968 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5799999999999677 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.296240121158239 " "
absolute error = 3.296240121158239 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.079999999999968 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5899999999999674 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.295780975694788 " "
absolute error = 3.295780975694788 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.089999999999968 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5999999999999672 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2952904021162994 " "
absolute error = 3.2952904021162994 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.099999999999968 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.609999999999967 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2947684216237954 " "
absolute error = 3.2947684216237954 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.1099999999999675 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.619999999999967 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.294215054735711 " "
absolute error = 3.294215054735711 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.119999999999967 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6299999999999666 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2936303212910345 " "
absolute error = 3.2936303212910345 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.129999999999967 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6399999999999664 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2930142404523766 " "
absolute error = 3.2930142404523766 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.139999999999967 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.649999999999966 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.292366830708968 " "
absolute error = 3.292366830708968 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.149999999999967 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.659999999999966 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.291688109879594 " "
absolute error = 3.291688109879594 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.159999999999966 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6699999999999657 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2909780951154546 " "
absolute error = 3.2909780951154546 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.169999999999966 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6799999999999655 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.290236802902964 " "
absolute error = 3.290236802902964 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.179999999999966 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6899999999999653 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.289464249066479 " "
absolute error = 3.289464249066479 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.189999999999966 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.699999999999965 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.288660448770967 " "
absolute error = 3.288660448770967 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.1999999999999655 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.709999999999965 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.287825416524603 " "
absolute error = 3.287825416524603 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.209999999999965 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7199999999999647 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.286959166181306 " "
absolute error = 3.286959166181306 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.219999999999965 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7299999999999645 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2860617109432124 " "
absolute error = 3.2860617109432124 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.229999999999965 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7399999999999642 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2851330633630846 " "
absolute error = 3.2851330633630846 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.239999999999965 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.749999999999964 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.284173235346657 " "
absolute error = 3.284173235346657 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.2499999999999645 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.759999999999964 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.283182238154921 " "
absolute error = 3.283182238154921 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.259999999999964 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7699999999999636 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2821600824063495 " "
absolute error = 3.2821600824063495 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.269999999999964 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7799999999999634 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2811067780790584 " "
absolute error = 3.2811067780790584 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.279999999999964 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.789999999999963 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2800223345129096 " "
absolute error = 3.2800223345129096 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.289999999999964 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.799999999999963 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2789067604115543 " "
absolute error = 3.2789067604115543 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.299999999999963 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8099999999999627 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2777600638444158 " "
absolute error = 3.2777600638444158 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.309999999999963 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8199999999999625 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.276582252248616 " "
absolute error = 3.276582252248616 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.319999999999963 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8299999999999623 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2753733324308416 " "
absolute error = 3.2753733324308416 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.329999999999963 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.839999999999962 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.274133310569153 " "
absolute error = 3.274133310569153 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.3399999999999626 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.849999999999962 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2728621922147365 " "
absolute error = 3.2728621922147365 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.349999999999962 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8599999999999617 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2715599822936 " "
absolute error = 3.2715599822936 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.359999999999962 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8699999999999615 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.270226685108212 " "
absolute error = 3.270226685108212 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.369999999999962 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8799999999999613 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2688623043390836 " "
absolute error = 3.2688623043390836 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.379999999999962 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.889999999999961 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.267466843046297 " "
absolute error = 3.267466843046297 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.3899999999999615 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.899999999999961 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2660403036709766 " "
absolute error = 3.2660403036709766 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.399999999999961 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9099999999999606 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.264582688036709 " "
absolute error = 3.264582688036709 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.409999999999961 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9199999999999604 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2630939973509037 " "
absolute error = 3.2630939973509037 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.419999999999960 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.92999999999996 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2615742322061045 " "
absolute error = 3.2615742322061045 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.429999999999960 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.93999999999996 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2600233925812447 " "
absolute error = 3.2600233925812447 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.43999999999996 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9499999999999598 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.258441477842849 " "
absolute error = 3.258441477842849 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.44999999999996 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9599999999999596 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2568284867461843 " "
absolute error = 3.2568284867461843 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.45999999999996 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9699999999999593 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.255184417436355 " "
absolute error = 3.255184417436355 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.46999999999996 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.979999999999959 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2535092674493504 " "
absolute error = 3.2535092674493504 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.47999999999996 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.989999999999959 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2518030337130357 " "
absolute error = 3.2518030337130357 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.489999999999960 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9999999999999587 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2500657125480927 " "
absolute error = 3.2500657125480927 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.499999999999960 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.009999999999959 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.248297299668911 " "
absolute error = 3.248297299668911 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.509999999999959 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.019999999999959 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.246497790184426 " "
absolute error = 3.246497790184426 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.519999999999959 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.0299999999999585 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.244667178598907 " "
absolute error = 3.244667178598907 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.5299999999999585 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.039999999999958 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.242805458812693 " "
absolute error = 3.242805458812693 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.539999999999958 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.049999999999958 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2409126241228816 " "
absolute error = 3.2409126241228816 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.549999999999958 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.059999999999958 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2389886672239645 " "
absolute error = 3.2389886672239645 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.559999999999958 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.069999999999958 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.237033580208414 " "
absolute error = 3.237033580208414 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.569999999999958 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.079999999999957 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2350473545672216 " "
absolute error = 3.2350473545672216 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.579999999999957 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.089999999999957 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2330299811903838 " "
absolute error = 3.2330299811903838 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.589999999999957 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.099999999999957 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.230981450367342 " "
absolute error = 3.230981450367342 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.599999999999957 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.109999999999957 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.228901751787371 " "
absolute error = 3.228901751787371 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.609999999999957 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.119999999999957 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.22679087453992 " "
absolute error = 3.22679087453992 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.619999999999957 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.129999999999956 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2246488071149035 " "
absolute error = 3.2246488071149035 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.629999999999956 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.139999999999956 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2224755374029455 " "
absolute error = 3.2224755374029455 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.639999999999956 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.149999999999956 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2202710526955727 " "
absolute error = 3.2202710526955727 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.649999999999956 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.159999999999956 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.218035339685362 " "
absolute error = 3.218035339685362 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.659999999999956 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.1699999999999555 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.215768384466039 " "
absolute error = 3.215768384466039 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.6699999999999555 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.179999999999955 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.213470172532528 " "
absolute error = 3.213470172532528 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.679999999999955 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.189999999999955 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2111406887809526 " "
absolute error = 3.2111406887809526 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.689999999999955 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.199999999999955 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2087799175085934 " "
absolute error = 3.2087799175085934 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.699999999999955 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.209999999999955 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.206387842413792 " "
absolute error = 3.206387842413792 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.709999999999955 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.2199999999999545 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.2039644465958124 " "
absolute error = 3.2039644465958124 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.7199999999999545 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.229999999999954 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.201509712554651 " "
absolute error = 3.201509712554651 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.729999999999954 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.239999999999954 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.199023622190803 " "
absolute error = 3.199023622190803 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.739999999999954 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.249999999999954 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1965061568049764 " "
absolute error = 3.1965061568049764 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.749999999999954 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.259999999999954 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.193957297097765 " "
absolute error = 3.193957297097765 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.759999999999954 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.269999999999953 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.191377023169269 " "
absolute error = 3.191377023169269 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.769999999999953 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.279999999999953 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.188765314518669 " "
absolute error = 3.188765314518669 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.779999999999953 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.289999999999953 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.186122150043756 " "
absolute error = 3.186122150043756 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.789999999999953 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.299999999999953 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.183447508040412 " "
absolute error = 3.183447508040412 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.799999999999953 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.3099999999999525 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.180741366202042 " "
absolute error = 3.180741366202042 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.8099999999999525 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.319999999999952 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.178003701618962 " "
absolute error = 3.178003701618962 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.819999999999952 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.329999999999952 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1752344907777386 " "
absolute error = 3.1752344907777386 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.829999999999952 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.339999999999952 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1724337095604804 " "
absolute error = 3.1724337095604804 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.839999999999952 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.349999999999952 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1696013332440827 " "
absolute error = 3.1696013332440827 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.849999999999952 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.3599999999999515 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.166737336499427 " "
absolute error = 3.166737336499427 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.8599999999999515 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.369999999999951 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.16384169339053 " "
absolute error = 3.16384169339053 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.869999999999951 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.379999999999951 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1609143773736483 " "
absolute error = 3.1609143773736483 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.879999999999951 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.389999999999950 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1579553612963345 " "
absolute error = 3.1579553612963345 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.889999999999950 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.399999999999950 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1549646173964447 " "
absolute error = 3.1549646173964447 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.899999999999950 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.40999999999995 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1519421173011013 " "
absolute error = 3.1519421173011013 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.90999999999995 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.41999999999995 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1488878320256064 " "
absolute error = 3.1488878320256064 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.91999999999995 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.42999999999995 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.145801731972308 " "
absolute error = 3.145801731972308 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.92999999999995 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.43999999999995 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.14268378692942 " "
absolute error = 3.14268378692942 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.93999999999995 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.4499999999999496 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.139533966069791 " "
absolute error = 3.139533966069791 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.9499999999999496 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.459999999999950 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1363522379496285 " "
absolute error = 3.1363522379496285 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.959999999999950 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.469999999999950 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.133138570507175 " "
absolute error = 3.133138570507175 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.969999999999950 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.479999999999949 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1298929310613337 " "
absolute error = 3.1298929310613337 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.979999999999949 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.489999999999949 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1266152863102477 " "
absolute error = 3.1266152863102477 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.989999999999949 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.4999999999999485 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1233056023298307 " "
absolute error = 3.1233056023298307 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 5.9999999999999485 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.509999999999948 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1199638445722497 " "
absolute error = 3.1199638445722497 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.009999999999948 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.519999999999948 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1165899778643573 " "
absolute error = 3.1165899778643573 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.019999999999948 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.529999999999948 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.113183966406077 " "
absolute error = 3.113183966406077 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.029999999999948 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.539999999999948 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1097457737687395 " "
absolute error = 3.1097457737687395 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.039999999999948 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.549999999999947 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.1062753628933675 " "
absolute error = 3.1062753628933675 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.049999999999947 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.559999999999947 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.102772696088914 " "
absolute error = 3.102772696088914 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.059999999999947 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.569999999999947 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0992377350304507 " "
absolute error = 3.0992377350304507 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.069999999999947 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.579999999999947 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.095670440757305 " "
absolute error = 3.095670440757305 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.079999999999947 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.589999999999947 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.092070773671148 " "
absolute error = 3.092070773671148 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.089999999999947 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.599999999999946 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0884386935340333 " "
absolute error = 3.0884386935340333 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.099999999999946 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.609999999999946 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0847741594663836 " "
absolute error = 3.0847741594663836 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.109999999999946 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.619999999999946 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0810771299449287 " "
absolute error = 3.0810771299449287 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.119999999999946 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.629999999999946 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.07734756280059 " "
absolute error = 3.07734756280059 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.129999999999946 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.6399999999999455 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0735854152163182 " "
absolute error = 3.0735854152163182 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.1399999999999455 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.649999999999945 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.069790643724874 " "
absolute error = 3.069790643724874 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.149999999999945 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.659999999999945 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0659632042065623 " "
absolute error = 3.0659632042065623 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.159999999999945 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.669999999999945 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.062103051886911 " "
absolute error = 3.062103051886911 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.169999999999945 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.679999999999945 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0582101413342997 " "
absolute error = 3.0582101413342997 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.179999999999945 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.689999999999944 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0542844264575355 " "
absolute error = 3.0542844264575355 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.189999999999944 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.699999999999944 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0503258605033747 " "
absolute error = 3.0503258605033747 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.199999999999944 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.709999999999944 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0463343960539935 " "
absolute error = 3.0463343960539935 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.209999999999944 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.719999999999944 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.042309985024403 " "
absolute error = 3.042309985024403 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.219999999999944 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.729999999999944 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0382525786598116 " "
absolute error = 3.0382525786598116 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.229999999999944 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.739999999999943 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0341621275329356 " "
absolute error = 3.0341621275329356 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.239999999999943 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.749999999999943 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0300385815412496 " "
absolute error = 3.0300385815412496 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.249999999999943 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.759999999999943 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0258818899041886 " "
absolute error = 3.0258818899041886 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.259999999999943 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.769999999999943 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.02169200116029 " "
absolute error = 3.02169200116029 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.269999999999943 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.7799999999999425 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0174688631642823 " "
absolute error = 3.0174688631642823 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.2799999999999425 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.789999999999942 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.013212423084118 " "
absolute error = 3.013212423084118 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.289999999999942 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.799999999999942 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0089226273979497 " "
absolute error = 3.0089226273979497 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.299999999999942 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.809999999999942 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.004599421891048 " "
absolute error = 3.004599421891048 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.309999999999942 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.819999999999942 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -3.0002427516526655 " "
absolute error = 3.0002427516526655 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.319999999999942 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.8299999999999415 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.9958525610728404 " "
absolute error = 2.9958525610728404 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.3299999999999415 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.839999999999941 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.9914287938391424 " "
absolute error = 2.9914287938391424 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.339999999999941 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.849999999999941 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.9869713929333623 " "
absolute error = 2.9869713929333623 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.349999999999941 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.859999999999940 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.9824803006281395 " "
absolute error = 2.9824803006281395 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.359999999999940 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.869999999999940 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.977955458483532 " "
absolute error = 2.977955458483532 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.369999999999940 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.87999999999994 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.9733968073435277 " "
absolute error = 2.9733968073435277 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.37999999999994 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.88999999999994 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.968804287332491 " "
absolute error = 2.968804287332491 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.38999999999994 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.89999999999994 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.9641778378515538 " "
absolute error = 2.9641778378515538 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.39999999999994 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.90999999999994 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.9595173975749405 " "
absolute error = 2.9595173975749405 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.40999999999994 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.9199999999999395 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.9548229044462353 " "
absolute error = 2.9548229044462353 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.4199999999999395 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.929999999999940 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.9500942956745835 " "
absolute error = 2.9500942956745835 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.429999999999940 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.939999999999939 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.945331507730831 " "
absolute error = 2.945331507730831 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.439999999999939 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.949999999999939 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.940534476343602 " "
absolute error = 2.940534476343602 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.449999999999939 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.959999999999939 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.9357031364953086 " "
absolute error = 2.9357031364953086 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.459999999999939 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.9699999999999385 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.930837422418101 " "
absolute error = 2.930837422418101 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.4699999999999385 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.979999999999938 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.9259372675897466 " "
absolute error = 2.9259372675897466 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.479999999999938 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.989999999999938 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.921002604729448 " "
absolute error = 2.921002604729448 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.489999999999938 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.999999999999938 " "
y[1] (analytic) = 0.0 " "
y[1] (numeric) = -2.9160333657935915 " "
absolute error = 2.9160333657935915 " "
relative error = -1. "%"
Correct digits = -1
h = 1.00E-2 " "
Radius of convergence (given) for eq 1 = 6.499999999999938 " "
Order of pole (given) = 0.5 " "
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
"Finished!"
"diff ( y , x , 1 ) = tan ( sqrt ( 2.0 * x + 3.0 ) ) ; "
Iterations = 491
"Total Elapsed Time "= 1 Minutes 48 Seconds
"Elapsed Time(since restart) "= 1 Minutes 47 Seconds
"Time to Timeout "= 8 Minutes 11 Seconds
Percent Done = 100.40816326530484 "%"
(%o226) diffeq.max