(%i1) batch(diffeq.max)
read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max
(%i2) load(stringproc)
(%o2) /usr/share/maxima/5.27.0/share/stringproc/stringproc.mac
(%i3) display_poles() := block([rad_given],
if glob_type_given_pole = 4 then (rad_given :
sqrt(expt(array_given_rad_poles , 2.0)
1, 2
+ expt(array_x - array_given_rad_poles , 2.0)),
1 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 , 4, " ")) elseif glob_type_given_pole = 3
1, 1
then omniout_str(ALWAYS, "NO POLE (given) for Equation 1")
else omniout_str(ALWAYS, "NO INFO (given) for Equation 1"),
if array_poles # glob_large_float then (omniout_float(ALWAYS,
1, 1
"Radius of convergence (ratio test) for eq 1 ", 4, array_poles , 4,
1, 1
" "), omniout_str(ALWAYS,
"Order of pole (ratio test) Not computed"))
else omniout_str(ALWAYS, "NO POLE (ratio test) for Equation 1"),
if (array_real_poles > 0.0) and (array_real_poles # glob_large_float)
1, 1 1, 1
then (omniout_float(ALWAYS,
"Radius of convergence (three term test) for eq 1 ", 4, array_real_poles ,
1, 1
4, " "), omniout_float(ALWAYS,
"Order of pole (three term test) ", 4, array_real_poles ,
1, 2
4, " ")) else omniout_str(ALWAYS,
"NO REAL POLE (three term test) for Equation 1"),
if (array_complex_poles > 0.0) and (array_complex_poles #
1, 1 1, 1
glob_large_float)
then (omniout_float(ALWAYS,
"Radius of convergence (six term test) for eq 1 ", 4,
array_complex_poles , 4, " "), omniout_float(ALWAYS,
1, 1
"Order of pole (six term test) ", 4,
array_complex_poles , 4, " ")) else omniout_str(ALWAYS,
1, 2
"NO COMPLEX POLE (six term test) for Equation 1"))
(%o3) display_poles() := block([rad_given],
if glob_type_given_pole = 4 then (rad_given :
sqrt(expt(array_given_rad_poles , 2.0)
1, 2
+ expt(array_x - array_given_rad_poles , 2.0)),
1 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 , 4, " ")) elseif glob_type_given_pole = 3
1, 1
then omniout_str(ALWAYS, "NO POLE (given) for Equation 1")
else omniout_str(ALWAYS, "NO INFO (given) for Equation 1"),
if array_poles # glob_large_float then (omniout_float(ALWAYS,
1, 1
"Radius of convergence (ratio test) for eq 1 ", 4, array_poles , 4,
1, 1
" "), omniout_str(ALWAYS,
"Order of pole (ratio test) Not computed"))
else omniout_str(ALWAYS, "NO POLE (ratio test) for Equation 1"),
if (array_real_poles > 0.0) and (array_real_poles # glob_large_float)
1, 1 1, 1
then (omniout_float(ALWAYS,
"Radius of convergence (three term test) for eq 1 ", 4, array_real_poles ,
1, 1
4, " "), omniout_float(ALWAYS,
"Order of pole (three term test) ", 4, array_real_poles ,
1, 2
4, " ")) else omniout_str(ALWAYS,
"NO REAL POLE (three term test) for Equation 1"),
if (array_complex_poles > 0.0) and (array_complex_poles #
1, 1 1, 1
glob_large_float)
then (omniout_float(ALWAYS,
"Radius of convergence (six term test) for eq 1 ", 4,
array_complex_poles , 4, " "), omniout_float(ALWAYS,
1, 1
"Order of pole (six term test) ", 4,
array_complex_poles , 4, " ")) else omniout_str(ALWAYS,
1, 2
"NO COMPLEX POLE (six term test) for Equation 1"))
(%i4) check_sign(x0, xf) := block([ret],
if xf > x0 then ret : 1.0 else ret : - 1.0, ret)
(%o4) check_sign(x0, xf) := block([ret],
if xf > x0 then ret : 1.0 else ret : - 1.0, ret)
(%i5) est_size_answer() := block([min_size], min_size : glob_large_float,
if omniabs(array_y ) < min_size then (min_size : omniabs(array_y ),
1 1
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")),
if min_size < 1.0 then (min_size : 1.0,
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), min_size)
(%o5) est_size_answer() := block([min_size], min_size : glob_large_float,
if omniabs(array_y ) < min_size then (min_size : omniabs(array_y ),
1 1
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")),
if min_size < 1.0 then (min_size : 1.0,
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), min_size)
(%i6) 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 : glob_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 : omniabs(array_y hn_div_ho_3 + array_y hn_div_ho_2
no_terms no_terms - 1
+ array_y hn_div_ho + array_y ),
no_terms - 2 no_terms - 3
if est_tmp >= max_estimated_step_error then max_estimated_step_error :
est_tmp, omniout_float(ALWAYS, "max_estimated_step_error", 32,
max_estimated_step_error, 32, ""), max_estimated_step_error)
(%o6) 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 : glob_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 : omniabs(array_y hn_div_ho_3 + array_y hn_div_ho_2
no_terms no_terms - 1
+ array_y hn_div_ho + array_y ),
no_terms - 2 no_terms - 3
if est_tmp >= max_estimated_step_error then max_estimated_step_error :
est_tmp, omniout_float(ALWAYS, "max_estimated_step_error", 32,
max_estimated_step_error, 32, ""), max_estimated_step_error)
(%i7) reached_interval() := block([ret],
if glob_check_sign array_x >= glob_check_sign glob_next_display
1
then ret : true else ret : false, return(ret))
(%o7) reached_interval() := block([ret],
if glob_check_sign array_x >= glob_check_sign glob_next_display
1
then ret : true else ret : false, return(ret))
(%i8) display_alot(iter) := block([abserr, analytic_val_y, ind_var,
numeric_val, relerr, term_no], 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 : omniabs(numeric_val - analytic_val_y),
omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val,
20, " "), if omniabs(analytic_val_y) # 0.0
abserr 100.0
then (relerr : -----------------------,
omniabs(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 : relerr
1
else array_last_rel_error : relerr, omniout_float(ALWAYS,
1
"absolute error ", 4, abserr, 20, " "),
omniout_float(ALWAYS, "relative error ", 4, relerr, 20,
"%"), omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " "), omniout_float(ALWAYS,
"h ", 4, glob_h, 20, " "))))
(%o8) display_alot(iter) := block([abserr, analytic_val_y, ind_var,
numeric_val, relerr, term_no], 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 : omniabs(numeric_val - analytic_val_y),
omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val,
20, " "), if omniabs(analytic_val_y) # 0.0
abserr 100.0
then (relerr : -----------------------,
omniabs(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 : relerr
1
else array_last_rel_error : relerr, omniout_float(ALWAYS,
1
"absolute error ", 4, abserr, 20, " "),
omniout_float(ALWAYS, "relative error ", 4, relerr, 20,
"%"), omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " "), omniout_float(ALWAYS,
"h ", 4, glob_h, 20, " "))))
(%i9) adjust_for_pole(h_param) := (block([hnew, sz2, tmp], hnew : h_param,
glob_normmax : glob_small_float, if omniabs(array_y_higher ) >
1, 1
glob_small_float then (tmp : omniabs(array_y_higher ),
1, 1
if tmp < glob_normmax then glob_normmax : tmp),
if glob_look_poles and (omniabs(array_pole ) > glob_small_float)
1
array_pole
1
and (array_pole # glob_large_float) then (sz2 : -----------,
1 10.0
if sz2 < hnew then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param,
12, "due to singularity."), omniout_str(INFO, "Reached Optimal"),
return(hnew))), if not glob_reached_optimal_h
then (glob_reached_optimal_h : true, glob_curr_iter_when_opt :
glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(),
glob_optimal_start : array_x ), hnew : sz2), return(hnew))
1
(%o9) adjust_for_pole(h_param) := (block([hnew, sz2, tmp], hnew : h_param,
glob_normmax : glob_small_float, if omniabs(array_y_higher ) >
1, 1
glob_small_float then (tmp : omniabs(array_y_higher ),
1, 1
if tmp < glob_normmax then glob_normmax : tmp),
if glob_look_poles and (omniabs(array_pole ) > glob_small_float)
1
array_pole
1
and (array_pole # glob_large_float) then (sz2 : -----------,
1 10.0
if sz2 < hnew then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param,
12, "due to singularity."), omniout_str(INFO, "Reached Optimal"),
return(hnew))), if not glob_reached_optimal_h
then (glob_reached_optimal_h : true, glob_curr_iter_when_opt :
glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(),
glob_optimal_start : array_x ), hnew : sz2), return(hnew))
1
(%i10) prog_report(x_start, x_end) := block([clock_sec, opt_clock_sec,
clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec],
clock_sec1 : elapsed_time_seconds(), total_clock_sec :
convfloat(clock_sec1) - convfloat(glob_orig_start_sec),
glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec),
left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec)
+ convfloat(glob_max_sec), expect_sec :
comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x ),
1
convfloat(clock_sec1) - convfloat(glob_orig_start_sec)),
opt_clock_sec : convfloat(clock_sec1)
- convfloat(glob_optimal_clock_start_sec),
glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(glob_h) + convfloat(array_x ),
1
convfloat(opt_clock_sec)), glob_total_exp_sec :
total_clock_sec + glob_optimal_expect_sec,
percent_done : comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done,
1
omniout_str_noeol(INFO, "Total Elapsed Time "),
omniout_timestr(convfloat(total_clock_sec)),
omniout_str_noeol(INFO, "Elapsed Time(since restart) "),
omniout_timestr(convfloat(glob_clock_sec)),
if convfloat(percent_done) < convfloat(100.0)
then (omniout_str_noeol(INFO, "Expected Time Remaining "),
omniout_timestr(convfloat(expect_sec)),
omniout_str_noeol(INFO, "Optimized Time Remaining "),
omniout_timestr(convfloat(glob_optimal_expect_sec)),
omniout_str_noeol(INFO, "Expected Total Time "),
omniout_timestr(convfloat(glob_total_exp_sec))),
omniout_str_noeol(INFO, "Time to Timeout "),
omniout_timestr(convfloat(left_sec)), omniout_float(INFO,
"Percent Done ", 33, percent_done, 4, "%"))
(%o10) prog_report(x_start, x_end) := block([clock_sec, opt_clock_sec,
clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec],
clock_sec1 : elapsed_time_seconds(), total_clock_sec :
convfloat(clock_sec1) - convfloat(glob_orig_start_sec),
glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec),
left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec)
+ convfloat(glob_max_sec), expect_sec :
comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x ),
1
convfloat(clock_sec1) - convfloat(glob_orig_start_sec)),
opt_clock_sec : convfloat(clock_sec1)
- convfloat(glob_optimal_clock_start_sec),
glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end),
convfloat(x_start), convfloat(glob_h) + convfloat(array_x ),
1
convfloat(opt_clock_sec)), glob_total_exp_sec :
total_clock_sec + glob_optimal_expect_sec,
percent_done : comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done,
1
omniout_str_noeol(INFO, "Total Elapsed Time "),
omniout_timestr(convfloat(total_clock_sec)),
omniout_str_noeol(INFO, "Elapsed Time(since restart) "),
omniout_timestr(convfloat(glob_clock_sec)),
if convfloat(percent_done) < convfloat(100.0)
then (omniout_str_noeol(INFO, "Expected Time Remaining "),
omniout_timestr(convfloat(expect_sec)),
omniout_str_noeol(INFO, "Optimized Time Remaining "),
omniout_timestr(convfloat(glob_optimal_expect_sec)),
omniout_str_noeol(INFO, "Expected Total Time "),
omniout_timestr(convfloat(glob_total_exp_sec))),
omniout_str_noeol(INFO, "Time to Timeout "),
omniout_timestr(convfloat(left_sec)), omniout_float(INFO,
"Percent Done ", 33, percent_done, 4, "%"))
(%i11) check_for_pole() := block([cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1,
nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio,
term, local_test, tmp_rad, tmp_ratio, prev_tmp_rad],
array_pole : glob_large_float, array_pole : glob_large_float,
1 2
tmp_rad : glob_large_float, prev_tmp_rad : glob_large_float,
tmp_ratio : glob_large_float, rad_c : glob_large_float,
array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
found_sing : 1, n : - 10 - 1 + glob_max_terms, cnt : 0,
while (cnt < 5) and (found_sing = 1) do (if (omniabs(array_y_higher ) =
1, n
0.0) or (omniabs(array_y_higher ) = 0.0) then found_sing : 0
1, 1 + n
array_y_higher glob_h
1, n tmp_rad
else (tmp_rad : omniabs(-------------------------), tmp_ratio : ------------,
array_y_higher prev_tmp_rad
1, 1 + n
if (cnt > 0) and (tmp_ratio < 2.0) and (tmp_ratio > 0.5)
then (if tmp_rad < rad_c then rad_c : tmp_rad) elseif cnt = 0
then (if tmp_rad < rad_c then rad_c : tmp_rad) elseif cnt > 0
then found_sing : 0), prev_tmp_rad : tmp_rad, cnt : 1 + cnt, n : 1 + n),
if found_sing = 1 then (if rad_c < array_pole
1
then (array_pole : rad_c, array_poles : rad_c)), n : glob_max_terms,
1 1, 1
m : - 1 - 1 + n, while (m >= 10) and ((omniabs(array_y_higher ) = 0.0)
1, m
or (omniabs(array_y_higher ) = 0.0)
1, m - 1
or (omniabs(array_y_higher ) = 0.0)) do m : m - 1,
1, m - 2
array_y_higher array_y_higher
1, m 1, m - 1
if m > 10 then (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
hdrc : convfloat(m) rm0 - convfloat(m - 1) rm1,
glob_h
if omniabs(hdrc) > 0.0 then (rcs : ------,
hdrc
rm1 convfloat((m - 2) (m - 2)) - rm0 convfloat(m - 3)
ord_no : -----------------------------------------------------,
hdrc
array_real_poles : rcs, array_real_poles : ord_no)
1, 1 1, 2
else (array_real_poles : glob_large_float,
1, 1
array_real_poles : glob_large_float))
1, 2
else (array_real_poles : glob_large_float,
1, 1
array_real_poles : glob_large_float), n : - 1 - 1 + glob_max_terms,
1, 2
cnt : 0, while (cnt < 5) and (n >= 10) do (if omniabs(array_y_higher ) #
1, n
0.0 then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n,
if m <= 10 then (rad_c : glob_large_float, ord_no : glob_large_float)
array_y_higher array_y_higher
1, m 1, m - 1
else (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
array_y_higher array_y_higher
1, m - 2 1, m - 3
rm2 : ----------------------, rm3 : ----------------------,
array_y_higher array_y_higher
1, m - 3 1, m - 4
array_y_higher
1, m - 4
rm4 : ----------------------, nr1 : convfloat(m - 3) rm2
array_y_higher
1, m - 5
- 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0,
nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1,
- 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0
dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---,
rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1
5.0 8.0 3.0
ds2 : --- - --- + ---, if (omniabs(nr1 dr2 - nr2 dr1) = 0.0)
rm4 rm3 rm2
or (omniabs(dr1) = 0.0) then (rad_c : glob_large_float,
ord_no : glob_large_float) else (if omniabs(nr1 dr2 - nr2 dr1) # 0.0
dr1 dr2 - ds2 dr1 + ds1 dr2
then (rcs : ---------------------------,
nr1 dr2 - nr2 dr1
rcs nr1 - ds1 convfloat(m)
ord_no : ------------- - ------------,
2.0 dr1 2.0
if omniabs(rcs) # 0.0 then (if rcs > 0.0 then rad_c : sqrt(rcs) omniabs(glob_h)
else rad_c : glob_large_float) else (rad_c : glob_large_float,
ord_no : glob_large_float)) else (rad_c : glob_large_float,
ord_no : glob_large_float)), array_complex_poles : rad_c,
1, 1
array_complex_poles : ord_no), if array_pole glob_ratio_of_radius <
1, 2 1
omniabs(glob_h) then (h_new : array_pole glob_ratio_of_radius, term : 1,
1
ratio : 1.0, while term <= glob_max_terms do (array_y :
term
array_y ratio, array_y_higher : array_y_higher ratio,
term 1, term 1, term
ratio h_new
array_x : array_x ratio, ratio : ---------------, term : 1 + term),
term term omniabs(glob_h)
glob_h : h_new), if reached_interval() then display_poles())
(%o11) check_for_pole() := block([cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1,
nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio,
term, local_test, tmp_rad, tmp_ratio, prev_tmp_rad],
array_pole : glob_large_float, array_pole : glob_large_float,
1 2
tmp_rad : glob_large_float, prev_tmp_rad : glob_large_float,
tmp_ratio : glob_large_float, rad_c : glob_large_float,
array_poles : glob_large_float, array_poles : glob_large_float,
1, 1 1, 2
found_sing : 1, n : - 10 - 1 + glob_max_terms, cnt : 0,
while (cnt < 5) and (found_sing = 1) do (if (omniabs(array_y_higher ) =
1, n
0.0) or (omniabs(array_y_higher ) = 0.0) then found_sing : 0
1, 1 + n
array_y_higher glob_h
1, n tmp_rad
else (tmp_rad : omniabs(-------------------------), tmp_ratio : ------------,
array_y_higher prev_tmp_rad
1, 1 + n
if (cnt > 0) and (tmp_ratio < 2.0) and (tmp_ratio > 0.5)
then (if tmp_rad < rad_c then rad_c : tmp_rad) elseif cnt = 0
then (if tmp_rad < rad_c then rad_c : tmp_rad) elseif cnt > 0
then found_sing : 0), prev_tmp_rad : tmp_rad, cnt : 1 + cnt, n : 1 + n),
if found_sing = 1 then (if rad_c < array_pole
1
then (array_pole : rad_c, array_poles : rad_c)), n : glob_max_terms,
1 1, 1
m : - 1 - 1 + n, while (m >= 10) and ((omniabs(array_y_higher ) = 0.0)
1, m
or (omniabs(array_y_higher ) = 0.0)
1, m - 1
or (omniabs(array_y_higher ) = 0.0)) do m : m - 1,
1, m - 2
array_y_higher array_y_higher
1, m 1, m - 1
if m > 10 then (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
hdrc : convfloat(m) rm0 - convfloat(m - 1) rm1,
glob_h
if omniabs(hdrc) > 0.0 then (rcs : ------,
hdrc
rm1 convfloat((m - 2) (m - 2)) - rm0 convfloat(m - 3)
ord_no : -----------------------------------------------------,
hdrc
array_real_poles : rcs, array_real_poles : ord_no)
1, 1 1, 2
else (array_real_poles : glob_large_float,
1, 1
array_real_poles : glob_large_float))
1, 2
else (array_real_poles : glob_large_float,
1, 1
array_real_poles : glob_large_float), n : - 1 - 1 + glob_max_terms,
1, 2
cnt : 0, while (cnt < 5) and (n >= 10) do (if omniabs(array_y_higher ) #
1, n
0.0 then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n,
if m <= 10 then (rad_c : glob_large_float, ord_no : glob_large_float)
array_y_higher array_y_higher
1, m 1, m - 1
else (rm0 : ----------------------, rm1 : ----------------------,
array_y_higher array_y_higher
1, m - 1 1, m - 2
array_y_higher array_y_higher
1, m - 2 1, m - 3
rm2 : ----------------------, rm3 : ----------------------,
array_y_higher array_y_higher
1, m - 3 1, m - 4
array_y_higher
1, m - 4
rm4 : ----------------------, nr1 : convfloat(m - 3) rm2
array_y_higher
1, m - 5
- 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0,
nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1,
- 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0
dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---,
rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1
5.0 8.0 3.0
ds2 : --- - --- + ---, if (omniabs(nr1 dr2 - nr2 dr1) = 0.0)
rm4 rm3 rm2
or (omniabs(dr1) = 0.0) then (rad_c : glob_large_float,
ord_no : glob_large_float) else (if omniabs(nr1 dr2 - nr2 dr1) # 0.0
dr1 dr2 - ds2 dr1 + ds1 dr2
then (rcs : ---------------------------,
nr1 dr2 - nr2 dr1
rcs nr1 - ds1 convfloat(m)
ord_no : ------------- - ------------,
2.0 dr1 2.0
if omniabs(rcs) # 0.0 then (if rcs > 0.0 then rad_c : sqrt(rcs) omniabs(glob_h)
else rad_c : glob_large_float) else (rad_c : glob_large_float,
ord_no : glob_large_float)) else (rad_c : glob_large_float,
ord_no : glob_large_float)), array_complex_poles : rad_c,
1, 1
array_complex_poles : ord_no), if array_pole glob_ratio_of_radius <
1, 2 1
omniabs(glob_h) then (h_new : array_pole glob_ratio_of_radius, term : 1,
1
ratio : 1.0, while term <= glob_max_terms do (array_y :
term
array_y ratio, array_y_higher : array_y_higher ratio,
term 1, term 1, term
ratio h_new
array_x : array_x ratio, ratio : ---------------, term : 1 + term),
term term omniabs(glob_h)
glob_h : h_new), if reached_interval() then display_poles())
(%i12) get_norms() := block([iii], if not glob_initial_pass
then (iii : 1, while iii <= glob_max_terms do (array_norms : 0.0,
iii
iii : 1 + iii), iii : 1, while iii <=
glob_max_terms do (if omniabs(array_y ) > array_norms
iii iii
then array_norms : omniabs(array_y ), iii : 1 + iii)))
iii iii
(%o12) get_norms() := block([iii], if not glob_initial_pass
then (iii : 1, while iii <= glob_max_terms do (array_norms : 0.0,
iii
iii : 1 + iii), iii : 1, while iii <=
glob_max_terms do (if omniabs(array_y ) > array_norms
iii iii
then array_norms : omniabs(array_y ), iii : 1 + iii)))
iii iii
(%i13) atomall() := block([kkk, order_d, adj2, adj3, temporary, term, temp,
temp2], array_tmp1 : array_const_1D0 + array_const_0D0 ,
1 1 1
array_tmp2 : sin(array_x ), array_tmp2_g : cos(array_x ),
1 1 1 1
array_tmp3 : array_tmp2 + array_tmp1 ,
1 1 1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
then (temporary : array_tmp3 expt(glob_h, 1) factorial_3(0, 1),
1
array_y : temporary, array_y_higher : temporary,
2 1, 2
temporary 1.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 2,
glob_h 2, 1
array_tmp2_g array_x - array_tmp2 array_x
1 2 1 2
array_tmp2 : ----------------------, array_tmp2_g : ----------------------,
2 1 2 1
array_tmp3 : array_tmp2 , if not array_y_set_initial
2 2 1, 3
then (if 2 <= glob_max_terms then (temporary :
array_tmp3 expt(glob_h, 1) factorial_3(1, 2), array_y : temporary,
2 3
temporary 2.0
array_y_higher : temporary, temporary : -------------,
1, 3 glob_h
array_y_higher : temporary, 0)), kkk : 3,
2, 2
array_tmp2_g array_x - array_tmp2 array_x
2 2 2 2
array_tmp2 : ----------------------, array_tmp2_g : ----------------------,
3 2 3 2
array_tmp3 : array_tmp2 , if not array_y_set_initial
3 3 1, 4
then (if 3 <= glob_max_terms then (temporary :
array_tmp3 expt(glob_h, 1) factorial_3(2, 3), array_y : temporary,
3 4
temporary 3.0
array_y_higher : temporary, temporary : -------------,
1, 4 glob_h
array_y_higher : temporary, 0)), kkk : 4,
2, 3
array_tmp2_g array_x - array_tmp2 array_x
3 2 3 2
array_tmp2 : ----------------------, array_tmp2_g : ----------------------,
4 3 4 3
array_tmp3 : array_tmp2 , if not array_y_set_initial
4 4 1, 5
then (if 4 <= glob_max_terms then (temporary :
array_tmp3 expt(glob_h, 1) factorial_3(3, 4), array_y : temporary,
4 5
temporary 4.0
array_y_higher : temporary, temporary : -------------,
1, 5 glob_h
array_y_higher : temporary, 0)), kkk : 5,
2, 4
array_tmp2_g array_x - array_tmp2 array_x
4 2 4 2
array_tmp2 : ----------------------, array_tmp2_g : ----------------------,
5 4 5 4
array_tmp3 : array_tmp2 , if not array_y_set_initial
5 5 1, 6
then (if 5 <= glob_max_terms then (temporary :
array_tmp3 expt(glob_h, 1) factorial_3(4, 5), array_y : temporary,
5 6
temporary 5.0
array_y_higher : temporary, temporary : -------------,
1, 6 glob_h
array_y_higher : temporary, 0)), kkk : 6,
2, 5
array_tmp2_g array_x
kkk - 1 2
while kkk <= glob_max_terms do (array_tmp2 : ----------------------------,
kkk kkk - 1
- array_tmp2 array_x
kkk - 1 2
array_tmp2_g : ----------------------------, array_tmp3 : array_tmp2 ,
kkk kkk - 1 kkk kkk
order_d : 1, if order_d + kkk < glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
then (temporary : array_tmp3 expt(glob_h, order_d)
kkk
factorial_3(kkk - 1, - 1 + order_d + kkk), array_y : temporary,
order_d + kkk
array_y_higher : temporary, term : - 1 + order_d + kkk,
1, order_d + kkk
adj2 : - 1 + order_d + kkk, adj3 : 2, while term >=
1 do (if adj3 <= 1 + order_d then (if adj2 > 0
temporary convfp(adj2)
then temporary : ---------------------- else temporary : temporary,
glob_h
array_y_higher : temporary), term : term - 1, adj2 : adj2 - 1,
adj3, term
adj3 : 1 + adj3))), kkk : 1 + kkk))
(%o13) atomall() := block([kkk, order_d, adj2, adj3, temporary, term, temp,
temp2], array_tmp1 : array_const_1D0 + array_const_0D0 ,
1 1 1
array_tmp2 : sin(array_x ), array_tmp2_g : cos(array_x ),
1 1 1 1
array_tmp3 : array_tmp2 + array_tmp1 ,
1 1 1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
then (temporary : array_tmp3 expt(glob_h, 1) factorial_3(0, 1),
1
array_y : temporary, array_y_higher : temporary,
2 1, 2
temporary 1.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 2,
glob_h 2, 1
array_tmp2_g array_x - array_tmp2 array_x
1 2 1 2
array_tmp2 : ----------------------, array_tmp2_g : ----------------------,
2 1 2 1
array_tmp3 : array_tmp2 , if not array_y_set_initial
2 2 1, 3
then (if 2 <= glob_max_terms then (temporary :
array_tmp3 expt(glob_h, 1) factorial_3(1, 2), array_y : temporary,
2 3
temporary 2.0
array_y_higher : temporary, temporary : -------------,
1, 3 glob_h
array_y_higher : temporary, 0)), kkk : 3,
2, 2
array_tmp2_g array_x - array_tmp2 array_x
2 2 2 2
array_tmp2 : ----------------------, array_tmp2_g : ----------------------,
3 2 3 2
array_tmp3 : array_tmp2 , if not array_y_set_initial
3 3 1, 4
then (if 3 <= glob_max_terms then (temporary :
array_tmp3 expt(glob_h, 1) factorial_3(2, 3), array_y : temporary,
3 4
temporary 3.0
array_y_higher : temporary, temporary : -------------,
1, 4 glob_h
array_y_higher : temporary, 0)), kkk : 4,
2, 3
array_tmp2_g array_x - array_tmp2 array_x
3 2 3 2
array_tmp2 : ----------------------, array_tmp2_g : ----------------------,
4 3 4 3
array_tmp3 : array_tmp2 , if not array_y_set_initial
4 4 1, 5
then (if 4 <= glob_max_terms then (temporary :
array_tmp3 expt(glob_h, 1) factorial_3(3, 4), array_y : temporary,
4 5
temporary 4.0
array_y_higher : temporary, temporary : -------------,
1, 5 glob_h
array_y_higher : temporary, 0)), kkk : 5,
2, 4
array_tmp2_g array_x - array_tmp2 array_x
4 2 4 2
array_tmp2 : ----------------------, array_tmp2_g : ----------------------,
5 4 5 4
array_tmp3 : array_tmp2 , if not array_y_set_initial
5 5 1, 6
then (if 5 <= glob_max_terms then (temporary :
array_tmp3 expt(glob_h, 1) factorial_3(4, 5), array_y : temporary,
5 6
temporary 5.0
array_y_higher : temporary, temporary : -------------,
1, 6 glob_h
array_y_higher : temporary, 0)), kkk : 6,
2, 5
array_tmp2_g array_x
kkk - 1 2
while kkk <= glob_max_terms do (array_tmp2 : ----------------------------,
kkk kkk - 1
- array_tmp2 array_x
kkk - 1 2
array_tmp2_g : ----------------------------, array_tmp3 : array_tmp2 ,
kkk kkk - 1 kkk kkk
order_d : 1, if order_d + kkk < glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
then (temporary : array_tmp3 expt(glob_h, order_d)
kkk
factorial_3(kkk - 1, - 1 + order_d + kkk), array_y : temporary,
order_d + kkk
array_y_higher : temporary, term : - 1 + order_d + kkk,
1, order_d + kkk
adj2 : - 1 + order_d + kkk, adj3 : 2, while term >=
1 do (if adj3 <= 1 + order_d then (if adj2 > 0
temporary convfp(adj2)
then temporary : ---------------------- else temporary : temporary,
glob_h
array_y_higher : temporary), term : term - 1, adj2 : adj2 - 1,
adj3, term
adj3 : 1 + adj3))), kkk : 1 + kkk))
log(x)
(%i14) log10(x) := ---------
log(10.0)
log(x)
(%o14) log10(x) := ---------
log(10.0)
(%i15) omniout_str(iolevel, str) := if glob_iolevel >= iolevel
then printf(true, "~a~%", string(str))
(%o15) omniout_str(iolevel, str) := if glob_iolevel >= iolevel
then printf(true, "~a~%", string(str))
(%i16) omniout_str_noeol(iolevel, str) :=
if glob_iolevel >= iolevel then printf(true, "~a", string(str))
(%o16) omniout_str_noeol(iolevel, str) :=
if glob_iolevel >= iolevel then printf(true, "~a", string(str))
(%i17) omniout_labstr(iolevel, label, str) :=
if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label),
string(str))
(%o17) omniout_labstr(iolevel, label, str) :=
if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label),
string(str))
(%i18) 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))
(%o18) 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))
(%i19) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value,
postlabel), newline())
(%o19) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value,
postlabel), newline())
(%i20) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen,
postlabel) := if glob_iolevel >= iolevel
then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline())
(%o20) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen,
postlabel) := if glob_iolevel >= iolevel
then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline())
(%i21) dump_series(iolevel, dump_label, series_name, arr_series, numb) :=
block([i], if glob_iolevel >= iolevel then (i : 1,
while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ",
array_series ), newline(), i : 1 + i)))
i
(%o21) dump_series(iolevel, dump_label, series_name, arr_series, numb) :=
block([i], if glob_iolevel >= iolevel then (i : 1,
while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ",
array_series ), newline(), i : 1 + i)))
i
(%i22) dump_series_2(iolevel, dump_label, series_name2, arr_series2, numb,
subnum, arr_x) := (array_series2, numb, subnum) :=
block([i, sub, ts_term], if glob_iolevel >= iolevel
then (sub : 1, while sub <= subnum do (i : 1,
while i <= num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i,
"series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub)))
sub, i
(%o22) dump_series_2(iolevel, dump_label, series_name2, arr_series2, numb,
subnum, arr_x) := (array_series2, numb, subnum) :=
block([i, sub, ts_term], if glob_iolevel >= iolevel
then (sub : 1, while sub <= subnum do (i : 1,
while i <= num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i,
"series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub)))
sub, i
(%i23) cs_info(iolevel, str) := if glob_iolevel >= iolevel
then sprint(concat("cs_info ", str, " glob_correct_start_flag = ",
glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h))
(%o23) cs_info(iolevel, str) := if glob_iolevel >= iolevel
then sprint(concat("cs_info ", str, " glob_correct_start_flag = ",
glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h))
(%i24) logitem_time(fd, secs_in) := block([days, days_int, hours, hours_int,
minutes, minutes_int, sec_int, seconds, secs, years, years_int],
secs : convfloat(secs_in), printf(fd, "| ~%"),
secs
if secs >= 0 then (years_int : trunc(----------------),
glob_sec_in_year
sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)),
sec_temp
days_int : trunc(---------------), sec_temp :
glob_sec_in_day
sec_temp
mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------),
glob_sec_in_hour
sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)),
sec_temp
minutes_int : trunc(------------------),
glob_sec_in_minute
sec_int : mod(sec_temp, trunc(glob_sec_in_minute)),
if years_int > 0 then printf(fd,
"= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int,
hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(fd, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(fd, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int,
sec_int) elseif minutes_int > 0 then printf(fd, "= ~d Minutes ~d Seconds~%",
minutes_int, sec_int) else printf(fd, "= ~d Seconds~%", sec_int))
else printf(fd, " Unknown~%"), printf(fd, " | ~%"))
(%o24) logitem_time(fd, secs_in) := block([days, days_int, hours, hours_int,
minutes, minutes_int, sec_int, seconds, secs, years, years_int],
secs : convfloat(secs_in), printf(fd, "~%"),
secs
if secs >= 0 then (years_int : trunc(----------------),
glob_sec_in_year
sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)),
sec_temp
days_int : trunc(---------------), sec_temp :
glob_sec_in_day
sec_temp
mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------),
glob_sec_in_hour
sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)),
sec_temp
minutes_int : trunc(------------------),
glob_sec_in_minute
sec_int : mod(sec_temp, trunc(glob_sec_in_minute)),
if years_int > 0 then printf(fd,
"= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int,
hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(fd, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(fd, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int,
sec_int) elseif minutes_int > 0 then printf(fd, "= ~d Minutes ~d Seconds~%",
minutes_int, sec_int) else printf(fd, "= ~d Seconds~%", sec_int))
else printf(fd, " Unknown~%"), printf(fd, " | ~%"))
(%i25) omniout_timestr(secs_in) := block([days, days_int, hours, hours_int,
minutes, minutes_int, sec_int, seconds, secs, years, years_int],
secs : convfloat(secs_in), if secs >= 0
secs
then (years_int : trunc(----------------),
glob_sec_in_year
sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)),
sec_temp
days_int : trunc(---------------), sec_temp :
glob_sec_in_day
sec_temp
mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------),
glob_sec_in_hour
sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)),
sec_temp
minutes_int : trunc(------------------),
glob_sec_in_minute
sec_int : mod(sec_temp, trunc(glob_sec_in_minute)),
if years_int > 0 then printf(true,
"= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int,
hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int,
minutes_int, sec_int) elseif minutes_int > 0
then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int)
else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%"))
(%o25) omniout_timestr(secs_in) := block([days, days_int, hours, hours_int,
minutes, minutes_int, sec_int, seconds, secs, years, years_int],
secs : convfloat(secs_in), if secs >= 0
secs
then (years_int : trunc(----------------),
glob_sec_in_year
sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)),
sec_temp
days_int : trunc(---------------), sec_temp :
glob_sec_in_day
sec_temp
mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------),
glob_sec_in_hour
sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)),
sec_temp
minutes_int : trunc(------------------),
glob_sec_in_minute
sec_int : mod(sec_temp, trunc(glob_sec_in_minute)),
if years_int > 0 then printf(true,
"= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int,
hours_int, minutes_int, sec_int) elseif days_int > 0
then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0
then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int,
minutes_int, sec_int) elseif minutes_int > 0
then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int)
else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%"))
(%i26) ats(mmm_ats, arr_a, arr_b, jjj_ats) :=
block([iii_ats, lll_ats, ma_ats, ret_ats], 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,
ret_ats : arr_a arr_b + ret_ats, iii_ats : 1 + iii_ats)),
iii_ats lll_ats
ret_ats)
(%o26) ats(mmm_ats, arr_a, arr_b, jjj_ats) :=
block([iii_ats, lll_ats, ma_ats, ret_ats], 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,
ret_ats : arr_a arr_b + ret_ats, iii_ats : 1 + iii_ats)),
iii_ats lll_ats
ret_ats)
(%i27) att(mmm_att, arr_aa, arr_bb, jjj_att) :=
block([al_att, iii_att, lll_att, ma_att, ret_att], ret_att : 0.0,
if jjj_att <= mmm_att then (ma_att : 2 + mmm_att, iii_att : jjj_att,
while iii_att <= mmm_att do (lll_att : ma_att - iii_att,
al_att : lll_att - 1, if lll_att <= glob_max_terms
then ret_att : arr_aa arr_bb convfp(al_att) + ret_att,
iii_att lll_att
ret_att
iii_att : 1 + iii_att), ret_att : ---------------), ret_att)
convfp(mmm_att)
(%o27) att(mmm_att, arr_aa, arr_bb, jjj_att) :=
block([al_att, iii_att, lll_att, ma_att, ret_att], ret_att : 0.0,
if jjj_att <= mmm_att then (ma_att : 2 + mmm_att, iii_att : jjj_att,
while iii_att <= mmm_att do (lll_att : ma_att - iii_att,
al_att : lll_att - 1, if lll_att <= glob_max_terms
then ret_att : arr_aa arr_bb convfp(al_att) + ret_att,
iii_att lll_att
ret_att
iii_att : 1 + iii_att), ret_att : ---------------), ret_att)
convfp(mmm_att)
(%i28) display_pole_debug(typ, m, radius, order2) :=
(if typ = 1 then omniout_str(ALWAYS, "Real")
else omniout_str(ALWAYS, "Complex"), omniout_int(ALWAYS, "m", 4, m, 4, " "),
omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4, " "),
omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4, " "))
(%o28) display_pole_debug(typ, m, radius, order2) :=
(if typ = 1 then omniout_str(ALWAYS, "Real")
else omniout_str(ALWAYS, "Complex"), omniout_int(ALWAYS, "m", 4, m, 4, " "),
omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4, " "),
omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4, " "))
(%i29) logditto(file) := (printf(file, ""), printf(file, "ditto"),
printf(file, " | "))
(%o29) logditto(file) := (printf(file, ""), printf(file, "ditto"),
printf(file, " | "))
(%i30) logitem_integer(file, n) := (printf(file, ""),
printf(file, "~d", n), printf(file, " | "))
(%o30) logitem_integer(file, n) := (printf(file, ""),
printf(file, "~d", n), printf(file, " | "))
(%i31) logitem_str(file, str) := (printf(file, ""), printf(file, str),
printf(file, " | "))
(%o31) logitem_str(file, str) := (printf(file, ""), printf(file, str),
printf(file, " | "))
(%i32) logitem_good_digits(file, rel_error) :=
block([good_digits], printf(file, ""),
if rel_error # - 1.0 then (if rel_error > + 1.0E-34
then (good_digits : 1 - floor(log10(rel_error)),
printf(file, "~d", good_digits)) else (good_digits : 16,
printf(file, "~d", good_digits))) else printf(file, "Unknown"),
printf(file, " | "))
(%o32) logitem_good_digits(file, rel_error) :=
block([good_digits], printf(file, ""),
if rel_error # - 1.0 then (if rel_error > + 1.0E-34
then (good_digits : 1 - floor(log10(rel_error)),
printf(file, "~d", good_digits)) else (good_digits : 16,
printf(file, "~d", good_digits))) else printf(file, "Unknown"),
printf(file, " | "))
(%i33) log_revs(file, revs) := printf(file, revs)
(%o33) log_revs(file, revs) := printf(file, revs)
(%i34) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x),
printf(file, " | "))
(%o34) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x),
printf(file, " | "))
(%i35) logitem_pole(file, pole) := (printf(file, ""),
if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real")
elseif pole = 2 then printf(file, "Complex") elseif pole = 4
then printf(file, "Yes") else printf(file, "No"), printf(file, " | "))
(%o35) logitem_pole(file, pole) := (printf(file, ""),
if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real")
elseif pole = 2 then printf(file, "Complex") elseif pole = 4
then printf(file, "Yes") else printf(file, "No"), printf(file, " | "))
(%i36) logstart(file) := printf(file, "")
(%o36) logstart(file) := printf(file, "
")
(%i37) logend(file) := printf(file, "
~%")
(%o37) logend(file) := printf(file, "~%")
(%i38) chk_data() := block([errflag], errflag : false,
if (glob_max_terms < 15) or (glob_max_terms > 512)
then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"),
glob_max_terms : 30), if glob_max_iter < 2
then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true),
if errflag then quit())
(%o38) chk_data() := block([errflag], errflag : false,
if (glob_max_terms < 15) or (glob_max_terms > 512)
then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"),
glob_max_terms : 30), if glob_max_iter < 2
then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true),
if errflag then quit())
(%i39) comp_expect_sec(t_end2, t_start2, t2, clock_sec2) :=
block([ms2, rrr, sec_left, sub1, sub2], ms2 : clock_sec2,
sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
if sub1 = 0.0 then sec_left : 0.0 else (if sub2 > 0.0
sub1
then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left)
sub2
(%o39) comp_expect_sec(t_end2, t_start2, t2, clock_sec2) :=
block([ms2, rrr, sec_left, sub1, sub2], ms2 : clock_sec2,
sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
if sub1 = 0.0 then sec_left : 0.0 else (if sub2 > 0.0
sub1
then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left)
sub2
(%i40) comp_percent(t_end2, t_start2, t2) :=
block([rrr, sub1, sub2], sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
100.0 sub2
if sub2 > glob_small_float then rrr : ---------- else rrr : 0.0, rrr)
sub1
(%o40) comp_percent(t_end2, t_start2, t2) :=
block([rrr, sub1, sub2], sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
100.0 sub2
if sub2 > glob_small_float then rrr : ---------- else rrr : 0.0, rrr)
sub1
(%i41) factorial_2(nnn) := nnn!
(%o41) factorial_2(nnn) := nnn!
(%i42) factorial_1(nnn) := block([ret],
if nnn <= glob_max_terms then (if array_fact_1 = 0
nnn
then (ret : factorial_2(nnn), array_fact_1 : ret)
nnn
else ret : array_fact_1 ) else ret : factorial_2(nnn), ret)
nnn
(%o42) factorial_1(nnn) := block([ret],
if nnn <= glob_max_terms then (if array_fact_1 = 0
nnn
then (ret : factorial_2(nnn), array_fact_1 : ret)
nnn
else ret : array_fact_1 ) else ret : factorial_2(nnn), ret)
nnn
(%i43) factorial_3(mmm, nnn) := block([ret],
if (nnn <= glob_max_terms) and (mmm <= glob_max_terms)
factorial_1(mmm)
then (if array_fact_2 = 0 then (ret : ----------------,
mmm, nnn factorial_1(nnn)
array_fact_2 : ret) else ret : array_fact_2 )
mmm, nnn mmm, nnn
factorial_2(mmm)
else ret : ----------------, ret)
factorial_2(nnn)
(%o43) factorial_3(mmm, nnn) := block([ret],
if (nnn <= glob_max_terms) and (mmm <= glob_max_terms)
factorial_1(mmm)
then (if array_fact_2 = 0 then (ret : ----------------,
mmm, nnn factorial_1(nnn)
array_fact_2 : ret) else ret : array_fact_2 )
mmm, nnn mmm, nnn
factorial_2(mmm)
else ret : ----------------, ret)
factorial_2(nnn)
(%i44) convfp(mmm) := mmm
(%o44) convfp(mmm) := mmm
(%i45) convfloat(mmm) := mmm
(%o45) convfloat(mmm) := mmm
(%i46) elapsed_time_seconds() := block([t], t : elapsed_real_time(), t)
(%o46) elapsed_time_seconds() := block([t], t : elapsed_real_time(), t)
(%i47) Si(x) := 0.0
(%o47) Si(x) := 0.0
(%i48) Ci(x) := 0.0
(%o48) Ci(x) := 0.0
(%i49) ln(x) := log(x)
(%o49) ln(x) := log(x)
(%i50) arcsin(x) := asin(x)
(%o50) arcsin(x) := asin(x)
(%i51) arccos(x) := acos(x)
(%o51) arccos(x) := acos(x)
(%i52) arctan(x) := atan(x)
(%o52) arctan(x) := atan(x)
(%i53) omniabs(x) := abs(x)
(%o53) omniabs(x) := abs(x)
(%i54) expt(x, y) := (if (x <= 0.0) and (y < 0.0)
y
then print("expt error x = ", x, "y = ", y), x )
(%o54) expt(x, y) := (if (x <= 0.0) and (y < 0.0)
y
then print("expt error x = ", x, "y = ", y), x )
(%i55) 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) omniabs(estimated_answer),
omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32,
""), range : x_end - x_start, omniout_float(ALWAYS, "range", 32, range, 32,
range
""), estimated_steps : -----------, omniout_float(ALWAYS, "estimated_steps",
estimated_h
desired_abs_gbl_error
32, estimated_steps, 32, ""), step_error : omniabs(---------------------),
estimated_steps
omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""), step_error)
(%o55) 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) omniabs(estimated_answer),
omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32,
""), range : x_end - x_start, omniout_float(ALWAYS, "range", 32, range, 32,
range
""), estimated_steps : -----------, omniout_float(ALWAYS, "estimated_steps",
estimated_h
desired_abs_gbl_error
32, estimated_steps, 32, ""), step_error : omniabs(---------------------),
estimated_steps
omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""), step_error)
(%i56) exact_soln_y(x) := block(x - cos(x) + 2.0)
(%o56) exact_soln_y(x) := block(x - cos(x) + 2.0)
(%i57) main() := block([d1, d2, d3, d4, est_err_2, niii, done_once, term, ord,
order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter,
calc_term, iii, temp_sum, current_iter, x_start, x_end, it, max_terms,
opt_iter, tmp, subiter, est_needed_step_err, estimated_step_error, min_value,
est_answer, best_h, found_h, repeat_it],
define_variable(glob_max_terms, 30, fixnum),
define_variable(glob_iolevel, 5, fixnum),
define_variable(glob_yes_pole, 4, fixnum),
define_variable(glob_no_pole, 3, fixnum),
define_variable(glob_not_given, 0, fixnum),
define_variable(ALWAYS, 1, fixnum), define_variable(INFO, 2, fixnum),
define_variable(DEBUGL, 3, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_check_sign, 1.0, float),
define_variable(glob_desired_digits_correct, 8.0, float),
define_variable(glob_max_estimated_step_error, 0.0, float),
define_variable(glob_ratio_of_radius, 0.1, float),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(glob_total_exp_sec, 0.1, float),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(glob_html_log, true, boolean),
define_variable(glob_good_digits, 0, fixnum),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_dump, false, boolean),
define_variable(glob_djd_debug, true, boolean),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_djd_debug2, true, boolean),
define_variable(glob_sec_in_minute, 60, fixnum),
define_variable(glob_min_in_hour, 60, fixnum),
define_variable(glob_hours_in_day, 24, fixnum),
define_variable(glob_days_in_year, 365, fixnum),
define_variable(glob_sec_in_hour, 3600, fixnum),
define_variable(glob_sec_in_day, 86400, fixnum),
define_variable(glob_sec_in_year, 31536000, fixnum),
define_variable(glob_almost_1, 0.999, float),
define_variable(glob_clock_sec, 0.0, float),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(glob_not_yet_finished, true, boolean),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_not_yet_start_msg, true, boolean),
define_variable(glob_reached_optimal_h, false, boolean),
define_variable(glob_optimal_done, false, boolean),
define_variable(glob_disp_incr, 0.1, float),
define_variable(glob_h, 0.1, float), define_variable(glob_max_h, 0.1, float),
define_variable(glob_min_h, 1.0E-6, float),
define_variable(glob_type_given_pole, 0, fixnum),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(glob_look_poles, false, boolean),
define_variable(glob_neg_h, false, boolean),
define_variable(glob_display_interval, 0.0, float),
define_variable(glob_next_display, 0.0, float),
define_variable(glob_dump_analytic, false, boolean),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_small_float, 0.0, float),
define_variable(glob_smallish_float, 0.0, float),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(glob_warned, false, boolean),
define_variable(glob_warned2, false, boolean),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_start, 0, fixnum),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_iter, 0, fixnum),
define_variable(glob_normmax, 0.0, float),
define_variable(glob_max_minutes, 0.0, float), ALWAYS : 1, INFO : 2,
DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO,
glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10,
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/add_c_sinpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = 1.0 + sin(x);"),
omniout_str(ALWAYS, "!"), omniout_str(ALWAYS,
"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits:32,"),
omniout_str(ALWAYS, "max_terms:30,"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "x_start:-5.0,"), omniout_str(ALWAYS, "x_end:5.0,"),
omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS, "glob_look_poles:true,"),
omniout_str(ALWAYS, "glob_max_iter:1000000,"),
omniout_str(ALWAYS, "glob_max_minutes:10,"),
omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS, "glob_desired_digits_correct:10,"),
omniout_str(ALWAYS, "glob_display_interval:0.01,"),
omniout_str(ALWAYS, "glob_look_poles:true,"),
omniout_str(ALWAYS, "glob_max_iter:10000000,"),
omniout_str(ALWAYS, "glob_max_minutes:3,"),
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, " (2.0 - cos(x) + x) "), omniout_str(ALWAYS, "));"),
omniout_str(ALWAYS, "/* END USER DEF BLOCK */"),
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"),
glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false,
glob_small_float : 0.0, glob_smallish_float : 0.0,
glob_large_float : 1.0E+100, glob_almost_1 : 0.99, Digits : 32,
max_terms : 30, glob_max_terms : max_terms, glob_html_log : true,
array(array_y_init, 1 + max_terms), array(array_norms, 1 + max_terms),
array(array_fact_1, 1 + max_terms), array(array_pole, 1 + 4),
array(array_real_pole, 1 + 4), array(array_complex_pole, 1 + 4),
array(array_1st_rel_error, 1 + 2), array(array_last_rel_error, 1 + 2),
array(array_type_pole, 1 + 2), array(array_type_real_pole, 1 + 2),
array(array_type_complex_pole, 1 + 2), array(array_y, 1 + max_terms),
array(array_x, 1 + max_terms), array(array_tmp0, 1 + max_terms),
array(array_tmp1, 1 + max_terms), array(array_tmp2_g, 1 + max_terms),
array(array_tmp2, 1 + max_terms), array(array_tmp3, 1 + max_terms),
array(array_m1, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_y_higher_work, 1 + 2, 1 + max_terms),
array(array_y_higher_work2, 1 + 2, 1 + max_terms),
array(array_y_set_initial, 1 + 2, 1 + max_terms),
array(array_poles, 1 + 2, 1 + 3), array(array_given_rad_poles, 1 + 2, 1 + 3),
array(array_given_ord_poles, 1 + 2, 1 + 3),
array(array_real_poles, 1 + 2, 1 + 3),
array(array_complex_poles, 1 + 2, 1 + 3),
array(array_fact_2, 1 + max_terms, 1 + max_terms), term : 1,
while term <= max_terms do (array_y_init : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_norms : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_fact_1 : 0.0, term : 1 + term), term : 1,
term
while term <= 4 do (array_pole : 0.0, term : 1 + term), term : 1,
term
while term <= 4 do (array_real_pole : 0.0, term : 1 + term), term : 1,
term
while term <= 4 do (array_complex_pole : 0.0, term : 1 + term), term : 1,
term
while term <= 2 do (array_1st_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= 2 do (array_last_rel_error : 0.0,
term
term : 1 + term), term : 1, while term <= 2 do (array_type_pole : 0.0,
term
term : 1 + term), term : 1, while term <=
2 do (array_type_real_pole : 0.0, term : 1 + term), term : 1,
term
while term <= 2 do (array_type_complex_pole : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_y : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_x : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp2_g : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp2 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp3 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_m1 : 0.0,
term
term : 1 + term), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher_work2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_set_initial : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <= 3 do (array_poles : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
3 do (array_given_rad_poles : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 2 do (term : 1,
while term <= 3 do (array_given_ord_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= 3 do (array_real_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= 3 do (array_complex_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= max_terms do (term : 1,
while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), array(array_y, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term),
term
array(array_x, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term),
term
array(array_tmp0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
array(array_tmp1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
array(array_tmp2_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2_g : 0.0, term : 1 + term),
term
array(array_tmp2, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term),
term
array(array_tmp3, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term),
term
array(array_m1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_m1 : 0.0, term : 1 + term),
term
array(array_const_1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term),
term
array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term),
term
array_const_0D0 : 0.0, array(array_const_1D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_1D0 : 0.0, term : 1 + term),
term
array_const_1D0 : 1.0, array(array_m1, 1 + 1 + max_terms), term : 1,
1
while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0,
1
while jjjf <= glob_max_terms do (array_fact_1 : 0,
iiif
array_fact_2 : 0, jjjf : 1 + jjjf), iiif : 1 + iiif),
iiif, jjjf
x_start : - 5.0, x_end : 5.0, array_y_init : exact_soln_y(x_start),
1 + 0
glob_look_poles : true, glob_max_iter : 1000000, glob_max_minutes : 10,
glob_desired_digits_correct : 10, glob_display_interval : 0.01,
glob_look_poles : true, glob_max_iter : 10000000, glob_max_minutes : 3,
glob_subiter_method : 3, glob_last_good_h : glob_h,
glob_max_terms : max_terms, glob_max_sec :
convfloat(3600.0) convfloat(glob_max_hours)
+ convfloat(60.0) convfloat(glob_max_minutes),
if glob_h > 0.0 then (glob_neg_h : false,
glob_display_interval : omniabs(glob_display_interval))
else (glob_neg_h : true, glob_display_interval :
- omniabs(glob_display_interval)), chk_data(), array_y_set_initial : true,
1, 1
array_y_set_initial : false, array_y_set_initial : false,
1, 2 1, 3
array_y_set_initial : false, array_y_set_initial : false,
1, 4 1, 5
array_y_set_initial : false, array_y_set_initial : false,
1, 6 1, 7
array_y_set_initial : false, array_y_set_initial : false,
1, 8 1, 9
array_y_set_initial : false, array_y_set_initial : false,
1, 10 1, 11
array_y_set_initial : false, array_y_set_initial : false,
1, 12 1, 13
array_y_set_initial : false, array_y_set_initial : false,
1, 14 1, 15
array_y_set_initial : false, array_y_set_initial : false,
1, 16 1, 17
array_y_set_initial : false, array_y_set_initial : false,
1, 18 1, 19
array_y_set_initial : false, array_y_set_initial : false,
1, 20 1, 21
array_y_set_initial : false, array_y_set_initial : false,
1, 22 1, 23
array_y_set_initial : false, array_y_set_initial : false,
1, 24 1, 25
array_y_set_initial : false, array_y_set_initial : false,
1, 26 1, 27
array_y_set_initial : false, array_y_set_initial : false,
1, 28 1, 29
array_y_set_initial : false, omniout_str(ALWAYS, "START of Optimize"),
1, 30
glob_check_sign : check_sign(x_start, x_end),
glob_h : check_sign(x_start, x_end), found_h : false, glob_h : glob_min_h,
if glob_max_h < glob_h then glob_h : glob_max_h,
if glob_display_interval < glob_h then glob_h : glob_display_interval,
best_h : glob_h, min_value : glob_large_float, est_answer : est_size_answer(),
opt_iter : 1, est_needed_step_err : estimated_needed_step_error(x_start,
x_end, glob_h, est_answer), omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, ""), estimated_step_error : 0.0,
while (opt_iter <= 100) and (not found_h) do (omniout_int(ALWAYS, "opt_iter",
32, opt_iter, 4, ""), array_x : x_start, array_x : glob_h,
1 2
glob_next_display : x_start, order_diff : 1, term_no : 1,
while term_no <= order_diff do (array_y :
term_no
array_y_init expt(glob_h, term_no - 1)
term_no
---------------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
array_y_init expt(glob_h, term_no - 1)
it
array_y_higher : ----------------------------------------,
r_order, term_no factorial_1(term_no - 1)
term_no : 1 + term_no), r_order : 1 + r_order), atomall(),
estimated_step_error : test_suggested_h(),
omniout_float(ALWAYS, "estimated_step_error", 32, estimated_step_error, 32,
""), if ((estimated_step_error > est_needed_step_err) and (opt_iter = 1))
or (glob_h >= glob_max_h) then (found_h : true, glob_h : glob_max_h,
best_h : glob_h) elseif (estimated_step_error > est_needed_step_err)
glob_h
and (not found_h) then (glob_h : ------, best_h : glob_h, found_h : true)
2.0
else (glob_h : glob_h 2.0, best_h : glob_h),
omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""), opt_iter : 1 + opt_iter),
if (not found_h) and (opt_iter = 1) then (omniout_str(ALWAYS,
"Beginning glob_h too large."), found_h : false),
if opt_iter > 100 then (glob_h : glob_max_h, found_h : false),
if glob_display_interval < glob_h then glob_h : glob_display_interval,
if glob_html_log then html_log_file : openw("entry.html"),
if found_h then (omniout_str(ALWAYS, "START of Soultion"), array_x : x_start,
1
array_x : glob_h, glob_next_display : x_start, order_diff : 1, term_no : 1,
2
while term_no <= order_diff do (array_y :
term_no
array_y_init expt(glob_h, term_no - 1)
term_no
---------------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
array_y_init expt(glob_h, term_no - 1)
it
array_y_higher : ----------------------------------------,
r_order, term_no 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 < glob_check_sign x_end)
1
and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec)) do (if reached_interval
() then (omniout_str(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop")),
glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 1 + glob_current_iter, atomall(),
display_alot(current_iter), if glob_look_poles then check_for_pole(),
if reached_interval() then glob_next_display :
glob_display_interval + glob_next_display, array_x : glob_h + array_x ,
1 1
array_x : glob_h, order_diff : 2, ord : 2, calc_term : 1,
2
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
2, iii
array_y_higher
2, iii
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 2, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, ord : 1, calc_term : 2,
factorial_1(calc_term - 1)
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 2, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, ord : 1, calc_term : 1,
factorial_1(calc_term - 1)
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, term_no : glob_max_terms,
factorial_1(calc_term - 1)
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1)),
ord, term_no
omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter
then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >=
convfloat(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 ) = 1.0 + sin(x);"),
omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "),
prog_report(x_start, x_end), if glob_html_log
then (logstart(html_log_file), logitem_str(html_log_file,
"2013-05-25T23:35:24-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "add_c_sin"),
logitem_str(html_log_file, "diff ( y , x , 1 ) = 1.0 + sin(x);"),
logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end),
logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h),
1
logitem_str(html_log_file, "16"), logitem_good_digits(html_log_file,
array_last_rel_error ), logitem_integer(html_log_file, glob_max_terms),
1
logitem_float(html_log_file, array_1st_rel_error ),
1
logitem_float(html_log_file, array_last_rel_error ),
1
logitem_integer(html_log_file, glob_iter),
logitem_time(html_log_file, convfloat(glob_clock_sec)),
if glob_percent_done < 100.0 then (logitem_time(html_log_file,
convfloat(glob_total_exp_sec)), 0) else (logitem_str(html_log_file, "Done"),
0), log_revs(html_log_file, " 189 | "), logitem_str(html_log_file, "add_c_sin diffeq.max"),
logitem_str(html_log_file,
"add_c_sin maxima results"),
logitem_str(html_log_file, "All Tests - All Languages"),
logend(html_log_file)), if glob_html_log then close(html_log_file)))
(%o57) main() := block([d1, d2, d3, d4, est_err_2, niii, done_once, term, ord,
order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter,
calc_term, iii, temp_sum, current_iter, x_start, x_end, it, max_terms,
opt_iter, tmp, subiter, est_needed_step_err, estimated_step_error, min_value,
est_answer, best_h, found_h, repeat_it],
define_variable(glob_max_terms, 30, fixnum),
define_variable(glob_iolevel, 5, fixnum),
define_variable(glob_yes_pole, 4, fixnum),
define_variable(glob_no_pole, 3, fixnum),
define_variable(glob_not_given, 0, fixnum),
define_variable(ALWAYS, 1, fixnum), define_variable(INFO, 2, fixnum),
define_variable(DEBUGL, 3, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum),
define_variable(MAX_UNCHANGED, 10, fixnum),
define_variable(glob_check_sign, 1.0, float),
define_variable(glob_desired_digits_correct, 8.0, float),
define_variable(glob_max_estimated_step_error, 0.0, float),
define_variable(glob_ratio_of_radius, 0.1, float),
define_variable(glob_percent_done, 0.0, float),
define_variable(glob_subiter_method, 3, fixnum),
define_variable(glob_total_exp_sec, 0.1, float),
define_variable(glob_optimal_expect_sec, 0.1, float),
define_variable(glob_html_log, true, boolean),
define_variable(glob_good_digits, 0, fixnum),
define_variable(glob_max_opt_iter, 10, fixnum),
define_variable(glob_dump, false, boolean),
define_variable(glob_djd_debug, true, boolean),
define_variable(glob_display_flag, true, boolean),
define_variable(glob_djd_debug2, true, boolean),
define_variable(glob_sec_in_minute, 60, fixnum),
define_variable(glob_min_in_hour, 60, fixnum),
define_variable(glob_hours_in_day, 24, fixnum),
define_variable(glob_days_in_year, 365, fixnum),
define_variable(glob_sec_in_hour, 3600, fixnum),
define_variable(glob_sec_in_day, 86400, fixnum),
define_variable(glob_sec_in_year, 31536000, fixnum),
define_variable(glob_almost_1, 0.999, float),
define_variable(glob_clock_sec, 0.0, float),
define_variable(glob_clock_start_sec, 0.0, float),
define_variable(glob_not_yet_finished, true, boolean),
define_variable(glob_initial_pass, true, boolean),
define_variable(glob_not_yet_start_msg, true, boolean),
define_variable(glob_reached_optimal_h, false, boolean),
define_variable(glob_optimal_done, false, boolean),
define_variable(glob_disp_incr, 0.1, float),
define_variable(glob_h, 0.1, float), define_variable(glob_max_h, 0.1, float),
define_variable(glob_min_h, 1.0E-6, float),
define_variable(glob_type_given_pole, 0, fixnum),
define_variable(glob_large_float, 9.0E+100, float),
define_variable(glob_last_good_h, 0.1, float),
define_variable(glob_look_poles, false, boolean),
define_variable(glob_neg_h, false, boolean),
define_variable(glob_display_interval, 0.0, float),
define_variable(glob_next_display, 0.0, float),
define_variable(glob_dump_analytic, false, boolean),
define_variable(glob_abserr, 1.0E-11, float),
define_variable(glob_relerr, 1.0E-11, float),
define_variable(glob_max_hours, 0.0, float),
define_variable(glob_max_iter, 1000, fixnum),
define_variable(glob_max_rel_trunc_err, 1.0E-11, float),
define_variable(glob_max_trunc_err, 1.0E-11, float),
define_variable(glob_no_eqs, 0, fixnum),
define_variable(glob_optimal_clock_start_sec, 0.0, float),
define_variable(glob_optimal_start, 0.0, float),
define_variable(glob_small_float, 0.0, float),
define_variable(glob_smallish_float, 0.0, float),
define_variable(glob_unchanged_h_cnt, 0, fixnum),
define_variable(glob_warned, false, boolean),
define_variable(glob_warned2, false, boolean),
define_variable(glob_max_sec, 10000.0, float),
define_variable(glob_orig_start_sec, 0.0, float),
define_variable(glob_start, 0, fixnum),
define_variable(glob_curr_iter_when_opt, 0, fixnum),
define_variable(glob_current_iter, 0, fixnum),
define_variable(glob_iter, 0, fixnum),
define_variable(glob_normmax, 0.0, float),
define_variable(glob_max_minutes, 0.0, float), ALWAYS : 1, INFO : 2,
DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO,
glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10,
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/add_c_sinpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = 1.0 + sin(x);"),
omniout_str(ALWAYS, "!"), omniout_str(ALWAYS,
"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits:32,"),
omniout_str(ALWAYS, "max_terms:30,"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "x_start:-5.0,"), omniout_str(ALWAYS, "x_end:5.0,"),
omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS, "glob_look_poles:true,"),
omniout_str(ALWAYS, "glob_max_iter:1000000,"),
omniout_str(ALWAYS, "glob_max_minutes:10,"),
omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS, "glob_desired_digits_correct:10,"),
omniout_str(ALWAYS, "glob_display_interval:0.01,"),
omniout_str(ALWAYS, "glob_look_poles:true,"),
omniout_str(ALWAYS, "glob_max_iter:10000000,"),
omniout_str(ALWAYS, "glob_max_minutes:3,"),
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, " (2.0 - cos(x) + x) "), omniout_str(ALWAYS, "));"),
omniout_str(ALWAYS, "/* END USER DEF BLOCK */"),
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"),
glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false,
glob_small_float : 0.0, glob_smallish_float : 0.0,
glob_large_float : 1.0E+100, glob_almost_1 : 0.99, Digits : 32,
max_terms : 30, glob_max_terms : max_terms, glob_html_log : true,
array(array_y_init, 1 + max_terms), array(array_norms, 1 + max_terms),
array(array_fact_1, 1 + max_terms), array(array_pole, 1 + 4),
array(array_real_pole, 1 + 4), array(array_complex_pole, 1 + 4),
array(array_1st_rel_error, 1 + 2), array(array_last_rel_error, 1 + 2),
array(array_type_pole, 1 + 2), array(array_type_real_pole, 1 + 2),
array(array_type_complex_pole, 1 + 2), array(array_y, 1 + max_terms),
array(array_x, 1 + max_terms), array(array_tmp0, 1 + max_terms),
array(array_tmp1, 1 + max_terms), array(array_tmp2_g, 1 + max_terms),
array(array_tmp2, 1 + max_terms), array(array_tmp3, 1 + max_terms),
array(array_m1, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms),
array(array_y_higher_work, 1 + 2, 1 + max_terms),
array(array_y_higher_work2, 1 + 2, 1 + max_terms),
array(array_y_set_initial, 1 + 2, 1 + max_terms),
array(array_poles, 1 + 2, 1 + 3), array(array_given_rad_poles, 1 + 2, 1 + 3),
array(array_given_ord_poles, 1 + 2, 1 + 3),
array(array_real_poles, 1 + 2, 1 + 3),
array(array_complex_poles, 1 + 2, 1 + 3),
array(array_fact_2, 1 + max_terms, 1 + max_terms), term : 1,
while term <= max_terms do (array_y_init : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_norms : 0.0,
term
term : 1 + term), term : 1, while term <=
max_terms do (array_fact_1 : 0.0, term : 1 + term), term : 1,
term
while term <= 4 do (array_pole : 0.0, term : 1 + term), term : 1,
term
while term <= 4 do (array_real_pole : 0.0, term : 1 + term), term : 1,
term
while term <= 4 do (array_complex_pole : 0.0, term : 1 + term), term : 1,
term
while term <= 2 do (array_1st_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= 2 do (array_last_rel_error : 0.0,
term
term : 1 + term), term : 1, while term <= 2 do (array_type_pole : 0.0,
term
term : 1 + term), term : 1, while term <=
2 do (array_type_real_pole : 0.0, term : 1 + term), term : 1,
term
while term <= 2 do (array_type_complex_pole : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_y : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_x : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp2_g : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp2 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_tmp3 : 0.0,
term
term : 1 + term), term : 1, while term <= max_terms do (array_m1 : 0.0,
term
term : 1 + term), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_higher_work : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
max_terms do (array_y_higher_work2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= max_terms do (array_y_set_initial : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <= 3 do (array_poles : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
3 do (array_given_rad_poles : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 2 do (term : 1,
while term <= 3 do (array_given_ord_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= 3 do (array_real_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= 3 do (array_complex_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= max_terms do (term : 1,
while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), array(array_y, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term),
term
array(array_x, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term),
term
array(array_tmp0, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term),
term
array(array_tmp1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term),
term
array(array_tmp2_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2_g : 0.0, term : 1 + term),
term
array(array_tmp2, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term),
term
array(array_tmp3, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp3 : 0.0, term : 1 + term),
term
array(array_m1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_m1 : 0.0, term : 1 + term),
term
array(array_const_1, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term),
term
array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term),
term
array_const_0D0 : 0.0, array(array_const_1D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_1D0 : 0.0, term : 1 + term),
term
array_const_1D0 : 1.0, array(array_m1, 1 + 1 + max_terms), term : 1,
1
while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
term
array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0,
1
while jjjf <= glob_max_terms do (array_fact_1 : 0,
iiif
array_fact_2 : 0, jjjf : 1 + jjjf), iiif : 1 + iiif),
iiif, jjjf
x_start : - 5.0, x_end : 5.0, array_y_init : exact_soln_y(x_start),
1 + 0
glob_look_poles : true, glob_max_iter : 1000000, glob_max_minutes : 10,
glob_desired_digits_correct : 10, glob_display_interval : 0.01,
glob_look_poles : true, glob_max_iter : 10000000, glob_max_minutes : 3,
glob_subiter_method : 3, glob_last_good_h : glob_h,
glob_max_terms : max_terms, glob_max_sec :
convfloat(3600.0) convfloat(glob_max_hours)
+ convfloat(60.0) convfloat(glob_max_minutes),
if glob_h > 0.0 then (glob_neg_h : false,
glob_display_interval : omniabs(glob_display_interval))
else (glob_neg_h : true, glob_display_interval :
- omniabs(glob_display_interval)), chk_data(), array_y_set_initial : true,
1, 1
array_y_set_initial : false, array_y_set_initial : false,
1, 2 1, 3
array_y_set_initial : false, array_y_set_initial : false,
1, 4 1, 5
array_y_set_initial : false, array_y_set_initial : false,
1, 6 1, 7
array_y_set_initial : false, array_y_set_initial : false,
1, 8 1, 9
array_y_set_initial : false, array_y_set_initial : false,
1, 10 1, 11
array_y_set_initial : false, array_y_set_initial : false,
1, 12 1, 13
array_y_set_initial : false, array_y_set_initial : false,
1, 14 1, 15
array_y_set_initial : false, array_y_set_initial : false,
1, 16 1, 17
array_y_set_initial : false, array_y_set_initial : false,
1, 18 1, 19
array_y_set_initial : false, array_y_set_initial : false,
1, 20 1, 21
array_y_set_initial : false, array_y_set_initial : false,
1, 22 1, 23
array_y_set_initial : false, array_y_set_initial : false,
1, 24 1, 25
array_y_set_initial : false, array_y_set_initial : false,
1, 26 1, 27
array_y_set_initial : false, array_y_set_initial : false,
1, 28 1, 29
array_y_set_initial : false, omniout_str(ALWAYS, "START of Optimize"),
1, 30
glob_check_sign : check_sign(x_start, x_end),
glob_h : check_sign(x_start, x_end), found_h : false, glob_h : glob_min_h,
if glob_max_h < glob_h then glob_h : glob_max_h,
if glob_display_interval < glob_h then glob_h : glob_display_interval,
best_h : glob_h, min_value : glob_large_float, est_answer : est_size_answer(),
opt_iter : 1, est_needed_step_err : estimated_needed_step_error(x_start,
x_end, glob_h, est_answer), omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, ""), estimated_step_error : 0.0,
while (opt_iter <= 100) and (not found_h) do (omniout_int(ALWAYS, "opt_iter",
32, opt_iter, 4, ""), array_x : x_start, array_x : glob_h,
1 2
glob_next_display : x_start, order_diff : 1, term_no : 1,
while term_no <= order_diff do (array_y :
term_no
array_y_init expt(glob_h, term_no - 1)
term_no
---------------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
array_y_init expt(glob_h, term_no - 1)
it
array_y_higher : ----------------------------------------,
r_order, term_no factorial_1(term_no - 1)
term_no : 1 + term_no), r_order : 1 + r_order), atomall(),
estimated_step_error : test_suggested_h(),
omniout_float(ALWAYS, "estimated_step_error", 32, estimated_step_error, 32,
""), if ((estimated_step_error > est_needed_step_err) and (opt_iter = 1))
or (glob_h >= glob_max_h) then (found_h : true, glob_h : glob_max_h,
best_h : glob_h) elseif (estimated_step_error > est_needed_step_err)
glob_h
and (not found_h) then (glob_h : ------, best_h : glob_h, found_h : true)
2.0
else (glob_h : glob_h 2.0, best_h : glob_h),
omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""), opt_iter : 1 + opt_iter),
if (not found_h) and (opt_iter = 1) then (omniout_str(ALWAYS,
"Beginning glob_h too large."), found_h : false),
if opt_iter > 100 then (glob_h : glob_max_h, found_h : false),
if glob_display_interval < glob_h then glob_h : glob_display_interval,
if glob_html_log then html_log_file : openw("entry.html"),
if found_h then (omniout_str(ALWAYS, "START of Soultion"), array_x : x_start,
1
array_x : glob_h, glob_next_display : x_start, order_diff : 1, term_no : 1,
2
while term_no <= order_diff do (array_y :
term_no
array_y_init expt(glob_h, term_no - 1)
term_no
---------------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
array_y_init expt(glob_h, term_no - 1)
it
array_y_higher : ----------------------------------------,
r_order, term_no 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 < glob_check_sign x_end)
1
and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec)) do (if reached_interval
() then (omniout_str(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop")),
glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 1 + glob_current_iter, atomall(),
display_alot(current_iter), if glob_look_poles then check_for_pole(),
if reached_interval() then glob_next_display :
glob_display_interval + glob_next_display, array_x : glob_h + array_x ,
1 1
array_x : glob_h, order_diff : 2, ord : 2, calc_term : 1,
2
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
2, iii
array_y_higher
2, iii
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 2, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, ord : 1, calc_term : 2,
factorial_1(calc_term - 1)
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 2, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, ord : 1, calc_term : 1,
factorial_1(calc_term - 1)
iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 1, iii : glob_max_terms,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, term_no : glob_max_terms,
factorial_1(calc_term - 1)
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1)),
ord, term_no
omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter
then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >=
convfloat(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 ) = 1.0 + sin(x);"),
omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "),
prog_report(x_start, x_end), if glob_html_log
then (logstart(html_log_file), logitem_str(html_log_file,
"2013-05-25T23:35:24-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "add_c_sin"),
logitem_str(html_log_file, "diff ( y , x , 1 ) = 1.0 + sin(x);"),
logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end),
logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h),
1
logitem_str(html_log_file, "16"), logitem_good_digits(html_log_file,
array_last_rel_error ), logitem_integer(html_log_file, glob_max_terms),
1
logitem_float(html_log_file, array_1st_rel_error ),
1
logitem_float(html_log_file, array_last_rel_error ),
1
logitem_integer(html_log_file, glob_iter),
logitem_time(html_log_file, convfloat(glob_clock_sec)),
if glob_percent_done < 100.0 then (logitem_time(html_log_file,
convfloat(glob_total_exp_sec)), 0) else (logitem_str(html_log_file, "Done"),
0), log_revs(html_log_file, " 189 | "), logitem_str(html_log_file, "add_c_sin diffeq.max"),
logitem_str(html_log_file,
"add_c_sin maxima results"),
logitem_str(html_log_file, "All Tests - All Languages"),
logend(html_log_file)), if glob_html_log then close(html_log_file)))
(%i58) main()
"##############ECHO OF PROBLEM#################"
"##############temp/add_c_sinpostode.ode#################"
"diff ( y , x , 1 ) = 1.0 + sin(x);"
"!"
"/* BEGIN FIRST INPUT BLOCK */"
"Digits:32,"
"max_terms:30,"
"!"
"/* END FIRST INPUT BLOCK */"
"/* BEGIN SECOND INPUT BLOCK */"
"x_start:-5.0,"
"x_end:5.0,"
"array_y_init[0 + 1] : exact_soln_y(x_start),"
"glob_look_poles:true,"
"glob_max_iter:1000000,"
"glob_max_minutes:10,"
"/* END SECOND INPUT BLOCK */"
"/* BEGIN OVERRIDE BLOCK */"
"glob_desired_digits_correct:10,"
"glob_display_interval:0.01,"
"glob_look_poles:true,"
"glob_max_iter:10000000,"
"glob_max_minutes:3,"
"glob_subiter_method:3,"
"/* END OVERRIDE BLOCK */"
"!"
"/* BEGIN USER DEF BLOCK */"
"exact_soln_y (x) := (block("
" (2.0 - cos(x) + x) "
"));"
"/* END USER DEF BLOCK */"
"#######END OF ECHO OF PROBLEM#################"
"START of Optimize"
min_size = 0.0 ""
min_size = 1. ""
glob_desired_digits_correct = 10. ""
desired_abs_gbl_error = 1.0000000000E-10 ""
range = 10. ""
estimated_steps = 10000000. ""
step_error = 1.00000000000000000E-17 ""
est_needed_step_err = 1.00000000000000000E-17 ""
opt_iter = 1
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 7.0336765106047860000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-184 ""
estimated_step_error = 7.0336765106047860000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-184 ""
best_h = 2.000000E-6 ""
opt_iter = 2
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 4.72022010820583760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-176 ""
estimated_step_error = 4.72022010820583760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-176 ""
best_h = 4.000000E-6 ""
opt_iter = 3
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 3.1676856963086547000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-168 ""
estimated_step_error = 3.1676856963086547000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-168 ""
best_h = 8.000000E-6 ""
opt_iter = 4
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 2.12579735356516100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-160 ""
estimated_step_error = 2.12579735356516100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-160 ""
best_h = 1.600000E-5 ""
opt_iter = 5
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.42659774045438200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-152 ""
estimated_step_error = 1.42659774045438200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-152 ""
best_h = 3.200000E-5 ""
opt_iter = 6
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 9.573725785294420000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-145 ""
estimated_step_error = 9.573725785294420000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-145 ""
best_h = 6.400000E-5 ""
opt_iter = 7
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 6.42480574631933800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-137 ""
estimated_step_error = 6.42480574631933800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-137 ""
best_h = 1.280000E-4 ""
opt_iter = 8
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 4.3115968758362755000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-129 ""
estimated_step_error = 4.3115968758362755000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-129 ""
best_h = 2.560000E-4 ""
opt_iter = 9
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 2.89344049786581200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-121 ""
estimated_step_error = 2.89344049786581200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-121 ""
best_h = 5.120000E-4 ""
opt_iter = 10
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.941723929160338600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-113 ""
estimated_step_error = 1.941723929160338600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-113 ""
best_h = 1.024000E-3 ""
opt_iter = 11
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.3030271028561238000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-105 ""
estimated_step_error = 1.3030271028561238000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-105 ""
best_h = 2.048000E-3 ""
opt_iter = 12
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 8.74390625797141200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-98 ""
estimated_step_error = 8.74390625797141200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-98 ""
best_h = 4.096000E-3 ""
opt_iter = 13
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 5.867183714885728000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-90 ""
estimated_step_error = 5.867183714885728000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-90 ""
best_h = 8.192000E-3 ""
opt_iter = 14
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 3.93639039375033500000000000000000000000000000000000000000000000000000000000000000000000000000000000E-82 ""
estimated_step_error = 3.93639039375033500000000000000000000000000000000000000000000000000000000000000000000000000000000000E-82 ""
best_h = 1.638400E-2 ""
opt_iter = 15
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 2.640311261156945700000000000000000000000000000000000000000000000000000000000000000000000000E-74 ""
estimated_step_error = 2.640311261156945700000000000000000000000000000000000000000000000000000000000000000000000000E-74 ""
best_h = 3.276800E-2 ""
opt_iter = 16
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.770063182010828000000000000000000000000000000000000000000000000000000000000000000E-66 ""
estimated_step_error = 1.770063182010828000000000000000000000000000000000000000000000000000000000000000000E-66 ""
best_h = 6.553600E-2 ""
opt_iter = 17
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.18542628423962570000000000000000000000000000000000000000000000000000000000E-58 ""
estimated_step_error = 1.18542628423962570000000000000000000000000000000000000000000000000000000000E-58 ""
best_h = 0.131072 ""
opt_iter = 18
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 7.922454595414767000000000000000000000000000000000000000000000000000E-51 ""
estimated_step_error = 7.922454595414767000000000000000000000000000000000000000000000000000E-51 ""
best_h = 0.1 ""
"START of Soultion"
" "
"TOP MAIN SOLVE Loop"
x[1] = -5. " "
y[1] (analytic) = -3.283662185463226 " "
y[1] (numeric) = -3.283662185463226 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.99 " "
y[1] (analytic) = -3.2640589195454277 " "
y[1] (numeric) = -3.2640589195454273 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.360542872528505400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.98 " "
y[1] (analytic) = -3.2444282479640565 " "
y[1] (numeric) = -3.244428247964055 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.10632483669876900000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.970000000000000 " "
y[1] (analytic) = -3.2247711337782445 " "
y[1] (numeric) = -3.224771133778243 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.1313556041084400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.960000000000000 " "
y[1] (analytic) = -3.2050885426913633 " "
y[1] (numeric) = -3.205088542691362 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.15672644235738300000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.950000000000001 " "
y[1] (analytic) = -3.185381442954453 " "
y[1] (numeric) = -3.1853814429544514 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.576590657075823000000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.940000000000001 " "
y[1] (analytic) = -3.165650805269398 " "
y[1] (numeric) = -3.165650805269396 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 7.01418503125568900000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.9300000000000015 " "
y[1] (analytic) = -3.1458976026918575 " "
y[1] (numeric) = -3.145897602691855 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 8.46987281728561900000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.920000000000002 " "
y[1] (analytic) = -3.126122810533962 " "
y[1] (numeric) = -3.1261228105339587 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 9.94402541856461900000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.910000000000002 " "
y[1] (analytic) = -3.1063274062667814 " "
y[1] (numeric) = -3.106327406266778 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.14370226127264260000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.900000000000002 " "
y[1] (analytic) = -3.0865123694225796 " "
y[1] (numeric) = -3.086512369422576 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.15104469173572020000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.890000000000002 " "
y[1] (analytic) = -3.066678681496862 " "
y[1] (numeric) = -3.066678681496858 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.30330018360440140000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.880000000000003 " "
y[1] (analytic) = -3.046827325850227 " "
y[1] (numeric) = -3.0468273258502223 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.60330100327806370000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.870000000000003 " "
y[1] (analytic) = -3.026959287610029 " "
y[1] (numeric) = -3.026959287610024 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.61382458242696840000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.860000000000003 " "
y[1] (analytic) = -3.0070755535718687 " "
y[1] (numeric) = -3.0070755535718634 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.7721771279975881000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.850000000000003 " "
y[1] (analytic) = -2.9871771121009143 " "
y[1] (numeric) = -2.987177112100908 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 2.08131245807792700000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.840000000000003 " "
y[1] (analytic) = -2.9672649530330633 " "
y[1] (numeric) = -2.9672649530330566 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 2.24494214476596950000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.830000000000004 " "
y[1] (analytic) = -2.9473400675759627 " "
y[1] (numeric) = -2.9473400675759556 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.41079318798962160000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.820000000000004 " "
y[1] (analytic) = -2.927403448209888 " "
y[1] (numeric) = -2.9274034482098803 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.57891223434460500000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.810000000000004 " "
y[1] (analytic) = -2.907456088588494 " "
y[1] (numeric) = -2.9074560885884866 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.596605533298420000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.800000000000004 " "
y[1] (analytic) = -2.887498983439455 " "
y[1] (numeric) = -2.887498983439447 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 2.76834929575611950000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.7900000000000045 " "
y[1] (analytic) = -2.867533128464988 " "
y[1] (numeric) = -2.867533128464979 " "
absolute error = 8.881784197001252000000000000000E-15 " "
relative error = 3.0973606229113520000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.780000000000005 " "
y[1] (analytic) = -2.8475595202422843 " "
y[1] (numeric) = -2.8475595202422754 " "
absolute error = 8.881784197001252000000000000000E-15 " "
relative error = 3.1190864085065890000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.770000000000005 " "
y[1] (analytic) = -2.827579156123856 " "
y[1] (numeric) = -2.827579156123847 " "
absolute error = 9.325873406851315000000000000000E-15 " "
relative error = 3.2981829656841670000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.760000000000005 " "
y[1] (analytic) = -2.807593034137798 " "
y[1] (numeric) = -2.8075930341377884 " "
absolute error = 9.769962616701378000000000000000E-15 " "
relative error = 3.4798357518014350000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.750000000000005 " "
y[1] (analytic) = -2.7876021528879873 " "
y[1] (numeric) = -2.787602152887977 " "
absolute error = 1.02140518265514400000000000000E-14 " "
relative error = 3.66409956168586240000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.7400000000000055 " "
y[1] (analytic) = -2.7676075114542225 " "
y[1] (numeric) = -2.767607511454212 " "
absolute error = 1.065814103640150300000000000000E-14 " "
relative error = 3.851030535323720000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.730000000000006 " "
y[1] (analytic) = -2.747610109292318 " "
y[1] (numeric) = -2.7476101092923075 " "
absolute error = 1.065814103640150300000000000000E-14 " "
relative error = 3.8790587501319980000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.720000000000006 " "
y[1] (analytic) = -2.7276109461341598 " "
y[1] (numeric) = -2.7276109461341487 " "
absolute error = 1.110223024625156500000000000000E-14 " "
relative error = 4.0703129828639034000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.710000000000006 " "
y[1] (analytic) = -2.7076110218877307 " "
y[1] (numeric) = -2.707611021887719 " "
absolute error = 1.154631945610162800000000000000E-14 " "
relative error = 4.26439372670731730000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.303650873603446000E-3 " "
Order of pole (three term test) = -0.8929951281963252 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.700000000000006 " "
y[1] (analytic) = -2.687611336537122 " "
y[1] (numeric) = -2.68761133653711 " "
absolute error = 1.19904086659516900000000000000E-14 " "
relative error = 4.46136258727083850000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.194529189666616700E-2 " "
Order of pole (three term test) = -0.8965678563788775 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.690000000000007 " "
y[1] (analytic) = -2.6676128900425358 " "
y[1] (numeric) = -2.6676128900425233 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 4.6612827229229210000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.1582145121887197E-2 " "
Order of pole (three term test) = -0.904974401361869 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.680000000000007 " "
y[1] (analytic) = -2.6476166822402893 " "
y[1] (numeric) = -2.6476166822402765 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 4.8642188924246240000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.121034801015891700E-2 " "
Order of pole (three term test) = -0.9182113867938525 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.670000000000007 " "
y[1] (analytic) = -2.6276237127428326 " "
y[1] (numeric) = -2.6276237127428197 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 4.9012295874771820000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.082604151086477500E-2 " "
Order of pole (three term test) = -0.9362734962754643 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.660000000000007 " "
y[1] (analytic) = -2.6076349808387884 " "
y[1] (numeric) = -2.607634980838775 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 5.1091032270231410000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.042537161810433000E-2 " "
Order of pole (three term test) = -0.959153475520847 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.6500000000000075 " "
y[1] (analytic) = -2.587651485393023 " "
y[1] (numeric) = -2.587651485393009 " "
absolute error = 1.376676550535194000000000000000E-14 " "
relative error = 5.3201776139730000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.000449092483453000E-2 " "
Order of pole (three term test) = -0.9868421353068753 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.640000000000008 " "
y[1] (analytic) = -2.567674224746761 " "
y[1] (numeric) = -2.567674224746747 " "
absolute error = 1.421085471520200400000000000000E-14 " "
relative error = 5.5345240366711870000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.95595601742855500E-2 " "
Order of pole (three term test) = -1.0193283552089276 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.630000000000008 " "
y[1] (analytic) = -2.5477041966177536 " "
y[1] (numeric) = -2.5477041966177385 " "
absolute error = 1.50990331349021300000000000000E-14 " "
relative error = 5.9265252045143610000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.90867498080097200E-2 " "
Order of pole (three term test) = -1.0565990881216103 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.620000000000008 " "
y[1] (analytic) = -2.5277423980005045 " "
y[1] (numeric) = -2.527742398000489 " "
absolute error = 1.55431223447521920000000000000E-14 " "
relative error = 6.1490135850263530000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.85822415099253300E-2 " "
Order of pole (three term test) = -1.098639365562508 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.610000000000008 " "
y[1] (analytic) = -2.507789825066574 " "
y[1] (numeric) = -2.5077898250665585 " "
absolute error = 1.55431223447521920000000000000E-14 " "
relative error = 6.1979366011422310000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.80422297457180100E-2 " "
Order of pole (three term test) = -1.1454323037567116 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.6000000000000085 " "
y[1] (analytic) = -2.4878474730649627 " "
y[1] (numeric) = -2.4878474730649462 " "
absolute error = 1.643130076445231700000000000000E-14 " "
relative error = 6.6046254613066710000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10746292329696314 " "
Order of pole (three term test) = -1.1969591104995168 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.590000000000009 " "
y[1] (analytic) = -2.467916336222584 " "
y[1] (numeric) = -2.4679163362225673 " "
absolute error = 1.68753899743023800000000000000E-14 " "
relative error = 6.8379100728074150000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11684054678933864 " "
Order of pole (three term test) = -1.2531990927943877 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.580000000000009 " "
y[1] (analytic) = -2.4479974076448476 " "
y[1] (numeric) = -2.4479974076448303 " "
absolute error = 1.731947918415244200000000000000E-14 " "
relative error = 7.0749581392796680000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12617134221429607 " "
Order of pole (three term test) = -1.3141296652629304 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.570000000000010 " "
y[1] (analytic) = -2.4280916792163447 " "
y[1] (numeric) = -2.428091679216327 " "
absolute error = 1.776356839400250500000000000000E-14 " "
relative error = 7.3158557174972960000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13545157044356418 " "
Order of pole (three term test) = -1.3797263593232933 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.560000000000010 " "
y[1] (analytic) = -2.4082001415016636 " "
y[1] (numeric) = -2.4082001415016454 " "
absolute error = 1.820765760385256700000000000000E-14 " "
relative error = 7.5606911942538770000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14467751273585852 " "
Order of pole (three term test) = -1.4499628331330896 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.55000000000001 " "
y[1] (analytic) = -2.388323783646333 " "
y[1] (numeric) = -2.3883237836463143 " "
absolute error = 1.86517468137026300000000000000E-14 " "
relative error = 7.8095553632290140000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15384547223518152 " "
Order of pole (three term test) = -1.5248108822926363 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.54000000000001 " "
y[1] (analytic) = -2.3684635932779075 " "
y[1] (numeric) = -2.368463593277889 " "
absolute error = 1.86517468137026300000000000000E-14 " "
relative error = 7.8750405396305780000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16295177546008996 " "
Order of pole (three term test) = -1.6042404513039235 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.53000000000001 " "
y[1] (analytic) = -2.3486205564072082 " "
y[1] (numeric) = -2.348620556407189 " "
absolute error = 1.909583602355269200000000000000E-14 " "
relative error = 8.1306603450514210000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17199277378332237 " "
Order of pole (three term test) = -1.6882196457804752 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.52000000000001 " "
y[1] (analytic) = -2.328795657329719 " "
y[1] (numeric) = -2.3287956573296995 " "
absolute error = 1.953992523340275500000000000000E-14 " "
relative error = 8.3905709682608810000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1809648449011752 " "
Order of pole (three term test) = -1.776714745402902 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.5100000000000104 " "
y[1] (analytic) = -2.3089898785271603 " "
y[1] (numeric) = -2.3089898785271403 " "
absolute error = 1.998401444325281800000000000000E-14 " "
relative error = 8.6548731240000320000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18986439429202567 " "
Order of pole (three term test) = -1.869690217614651 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.500000000000010 " "
y[1] (analytic) = -2.2892042005692415 " "
y[1] (numeric) = -2.2892042005692206 " "
absolute error = 2.087219286295294300000000000000E-14 " "
relative error = 9.1176631852076770000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19868785666340055 " "
Order of pole (three term test) = -1.9671087320521294 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.490000000000010 " "
y[1] (analytic) = -2.269439602015603 " "
y[1] (numeric) = -2.2694396020155816 " "
absolute error = 2.131628207280300600000000000000E-14 " "
relative error = 9.3927514324994370000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20743169738699896 " "
Order of pole (three term test) = -2.0689311757030895 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.480000000000011 " "
y[1] (analytic) = -2.249697059317963 " "
y[1] (numeric) = -2.249697059317941 " "
absolute error = 2.176037128265306800000000000000E-14 " "
relative error = 9.6725784445173810000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2160924139210802 " "
Order of pole (three term test) = -2.175116668786854 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.470000000000011 " "
y[1] (analytic) = -2.2299775467224725 " "
y[1] (numeric) = -2.2299775467224503 " "
absolute error = 2.22044604925031300000000000000E-14 " "
relative error = 9.9572574285056450000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22466653721963395 " "
Order of pole (three term test) = -2.285622581349635 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.4600000000000115 " "
y[1] (analytic) = -2.210282036172292 " "
y[1] (numeric) = -2.2102820361722695 " "
absolute error = 2.264854970235319300000000000000E-14 " "
relative error = 1.02469048436802000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2331506331277543 " "
Order of pole (three term test) = -2.40040455056791 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.450000000000012 " "
y[1] (analytic) = -2.190611497210397 " "
y[1] (numeric) = -2.190611497210374 " "
absolute error = 2.309263891220325600000000000000E-14 " "
relative error = 1.0541640515267196000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2415413037626515 " "
Order of pole (three term test) = -2.5194164987525753 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.440000000000012 " "
y[1] (analytic) = -2.170966896882624 " "
y[1] (numeric) = -2.1709668968826006 " "
absolute error = 2.35367281220533200000000000000E-14 " "
relative error = 1.0841587753295834000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2498351888797322 " "
Order of pole (three term test) = -2.6426106520462023 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.430000000000012 " "
y[1] (analytic) = -2.1513491996409693 " "
y[1] (numeric) = -2.1513491996409457 " "
absolute error = 2.35367281220533200000000000000E-14 " "
relative error = 1.094044989348139100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2580289672231927 " "
Order of pole (three term test) = -2.769937559805505 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.420000000000012 " "
y[1] (analytic) = -2.1317593672471427 " "
y[1] (numeric) = -2.1317593672471187 " "
absolute error = 2.39808173319033800000000000000E-14 " "
relative error = 1.1249307825428308000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2661193578605766 " "
Order of pole (three term test) = -2.901346114660872 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.410000000000013 " "
y[1] (analytic) = -2.1121983586763915 " "
y[1] (numeric) = -2.112198358676367 " "
absolute error = 2.442490654175344400000000000000E-14 " "
relative error = 1.1563737108980288000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.27410312150074745 " "
Order of pole (three term test) = -3.0367835732443824 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.400000000000013 " "
y[1] (analytic) = -2.092667130021605 " "
y[1] (numeric) = -2.0926671300215807 " "
absolute error = 2.442490654175344400000000000000E-14 " "
relative error = 1.1671663491699837000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2819770617947493 " "
Order of pole (three term test) = -3.17619557757772 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.390000000000013 " "
y[1] (analytic) = -2.0731666343977073 " "
y[1] (numeric) = -2.073166634397682 " "
absolute error = 2.53130849614535700000000000000E-14 " "
relative error = 1.2209865112365886000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2897380266190165 " "
Order of pole (three term test) = -3.3195261771107853 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.380000000000013 " "
y[1] (analytic) = -2.053697821846342 " "
y[1] (numeric) = -2.053697821846317 " "
absolute error = 2.53130849614535700000000000000E-14 " "
relative error = 1.2325613190112006000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2973829093404183 " "
Order of pole (three term test) = -3.466717851401818 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.370000000000013 " "
y[1] (analytic) = -2.034261639240875 " "
y[1] (numeric) = -2.0342616392408495 " "
absolute error = 2.575717417130363000000000000000E-14 " "
relative error = 1.2661682093614776000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.30490865006262513 " "
Order of pole (three term test) = -3.6177115334294903 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.360000000000014 " "
y[1] (analytic) = -2.014859030191703 " "
y[1] (numeric) = -2.0148590301916767 " "
absolute error = 2.620126338115369400000000000000E-14 " "
relative error = 1.3004018141487939000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3123122368532889 " "
Order of pole (three term test) = -3.7724466335270685 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.350000000000014 " "
y[1] (analytic) = -1.9954909349518952 " "
y[1] (numeric) = -1.9954909349518684 " "
absolute error = 2.686739719592879000000000000000E-14 " "
relative error = 1.3464053745038170000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3195907069515451 " "
Order of pole (three term test) = -3.9308610639286745 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.340000000000014 " "
y[1] (analytic) = -1.976158290323169 " "
y[1] (numeric) = -1.9761582903231416 " "
absolute error = 2.73114864057788500000000000000E-14 " "
relative error = 1.3820495321410967000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32674114795534537 " "
Order of pole (three term test) = -4.0928912639172434 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.330000000000014 " "
y[1] (analytic) = -1.9568620295622097 " "
y[1] (numeric) = -1.9568620295621821 " "
absolute error = 2.753353101070388000000000000000E-14 " "
relative error = 1.4070246442905177000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33376069898814514 " "
Order of pole (three term test) = -4.258472225563676 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.3200000000000145 " "
y[1] (analytic) = -1.9376030822873473 " "
y[1] (numeric) = -1.9376030822873191 " "
absolute error = 2.819966482547897600000000000000E-14 " "
relative error = 1.4553891394613788000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.340646551844477 " "
Order of pole (three term test) = -4.427537520046365 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.310000000000015 " "
y[1] (analytic) = -1.918382374385593 " "
y[1] (numeric) = -1.9183823743855644 " "
absolute error = 2.86437540353290400000000000000E-14 " "
relative error = 1.4931201629968516000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.34739595211394586 " "
Order of pole (three term test) = -4.600019324540037 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.300000000000015 " "
y[1] (analytic) = -1.8992008279200534 " "
y[1] (numeric) = -1.899200827920024 " "
absolute error = 2.93098878501041300000000000000E-14 " "
relative error = 1.5432748037606653000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.354006200283199 " "
Order of pole (three term test) = -4.775848449662662 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.290000000000015 " "
y[1] (analytic) = -1.8800593610377234 " "
y[1] (numeric) = -1.8800593610376937 " "
absolute error = 2.975397705995419500000000000000E-14 " "
relative error = 1.582608383361422000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3604746528154307 " "
Order of pole (three term test) = -4.954954367468986 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.280000000000015 " "
y[1] (analytic) = -1.8609588878776737 " "
y[1] (numeric) = -1.8609588878776435 " "
absolute error = 3.01980662698042600000000000000E-14 " "
relative error = 1.622715389711998000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3667987232069831 " "
Order of pole (three term test) = -5.13726523997885 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.270000000000016 " "
y[1] (analytic) = -1.8419003184796363 " "
y[1] (numeric) = -1.8419003184796057 " "
absolute error = 3.06421554796543200000000000000E-14 " "
relative error = 1.6636163842431678000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3729758830206333 " "
Order of pole (three term test) = -5.322707948228567 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.260000000000016 " "
y[1] (analytic) = -1.8228845586930023 " "
y[1] (numeric) = -1.8228845586929714 " "
absolute error = 3.08642000845793500000000000000E-14 " "
relative error = 1.6931516555666480000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37900366289514315 " "
Order of pole (three term test) = -5.511208121832998 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.250000000000016 " "
y[1] (analytic) = -1.8039125100862377 " "
y[1] (numeric) = -1.8039125100862061 " "
absolute error = 3.153033389935444600000000000000E-14 " "
relative error = 1.747885982444187800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3848796535306818 " "
Order of pole (three term test) = -5.702690169046243 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.240000000000016 " "
y[1] (analytic) = -1.7849850698567256 " "
y[1] (numeric) = -1.784985069856694 " "
absolute error = 3.153033389935444600000000000000E-14 " "
relative error = 1.7664200352042872000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39060150664972193 " "
Order of pole (three term test) = -5.8970773073081855 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.230000000000016 " "
y[1] (analytic) = -1.7661031307410506 " "
y[1] (numeric) = -1.7661031307410184 " "
absolute error = 3.21964677141295400000000000000E-14 " "
relative error = 1.8230230813655834000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3961669359330357 " "
Order of pole (three term test) = -6.0942915942643445 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.220000000000017 " "
y[1] (analytic) = -1.7472675809257217 " "
y[1] (numeric) = -1.7472675809256892 " "
absolute error = 3.24185123190545700000000000000E-14 " "
relative error = 1.855383381054829000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.40157371793041957 " "
Order of pole (three term test) = -6.2942539592461 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.210000000000017 " "
y[1] (analytic) = -1.7284793039583577 " "
y[1] (numeric) = -1.728479303958325 " "
absolute error = 3.2640556923979600000000000000E-14 " "
relative error = 1.8883973241235855000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4068196929457869 " "
Order of pole (three term test) = -6.496884235198087 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.200000000000017 " "
y[1] (analytic) = -1.7097391786593326 " "
y[1] (numeric) = -1.7097391786592993 " "
absolute error = 3.330669073875469600000000000000E-14 " "
relative error = 1.948056823782424000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4119027658962868 " "
Order of pole (three term test) = -6.7021011910396995 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.190000000000017 " "
y[1] (analytic) = -1.6910480790338918 " "
y[1] (numeric) = -1.691048079033858 " "
absolute error = 3.37507799486047600000000000000E-14 " "
relative error = 1.9958498145059736000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4168209071451087 " "
Order of pole (three term test) = -6.909822564447165 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.1800000000000175 " "
y[1] (analytic) = -1.6724068741847553 " "
y[1] (numeric) = -1.6724068741847216 " "
absolute error = 3.37507799486047600000000000000E-14 " "
relative error = 2.0180962222519674000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42157215330764986 " "
Order of pole (three term test) = -7.11996509504263 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.170000000000018 " "
y[1] (analytic) = -1.6538164282252081 " "
y[1] (numeric) = -1.6538164282251737 " "
absolute error = 3.44169137633798500000000000000E-14 " "
relative error = 2.0810600968763104000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4261546080307315 " "
Order of pole (three term test) = -7.332444557976546 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.160000000000018 " "
y[1] (analytic) = -1.635277600192687 " "
y[1] (numeric) = -1.635277600192652 " "
absolute error = 3.508304757815494700000000000000E-14 " "
relative error = 2.1453878885163635000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4305664427445629 " "
Order of pole (three term test) = -7.547175797889413 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.150000000000018 " "
y[1] (analytic) = -1.6167912439628789 " "
y[1] (numeric) = -1.6167912439628436 " "
absolute error = 3.53050921830799800000000000000E-14 " "
relative error = 2.183651866925287200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43480589738716313 " "
Order of pole (three term test) = -7.764072763239048 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.140000000000018 " "
y[1] (analytic) = -1.5983582081643353 " "
y[1] (numeric) = -1.5983582081642997 " "
absolute error = 3.55271367880050100000000000000E-14 " "
relative error = 2.222726833480388700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4388712811009602 " "
Order of pole (three term test) = -7.983048540978922 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.1300000000000185 " "
y[1] (analytic) = -1.5799793360936087 " "
y[1] (numeric) = -1.579979336093573 " "
absolute error = 3.57491813929300400000000000000E-14 " "
relative error = 2.262636008982083200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44276097290130234 " "
Order of pole (three term test) = -8.204015391573519 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.120000000000019 " "
y[1] (analytic) = -1.561655465630924 " "
y[1] (numeric) = -1.5616554656308879 " "
absolute error = 3.619327060278010300000000000000E-14 " "
relative error = 2.3176219978942453000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44647342231662895 " "
Order of pole (three term test) = -8.426884784336302 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.110000000000019 " "
y[1] (analytic) = -1.5433874291563905 " "
y[1] (numeric) = -1.543387429156354 " "
absolute error = 3.641531520770513500000000000000E-14 " "
relative error = 2.3594409621186044000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4500071500000515 " "
Order of pole (three term test) = -8.651567433075558 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.100000000000020 " "
y[1] (analytic) = -1.5251760534667662 " "
y[1] (numeric) = -1.525176053466729 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 2.4458483689547456000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45336074831212125 " "
Order of pole (three term test) = -8.87797333203372 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.090000000000020 " "
y[1] (analytic) = -1.5070221596927764 " "
y[1] (numeric) = -1.507022159692739 " "
absolute error = 3.75255382323302900000000000000E-14 " "
relative error = 2.4900455504901334000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4565328818745608 " "
Order of pole (three term test) = -9.106011792105365 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.08000000000002 " "
y[1] (analytic) = -1.488926563217004 " "
y[1] (numeric) = -1.4889265632169661 " "
absolute error = 3.77475828372553200000000000000E-14 " "
relative error = 2.535221264082841000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 13.92282195451615 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.45952228809475276 " "
Order of pole (three term test) = -9.335591477318882 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.07000000000002 " "
y[1] (analytic) = -1.4708900735923507 " "
y[1] (numeric) = -1.4708900735923123 " "
absolute error = 3.841371665203041600000000000000E-14 " "
relative error = 2.6115967020032100000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.21701119011323 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.46232777766079436 " "
Order of pole (three term test) = -9.566620441567231 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.06000000000002 " "
y[1] (analytic) = -1.452913494461081 " "
y[1] (numeric) = -1.4529134944610425 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 2.6591921270086580000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.51563638907664 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.46494823500693194 " "
Order of pole (three term test) = -9.799006165572411 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.05000000000002 " "
y[1] (analytic) = -1.434997623474462 " "
y[1] (numeric) = -1.4349976234744228 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 2.7233390374671235000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.818859749125673 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.46738261874920906 " "
Order of pole (three term test) = -10.03265559406883 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.0400000000000205 " "
y[1] (analytic) = -1.4171432522129948 " "
y[1] (numeric) = -1.4171432522129555 " "
absolute error = 3.93018950717305400000000000000E-14 " "
relative error = 2.7733184355468055000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.126850370329162 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.46962996209117 " "
Order of pole (three term test) = -10.267475173190347 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.030000000000020 " "
y[1] (analytic) = -1.399351166107261 " "
y[1] (numeric) = -1.3993511661072213 " "
absolute error = 3.974598428158060400000000000000E-14 " "
relative error = 2.840315229246327000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.439784650042034 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4716893731994704 " "
Order of pole (three term test) = -10.503370888045577 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.020000000000021 " "
y[1] (analytic) = -1.381622144359378 " "
y[1] (numeric) = -1.3816221443593375 " "
absolute error = 4.0412118096355700000000000000E-14 " "
relative error = 2.924976142090842000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.757846704638029 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.47356003554926984 " "
Order of pole (three term test) = -10.740248300466593 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.010000000000021 " "
y[1] (analytic) = -1.3639569598650785 " "
y[1] (numeric) = -1.363956959865038 " "
absolute error = 4.0412118096355700000000000000E-14 " "
relative error = 2.9628587474162850000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.081228820203723 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4752412082392784 " "
Order of pole (three term test) = -10.978012586915233 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.000000000000021 " "
y[1] (analytic) = -1.3463563791364255 " "
y[1] (numeric) = -1.3463563791363846 " "
absolute error = 4.08562073062057600000000000000E-14 " "
relative error = 3.0345759814657386000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.410131934561008 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4767322262763559 " "
Order of pole (three term test) = -11.216568576532016 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9900000000000215 " "
y[1] (analytic) = -1.3288211622251573 " "
y[1] (numeric) = -1.3288211622251163 " "
absolute error = 4.10782519111307900000000000000E-14 " "
relative error = 3.0913303519597646000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.74476615320802 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.47803250082956456 " "
Order of pole (three term test) = -11.455820789311966 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9800000000000217 " "
y[1] (analytic) = -1.3113520626466868 " "
y[1] (numeric) = -1.3113520626466448 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 3.2002413025629867000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.08535130201549 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.47914151945359523 " "
Order of pole (three term test) = -11.695673474392155 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.970000000000022 " "
y[1] (analytic) = -1.293949827304746 " "
y[1] (numeric) = -1.293949827304704 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 3.2432811106938810000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.432117519789433 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.48005884628149686 " "
Order of pole (three term test) = -11.936030648435317 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.960000000000022 " "
y[1] (analytic) = -1.276615196416702 " "
y[1] (numeric) = -1.2766151964166597 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 3.3221067444381020000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.785305894114554 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4807841221866497 " "
Order of pole (three term test) = -12.176796134094095 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9500000000000224 " "
y[1] (analytic) = -1.2593489034395309 " "
y[1] (numeric) = -1.259348903439488 " "
absolute error = 4.28546087505310400000000000000E-14 " "
relative error = 3.402917859656417000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.145169144231236 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.48131706491394033 " "
Order of pole (three term test) = -12.417873598540512 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9400000000000226 " "
y[1] (analytic) = -1.242151674996475 " "
y[1] (numeric) = -1.2421516749964319 " "
absolute error = 4.307665335545607400000000000000E-14 " "
relative error = 3.4679060715816623000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.511972355073897 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4816574691801037 " "
Order of pole (three term test) = -12.659166592044993 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.930000000000023 " "
y[1] (analytic) = -1.2250242308043813 " "
y[1] (numeric) = -1.2250242308043378 " "
absolute error = 4.352074256530613600000000000000E-14 " "
relative error = 3.5526434066311770000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.885993767018004 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4818052067432128 " "
Order of pole (three term test) = -12.900578586589523 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.920000000000023 " "
y[1] (analytic) = -1.2079672836017292 " "
y[1] (numeric) = -1.2079672836016853 " "
absolute error = 4.3964831775156200000000000000E-14 " "
relative error = 3.639571399985991000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 19.267525626349904 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.48176022644130845 " "
Order of pole (three term test) = -13.142013014499529 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9100000000000232 " "
y[1] (analytic) = -1.1909815390773582 " "
y[1] (numeric) = -1.190981539077314 " "
absolute error = 4.41868763800812300000000000000E-14 " "
relative error = 3.710122695462801400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 19.331658670478543 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.48152255420017537 " "
Order of pole (three term test) = -13.383373307078887 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9000000000000234 " "
y[1] (analytic) = -1.1740676957998994 " "
y[1] (numeric) = -1.1740676957998548 " "
absolute error = 4.46309655899312930000000000000E-14 " "
relative error = 3.801396269533159300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.948492998718734 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.48109229301027845 " "
Order of pole (three term test) = -13.624562933232603 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8900000000000237 " "
y[1] (analytic) = -1.157226445147919 " "
y[1] (numeric) = -1.1572264451478742 " "
absolute error = 4.485301019485632400000000000000E-14 " "
relative error = 3.875906084147871000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.572519835163835 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.48046962287289174 " "
Order of pole (three term test) = -13.865485438061622 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.880000000000024 " "
y[1] (analytic) = -1.1404584712407813 " "
y[1] (numeric) = -1.1404584712407362 " "
absolute error = 4.507505479978135600000000000000E-14 " "
relative error = 3.952362662600172000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.203465421959013 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4796548007154618 " "
Order of pole (three term test) = -14.106044481414747 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.870000000000024 " "
y[1] (analytic) = -1.1237644508702371 " "
y[1] (numeric) = -1.1237644508701916 " "
absolute error = 4.55191440096314200000000000000E-14 " "
relative error = 4.050594764265914000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.841068703371587 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4786481602762561 " "
Order of pole (three term test) = -14.346143876381737 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8600000000000243 " "
y[1] (analytic) = -1.107145053432745 " "
y[1] (numeric) = -1.107145053432699 " "
absolute error = 4.59632332194814800000000000000E-14 " "
relative error = 4.151509603639626500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.485080575109272 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4774501119583682 " "
Order of pole (three term test) = -14.585687627712787 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8500000000000245 " "
y[1] (analytic) = -1.0906009408625326 " "
y[1] (numeric) = -1.0906009408624862 " "
absolute error = 4.640732242933154300000000000000E-14 " "
relative error = 4.255206527937616000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.13526318571295 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.47606114265315347 " "
Order of pole (three term test) = -14.824579970148616 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8400000000000247 " "
y[1] (analytic) = -1.0741327675654033 " "
y[1] (numeric) = -1.0741327675653567 " "
absolute error = 4.662936703425657500000000000000E-14 " "
relative error = 4.3411176385527533000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.79138928583988 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4744818155331878 " "
Order of pole (three term test) = -15.062725406646408 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.830000000000025 " "
y[1] (analytic) = -1.0577411803532968 " "
y[1] (numeric) = -1.0577411803532502 " "
absolute error = 4.662936703425657500000000000000E-14 " "
relative error = 4.408391003428823000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.453241621634525 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4727127698148511 " "
Order of pole (three term test) = -15.300028746486118 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.820000000000025 " "
y[1] (analytic) = -1.0414268183796085 " "
y[1] (numeric) = -1.0414268183795612 " "
absolute error = 4.72955008490316700000000000000E-14 " "
relative error = 4.541413761806168000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.120612368723194 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4707547204906511 " "
Order of pole (three term test) = -15.536395143242181 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8100000000000254 " "
y[1] (analytic) = -1.025190313075273 " "
y[1] (numeric) = -1.0251903130752256 " "
absolute error = 4.7517545453956700000000000000E-14 " "
relative error = 4.6349975070889887000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.793302603677054 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4686084580314125 " "
Order of pole (three term test) = -15.771730132605562 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8000000000000256 " "
y[1] (analytic) = -1.0090322880856246 " "
y[1] (numeric) = -1.0090322880855764 " "
absolute error = 4.818367926873179400000000000000E-14 " "
relative error = 4.775236614097627000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.471121810063336 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.46627484805846886 " "
Order of pole (three term test) = -16.00593967004126 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.790000000000026 " "
y[1] (analytic) = -0.9929533592080295 " "
y[1] (numeric) = -0.9929533592079812 " "
absolute error = 4.82947015711943100000000000000E-14 " "
relative error = 4.863743208413507000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.15388741645508 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4637548309860105 " "
Order of pole (three term test) = -16.238930168266293 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.780000000000026 " "
y[1] (analytic) = -0.9769541343303105 " "
y[1] (numeric) = -0.9769541343302619 " "
absolute error = 4.862776847858185600000000000000E-14 " "
relative error = 4.977487352762529000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.841424363994655 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.46104942163374263 " "
Order of pole (three term test) = -16.470608534533607 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.770000000000026 " "
y[1] (analytic) = -0.9610352133699562 " "
y[1] (numeric) = -0.9610352133699069 " "
absolute error = 4.92939022933569500000000000000E-14 " "
relative error = 5.129250375800847000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.533564701310635 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.45815970881003726 " "
Order of pole (three term test) = -16.700882207706897 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7600000000000264 " "
y[1] (analytic) = -0.9451971882141295 " "
y[1] (numeric) = -0.9451971882140798 " "
absolute error = 4.9626969200744500000000000000E-14 " "
relative error = 5.250435551391185000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.455086854865749 " "
Order of pole (three term test) = -16.929659195112254 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7500000000000266 " "
y[1] (analytic) = -0.9294406426604809 " "
y[1] (numeric) = -0.9294406426604312 " "
absolute error = 4.9626969200744500000000000000E-14 " "
relative error = 5.3394447071616750000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45183209521890555 " "
Order of pole (three term test) = -17.156848109151607 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.740000000000027 " "
y[1] (analytic) = -0.9137661523587699 " "
y[1] (numeric) = -0.9137661523587195 " "
absolute error = 5.04041253179821100000000000000E-14 " "
relative error = 5.51608583748373000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4483967378504661 " "
Order of pole (three term test) = -17.382358203664072 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.730000000000027 " "
y[1] (analytic) = -0.8981742847532965 " "
y[1] (numeric) = -0.8981742847532459 " "
absolute error = 5.06261699229071400000000000000E-14 " "
relative error = 5.63656417048421100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.444782162771375 " "
Order of pole (three term test) = -17.606099410020775 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7200000000000273 " "
y[1] (analytic) = -0.8826655990261623 " "
y[1] (numeric) = -0.8826655990261112 " "
absolute error = 5.1070259132757200000000000000E-14 " "
relative error = 5.785912489294088000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4409898214611331 " "
Order of pole (three term test) = -17.827982372939037 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7100000000000275 " "
y[1] (analytic) = -0.8672406460413487 " "
y[1] (numeric) = -0.8672406460412976 " "
absolute error = 5.1070259132757200000000000000E-14 " "
relative error = 5.888822135571613000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4370212362781313 " "
Order of pole (three term test) = -18.047918486001915 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7000000000000277 " "
y[1] (analytic) = -0.8518999682896342 " "
y[1] (numeric) = -0.8518999682895827 " "
absolute error = 5.151434834260726000000000000000E-14 " "
relative error = 6.046994982994658000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43287799984199227 " "
Order of pole (three term test) = -18.265819926869362 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.690000000000028 " "
y[1] (analytic) = -0.8366440998343432 " "
y[1] (numeric) = -0.8366440998342912 " "
absolute error = 5.195843755245733000000000000000E-14 " "
relative error = 6.210339326213521000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42856177438818455 " "
Order of pole (three term test) = -18.48159969216722 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.680000000000028 " "
y[1] (analytic) = -0.8214735662579411 " "
y[1] (numeric) = -0.8214735662578887 " "
absolute error = 5.24025267623073900000000000000E-14 " "
relative error = 6.379088617667473000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4240742910951792 " "
Order of pole (three term test) = -18.69517163204035 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6700000000000284 " "
y[1] (analytic) = -0.8063888846094764 " "
y[1] (numeric) = -0.806388884609424 " "
absolute error = 5.24025267623073900000000000000E-14 " "
relative error = 6.4984187855820020000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41941734938442976 " "
Order of pole (three term test) = -18.90645048435679 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6600000000000286 " "
y[1] (analytic) = -0.7913905633528779 " "
y[1] (numeric) = -0.791390563352825 " "
absolute error = 5.29576382746199700000000000000E-14 " "
relative error = 6.691719705407501000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41459281619347094 " "
Order of pole (three term test) = -19.115351908549272 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6500000000000288 " "
y[1] (analytic) = -0.7764791023161051 " "
y[1] (numeric) = -0.7764791023160518 " "
absolute error = 5.329070518200751000000000000000E-14 " "
relative error = 6.8631216246580750000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4096026252224322 " "
Order of pole (three term test) = -19.321792519081377 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.640000000000029 " "
y[1] (analytic) = -0.7616549926411689 " "
y[1] (numeric) = -0.7616549926411154 " "
absolute error = 5.351274978693255000000000000000E-14 " "
relative error = 7.02585163938438100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4044487761542864 " "
Order of pole (three term test) = -19.52568991852498 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.630000000000029 " "
y[1] (analytic) = -0.7469187167350171 " "
y[1] (numeric) = -0.7469187167349631 " "
absolute error = 5.39568389967826100000000000000E-14 " "
relative error = 7.223923806949500000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39913333384914734 " "
Order of pole (three term test) = -19.726962730236565 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6200000000000294 " "
y[1] (analytic) = -0.7322707482212927 " "
y[1] (numeric) = -0.7322707482212387 " "
absolute error = 5.39568389967826100000000000000E-14 " "
relative error = 7.368427474106451000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3936584275129538 " "
Order of pole (three term test) = -19.9255306306195 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6100000000000296 " "
y[1] (analytic) = -0.7177115518929744 " "
y[1] (numeric) = -0.7177115518929202 " "
absolute error = 5.41788836017076400000000000000E-14 " "
relative error = 7.548838173052957000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3880262498408764 " "
Order of pole (three term test) = -20.12131438096005 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.60000000000003 " "
y[1] (analytic) = -0.7032415836658963 " "
y[1] (numeric) = -0.7032415836658413 " "
absolute error = 5.49560397189452500000000000000E-14 " "
relative error = 7.81467435876976900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3822390561358032 " "
Order of pole (three term test) = -20.314235858824624 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.59000000000003 " "
y[1] (analytic) = -0.6888612905331546 " "
y[1] (numeric) = -0.6888612905330996 " "
absolute error = 5.49560397189452500000000000000E-14 " "
relative error = 7.977809244646508000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37629916340225716 " "
Order of pole (three term test) = -20.50421808900644 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5800000000000303 " "
y[1] (analytic) = -0.6745711105204135 " "
y[1] (numeric) = -0.6745711105203581 " "
absolute error = 5.54001289287953100000000000000E-14 " "
relative error = 8.212644755280967000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37020894941612065 " "
Order of pole (three term test) = -20.691185274009467 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5700000000000305 " "
y[1] (analytic) = -0.6603714726420988 " "
y[1] (numeric) = -0.6603714726420431 " "
absolute error = 5.57331958361828600000000000000E-14 " "
relative error = 8.43967344821822000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.36397085177053984 " "
Order of pole (three term test) = -20.875062824058155 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5600000000000307 " "
y[1] (analytic) = -0.6462627968584984 " "
y[1] (numeric) = -0.6462627968584426 " "
absolute error = 5.584421813864537000000000000000E-14 " "
relative error = 8.641100556941492000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35758736689839726 " "
Order of pole (three term test) = -21.055777386621205 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.550000000000031 " "
y[1] (analytic) = -0.6322454940337674 " "
y[1] (numeric) = -0.6322454940337111 " "
absolute error = 5.628830734849544000000000000000E-14 " "
relative error = 8.902919495617497000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3510610490717466 " "
Order of pole (three term test) = -21.233256875438354 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.540000000000031 " "
y[1] (analytic) = -0.6183199658948397 " "
y[1] (numeric) = -0.6183199658947833 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 9.12138257889444000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.344394509378618 " "
Order of pole (three term test) = -21.407430499038735 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5300000000000313 " "
y[1] (analytic) = -0.6044866049912585 " "
y[1] (numeric) = -0.604486604991202 " "
absolute error = 5.65103519534204700000000000000E-14 " "
relative error = 9.34848704451237000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33759041467759504 " "
Order of pole (three term test) = -21.578228788740205 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5200000000000315 " "
y[1] (analytic) = -0.5907457946559198 " "
y[1] (numeric) = -0.5907457946558629 " "
absolute error = 5.69544411632705300000000000000E-14 " "
relative error = 9.641108185364854000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3306514865305946 " "
Order of pole (three term test) = -21.745583626118798 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5100000000000318 " "
y[1] (analytic) = -0.5770979089667394 " "
y[1] (numeric) = -0.5770979089666822 " "
absolute error = 5.71764857681955600000000000000E-14 " "
relative error = 9.907588448997635000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32358050011426914 " "
Order of pole (three term test) = -21.909428269937788 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.500000000000032 " "
y[1] (analytic) = -0.5635433127092471 " "
y[1] (numeric) = -0.5635433127091891 " "
absolute error = 5.79536418854331700000000000000E-14 " "
relative error = 1.028379550931404800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31638028311047156 " "
Order of pole (three term test) = -22.069697382526247 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.490000000000032 " "
y[1] (analytic) = -0.5500823613401051 " "
y[1] (numeric) = -0.5500823613400472 " "
absolute error = 5.79536418854331700000000000000E-14 " "
relative error = 1.053544813621129200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.309053714576222 " "
Order of pole (three term test) = -22.226327055596876 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4800000000000324 " "
y[1] (analytic) = -0.5367154009515671 " "
y[1] (numeric) = -0.536715400951509 " "
absolute error = 5.80646641878956900000000000000E-14 " "
relative error = 1.08185202222537690000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.30160372379363176 " "
Order of pole (three term test) = -22.379254835493363 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4700000000000326 " "
y[1] (analytic) = -0.5234427682368663 " "
y[1] (numeric) = -0.5234427682368079 " "
absolute error = 5.83977310952832300000000000000E-14 " "
relative error = 1.115646917656092500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2940332891002334 " "
Order of pole (three term test) = -22.52841974785783 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.460000000000033 " "
y[1] (analytic) = -0.5102647904565467 " "
y[1] (numeric) = -0.5102647904564881 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.148810907524300800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28634543670019386 " "
Order of pole (three term test) = -22.673762321708637 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.450000000000033 " "
y[1] (analytic) = -0.4971817854057381 " "
y[1] (numeric) = -0.4971817854056792 " "
absolute error = 5.88973314563645500000000000000E-14 " "
relative error = 1.184623676595470300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.27854323945686954 " "
Order of pole (three term test) = -22.815224612919767 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4400000000000333 " "
y[1] (analytic) = -0.48419406138237653 " "
y[1] (numeric) = -0.4841940613823172 " "
absolute error = 5.93414206662146200000000000000E-14 " "
relative error = 1.225571013754166200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.27062981566719074 " "
Order of pole (three term test) = -22.95275022709274 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4300000000000335 " "
y[1] (analytic) = -0.4713019171563744 " "
y[1] (numeric) = -0.47130191715631464 " "
absolute error = 5.97299987248334200000000000000E-14 " "
relative error = 1.267340457370036000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.26260832781835436 " "
Order of pole (three term test) = -23.08628434181228 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4200000000000337 " "
y[1] (analytic) = -0.4585056419397442 " "
y[1] (numeric) = -0.45850564193968407 " "
absolute error = 6.01185767834522300000000000000E-14 " "
relative error = 1.311185104050538200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25448198132731914 " "
Order of pole (three term test) = -23.215773728277632 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.410000000000034 " "
y[1] (analytic) = -0.44580551535767743 " "
y[1] (numeric) = -0.4458055153576169 " "
absolute error = 6.05071548420710300000000000000E-14 " "
relative error = 1.357254514752360100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24625402326359921 " "
Order of pole (three term test) = -23.341166772300966 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.400000000000034 " "
y[1] (analytic) = -0.4332018074205819 " "
y[1] (numeric) = -0.4332018074205213 " "
absolute error = 6.06181771445335500000000000000E-14 " "
relative error = 1.399305730173957500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23792774105585865 " "
Order of pole (three term test) = -23.462413494665213 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3900000000000343 " "
y[1] (analytic) = -0.42069477849708203 " "
y[1] (numeric) = -0.4206947784970211 " "
absolute error = 6.0951244051921090000000000000E-14 " "
relative error = 1.448823402792574800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22950646118281617 " "
Order of pole (three term test) = -23.579465570833577 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3800000000000345 " "
y[1] (analytic) = -0.4082846792879806 " "
y[1] (numeric) = -0.4082846792879195 " "
absolute error = 6.11177775056148700000000000000E-14 " "
relative error = 1.496940262666723600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22099354784897499 " "
Order of pole (three term test) = -23.692276350003162 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3700000000000347 " "
y[1] (analytic) = -0.3959717508011904 " "
y[1] (numeric) = -0.39597175080112906 " "
absolute error = 6.1339822110539900000000000000E-14 " "
relative error = 1.54909591369656600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2123924016456948 " "
Order of pole (three term test) = -23.80080087349578 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.360000000000035 " "
y[1] (analytic) = -0.3837562243276329 " "
y[1] (numeric) = -0.383756224327571 " "
absolute error = 6.18949336228524800000000000000E-14 " "
relative error = 1.612871132743100800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20370645819813624 " "
Order of pole (three term test) = -23.90499589247874 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.350000000000035 " "
y[1] (analytic) = -0.3716383214181085 " "
y[1] (numeric) = -0.3716383214180464 " "
absolute error = 6.20614670765462500000000000000E-14 " "
relative error = 1.669942616243940400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19493918679859834 " "
Order of pole (three term test) = -24.004819885009137 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3400000000000354 " "
y[1] (analytic) = -0.35961825386114343 " "
y[1] (numeric) = -0.35961825386108137 " "
absolute error = 6.20614670765462500000000000000E-14 " "
relative error = 1.72575964679783900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1860940890267965 " "
Order of pole (three term test) = -24.100233072395177 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3300000000000356 " "
y[1] (analytic) = -0.3476962236618104 " "
y[1] (numeric) = -0.3476962236617481 " "
absolute error = 6.22835116814712800000000000000E-14 " "
relative error = 1.79131976256526300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1771746973576065 " "
Order of pole (three term test) = -24.19119743486833 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.320000000000036 " "
y[1] (analytic) = -0.33587242302152776 " "
y[1] (numeric) = -0.33587242302146497 " "
absolute error = 6.2783112042552600000000000000E-14 " "
relative error = 1.869254744934165700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16818457375682785 " "
Order of pole (three term test) = -24.27767672656052 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.310000000000036 " "
y[1] (analytic) = -0.32414703431883884 " "
y[1] (numeric) = -0.32414703431877606 " "
absolute error = 6.2783112042552600000000000000E-14 " "
relative error = 1.936871400797627300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15912730826550983 " "
Order of pole (three term test) = -24.359636489780655 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3000000000000362 " "
y[1] (analytic) = -0.3125202300911769 " "
y[1] (numeric) = -0.3125202300911139 " "
absolute error = 6.30051566474776300000000000000E-14 " "
relative error = 2.016034502121544500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1500065175733941 " "
Order of pole (three term test) = -24.43704406858513 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2900000000000365 " "
y[1] (analytic) = -0.30099217301760905 " "
y[1] (numeric) = -0.30099217301754555 " "
absolute error = 6.35047570085589500000000000000E-14 " "
relative error = 2.109847454566325700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14082584358202796 " "
Order of pole (three term test) = -24.509868621637327 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2800000000000367 " "
y[1] (analytic) = -0.2895630159025684 " "
y[1] (numeric) = -0.289563015902505 " "
absolute error = 6.33937347060964400000000000000E-14 " "
relative error = 2.1892897650792198000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13158895195810605 " "
Order of pole (three term test) = -24.57808113435111 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.270000000000037 " "
y[1] (analytic) = -0.27823290166057646 " "
y[1] (numeric) = -0.2782329016605128 " "
absolute error = 6.36712904622527300000000000000E-14 " "
relative error = 2.288417008996549000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12229953067760968 " "
Order of pole (three term test) = -24.64165443031392 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.260000000000037 " "
y[1] (analytic) = -0.2670019633019489 " "
y[1] (numeric) = -0.2670019633018847 " "
absolute error = 6.4226401974565310000000000000E-14 " "
relative error = 2.405465532174103600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11296128856129918 " "
Order of pole (three term test) = -24.700563181985142 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2500000000000373 " "
y[1] (analytic) = -0.25587032391949505 " "
y[1] (numeric) = -0.25587032391943076 " "
absolute error = 6.42819131257965600000000000000E-14 " "
relative error = 2.512284822292315000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1035779538021388 " "
Order of pole (three term test) = -24.75478392066568 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2400000000000375 " "
y[1] (analytic) = -0.2448380966762107 " "
y[1] (numeric) = -0.24483809667614628 " "
absolute error = 6.44206910038747100000000000000E-14 " "
relative error = 2.631154705024058600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.41532724852174200E-2 " "
Order of pole (three term test) = -24.804295045735092 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2300000000000377 " "
y[1] (analytic) = -0.23390538479396028 " "
y[1] (numeric) = -0.23390538479389536 " "
absolute error = 6.49202913649560300000000000000E-14 " "
relative error = 2.775493664762879000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.46910071007445300E-2 " "
Order of pole (three term test) = -24.849076833152804 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.220000000000038 " "
y[1] (analytic) = -0.22307228154315384 " "
y[1] (numeric) = -0.22307228154308895 " "
absolute error = 6.4892535789340400000000000000E-14 " "
relative error = 2.909036270236326500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.51949350506957500E-2 " "
Order of pole (three term test) = -24.88911144322017 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.210000000000038 " "
y[1] (analytic) = -0.21233887023342302 " "
y[1] (numeric) = -0.2123388702333579 " "
absolute error = 6.51145803942654300000000000000E-14 " "
relative error = 3.06654077619822100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.56688471496869700E-2 " "
Order of pole (three term test) = -24.924382927600572 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2000000000000384 " "
y[1] (analytic) = -0.2017052242052877 " "
y[1] (numeric) = -0.20170522420522202 " "
absolute error = 6.56696919065780100000000000000E-14 " "
relative error = 3.25572588242642460000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.61165461206588800E-2 " "
Order of pole (three term test) = -24.95487723559485 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1900000000000386 " "
y[1] (analytic) = -0.19117140682282185 " "
y[1] (numeric) = -0.19117140682275607 " "
absolute error = 6.57807142090405300000000000000E-14 " "
relative error = 3.440928499836079500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.654184508595300E-2 " "
Order of pole (three term test) = -24.980582219669742 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.180000000000039 " "
y[1] (analytic) = -0.18073747146731955 " "
y[1] (numeric) = -0.18073747146725344 " "
absolute error = 6.61137811164280700000000000000E-14 " "
relative error = 3.65800077757437100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.69485660543657700E-2 " "
Order of pole (three term test) = -25.001487640237343 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.170000000000039 " "
y[1] (analytic) = -0.1704034615319543 " "
y[1] (numeric) = -0.1704034615318881 " "
absolute error = 6.61970478432749600000000000000E-14 " "
relative error = 3.88472436229598500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.73405384047630900E-2 " "
Order of pole (three term test) = -25.01758516968362 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.160000000000039 " "
y[1] (analytic) = -0.1601694104174416 " "
y[1] (numeric) = -0.1601694104173752 " "
absolute error = 6.63913368725843600000000000000E-14 " "
relative error = 4.14506969211860800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.772159736684562600E-2 " "
Order of pole (three term test) = -25.028868395644697 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1500000000000394 " "
y[1] (analytic) = -0.15003534152869769 " "
y[1] (numeric) = -0.15003534152863118 " "
absolute error = 6.65023591750468800000000000000E-14 " "
relative error = 4.432446282153247300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.095582499650067000E-3 " "
Order of pole (three term test) = -25.035332823529522 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1400000000000396 " "
y[1] (analytic) = -0.14000126827250003 " "
y[1] (numeric) = -0.1400012682724332 " "
absolute error = 6.68354260824344200000000000000E-14 " "
relative error = 4.773915758559072500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.13000000000004 " "
y[1] (analytic) = -0.13006719405614575 " "
y[1] (numeric) = -0.13006719405607847 " "
absolute error = 6.72795152922844900000000000000E-14 " "
relative error = 5.17267369227955500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.12000000000004 " "
y[1] (analytic) = -0.12023311228711098 " "
y[1] (numeric) = -0.12023311228704357 " "
absolute error = 6.74044153825548200000000000000E-14 " "
relative error = 5.6061441062588700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1100000000000403 " "
y[1] (analytic) = -0.11049900637371124 " "
y[1] (numeric) = -0.11049900637364367 " "
absolute error = 6.75709488362485900000000000000E-14 " "
relative error = 6.11507298153627100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1000000000000405 " "
y[1] (analytic) = -0.10086484972675924 " "
y[1] (numeric) = -0.10086484972669167 " "
absolute error = 6.75709488362485900000000000000E-14 " "
relative error = 6.6991572405349210000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0900000000000407 " "
y[1] (analytic) = -9.13306057622249600E-2 " "
y[1] (numeric) = -9.13306057621571500E-2 " "
absolute error = 6.78068712289814400000000000000E-14 " "
relative error = 7.42433170820234300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.080000000000041 " "
y[1] (analytic) = -8.1896227904892700E-2 " "
y[1] (numeric) = -8.1896227904824700E-2 " "
absolute error = 6.80011602582908400000000000000E-14 " "
relative error = 8.30333239978544400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.070000000000041 " "
y[1] (analytic) = -7.25616595930196300E-2 " "
y[1] (numeric) = -7.25616595929513800E-2 " "
absolute error = 6.8250960438831500000000000000E-14 " "
relative error = 9.40592605263361200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0600000000000414 " "
y[1] (analytic) = -6.33268342839912200E-2 " "
y[1] (numeric) = -6.33268342839229300E-2 " "
absolute error = 6.82925938022549400000000000000E-14 " "
relative error = 1.07841477589096930000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0500000000000416 " "
y[1] (analytic) = -5.41916754609763600E-2 " "
y[1] (numeric) = -5.41916754609078600E-2 " "
absolute error = 6.85007606193721600000000000000E-14 " "
relative error = 1.26404581583198760000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.040000000000042 " "
y[1] (analytic) = -4.51560966405781800E-2 " "
y[1] (numeric) = -4.5156096640509200E-2 " "
absolute error = 6.89795442987417600000000000000E-14 " "
relative error = 1.5275798713911720000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.030000000000042 " "
y[1] (analytic) = -3.62200013814817370E-2 " "
y[1] (numeric) = -3.62200013814126600E-2 " "
absolute error = 6.90766888133964600000000000000E-14 " "
relative error = 1.90714208113513250000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.020000000000042 " "
y[1] (analytic) = -2.738328329410011400E-2 " "
y[1] (numeric) = -2.73832832940307360E-2 " "
absolute error = 6.93750612512644700000000000000E-14 " "
relative error = 2.53348221636416100000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0100000000000424 " "
y[1] (analytic) = -1.86458260512107900E-2 " "
y[1] (numeric) = -1.864582605114156700E-2 " "
absolute error = 6.92224055853785100000000000000E-14 " "
relative error = 3.71248800644493100000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0000000000000426 " "
y[1] (analytic) = -1.000750339959122200E-2 " "
y[1] (numeric) = -1.000750339952155300E-2 " "
absolute error = 6.96699642421805300000000000000E-14 " "
relative error = 6.9617727279539410000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.990000000000043 " "
y[1] (analytic) = -1.4681791726403048000E-3 " "
y[1] (numeric) = -1.4681791725705828000E-3 " "
absolute error = 6.97220059464598300000000000000E-14 " "
relative error = 4.748875835166292000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.980000000000043 " "
y[1] (analytic) = 6.972292696001414000E-3 " "
y[1] (numeric) = 6.972292696071420000E-3 " "
absolute error = 7.00065005965200300000000000000E-14 " "
relative error = 1.0040671504893722000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9700000000000433 " "
y[1] (analytic) = 1.53140681578478600E-2 " "
y[1] (numeric) = 1.53140681579179900E-2 " "
absolute error = 7.01296659633143800000000000000E-14 " "
relative error = 4.57942757211614400000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9600000000000435 " "
y[1] (analytic) = 2.355731303397057300E-2 " "
y[1] (numeric) = 2.355731303404109400E-2 " "
absolute error = 7.05199787454091600000000000000E-14 " "
relative error = 2.99354933407373700000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9500000000000437 " "
y[1] (analytic) = 3.17022029984186400E-2 " "
y[1] (numeric) = 3.17022029984891600E-2 " "
absolute error = 7.05199787454091600000000000000E-14 " "
relative error = 2.22445041907424620000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.940000000000044 " "
y[1] (analytic) = 3.974892356064918500E-2 " "
y[1] (numeric) = 3.97489235607198230E-2 " "
absolute error = 7.06379399417755800000000000000E-14 " "
relative error = 1.77710321724802750000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.930000000000044 " "
y[1] (analytic) = 4.769767004697822400E-2 " "
y[1] (numeric) = 4.76976700470491340E-2 " "
absolute error = 7.09085568040279700000000000000E-14 " "
relative error = 1.48662516919985750000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9200000000000443 " "
y[1] (analytic) = 5.55486475810482700E-2 " "
y[1] (numeric) = 5.55486475811190800E-2 " "
absolute error = 7.08114122893732700000000000000E-14 " "
relative error = 1.2747639298698650000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9100000000000446 " "
y[1] (analytic) = 6.33020710633145400E-2 " "
y[1] (numeric) = 6.33020710633854200E-2 " "
absolute error = 7.08877401223162500000000000000E-14 " "
relative error = 1.11983287326278070000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9000000000000448 " "
y[1] (analytic) = 7.09581651495563300E-2 " "
y[1] (numeric) = 7.09581651496277800E-2 " "
absolute error = 7.14567294224366400000000000000E-14 " "
relative error = 1.0070261719962671000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.890000000000045 " "
y[1] (analytic) = 7.85171642284128200E-2 " "
y[1] (numeric) = 7.8517164228484300E-2 " "
absolute error = 7.14844849980522700000000000000E-14 " "
relative error = 9.1043131397484100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.880000000000045 " "
y[1] (analytic) = 8.59793123979413200E-2 " "
y[1] (numeric) = 8.59793123980129200E-2 " "
absolute error = 7.15955073005147800000000000000E-14 " "
relative error = 8.3270620924655190000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8700000000000454 " "
y[1] (analytic) = 9.33448634412101800E-2 " "
y[1] (numeric) = 9.33448634412818100E-2 " "
absolute error = 7.16371406639382300000000000000E-14 " "
relative error = 7.67445984952950700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8600000000000456 " "
y[1] (analytic) = 0.10061408080091949 " "
y[1] (numeric) = 0.1006140808009913 " "
absolute error = 7.180367411763200000000000000E-14 " "
relative error = 7.13654326969469300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.850000000000046 " "
y[1] (analytic) = 0.10778723755305775 " "
y[1] (numeric) = 0.10778723755312974 " "
absolute error = 7.1997963146941400000000000000E-14 " "
relative error = 6.67963710559895900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.840000000000046 " "
y[1] (analytic) = 0.11486461637959389 " "
y[1] (numeric) = 0.11486461637966626 " "
absolute error = 7.23726634177523900000000000000E-14 " "
relative error = 6.30069256302410400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8300000000000463 " "
y[1] (analytic) = 0.12184650954021015 " "
y[1] (numeric) = 0.12184650954028267 " "
absolute error = 7.25253190836383500000000000000E-14 " "
relative error = 5.95218684206169400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8200000000000465 " "
y[1] (analytic) = 0.1287332188430752 " "
y[1] (numeric) = 0.12873321884314784 " "
absolute error = 7.26363413861008700000000000000E-14 " "
relative error = 5.64239300771652500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8100000000000467 " "
y[1] (analytic) = 0.13552505561466432 " "
y[1] (numeric) = 0.13552505561473707 " "
absolute error = 7.27473636885633800000000000000E-14 " "
relative error = 5.367816553081115000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.800000000000047 " "
y[1] (analytic) = 0.14222234066862693 " "
y[1] (numeric) = 0.14222234066869976 " "
absolute error = 7.28306304154102700000000000000E-14 " "
relative error = 5.120899436263890000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.790000000000047 " "
y[1] (analytic) = 0.14882540427370516 " "
y[1] (numeric) = 0.14882540427377827 " "
absolute error = 7.31081861715665600000000000000E-14 " "
relative error = 4.912345881292760600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7800000000000473 " "
y[1] (analytic) = 0.15533458612070827 " "
y[1] (numeric) = 0.1553345861207813 " "
absolute error = 7.30249194447196700000000000000E-14 " "
relative error = 4.70113715614969700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7700000000000475 " "
y[1] (analytic) = 0.16175023528854204 " "
y[1] (numeric) = 0.16175023528861512 " "
absolute error = 7.30804305959509300000000000000E-14 " "
relative error = 4.518103510983131000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7600000000000477 " "
y[1] (analytic) = 0.16807271020930248 " "
y[1] (numeric) = 0.16807271020937603 " "
absolute error = 7.35522753814166200000000000000E-14 " "
relative error = 4.376217607833020600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.750000000000048 " "
y[1] (analytic) = 0.1743023786324338 " "
y[1] (numeric) = 0.17430237863250736 " "
absolute error = 7.35522753814166200000000000000E-14 " "
relative error = 4.219809044403377600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.740000000000048 " "
y[1] (analytic) = 0.18043961758795124 " "
y[1] (numeric) = 0.18043961758802485 " "
absolute error = 7.36077865326478800000000000000E-14 " "
relative error = 4.079358375760767700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7300000000000484 " "
y[1] (analytic) = 0.18648481334874045 " "
y[1] (numeric) = 0.186484813348814 " "
absolute error = 7.35522753814166200000000000000E-14 " "
relative error = 3.94414290690086400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7200000000000486 " "
y[1] (analytic) = 0.19243836139192938 " "
y[1] (numeric) = 0.1924383613920031 " "
absolute error = 7.3718808835110390000000000000E-14 " "
relative error = 3.83077512726119400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.710000000000049 " "
y[1] (analytic) = 0.19830066635934163 " "
y[1] (numeric) = 0.19830066635941576 " "
absolute error = 7.41351424693448300000000000000E-14 " "
relative error = 3.73852210536721900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.700000000000049 " "
y[1] (analytic) = 0.20407214201703283 " "
y[1] (numeric) = 0.2040721420171072 " "
absolute error = 7.43571870742698600000000000000E-14 " "
relative error = 3.64367161236851500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6900000000000492 " "
y[1] (analytic) = 0.20975321121391355 " "
y[1] (numeric) = 0.20975321121398785 " "
absolute error = 7.4301675923038600000000000000E-14 " "
relative error = 3.542337945294349000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6800000000000495 " "
y[1] (analytic) = 0.21534430583946484 " "
y[1] (numeric) = 0.21534430583953895 " "
absolute error = 7.4107386893729200000000000000E-14 " "
relative error = 3.44134415836260200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6700000000000497 " "
y[1] (analytic) = 0.2208458667805493 " "
y[1] (numeric) = 0.22084586678062387 " "
absolute error = 7.45792316791948900000000000000E-14 " "
relative error = 3.37698109393656800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.66000000000005 " "
y[1] (analytic) = 0.22625834387732535 " "
y[1] (numeric) = 0.22625834387739982 " "
absolute error = 7.44682093767323700000000000000E-14 " "
relative error = 3.29129118955755200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.65000000000005 " "
y[1] (analytic) = 0.23158219587825934 " "
y[1] (numeric) = 0.23158219587833417 " "
absolute error = 7.48290318597355500000000000000E-14 " "
relative error = 3.23120832220938500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6400000000000503 " "
y[1] (analytic) = 0.2368178903942555 " "
y[1] (numeric) = 0.2368178903943301 " "
absolute error = 7.46069872548105200000000000000E-14 " "
relative error = 3.15039489333362730000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6300000000000505 " "
y[1] (analytic) = 0.24196590385189065 " "
y[1] (numeric) = 0.24196590385196573 " "
absolute error = 7.50788320402762100000000000000E-14 " "
relative error = 3.102868249000595000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6200000000000507 " "
y[1] (analytic) = 0.24702672144577686 " "
y[1] (numeric) = 0.247026721445852 " "
absolute error = 7.51343431915074700000000000000E-14 " "
relative error = 3.04154719585669200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.610000000000051 " "
y[1] (analytic) = 0.2520008370900384 " "
y[1] (numeric) = 0.25200083709011356 " "
absolute error = 7.5162098767123100000000000000E-14 " "
relative error = 2.98261305934742260000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.600000000000051 " "
y[1] (analytic) = 0.25688875336892236 " "
y[1] (numeric) = 0.25688875336899775 " "
absolute error = 7.53841433720481300000000000000E-14 " "
relative error = 2.934505399066173500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5900000000000514 " "
y[1] (analytic) = 0.26169098148654113 " "
y[1] (numeric) = 0.2616909814866166 " "
absolute error = 7.54951656745106400000000000000E-14 " "
relative error = 2.88489749419940930000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5800000000000516 " "
y[1] (analytic) = 0.26640804121575146 " "
y[1] (numeric) = 0.26640804121582695 " "
absolute error = 7.54951656745106400000000000000E-14 " "
relative error = 2.83381707736706900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.570000000000052 " "
y[1] (analytic) = 0.27104046084617783 " "
y[1] (numeric) = 0.2710404608462534 " "
absolute error = 7.5550676825741900000000000000E-14 " "
relative error = 2.787431684180126000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.560000000000052 " "
y[1] (analytic) = 0.2755887771313841 " "
y[1] (numeric) = 0.2755887771314599 " "
absolute error = 7.58282325818981900000000000000E-14 " "
relative error = 2.751499294390637500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5500000000000522 " "
y[1] (analytic) = 0.28005353523519894 " "
y[1] (numeric) = 0.28005353523527493 " "
absolute error = 7.59947660355919700000000000000E-14 " "
relative error = 2.713579957909435000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5400000000000524 " "
y[1] (analytic) = 0.2844352886771997 " "
y[1] (numeric) = 0.2844352886772754 " "
absolute error = 7.57172102794356800000000000000E-14 " "
relative error = 2.66201885959958100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5300000000000527 " "
y[1] (analytic) = 0.2887345992773591 " "
y[1] (numeric) = 0.2887345992774353 " "
absolute error = 7.61612994892857400000000000000E-14 " "
relative error = 2.63776144874570500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.520000000000053 " "
y[1] (analytic) = 0.2929520370998677 " "
y[1] (numeric) = 0.292952037099944 " "
absolute error = 7.62723217917482500000000000000E-14 " "
relative error = 2.603577109304992500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.510000000000053 " "
y[1] (analytic) = 0.2970881803961243 " "
y[1] (numeric) = 0.2970881803962005 " "
absolute error = 7.621681064051700000000000000E-14 " "
relative error = 2.565460885683599000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.631137772926955 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5000000000000533 " "
y[1] (analytic) = 0.30114361554691227 " "
y[1] (numeric) = 0.3011436155469886 " "
absolute error = 7.63278329429795100000000000000E-14 " "
relative error = 2.534599075074501000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.940445944771545 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4900000000000535 " "
y[1] (analytic) = 0.30511893700376325 " "
y[1] (numeric) = 0.30511893700383946 " "
absolute error = 7.621681064051700000000000000E-14 " "
relative error = 2.497937735001251600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.254410256244741 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4800000000000537 " "
y[1] (analytic) = 0.3090147472295106 " "
y[1] (numeric) = 0.30901474722958683 " "
absolute error = 7.621681064051700000000000000E-14 " "
relative error = 2.466445738394143500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.57320088028511 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.470000000000054 " "
y[1] (analytic) = 0.3128316566380449 " "
y[1] (numeric) = 0.31283165663812135 " "
absolute error = 7.64388552454420300000000000000E-14 " "
relative error = 2.44345013119576820000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.89699522350613 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.460000000000054 " "
y[1] (analytic) = 0.3165702835332729 " "
y[1] (numeric) = 0.3165702835333496 " "
absolute error = 7.67164110015983200000000000000E-14 " "
relative error = 2.423361098374702500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.225978339765092 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4500000000000544 " "
y[1] (analytic) = 0.3202312540472878 " "
y[1] (numeric) = 0.3202312540473643 " "
absolute error = 7.64943663966732900000000000000E-14 " "
relative error = 2.38872269429946220000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.560343371765107 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4400000000000546 " "
y[1] (analytic) = 0.3238152020777547 " "
y[1] (numeric) = 0.3238152020778315 " "
absolute error = 7.67719221528295700000000000000E-14 " "
relative error = 2.37085602097195700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.900292022953973 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.430000000000055 " "
y[1] (analytic) = 0.32732276922452463 " "
y[1] (numeric) = 0.32732276922460146 " "
absolute error = 7.68274333040608300000000000000E-14 " "
relative error = 2.347146013889477600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.246035062193357 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.420000000000055 " "
y[1] (analytic) = 0.33075460472547213 " "
y[1] (numeric) = 0.3307546047255492 " "
absolute error = 7.70494779089858600000000000000E-14 " "
relative error = 2.32950582722611800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.597792863905653 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.410000000000055 " "
y[1] (analytic) = 0.33411136539157393 " "
y[1] (numeric) = 0.3341113653916511 " "
absolute error = 7.71605002114483800000000000000E-14 " "
relative error = 2.309424587248546000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.955795986662526 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4000000000000554 " "
y[1] (analytic) = 0.33739371554122766 " "
y[1] (numeric) = 0.3373937155413046 " "
absolute error = 7.69384556065233500000000000000E-14 " "
relative error = 2.280376072894632600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.32028579346616 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3900000000000556 " "
y[1] (analytic) = 0.34060232693381964 " "
y[1] (numeric) = 0.34060232693389664 " "
absolute error = 7.6993966757754610000000000000E-14 " "
relative error = 2.26052380354743810000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.691515117290283 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.380000000000056 " "
y[1] (analytic) = 0.34373787870255157 " "
y[1] (numeric) = 0.34373787870262856 " "
absolute error = 7.6993966757754610000000000000E-14 " "
relative error = 2.239903470876428400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 19.06974897580165 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.370000000000056 " "
y[1] (analytic) = 0.3468010572865259 " "
y[1] (numeric) = 0.3468010572866031 " "
absolute error = 7.72160113626796400000000000000E-14 " "
relative error = 2.226521798025662400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 19.455265339574442 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3600000000000563 " "
y[1] (analytic) = 0.3497925563621038 " "
y[1] (numeric) = 0.3497925563621812 " "
absolute error = 7.73825448163734100000000000000E-14 " "
relative error = 2.212241038550497600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 19.145162490718985 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3500000000000565 " "
y[1] (analytic) = 0.35271307677353736 " "
y[1] (numeric) = 0.35271307677361496 " "
absolute error = 7.76045894212984400000000000000E-14 " "
relative error = 2.200218663033159000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.766055547022077 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3400000000000567 " "
y[1] (analytic) = 0.35556332646288613 " "
y[1] (numeric) = 0.3555633264629636 " "
absolute error = 7.74935671188359300000000000000E-14 " "
relative error = 2.17945894166688580000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.394364386794827 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.330000000000057 " "
y[1] (analytic) = 0.35834402039922253 " "
y[1] (numeric) = 0.35834402039930013 " "
absolute error = 7.76045894212984400000000000000E-14 " "
relative error = 2.165644883228162200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.029801321282587 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.320000000000057 " "
y[1] (analytic) = 0.36105588050713733 " "
y[1] (numeric) = 0.3610558805072148 " "
absolute error = 7.74935671188359300000000000000E-14 " "
relative error = 2.14630397405489800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.672092389824734 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3100000000000573 " "
y[1] (analytic) = 0.3636996355945459 " "
y[1] (numeric) = 0.3636996355946235 " "
absolute error = 7.76045894212984400000000000000E-14 " "
relative error = 2.13375494023899500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.320976529301646 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3000000000000576 " "
y[1] (analytic) = 0.3662760212798095 " "
y[1] (numeric) = 0.3662760212798872 " "
absolute error = 7.7660100572529700000000000000E-14 " "
relative error = 2.120261662261607700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.976204802653417 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2900000000000578 " "
y[1] (analytic) = 0.3687857799181735 " "
y[1] (numeric) = 0.36878577991825107 " "
absolute error = 7.75490782700671800000000000000E-14 " "
relative error = 2.10282181398843080000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.637539681610647 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.280000000000058 " "
y[1] (analytic) = 0.3712296605275318 " "
y[1] (numeric) = 0.3712296605276095 " "
absolute error = 7.7660100572529700000000000000E-14 " "
relative error = 2.091969172457062400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.304754379228374 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.270000000000058 " "
y[1] (analytic) = 0.3736084187135269 " "
y[1] (numeric) = 0.3736084187136047 " "
absolute error = 7.77711228749922200000000000000E-14 " "
relative error = 2.08162126385661200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.977632228219376 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2600000000000584 " "
y[1] (analytic) = 0.37592281659398896 " "
y[1] (numeric) = 0.37592281659406707 " "
absolute error = 7.81041897823797600000000000000E-14 " "
relative error = 2.077665582792631600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.655966101445596 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2500000000000586 " "
y[1] (analytic) = 0.37817362272272614 " "
y[1] (numeric) = 0.37817362272280397 " "
absolute error = 7.78266340262234700000000000000E-14 " "
relative error = 2.05796040098982100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.339557871253485 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.240000000000059 " "
y[1] (analytic) = 0.38036161201266694 " "
y[1] (numeric) = 0.3803616120127449 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 2.049041066901632300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.028217904632818 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.230000000000059 " "
y[1] (analytic) = 0.38248756565837283 " "
y[1] (numeric) = 0.3824875656584508 " "
absolute error = 7.79931674799172500000000000000E-14 " "
relative error = 2.039103345638654300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.721764591443291 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2200000000000593 " "
y[1] (analytic) = 0.38455227105791767 " "
y[1] (numeric) = 0.3845522710579955 " "
absolute error = 7.78266340262234700000000000000E-14 " "
relative error = 2.02382458468180400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.420023903192353 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2100000000000595 " "
y[1] (analytic) = 0.386556521734148 " "
y[1] (numeric) = 0.3865565217342263 " "
absolute error = 7.82707232360735400000000000000E-14 " "
relative error = 2.02481962753958580000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.12282898006403 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2000000000000597 " "
y[1] (analytic) = 0.3885011172553341 " "
y[1] (numeric) = 0.3885011172554124 " "
absolute error = 7.8326234387304790000000000000E-14 " "
relative error = 2.016113491272833200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 13.830019744092816 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.19000000000006 " "
y[1] (analytic) = 0.39038686315521076 " "
y[1] (numeric) = 0.390386863155289 " "
absolute error = 7.82152120848422800000000000000E-14 " "
relative error = 2.003530842525951500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.18000000000006 " "
y[1] (analytic) = 0.39221457085242584 " "
y[1] (numeric) = 0.3922145708525041 " "
absolute error = 7.82707232360735400000000000000E-14 " "
relative error = 1.995609777218694500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1700000000000603 " "
y[1] (analytic) = 0.3939850575693997 " "
y[1] (numeric) = 0.3939850575694779 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 1.98382399108736100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1600000000000605 " "
y[1] (analytic) = 0.3956991462506023 " "
y[1] (numeric) = 0.3956991462506807 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 1.980841916926848500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1500000000000608 " "
y[1] (analytic) = 0.3973576654802611 " "
y[1] (numeric) = 0.3973576654803395 " "
absolute error = 7.84372566897673100000000000000E-14 " "
relative error = 1.973971147504230100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.140000000000061 " "
y[1] (analytic) = 0.39896144939950196 " "
y[1] (numeric) = 0.39896144939958017 " "
absolute error = 7.82152120848422800000000000000E-14 " "
relative error = 1.96047042145470800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.130000000000061 " "
y[1] (analytic) = 0.40051133762293567 " "
y[1] (numeric) = 0.40051133762301394 " "
absolute error = 7.82707232360735400000000000000E-14 " "
relative error = 1.954269851650543800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1200000000000614 " "
y[1] (analytic) = 0.4020081751546982 " "
y[1] (numeric) = 0.4020081751547767 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 1.952516707173765400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1100000000000616 " "
y[1] (analytic) = 0.4034528123039509 " "
y[1] (numeric) = 0.40345281230402935 " "
absolute error = 7.84372566897673100000000000000E-14 " "
relative error = 1.944149459309623400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.100000000000062 " "
y[1] (analytic) = 0.4048461045998488 " "
y[1] (numeric) = 0.40484610459992754 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.944314433350558500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.090000000000062 " "
y[1] (analytic) = 0.406188912705991 " "
y[1] (numeric) = 0.4061889127060694 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 1.92968697782429600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0800000000000622 " "
y[1] (analytic) = 0.40748210233435156 " "
y[1] (numeric) = 0.40748210233443 " "
absolute error = 7.84372566897673100000000000000E-14 " "
relative error = 1.92492519893320700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0700000000000625 " "
y[1] (analytic) = 0.40872654415871246 " "
y[1] (numeric) = 0.40872654415879095 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 1.920422565227842800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0600000000000627 " "
y[1] (analytic) = 0.40992311372759493 " "
y[1] (numeric) = 0.4099231137276735 " "
absolute error = 7.85482789922298300000000000000E-14 " "
relative error = 1.916171017485666600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.050000000000063 " "
y[1] (analytic) = 0.411072691376706 " "
y[1] (numeric) = 0.41107269137678454 " "
absolute error = 7.85482789922298300000000000000E-14 " "
relative error = 1.910812385253983500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.040000000000063 " "
y[1] (analytic) = 0.41217616214090524 " "
y[1] (numeric) = 0.41217616214098385 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 1.9070435741645300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0300000000000633 " "
y[1] (analytic) = 0.4132344156657024 " "
y[1] (numeric) = 0.4132344156657813 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.90887648533685200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0200000000000635 " "
y[1] (analytic) = 0.4142483461182942 " "
y[1] (numeric) = 0.4142483461183729 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.900184108965531600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0100000000000637 " "
y[1] (analytic) = 0.41521885209814613 " "
y[1] (numeric) = 0.4152188520982251 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.902427305574466200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.000000000000064 " "
y[1] (analytic) = 0.4161468365471368 " "
y[1] (numeric) = 0.4161468365472154 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 1.88884747498393300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.990000000000064 " "
y[1] (analytic) = 0.41703320665926014 " "
y[1] (numeric) = 0.4170332066593388 " "
absolute error = 7.86593012946923400000000000000E-14 " "
relative error = 1.886163980197420300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.980000000000064 " "
y[1] (analytic) = 0.4178788737899106 " "
y[1] (numeric) = 0.4178788737899895 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.887660536274803600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.970000000000064 " "
y[1] (analytic) = 0.4186847533647471 " "
y[1] (numeric) = 0.4186847533648258 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.880049651040178500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.960000000000064 " "
y[1] (analytic) = 0.4194517647881497 " "
y[1] (numeric) = 0.41945176478822854 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.87925862675052180000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.950000000000064 " "
y[1] (analytic) = 0.4201808313512825 " "
y[1] (numeric) = 0.4201808313513612 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.87335562626168200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.940000000000064 " "
y[1] (analytic) = 0.420872880139763 " "
y[1] (numeric) = 0.4208728801398417 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.870275234170091500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9300000000000639 " "
y[1] (analytic) = 0.42152884194095575 " "
y[1] (numeric) = 0.4215288419410346 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.87131550800660070000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9200000000000639 " "
y[1] (analytic) = 0.4221496511508942 " "
y[1] (numeric) = 0.4221496511509732 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.871193497062601200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9100000000000639 " "
y[1] (analytic) = 0.42273624568084167 " "
y[1] (numeric) = 0.4227362456809204 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.862031307941166800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9000000000000639 " "
y[1] (analytic) = 0.42328956686350017 " "
y[1] (numeric) = 0.42328956686357877 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 1.8569744283068700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8900000000000639 " "
y[1] (analytic) = 0.423810559358879 " "
y[1] (numeric) = 0.4238105593589579 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.861240692514726800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8800000000000638 " "
y[1] (analytic) = 0.4243001710598304 " "
y[1] (numeric) = 0.424300171059909 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 1.852551460140165500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8700000000000638 " "
y[1] (analytic) = 0.4247593529972582 " "
y[1] (numeric) = 0.4247593529973368 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 1.85054877753259180000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8600000000000638 " "
y[1] (analytic) = 0.42518905924501826 " "
y[1] (numeric) = 0.42518905924509687 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 1.84867856861211180000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8500000000000638 " "
y[1] (analytic) = 0.4255902468245105 " "
y[1] (numeric) = 0.4255902468245892 " "
absolute error = 7.86593012946923400000000000000E-14 " "
relative error = 1.848240223585927400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8400000000000638 " "
y[1] (analytic) = 0.4259638756089781 " "
y[1] (numeric) = 0.4259638756090568 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.847922252406713800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8300000000000638 " "
y[1] (analytic) = 0.4263109082275205 " "
y[1] (numeric) = 0.4263109082275993 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.849022233001766400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8200000000000638 " "
y[1] (analytic) = 0.42663230996883206 " "
y[1] (numeric) = 0.4266323099689108 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.845026984751205700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8100000000000638 " "
y[1] (analytic) = 0.42692904868467285 " "
y[1] (numeric) = 0.4269290486847516 " "
absolute error = 7.87703235971548600000000000000E-14 " "
relative error = 1.84504483449506700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8000000000000638 " "
y[1] (analytic) = 0.42720209469308523 " "
y[1] (numeric) = 0.42720209469316417 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.847763810885787700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7900000000000638 " "
y[1] (analytic) = 0.427452420681363 " "
y[1] (numeric) = 0.42745242068144185 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.8440844158219300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7800000000000638 " "
y[1] (analytic) = 0.4276810016087822 " "
y[1] (numeric) = 0.42768100160886113 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.84569472934071300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7700000000000637 " "
y[1] (analytic) = 0.42788881460910777 " "
y[1] (numeric) = 0.4278888146091865 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.83960902361592400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7600000000000637 " "
y[1] (analytic) = 0.42807683889287906 " "
y[1] (numeric) = 0.4280768388929577 " "
absolute error = 7.86593012946923400000000000000E-14 " "
relative error = 1.837504255033425300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7500000000000637 " "
y[1] (analytic) = 0.42824605564949114 " "
y[1] (numeric) = 0.4282460556495698 " "
absolute error = 7.86593012946923400000000000000E-14 " "
relative error = 1.836778185274706700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7400000000000637 " "
y[1] (analytic) = 0.42839744794907597 " "
y[1] (numeric) = 0.42839744794915485 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.841312227167937500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7300000000000637 " "
y[1] (analytic) = 0.42853200064419705 " "
y[1] (numeric) = 0.4285320006442757 " "
absolute error = 7.86593012946923400000000000000E-14 " "
relative error = 1.835552564953062700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7200000000000637 " "
y[1] (analytic) = 0.42865070027136287 " "
y[1] (numeric) = 0.4286507002714417 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.838929335668515200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7100000000000637 " "
y[1] (analytic) = 0.4287545349523769 " "
y[1] (numeric) = 0.42875453495245575 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.83848398844671200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7000000000000637 " "
y[1] (analytic) = 0.4288444942955243 " "
y[1] (numeric) = 0.4288444942956029 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 1.832920585178221300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6900000000000637 " "
y[1] (analytic) = 0.42892156929661174 " "
y[1] (numeric) = 0.42892156929669056 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.83776803012384200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6800000000000637 " "
y[1] (analytic) = 0.4289867522398709 " "
y[1] (numeric) = 0.42898675223994953 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 1.832312763344011700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6700000000000637 " "
y[1] (analytic) = 0.4290410365987276 " "
y[1] (numeric) = 0.4290410365988065 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.838550142544833300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6600000000000636 " "
y[1] (analytic) = 0.42908541693645885 " "
y[1] (numeric) = 0.4290854169365375 " "
absolute error = 7.86593012946923400000000000000E-14 " "
relative error = 1.833185146591467800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6500000000000636 " "
y[1] (analytic) = 0.42912088880673394 " "
y[1] (numeric) = 0.4291208888068125 " "
absolute error = 7.85482789922298300000000000000E-14 " "
relative error = 1.830446408951351400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6400000000000636 " "
y[1] (analytic) = 0.429148448654062 " "
y[1] (numeric) = 0.42914844865414065 " "
absolute error = 7.86593012946923400000000000000E-14 " "
relative error = 1.83291589521974200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6300000000000636 " "
y[1] (analytic) = 0.42916909371414813 " "
y[1] (numeric) = 0.4291690937142269 " "
absolute error = 7.87703235971548600000000000000E-14 " "
relative error = 1.83541463611591100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6200000000000636 " "
y[1] (analytic) = 0.42918382191417015 " "
y[1] (numeric) = 0.42918382191424914 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.840525298688380800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6100000000000636 " "
y[1] (analytic) = 0.42919363177298764 " "
y[1] (numeric) = 0.42919363177306635 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.834016318479721500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6000000000000636 " "
y[1] (analytic) = 0.42919952230128855 " "
y[1] (numeric) = 0.4291995223013675 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.839164606419032800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5900000000000636 " "
y[1] (analytic) = 0.42920249290169266 " "
y[1] (numeric) = 0.42920249290177137 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.833978454173446600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5800000000000636 " "
y[1] (analytic) = 0.4292035432688084 " "
y[1] (numeric) = 0.4292035432688871 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.833973965975039500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5700000000000636 " "
y[1] (analytic) = 0.4292036732892668 " "
y[1] (numeric) = 0.4292036732893455 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.83397341040165900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.6788622686174710000E-4 " "
Order of pole (three term test) = -0.8928724745875275 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5600000000000636 " "
y[1] (analytic) = 0.4292038829417326 " "
y[1] (numeric) = 0.4292038829418114 " "
absolute error = 7.87703235971548600000000000000E-14 " "
relative error = 1.835265866125644400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.040993305834266200E-2 " "
Order of pole (three term test) = -0.8956751604973222 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5500000000000635 " "
y[1] (analytic) = 0.42920517219690746 " "
y[1] (numeric) = 0.42920517219698634 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.837847048670438500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.00478074792170590E-2 " "
Order of pole (three term test) = -0.9033120217448398 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5400000000000635 " "
y[1] (analytic) = 0.4292085409175339 " "
y[1] (numeric) = 0.4292085409176126 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.83395261141943320000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.96776465385497800E-2 " "
Order of pole (three term test) = -0.915779991108197 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5300000000000635 " "
y[1] (analytic) = 0.4292149887584089 " "
y[1] (numeric) = 0.4292149887584877 " "
absolute error = 7.87703235971548600000000000000E-14 " "
relative error = 1.83521837913941300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.92955905258944500E-2 " "
Order of pole (three term test) = -0.9330740610461472 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5200000000000635 " "
y[1] (analytic) = 0.4292255150664208 " "
y[1] (numeric) = 0.42922551506649953 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.833880085943698200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.889778452779075500E-2 " "
Order of pole (three term test) = -0.9551872857339371 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5100000000000635 " "
y[1] (analytic) = 0.429241118780614 " "
y[1] (numeric) = 0.42924111878069277 " "
absolute error = 7.87703235971548600000000000000E-14 " "
relative error = 1.835106660352698600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.84803799822809600E-2 " "
Order of pole (three term test) = -0.9821107838871431 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5000000000000635 " "
y[1] (analytic) = 0.42926279833229697 " "
y[1] (numeric) = 0.42926279833237574 " "
absolute error = 7.87703235971548600000000000000E-14 " "
relative error = 1.83501397985524700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.80395362308025100E-2 " "
Order of pole (three term test) = -1.0138337423722668 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4900000000000635 " "
y[1] (analytic) = 0.42929155154519916 " "
y[1] (numeric) = 0.429291551545278 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.83618416119905200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.75714220668160100E-2 " "
Order of pole (three term test) = -1.0503434206025648 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4800000000000635 " "
y[1] (analytic) = 0.42932837553569003 " "
y[1] (numeric) = 0.4293283755357689 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.837319646091269400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.70722172805300300E-2 " "
Order of pole (three term test) = -1.0916251557172365 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4700000000000635 " "
y[1] (analytic) = 0.429374266613068 " "
y[1] (numeric) = 0.4293742666131468 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.835830436932548400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.6538114199083490E-2 " "
Order of pole (three term test) = -1.1376623685417584 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4600000000000635 " "
y[1] (analytic) = 0.42943022017993004 " "
y[1] (numeric) = 0.4294302201800089 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.83688390320006600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10596531922155263 " "
Order of pole (three term test) = -1.1884365703268427 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4500000000000635 " "
y[1] (analytic) = 0.429497230632633 " "
y[1] (numeric) = 0.42949723063271183 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.835304843113392500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11535005434814612 " "
Order of pole (three term test) = -1.243927370263132 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4400000000000635 " "
y[1] (analytic) = 0.4295762912618539 " "
y[1] (numeric) = 0.4295762912619328 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.83625929792140680000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12468855870296043 " "
Order of pole (three term test) = -1.3041124837684486 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4300000000000634 " "
y[1] (analytic) = 0.42966839415326263 " "
y[1] (numeric) = 0.42966839415334157 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.837157634235760400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13397709004966699 " "
Order of pole (three term test) = -1.368967741544068 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4200000000000634 " "
y[1] (analytic) = 0.42977453008831357 " "
y[1] (numeric) = 0.4297745300883924 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.834120666298869300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1432119262995046 " "
Order of pole (three term test) = -1.4384670993961517 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4100000000000634 " "
y[1] (analytic) = 0.4298956884451679 " "
y[1] (numeric) = 0.4298956884452469 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.837477563168330200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1523893670109602 " "
Order of pole (three term test) = -1.5125826488181904 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4000000000000634 " "
y[1] (analytic) = 0.430032857099758 " "
y[1] (numeric) = 0.430032857099837 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.836891458360248600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16150573488051603 " "
Order of pole (three term test) = -1.5912846283299291 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3900000000000634 " "
y[1] (analytic) = 0.43018702232699946 " "
y[1] (numeric) = 0.4301870223270784 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.834942779627743000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17055737722385364 " "
Order of pole (three term test) = -1.6745414355679797 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3800000000000634 " "
y[1] (analytic) = 0.4303591687021644 " "
y[1] (numeric) = 0.4303591687022434 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.8354986705708498000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17954066744690225 " "
Order of pole (three term test) = -1.7623196401229642 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3700000000000634 " "
y[1] (analytic) = 0.4305502790024258 " "
y[1] (numeric) = 0.43055027900250464 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.830816018306238300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18845200650613178 " "
Order of pole (three term test) = -1.8545839971177667 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3600000000000634 " "
y[1] (analytic) = 0.4307613341085792 " "
y[1] (numeric) = 0.43076133410865813 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.832496345434558600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19728782435748413 " "
Order of pole (three term test) = -1.9512974615210852 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3500000000000634 " "
y[1] (analytic) = 0.43099331290695697 " "
y[1] (numeric) = 0.4309933129070358 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.82893405507205800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20604458139335588 " "
Order of pole (three term test) = -2.052421203190272 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3400000000000634 " "
y[1] (analytic) = 0.43124719219153884 " "
y[1] (numeric) = 0.4312471921916178 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.830431791328365500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2147187698670361 " "
Order of pole (three term test) = -2.1579146226370196 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3300000000000634 " "
y[1] (analytic) = 0.431523946566275 " "
y[1] (numeric) = 0.4315239465663539 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.827971460849218000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22330691530401994 " "
Order of pole (three term test) = -2.2677353675092484 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3200000000000633 " "
y[1] (analytic) = 0.43182454834762507 " "
y[1] (numeric) = 0.431824548347704 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.82798447547505600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23180557789962164 " "
Order of pole (three term test) = -2.3818393497822377 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3100000000000633 " "
y[1] (analytic) = 0.43214996746732814 " "
y[1] (numeric) = 0.43214996746740714 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.827892494474200300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24021135390230738 " "
Order of pole (three term test) = -2.500180763651619 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3000000000000633 " "
y[1] (analytic) = 0.43250117137541033 " "
y[1] (numeric) = 0.4325011713754892 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.823841208308508400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24852087698219316 " "
Order of pole (three term test) = -2.6227121041207897 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2900000000000633 " "
y[1] (analytic) = 0.43287912494343983 " "
y[1] (numeric) = 0.4328791249435188 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.82481352530919700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2567308195841419 " "
Order of pole (three term test) = -2.7493841862748014 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2800000000000633 " "
y[1] (analytic) = 0.4332847903680419 " "
y[1] (numeric) = 0.4332847903681208 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.820542692777509500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.26483789426491117 " "
Order of pole (three term test) = -2.880146165232605 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2700000000000633 " "
y[1] (analytic) = 0.4337191270746785 " "
y[1] (numeric) = 0.4337191270747574 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.81871955778504200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.27283885501380367 " "
Order of pole (three term test) = -3.014945556769194 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2600000000000633 " "
y[1] (analytic) = 0.43418309162170754 " "
y[1] (numeric) = 0.43418309162178664 " "
absolute error = 7.9103390504542400000000000000E-14 " "
relative error = 1.821890166406183700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28073049855628746 " "
Order of pole (three term test) = -3.1537282585989903 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2500000000000633 " "
y[1] (analytic) = 0.4346776376047281 " "
y[1] (numeric) = 0.4346776376048071 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.81726321688329420000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2885096656400533 " "
Order of pole (three term test) = -3.2964385723114584 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2400000000000633 " "
y[1] (analytic) = 0.4352037155612203 " "
y[1] (numeric) = 0.43520371556129933 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.816342014713140700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2961732423029864 " "
Order of pole (three term test) = -3.443019225949685 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2300000000000633 " "
y[1] (analytic) = 0.43576227287549374 " "
y[1] (numeric) = 0.4357622728755728 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.814013839052486300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3037181611225426 " "
Order of pole (three term test) = -3.5934113972224884 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2200000000000633 " "
y[1] (analytic) = 0.4363542536839491 " "
y[1] (numeric) = 0.43635425368402814 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.811552853809589300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31114140244601546 " "
Order of pole (three term test) = -3.7475547373401388 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2100000000000632 " "
y[1] (analytic) = 0.43698059878066564 " "
y[1] (numeric) = 0.4369805987807446 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.806415599939930600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31843999560120695 " "
Order of pole (three term test) = -3.905387395463842 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2000000000000632 " "
y[1] (analytic) = 0.4376422455233222 " "
y[1] (numeric) = 0.4376422455234011 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.802416167691785200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32561102008700443 " "
Order of pole (three term test) = -4.066846043758565 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1900000000000632 " "
y[1] (analytic) = 0.4383401277394625 " "
y[1] (numeric) = 0.4383401277395415 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.80207932614900400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3326516067433882 " "
Order of pole (three term test) = -4.231865903038757 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1800000000000632 " "
y[1] (analytic) = 0.4390751756331135 " "
y[1] (numeric) = 0.4390751756331924 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.797798222981465700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3395589389003969 " "
Order of pole (three term test) = -4.400380768996139 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1700000000000632 " "
y[1] (analytic) = 0.43984831569176475 " "
y[1] (numeric) = 0.43984831569184374 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.795900208867364500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3463302535055924 " "
Order of pole (three term test) = -4.572323038998675 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1600000000000632 " "
y[1] (analytic) = 0.4406604705937216 " "
y[1] (numeric) = 0.44066047059380054 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.791330566694431500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35296284222956553 " "
Order of pole (three term test) = -4.747623739449319 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1500000000000632 " "
y[1] (analytic) = 0.4415125591158373 " "
y[1] (numeric) = 0.44151255911591614 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.785358833421202800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35945405254904883 " "
Order of pole (three term test) = -4.926212553693300 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1400000000000632 " "
y[1] (analytic) = 0.44240549604163615 " "
y[1] (numeric) = 0.4424054960417151 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.784264837510509400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.36580128880719276 " "
Order of pole (three term test) = -5.108017850462029 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1300000000000632 " "
y[1] (analytic) = 0.44334019206983677 " "
y[1] (numeric) = 0.4433401920699156 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.777998840582654700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3720020132505951 " "
Order of pole (three term test) = -5.292966712842023 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1200000000000632 " "
y[1] (analytic) = 0.4443175537232815 " "
y[1] (numeric) = 0.44431755372336046 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.776586506415861000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3780537470426568 " "
Order of pole (three term test) = -5.480984967756413 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1100000000000632 " "
y[1] (analytic) = 0.4453384832582865 " "
y[1] (numeric) = 0.4453384832583655 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.77376021097790580000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3839540712528738 " "
Order of pole (three term test) = -5.671997215947075 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1000000000000631 " "
y[1] (analytic) = 0.44640387857441577 " "
y[1] (numeric) = 0.4464038785744947 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.768283405218886400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3897006278216666 " "
Order of pole (three term test) = -5.865926862444675 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0900000000000631 " "
y[1] (analytic) = 0.447514633124692 " "
y[1] (numeric) = 0.4475146331247709 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.763894434014055500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39529112050036586 " "
Order of pole (three term test) = -6.062696147513967 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0800000000000631 " "
y[1] (analytic) = 0.4486716358262526 " "
y[1] (numeric) = 0.44867163582633146 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.758108594369982800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.40072331576598513 " "
Order of pole (three term test) = -6.262226178061531 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0700000000000631 " "
y[1] (analytic) = 0.44987577097145803 " "
y[1] (numeric) = 0.4498757709715371 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.75710461540562220000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.40599504371042194 " "
Order of pole (three term test) = -6.464436959492910 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0600000000000631 " "
y[1] (analytic) = 0.4511279181394645 " "
y[1] (numeric) = 0.45112791813954334 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.74730562172872200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4111041989037345 " "
Order of pole (three term test) = -6.669247428005832 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.050000000000063 " "
y[1] (analytic) = 0.4524289521082647 " "
y[1] (numeric) = 0.4524289521083436 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.743507915044777000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41604874123115915 " "
Order of pole (three term test) = -6.876575483306191 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.040000000000063 " "
y[1] (analytic) = 0.453779742767213 " "
y[1] (numeric) = 0.4537797427672919 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.73831792090558680000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4208266967035422 " "
Order of pole (three term test) = -7.08633802173326 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.030000000000063 " "
y[1] (analytic) = 0.45518115503003576 " "
y[1] (numeric) = 0.45518115503011464 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.73296598569447100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42543615824086817 " "
Order of pole (three term test) = -7.298450969780296 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.020000000000063 " "
y[1] (analytic) = 0.4566340487483411 " "
y[1] (numeric) = 0.45663404874842006 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.728667786977753000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4298752864285855 " "
Order of pole (three term test) = -7.512829317996924 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.010000000000063 " "
y[1] (analytic) = 0.45813927862563486 " "
y[1] (numeric) = 0.45813927862571385 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.72419986426503100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43414231024643146 " "
Order of pole (three term test) = -7.729387155259001 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.000000000000063 " "
y[1] (analytic) = 0.45969769413185024 " "
y[1] (numeric) = 0.4596976941319293 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.71956223323231800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4382355277694821 " "
Order of pole (three term test) = -7.948037703392037 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.990000000000063 " "
y[1] (analytic) = 0.46131013941840204 " "
y[1] (numeric) = 0.4613101394184811 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.71355174314986800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44215330684115567 " "
Order of pole (three term test) = -8.168693352133939 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.980000000000063 " "
y[1] (analytic) = 0.46297745323377204 " "
y[1] (numeric) = 0.46297745323385103 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.706181751407970200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4458940857179099 " "
Order of pole (three term test) = -8.391265694422373 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.970000000000063 " "
y[1] (analytic) = 0.46470046883963456 " "
y[1] (numeric) = 0.46470046883971367 " "
absolute error = 7.9103390504542400000000000000E-14 " "
relative error = 1.702244688972769600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4494563736853959 " "
Order of pole (three term test) = -8.615665561992742 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.960000000000063 " "
y[1] (analytic) = 0.4664800139275318 " "
y[1] (numeric) = 0.46648001392761096 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.69694090405491800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45283875164582776 " "
Order of pole (three term test) = -8.84180306127163 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.950000000000063 " "
y[1] (analytic) = 0.4683169105361047 " "
y[1] (numeric) = 0.46831691053618374 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.68791426435618700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45603987267635304 " "
Order of pole (three term test) = -9.069587609551427 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.940000000000063 " "
y[1] (analytic) = 0.47021197496888956 " "
y[1] (numeric) = 0.47021197496896866 " "
absolute error = 7.9103390504542400000000000000E-14 " "
relative error = 1.682292130262656200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 13.876366876844987 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4590584625582128 " "
Order of pole (three term test) = -9.298927971431079 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.930000000000063 " "
y[1] (analytic) = 0.4721660177126894 " "
y[1] (numeric) = 0.4721660177127683 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.670627341665580600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.169864151500732 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4618933202764954 " "
Order of pole (three term test) = -9.529732295508046 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.920000000000063 " "
y[1] (analytic) = 0.4741798433565243 " "
y[1] (numeric) = 0.4741798433566033 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.665873598568116700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.467772169315289 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4645433184903015 " "
Order of pole (three term test) = -9.761908151306704 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.910000000000063 " "
y[1] (analytic) = 0.4762542505111751 " "
y[1] (numeric) = 0.4762542505112542 " "
absolute error = 7.9103390504542400000000000000E-14 " "
relative error = 1.660948756250234800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.770252063486634 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4670074039731456 " "
Order of pole (three term test) = -9.995362566427712 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.900000000000063 " "
y[1] (analytic) = 0.47839003172932193 " "
y[1] (numeric) = 0.4783900317294009 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.65121267089391600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.07747180900207 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.46928459802343925 " "
Order of pole (three term test) = -10.230002063903742 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.890000000000063 " "
y[1] (analytic) = 0.480587973426289 " "
y[1] (numeric) = 0.4805879734263681 " "
absolute error = 7.9103390504542400000000000000E-14 " "
relative error = 1.645971078730604500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.389606613494712 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4713739968449047 " "
Order of pole (three term test) = -10.465732699745828 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.880000000000063 " "
y[1] (analytic) = 0.48284885580140546 " "
y[1] (numeric) = 0.4828488558014844 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.634815037923899600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.706839334568379 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4732747718967863 " "
Order of pole (three term test) = -10.702460100665377 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.870000000000063 " "
y[1] (analytic) = 0.485173452759984 " "
y[1] (numeric) = 0.485173452760063 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.628126348478459000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.029360925726177 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4749861702137398 " "
Order of pole (three term test) = -10.940089501956505 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8600000000000629 " "
y[1] (analytic) = 0.4875625318359329 " "
y[1] (numeric) = 0.48756253183601195 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.62128699790883700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.357370913235968 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.47650751469528574 " "
Order of pole (three term test) = -11.178525785523185 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8500000000000629 " "
y[1] (analytic) = 0.4900168541150023 " "
y[1] (numeric) = 0.4900168541150812 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.610900857551379200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.691077906486107 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.47783820436473456 " "
Order of pole (three term test) = -11.417673518036002 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8400000000000629 " "
y[1] (analytic) = 0.49253717415867593 " "
y[1] (numeric) = 0.49253717415875486 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.60265785391090700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.03070014462704 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4789777145974941 " "
Order of pole (three term test) = -11.657436989202797 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8300000000000629 " "
y[1] (analytic) = 0.49512423992871635 " "
y[1] (numeric) = 0.49512423992879545 " "
absolute error = 7.9103390504542400000000000000E-14 " "
relative error = 1.59764729991670400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.376466082564328 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4799255973186936 " "
Order of pole (three term test) = -11.89772025013818 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8200000000000629 " "
y[1] (analytic) = 0.4977787927123696 " "
y[1] (numeric) = 0.49777879271244857 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.586897018485957700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.72861501966685 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4806814811700573 " "
Order of pole (three term test) = -12.13842715181582 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8100000000000629 " "
y[1] (analytic) = 0.5005015670482356 " "
y[1] (numeric) = 0.5005015670483147 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.581591484770411800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.08739777488677 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.481245071645988 " "
Order of pole (three term test) = -12.379461383588636 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8000000000000629 " "
y[1] (analytic) = 0.5032932906528167 " "
y[1] (numeric) = 0.5032932906528959 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.57281853594943500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.453077412356688 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4816161511988206 " "
Order of pole (three term test) = -12.620726511760967 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7900000000000629 " "
y[1] (analytic) = 0.5061546843477458 " "
y[1] (numeric) = 0.5061546843478247 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.559540185873618800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.825930021941183 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4817945793132272 " "
Order of pole (three term test) = -12.862126018197369 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7800000000000629 " "
y[1] (analytic) = 0.509086461987704 " "
y[1] (numeric) = 0.5090864619877831 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.552739765356800600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 19.20624555967909 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4817802925497617 " "
Order of pole (three term test) = -13.103563338952453 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7700000000000629 " "
y[1] (analytic) = 0.5120893303890377 " "
y[1] (numeric) = 0.5120893303891166 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.54146654434060900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 19.39336655923222 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4815733045575474 " "
Order of pole (three term test) = -13.34494190290652 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7600000000000628 " "
y[1] (analytic) = 0.5151639892590754 " "
y[1] (numeric) = 0.5151639892591544 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.534421679337490700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 19.009029212178458 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.48117370605612575 " "
Order of pole (three term test) = -13.586165170391146 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7500000000000628 " "
y[1] (analytic) = 0.5183111311261592 " "
y[1] (numeric) = 0.5183111311262383 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.525104799149500400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.63192919888378 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4805816647864878 " "
Order of pole (three term test) = -13.827136671789619 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7400000000000628 " "
y[1] (analytic) = 0.5215314412703917 " "
y[1] (numeric) = 0.5215314412704708 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.515687705438418800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.26179066548832 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4797974254313341 " "
Order of pole (three term test) = -14.067760046096522 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7300000000000628 " "
y[1] (analytic) = 0.5248255976551086 " "
y[1] (numeric) = 0.5248255976551879 " "
absolute error = 7.92699239582361800000000000000E-14 " "
relative error = 1.510405062413299700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.898350584918553 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4788213095046119 " "
Order of pole (three term test) = -14.307939079421399 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7200000000000628 " "
y[1] (analytic) = 0.5281942708590837 " "
y[1] (numeric) = 0.5281942708591628 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.498670205699606500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.541357997498903 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4776537152103948 " "
Order of pole (three term test) = -14.547577743420861 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7100000000000628 " "
y[1] (analytic) = 0.5316381240094701 " "
y[1] (numeric) = 0.5316381240095491 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.486873792217035800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.190573304340997 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4762951172711819 " "
Order of pole (three term test) = -14.78658023364401 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7000000000000628 " "
y[1] (analytic) = 0.5351578127154892 " "
y[1] (numeric) = 0.5351578127155684 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.479169317441276500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.845767609263728 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4747460667257032 " "
Order of pole (three term test) = -15.024851007775961 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6900000000000628 " "
y[1] (analytic) = 0.5387539850028704 " "
y[1] (numeric) = 0.5387539850029497 " "
absolute error = 7.92699239582361800000000000000E-14 " "
relative error = 1.471356614797268700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.506722105382607 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4730071906963348 " "
Order of pole (three term test) = -15.2622948237642 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6800000000000628 " "
y[1] (analytic) = 0.5424272812490487 " "
y[1] (numeric) = 0.5424272812491279 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.459345877174434400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.17322750285338 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.47107919212623245 " "
Order of pole (three term test) = -15.498816777812713 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6700000000000628 " "
y[1] (analytic) = 0.5461783341191271 " "
y[1] (numeric) = 0.546178334119206 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.445257933531133000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.845083494567184 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.4689628494863121 " "
Order of pole (three term test) = -15.734322342228964 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6600000000000628 " "
y[1] (analytic) = 0.5500077685026106 " "
y[1] (numeric) = 0.5500077685026897 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.439232428867010500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.522098256875278 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.466659016452209 " "
Order of pole (three term test) = -15.968717403108512 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6500000000000627 " "
y[1] (analytic) = 0.5539162014509194 " "
y[1] (numeric) = 0.5539162014509985 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.429077204249055700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.204087982675494 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.46416862155136834 " "
Order of pole (three term test) = -16.20190829784263 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6400000000000627 " "
y[1] (analytic) = 0.5579042421156821 " "
y[1] (numeric) = 0.5579042421157612 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.416871810358460700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.89087644442123 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.461492667780422 " "
Order of pole (three term test) = -16.43380185243404 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6300000000000627 " "
y[1] (analytic) = 0.5619724916878224 " "
y[1] (numeric) = 0.5619724916879014 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.406614745784078600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.582294584821296 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 0.45863223219302485 " "
Order of pole (three term test) = -16.66430541860615 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6200000000000627 " "
y[1] (analytic) = 0.5661215433374398 " "
y[1] (numeric) = 0.5661215433375189 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.396305798350341600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45558846545833287 " "
Order of pole (three term test) = -16.893326910691044 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6100000000000627 " "
y[1] (analytic) = 0.5703519821544936 " "
y[1] (numeric) = 0.5703519821545727 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.387895617663191800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4523625913903169 " "
Order of pole (three term test) = -17.120774842281957 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6000000000000627 " "
y[1] (analytic) = 0.5746643850902944 " "
y[1] (numeric) = 0.5746643850903734 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.37554860548545600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4489559064481163 " "
Order of pole (three term test) = -17.346558362635665 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5900000000000627 " "
y[1] (analytic) = 0.5790593208998087 " "
y[1] (numeric) = 0.5790593208998878 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.365108487166349400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44536977920764653 " "
Order of pole (three term test) = -17.57058729281076 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5800000000000627 " "
y[1] (analytic) = 0.5835373500847847 " "
y[1] (numeric) = 0.5835373500848638 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.356535303940224500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4416056498046943 " "
Order of pole (three term test) = -17.792772161527363 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5700000000000627 " "
y[1] (analytic) = 0.5880990248377025 " "
y[1] (numeric) = 0.5880990248377815 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.344125326089870000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43766502934972945 " "
Order of pole (three term test) = -18.01302424073467 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5600000000000627 " "
y[1] (analytic) = 0.5927448889865545 " "
y[1] (numeric) = 0.5927448889866336 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.333590231177923000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43354949931468867 " "
Order of pole (three term test) = -18.23125558087202 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5500000000000627 " "
y[1] (analytic) = 0.5974754779404643 " "
y[1] (numeric) = 0.5974754779405435 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.324889549084749000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42926071089198803 " "
Order of pole (three term test) = -18.44737904581016 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5400000000000627 " "
y[1] (analytic) = 0.6022913186361454 " "
y[1] (numeric) = 0.6022913186362245 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.314295909743884700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4248003843260329 " "
Order of pole (three term test) = -18.661308347458803 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5300000000000626 " "
y[1] (analytic) = 0.6071929294852081 " "
y[1] (numeric) = 0.6071929294852871 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.301857704771525200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.420170308217508 " "
Order of pole (three term test) = -18.872958080027203 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5200000000000626 " "
y[1] (analytic) = 0.6121808203223185 " "
y[1] (numeric) = 0.6121808203223977 " "
absolute error = 7.92699239582361800000000000000E-14 " "
relative error = 1.294877613390433800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4153723388007365 " "
Order of pole (three term test) = -19.08224375392435 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5100000000000626 " "
y[1] (analytic) = 0.6172554923542168 " "
y[1] (numeric) = 0.6172554923542958 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.27883604161678500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41040839919440814 " "
Order of pole (three term test) = -19.28908182928573 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5000000000000626 " "
y[1] (analytic) = 0.6224174381095948 " "
y[1] (numeric) = 0.6224174381096738 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.268230165443235700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4052804786259889 " "
Order of pole (three term test) = -19.493389749113597 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4900000000000626 " "
y[1] (analytic) = 0.6276671413898454 " "
y[1] (numeric) = 0.6276671413899244 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.259391708450360900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3999906316301297 " "
Order of pole (three term test) = -19.695085972017992 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4800000000000626 " "
y[1] (analytic) = 0.6330050772206821 " "
y[1] (numeric) = 0.6330050772207612 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.248771648094585300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3945409772214073 " "
Order of pole (three term test) = -19.894090004545806 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4700000000000626 " "
y[1] (analytic) = 0.638431711804637 " "
y[1] (numeric) = 0.6384317118047158 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.234679187936503600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3889336980417337 " "
Order of pole (three term test) = -20.090322433085497 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4600000000000626 " "
y[1] (analytic) = 0.6439475024744401 " "
y[1] (numeric) = 0.6439475024745189 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.224103431498515800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3831710394827875 " "
Order of pole (three term test) = -20.283704955335025 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.45000000000006257 " "
y[1] (analytic) = 0.6495528976472877 " "
y[1] (numeric) = 0.6495528976473667 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.215249094211753600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3772553087838194 " "
Order of pole (three term test) = -20.47416041132112 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.44000000000006256 " "
y[1] (analytic) = 0.6552483367800006 " "
y[1] (numeric) = 0.6552483367800797 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.206380465485278200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.371188874105204 " "
Order of pole (three term test) = -20.661612813957664 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.43000000000006255 " "
y[1] (analytic) = 0.6610342503250786 " "
y[1] (numeric) = 0.6610342503251574 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.192462186484614400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3649741635781135 " "
Order of pole (three term test) = -20.84598737913175 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.42000000000006255 " "
y[1] (analytic) = 0.6669110596876546 " "
y[1] (numeric) = 0.6669110596877337 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.185283677711581600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35861366433069486 " "
Order of pole (three term test) = -21.027210555305608 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.41000000000006254 " "
y[1] (analytic) = 0.6728791771833573 " "
y[1] (numeric) = 0.6728791771834363 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.173120817637348400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35210992149114834 " "
Order of pole (three term test) = -21.20521005262325 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.40000000000006253 " "
y[1] (analytic) = 0.6789390059970768 " "
y[1] (numeric) = 0.6789390059971557 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.16265019911359300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3454655371681075 " "
Order of pole (three term test) = -21.379914871510625 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3900000000000625 " "
y[1] (analytic) = 0.6850909401426482 " "
y[1] (numeric) = 0.6850909401427272 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.153830458433036200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33868316940873094 " "
Order of pole (three term test) = -21.551255330758245 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3800000000000625 " "
y[1] (analytic) = 0.6913353644234506 " "
y[1] (numeric) = 0.6913353644235294 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.140196767080244700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33176553113492224 " "
Order of pole (three term test) = -21.719163095075793 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3700000000000625 " "
y[1] (analytic) = 0.6976726543939258 " "
y[1] (numeric) = 0.6976726543940046 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.129839821755129500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3247153890581107 " "
Order of pole (three term test) = -21.883571202107934 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3600000000000625 " "
y[1] (analytic) = 0.7041031763220247 " "
y[1] (numeric) = 0.7041031763221036 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.121097868968375700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.317535562573021 " "
Order of pole (three term test) = -22.044414088901167 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3500000000000625 " "
y[1] (analytic) = 0.7106272871525801 " "
y[1] (numeric) = 0.710627287152659 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.110805319158817400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31022892263087315 " "
Order of pole (three term test) = -22.201627617811713 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3400000000000625 " "
y[1] (analytic) = 0.7172453344716121 " "
y[1] (numeric) = 0.7172453344716911 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.102103778918896300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.30279839059246855 " "
Order of pole (three term test) = -22.355149101844376 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.33000000000006247 " "
y[1] (analytic) = 0.7239576564715708 " "
y[1] (numeric) = 0.7239576564716498 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.090351850625788800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2952469370616114 " "
Order of pole (three term test) = -22.50491732941287 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.32000000000006246 " "
y[1] (analytic) = 0.7307645819175164 " "
y[1] (numeric) = 0.7307645819175953 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.080195441926309500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2875775806993329 " "
Order of pole (three term test) = -22.65087258851228 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.31000000000006245 " "
y[1] (analytic) = 0.737666430114243 " "
y[1] (numeric) = 0.7376664301143222 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.073098875375340800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2797933870193876 " "
Order of pole (three term test) = -22.792956690294286 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.30000000000006244 " "
y[1] (analytic) = 0.74466351087435 " "
y[1] (numeric) = 0.744663510874429 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.060033906564920300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.27189746716549873 " "
Order of pole (three term test) = -22.931112992036425 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.29000000000006243 " "
y[1] (analytic) = 0.7517561244872584 " "
y[1] (numeric) = 0.7517561244873372 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.048555936968919900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.26389297667083644 " "
Order of pole (three term test) = -23.065286419496502 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2800000000000624 " "
y[1] (analytic) = 0.7589445616891839 " "
y[1] (numeric) = 0.7589445616892628 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.040087261119030400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2557831142002178 " "
Order of pole (three term test) = -23.195423488643865 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2700000000000624 " "
y[1] (analytic) = 0.7662291036340638 " "
y[1] (numeric) = 0.7662291036341426 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.02875020505657800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24757112027552866 " "
Order of pole (three term test) = -23.321472326759135 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2600000000000624 " "
y[1] (analytic) = 0.7736100218654403 " "
y[1] (numeric) = 0.7736100218655193 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.021805265173523500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23926027598486235 " "
Order of pole (three term test) = -23.44338269289464 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2500000000000624 " "
y[1] (analytic) = 0.7810875782893083 " "
y[1] (numeric) = 0.7810875782893871 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.009180493191631400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23085390167589043 " "
Order of pole (three term test) = -23.561105997687626 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.24000000000006239 " "
y[1] (analytic) = 0.7886620251479228 " "
y[1] (numeric) = 0.7886620251480017 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 9.99488148723801000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22235535563397296 " "
Order of pole (three term test) = -23.674595322518886 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.23000000000006238 " "
y[1] (analytic) = 0.7963336049945771 " "
y[1] (numeric) = 0.7963336049946558 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 9.88465285807694000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21376803274553235 " "
Order of pole (three term test) = -23.783805438009566 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.22000000000006237 " "
y[1] (analytic) = 0.8041025506693458 " "
y[1] (numeric) = 0.8041025506694245 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 9.789150946032983000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20509536314720986 " "
Order of pole (three term test) = -23.8886928218491 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.21000000000006236 " "
y[1] (analytic) = 0.8119690852758024 " "
y[1] (numeric) = 0.8119690852758811 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 9.694311504382763000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19634081086133737 " "
Order of pole (three term test) = -23.989215675947754 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.20000000000006235 " "
y[1] (analytic) = 0.8199334221587085 " "
y[1] (numeric) = 0.8199334221587871 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 9.586606426716232000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18750787241825692 " "
Order of pole (three term test) = -24.085333942907056 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.19000000000006234 " "
y[1] (analytic) = 0.8279957648826792 " "
y[1] (numeric) = 0.8279957648827577 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 9.479851367611815000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17860007546602516 " "
Order of pole (three term test) = -24.177009321802164 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.18000000000006233 " "
y[1] (analytic) = 0.8361563072118274 " "
y[1] (numeric) = 0.836156307211906 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 9.400609606781093000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16962097736804901 " "
Order of pole (three term test) = -24.264205283270112 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.17000000000006232 " "
y[1] (analytic) = 0.8444152330903874 " "
y[1] (numeric) = 0.8444152330904662 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 9.334961244114423000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16057416378919598 " "
Order of pole (three term test) = -24.346887083898274 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.16000000000006231 " "
y[1] (analytic) = 0.8527727166243206 " "
y[1] (numeric) = 0.8527727166243994 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 9.230456241319985000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15146324727093366 " "
Order of pole (three term test) = -24.425021779907695 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1500000000000623 " "
y[1] (analytic) = 0.8612289220639047 " "
y[1] (numeric) = 0.8612289220639834 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 9.139824549468955000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14229186579604888 " "
Order of pole (three term test) = -24.498578240126136 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1400000000000623 " "
y[1] (analytic) = 0.8697840037873092 " "
y[1] (numeric) = 0.8697840037873878 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 9.037162077158906000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13306368134351063 " "
Order of pole (three term test) = -24.567527158245916 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1300000000000623 " "
y[1] (analytic) = 0.8784381062851578 " "
y[1] (numeric) = 0.8784381062852363 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 8.935492128516372000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12378237843403503 " "
Order of pole (three term test) = -24.63184106436207 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.12000000000006229 " "
y[1] (analytic) = 0.8871913641460789 " "
y[1] (numeric) = 0.8871913641461575 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 8.85984617525185100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11445166266691846 " "
Order of pole (three term test) = -24.69149433578635 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1100000000000623 " "
y[1] (analytic) = 0.8960439020432476 " "
y[1] (numeric) = 0.8960439020433263 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 8.784704886270676000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10507525924870759 " "
Order of pole (three term test) = -24.74646320713318 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1000000000000623 " "
y[1] (analytic) = 0.9049958347219182 " "
y[1] (numeric) = 0.9049958347219967 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 8.673273934472566000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.56569115142786400E-2 " "
Order of pole (three term test) = -24.796725779673675 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -9.00000000000623100E-2 " "
y[1] (analytic) = 0.9140472669879491 " "
y[1] (numeric) = 0.9140472669880276 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 8.587386087773666000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.6200379440896200E-2 " "
Order of pole (three term test) = -24.84226202995426 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -8.00000000000623100E-2 " "
y[1] (analytic) = 0.9231982936973232 " "
y[1] (numeric) = 0.9231982936974019 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 8.526316933567771000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.67094381558319700E-2 " "
Order of pole (three term test) = -24.883053817676682 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -7.00000000000623200E-2 " "
y[1] (analytic) = 0.9324489997466624 " "
y[1] (numeric) = 0.9324489997467411 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 8.441728444913306000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.71878764381194300E-2 " "
Order of pole (three term test) = -24.91908489283642 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -6.000000000006231000E-2 " "
y[1] (analytic) = 0.9417994600647374 " "
y[1] (numeric) = 0.9417994600648159 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 8.334339864200299000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.76394952150257400E-2 " "
Order of pole (three term test) = -24.95034090211693 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -5.000000000006232000E-2 " "
y[1] (analytic) = 0.9512497396049745 " "
y[1] (numeric) = 0.9512497396050531 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 8.263212789535468000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.80681060538227900E-2 " "
Order of pole (three term test) = -24.97680939453718 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.00000000000623130E-2 " "
y[1] (analytic) = 0.9607998933389622 " "
y[1] (numeric) = 0.9607998933390408 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 8.181078150445873000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.847752964944245500E-2 " "
Order of pole (three term test) = -24.998479826350483 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.00000000000623100E-2 " "
y[1] (analytic) = 0.9704499662509521 " "
y[1] (numeric) = 0.9704499662510306 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 8.088285905581746000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.887159430859976000E-2 " "
Order of pole (three term test) = -25.015343565192794 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.000000000006230700E-2 " "
y[1] (analytic) = 0.980199993333361 " "
y[1] (numeric) = 0.9801999933334398 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 8.030484899131506000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.925413443097288600E-2 " "
Order of pole (three term test) = -25.027393893478813 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.000000000006230800E-2 " "
y[1] (analytic) = 0.9900499995832731 " "
y[1] (numeric) = 0.9900499995833516 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 7.928161999296738000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.628988988025302000E-3 " "
Order of pole (three term test) = -25.03462601104483 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -6.23077978101349600000000000000E-14 " "
y[1] (analytic) = 0.9999999999999377 " "
y[1] (numeric) = 1.0000000000000162 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 7.849276784100346000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.00001015949447800000000000000E-14 " "
Order of pole (three term test) = -25.037037037037038 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.999999999937692000E-3 " "
y[1] (analytic) = 1.0100499995832717 " "
y[1] (numeric) = 1.0100499995833503 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 7.782168226908726000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.999999999993769300E-2 " "
y[1] (analytic) = 1.0201999933333588 " "
y[1] (numeric) = 1.0201999933334371 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 7.682978440573678000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.999999999993769300E-2 " "
y[1] (analytic) = 1.030449966250948 " "
y[1] (numeric) = 1.0304499662510267 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 7.62810351961509000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.999999999993769700E-2 " "
y[1] (analytic) = 1.040799893338957 " "
y[1] (numeric) = 1.0407998933390357 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 7.552248097498815000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.9999999999937700E-2 " "
y[1] (analytic) = 1.0512497396049683 " "
y[1] (numeric) = 1.0512497396050466 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 7.456053741139554000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.9999999999937700E-2 " "
y[1] (analytic) = 1.0617994600647298 " "
y[1] (numeric) = 1.0617994600648082 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 7.381972631042563000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.9999999999937690E-2 " "
y[1] (analytic) = 1.0724489997466538 " "
y[1] (numeric) = 1.0724489997467321 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 7.308668809151045000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.99999999999376900E-2 " "
y[1] (analytic) = 1.0831982936973132 " "
y[1] (numeric) = 1.0831982936973916 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 7.236140048835683000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.99999999999376900E-2 " "
y[1] (analytic) = 1.0940472669879377 " "
y[1] (numeric) = 1.0940472669880161 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 7.164383834560617000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.99999999999376800E-2 " "
y[1] (analytic) = 1.1049958347219058 " "
y[1] (numeric) = 1.104995834721984 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 7.073302765279786000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.10999999999993768 " "
y[1] (analytic) = 1.116043902043234 " "
y[1] (numeric) = 1.1160439020433122 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 7.003281930981172000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11999999999993767 " "
y[1] (analytic) = 1.127191364146064 " "
y[1] (numeric) = 1.1271913641461422 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.934022333716434000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12999999999993767 " "
y[1] (analytic) = 1.1384381062851416 " "
y[1] (numeric) = 1.1384381062852198 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.865520444379306000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13999999999993767 " "
y[1] (analytic) = 1.149784003787292 " "
y[1] (numeric) = 1.1497840037873701 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.797772509980964000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14999999999993768 " "
y[1] (analytic) = 1.161228922063886 " "
y[1] (numeric) = 1.1612289220639644 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 6.7498960841610700000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1599999999999377 " "
y[1] (analytic) = 1.1727727166243007 " "
y[1] (numeric) = 1.172772716624379 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 6.683455747857899000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1699999999999377 " "
y[1] (analytic) = 1.1844152330903666 " "
y[1] (numeric) = 1.1844152330904447 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.5990117950169690000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1799999999999377 " "
y[1] (analytic) = 1.1961563072118053 " "
y[1] (numeric) = 1.1961563072118835 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.534238080957688000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18999999999993772 " "
y[1] (analytic) = 1.2079957648826558 " "
y[1] (numeric) = 1.207995764882734 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.470196602154762000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.19999999999993773 " "
y[1] (analytic) = 1.219933422158684 " "
y[1] (numeric) = 1.219933422158762 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.406882499809431000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.20999999999993774 " "
y[1] (analytic) = 1.2319690852757765 " "
y[1] (numeric) = 1.231969085275855 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 6.362314320654424000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.21999999999993775 " "
y[1] (analytic) = 1.2441025506693186 " "
y[1] (numeric) = 1.244102550669397 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 6.300264033408436000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22999999999993775 " "
y[1] (analytic) = 1.2563336049945488 " "
y[1] (numeric) = 1.256333604994627 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.221253703863963000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23999999999993776 " "
y[1] (analytic) = 1.2686620251478933 " "
y[1] (numeric) = 1.2686620251479717 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 6.178299971530933000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24999999999993777 " "
y[1] (analytic) = 1.2810875782892777 " "
y[1] (numeric) = 1.2810875782893558 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.101042759151791000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2599999999999378 " "
y[1] (analytic) = 1.2936100218654085 " "
y[1] (numeric) = 1.2936100218654867 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.041983257125926000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2699999999999378 " "
y[1] (analytic) = 1.3062291036340308 " "
y[1] (numeric) = 1.3062291036341087 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.966614594013974000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2799999999999378 " "
y[1] (analytic) = 1.3189445616891498 " "
y[1] (numeric) = 1.3189445616892277 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.909092663369608000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2899999999999378 " "
y[1] (analytic) = 1.331756124487223 " "
y[1] (numeric) = 1.3317561244873009 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.852246886320495000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2999999999999378 " "
y[1] (analytic) = 1.3446635108743135 " "
y[1] (numeric) = 1.3446635108743914 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.796071336687805000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3099999999999378 " "
y[1] (analytic) = 1.3576664301142056 " "
y[1] (numeric) = 1.3576664301142833 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 5.724205150835437000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31999999999993783 " "
y[1] (analytic) = 1.3707645819174774 " "
y[1] (numeric) = 1.3707645819175553 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.685706893569124000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.32999999999993784 " "
y[1] (analytic) = 1.3839576564715308 " "
y[1] (numeric) = 1.3839576564716087 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.6315058458791250000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.33999999999993785 " "
y[1] (analytic) = 1.397245334471571 " "
y[1] (numeric) = 1.397245334471649 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.577950729616249000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.34999999999993786 " "
y[1] (analytic) = 1.4106272871525376 " "
y[1] (numeric) = 1.4106272871526155 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.5250353540239040000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.35999999999993787 " "
y[1] (analytic) = 1.4241031763219811 " "
y[1] (numeric) = 1.424103176322059 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.472753493182628000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3699999999999379 " "
y[1] (analytic) = 1.437672654393881 " "
y[1] (numeric) = 1.4376726543939589 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.421098891356760000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3799999999999379 " "
y[1] (analytic) = 1.4513353644234046 " "
y[1] (numeric) = 1.4513353644234825 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.370065268109107000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3899999999999379 " "
y[1] (analytic) = 1.4650909401426013 " "
y[1] (numeric) = 1.4650909401426793 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.31964632319002000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3999999999999379 " "
y[1] (analytic) = 1.4789390059970287 " "
y[1] (numeric) = 1.4789390059971066 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.2698357412072050000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4099999999999379 " "
y[1] (analytic) = 1.492879177183308 " "
y[1] (numeric) = 1.492879177183386 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.2206271960826050000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4199999999999379 " "
y[1] (analytic) = 1.5069110596876045 " "
y[1] (numeric) = 1.5069110596876822 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 5.1572792716692950000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42999999999993793 " "
y[1] (analytic) = 1.5210342503250271 " "
y[1] (numeric) = 1.5210342503251049 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 5.109392619341350000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.43999999999993794 " "
y[1] (analytic) = 1.535248336779948 " "
y[1] (numeric) = 1.535248336780026 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.07655044864947100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.44999999999993795 " "
y[1] (analytic) = 1.5495528976472341 " "
y[1] (numeric) = 1.549552897647312 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.029686721055004000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.45999999999993796 " "
y[1] (analytic) = 1.5639475024743852 " "
y[1] (numeric) = 1.5639475024744631 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.983393381515533000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.46999999999993797 " "
y[1] (analytic) = 1.578431711804581 " "
y[1] (numeric) = 1.578431711804659 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.9376641222940104000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.479999999999938 " "
y[1] (analytic) = 1.5930050772206252 " "
y[1] (numeric) = 1.5930050772207032 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.892492650724422000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.489999999999938 " "
y[1] (analytic) = 1.6076671413897874 " "
y[1] (numeric) = 1.6076671413898653 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.847872692186198700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.499999999999938 " "
y[1] (analytic) = 1.6224174381095355 " "
y[1] (numeric) = 1.6224174381096135 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.8037979929197555000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.509999999999938 " "
y[1] (analytic) = 1.6372554923541562 " "
y[1] (numeric) = 1.6372554923542344 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 4.773824323608024000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.519999999999938 " "
y[1] (analytic) = 1.6521808203222572 " "
y[1] (numeric) = 1.6521808203223352 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.717259477294034000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.529999999999938 " "
y[1] (analytic) = 1.6671929294851457 " "
y[1] (numeric) = 1.6671929294852235 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 4.661464810060148000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.539999999999938 " "
y[1] (analytic) = 1.6822913186360817 " "
y[1] (numeric) = 1.6822913186361599 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 4.646026527496975000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.549999999999938 " "
y[1] (analytic) = 1.6974754779404 " "
y[1] (numeric) = 1.6974754779404777 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 4.5783054149362873000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.559999999999938 " "
y[1] (analytic) = 1.7127448889864887 " "
y[1] (numeric) = 1.7127448889865668 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 4.563417554838641000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.569999999999938 " "
y[1] (analytic) = 1.7280990248376358 " "
y[1] (numeric) = 1.7280990248377137 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.510022586003638000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.579999999999938 " "
y[1] (analytic) = 1.743537350084717 " "
y[1] (numeric) = 1.743537350084795 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.470088141495739400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.589999999999938 " "
y[1] (analytic) = 1.7590593208997403 " "
y[1] (numeric) = 1.759059320899818 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 4.418021086634545000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.599999999999938 " "
y[1] (analytic) = 1.7746643850902246 " "
y[1] (numeric) = 1.7746643850903028 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 4.404196173105561000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.609999999999938 " "
y[1] (analytic) = 1.790351982154423 " "
y[1] (numeric) = 1.790351982154501 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 4.365605295086021000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.619999999999938 " "
y[1] (analytic) = 1.806121543337368 " "
y[1] (numeric) = 1.8061215433374462 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 4.3274884363090427000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.629999999999938 " "
y[1] (analytic) = 1.8219724916877498 " "
y[1] (numeric) = 1.8219724916878277 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.277652746364458700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.582294584817477 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6399999999999381 " "
y[1] (analytic) = 1.8379042421156084 " "
y[1] (numeric) = 1.8379042421156864 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.240572198634902000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.89087644441734 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6499999999999381 " "
y[1] (analytic) = 1.8539162014508448 " "
y[1] (numeric) = 1.8539162014509227 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.20394709683713000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.204087982671563 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6599999999999381 " "
y[1] (analytic) = 1.8700077685025351 " "
y[1] (numeric) = 1.870007768502613 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.167771794397245000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.522098256871287 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6699999999999381 " "
y[1] (analytic) = 1.8861783341190503 " "
y[1] (numeric) = 1.8861783341191285 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 4.143812889787854000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.845083494563122 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6799999999999381 " "
y[1] (analytic) = 1.902427281248971 " "
y[1] (numeric) = 1.9024272812490493 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 4.108419896202184500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.173227502849244 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6899999999999381 " "
y[1] (analytic) = 1.9187539850027924 " "
y[1] (numeric) = 1.91875398500287 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 4.050316628978772000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.506722105378422 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6999999999999381 " "
y[1] (analytic) = 1.9351578127154099 " "
y[1] (numeric) = 1.9351578127154878 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.027457389602971000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.845767609259468 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7099999999999381 " "
y[1] (analytic) = 1.9516381240093899 " "
y[1] (numeric) = 1.9516381240094676 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.982070793129631000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.190573304336663 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7199999999999381 " "
y[1] (analytic) = 1.9681942708590023 " "
y[1] (numeric) = 1.9681942708590803 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 3.959855868022151000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.541357997494497 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7299999999999381 " "
y[1] (analytic) = 1.9848255976550266 " "
y[1] (numeric) = 1.9848255976551044 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.91548818271883040000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.898350584914052 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7399999999999382 " "
y[1] (analytic) = 2.0015314412703087 " "
y[1] (numeric) = 2.0015314412703864 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.882807440408596000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.261790665483748 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7499999999999382 " "
y[1] (analytic) = 2.018311131126075 " "
y[1] (numeric) = 2.018311131126153 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.850526835295266500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.631929198879128 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7599999999999382 " "
y[1] (analytic) = 2.0351639892589906 " "
y[1] (numeric) = 2.0351639892590683 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.8186412561307875000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 19.009029212173708 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7699999999999382 " "
y[1] (analytic) = 2.052089330388952 " "
y[1] (numeric) = 2.0520893303890295 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.787145645800458000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 19.39336655922741 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7799999999999382 " "
y[1] (analytic) = 2.0690864619876175 " "
y[1] (numeric) = 2.069086461987695 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.756035001510055000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 19.20624555968389 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7899999999999382 " "
y[1] (analytic) = 2.086154684347658 " "
y[1] (numeric) = 2.086154684347736 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.725304374927628000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.82593002194587 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7999999999999382 " "
y[1] (analytic) = 2.1032932906527284 " "
y[1] (numeric) = 2.103293290652806 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.694948872282237700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.453077412361306 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8099999999999382 " "
y[1] (analytic) = 2.1205015670481466 " "
y[1] (numeric) = 2.120501567048224 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.64402100496804000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 18.08739777489129 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8199999999999382 " "
y[1] (analytic) = 2.1377787927122793 " "
y[1] (numeric) = 2.137778792712357 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.6353439368326910000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.72861501967127 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8299999999999382 " "
y[1] (analytic) = 2.1551242399286257 " "
y[1] (numeric) = 2.155124239928703 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.5854787896808216000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.37646608256867 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8399999999999382 " "
y[1] (analytic) = 2.172537174158584 " "
y[1] (numeric) = 2.1725371741586614 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.5567410966782590000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.030700144631307 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8499999999999382 " "
y[1] (analytic) = 2.19001685411491 " "
y[1] (numeric) = 2.190016854114987 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.5283528694641025000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.691077906490307 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8599999999999383 " "
y[1] (analytic) = 2.2075625318358396 " "
y[1] (numeric) = 2.207562531835917 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.50030956765926000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.357370913240096 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8699999999999383 " "
y[1] (analytic) = 2.22517345275989 " "
y[1] (numeric) = 2.225173452759967 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.4726067047973620000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 16.029360925730234 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8799999999999383 " "
y[1] (analytic) = 2.2428488558013107 " "
y[1] (numeric) = 2.242848855801388 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.445239848153023300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.706839334572361 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8899999999999383 " "
y[1] (analytic) = 2.2605879734261936 " "
y[1] (numeric) = 2.260587973426271 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.418204618544289000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.389606613498632 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8999999999999383 " "
y[1] (analytic) = 2.2783900317292254 " "
y[1] (numeric) = 2.2783900317293027 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.3914966901107920000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 15.077471809005935 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9099999999999383 " "
y[1] (analytic) = 2.296254250511078 " "
y[1] (numeric) = 2.296254250511155 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.36511179006908970000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.770252063490437 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9199999999999383 " "
y[1] (analytic) = 2.3141798433564262 " "
y[1] (numeric) = 2.3141798433565035 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.3390456984465950000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.467772169319034 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9299999999999383 " "
y[1] (analytic) = 2.332166017712591 " "
y[1] (numeric) = 2.3321660177126677 " "
absolute error = 7.68274333040608300000000000000E-14 " "
relative error = 3.2942523268310830000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 14.169864151504429 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9399999999999383 " "
y[1] (analytic) = 2.3502119749687904 " "
y[1] (numeric) = 2.3502119749688672 " "
absolute error = 7.68274333040608300000000000000E-14 " "
relative error = 3.2689576141352555000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 13.876366876848618 " "
"Order of pole (ratio test) Not computed"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9499999999999383 " "
y[1] (analytic) = 2.368316910536005 " "
y[1] (numeric) = 2.3683169105360817 " "
absolute error = 7.68274333040608300000000000000E-14 " "
relative error = 3.2439676025736360000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9599999999999383 " "
y[1] (analytic) = 2.386480013927431 " "
y[1] (numeric) = 2.386480013927508 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.237886848536608000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9699999999999384 " "
y[1] (analytic) = 2.404700468839533 " "
y[1] (numeric) = 2.4047004688396103 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.213353326753448000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9799999999999384 " "
y[1] (analytic) = 2.4229774532336696 " "
y[1] (numeric) = 2.422977453233747 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.1891143853107456000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9899999999999384 " "
y[1] (analytic) = 2.441310139418299 " "
y[1] (numeric) = 2.4413101394183765 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.165166164931535000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9999999999999384 " "
y[1] (analytic) = 2.4596976941317465 " "
y[1] (numeric) = 2.459697694131824 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.1415048564001324000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0099999999999383 " "
y[1] (analytic) = 2.4781392786255303 " "
y[1] (numeric) = 2.4781392786256076 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.11812670015741030000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0199999999999383 " "
y[1] (analytic) = 2.496634048748236 " "
y[1] (numeric) = 2.496634048748313 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.095027985885771000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0299999999999383 " "
y[1] (analytic) = 2.5151811550299303 " "
y[1] (numeric) = 2.515181155030007 " "
absolute error = 7.68274333040608300000000000000E-14 " "
relative error = 3.054548701210613000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0399999999999383 " "
y[1] (analytic) = 2.5337797427671065 " "
y[1] (numeric) = 2.5337797427671838 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.0496542856374610000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0499999999999383 " "
y[1] (analytic) = 2.5524289521081576 " "
y[1] (numeric) = 2.552428952108235 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.0273721213704740000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0599999999999383 " "
y[1] (analytic) = 2.571127918139357 " "
y[1] (numeric) = 2.571127918139434 " "
absolute error = 7.68274333040608300000000000000E-14 " "
relative error = 2.988082886193324000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0699999999999383 " "
y[1] (analytic) = 2.58987577097135 " "
y[1] (numeric) = 2.5898757709714273 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.983599575702030600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0799999999999383 " "
y[1] (analytic) = 2.608671635826144 " "
y[1] (numeric) = 2.608671635826221 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.962102299603517000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0899999999999384 " "
y[1] (analytic) = 2.6275146331245827 " "
y[1] (numeric) = 2.62751463312466 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.940859835365457000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0999999999999384 " "
y[1] (analytic) = 2.646403878574306 " "
y[1] (numeric) = 2.6464038785743833 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.9198688506887804000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1099999999999384 " "
y[1] (analytic) = 2.6653384832581763 " "
y[1] (numeric) = 2.6653384832582536 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.8991260584453893000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1199999999999384 " "
y[1] (analytic) = 2.6843175537231705 " "
y[1] (numeric) = 2.684317553723248 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.895172056523967000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1299999999999384 " "
y[1] (analytic) = 2.7033401920697253 " "
y[1] (numeric) = 2.7033401920698026 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.8583721257349576000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1399999999999384 " "
y[1] (analytic) = 2.7224054960415245 " "
y[1] (numeric) = 2.7224054960416018 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.8383546325580983000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1499999999999384 " "
y[1] (analytic) = 2.7415125591157246 " "
y[1] (numeric) = 2.7415125591158023 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.83477131867775000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1599999999999384 " "
y[1] (analytic) = 2.760660470593609 " "
y[1] (numeric) = 2.7606604705936864 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.7990230358641550000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1699999999999384 " "
y[1] (analytic) = 2.779848315691652 " "
y[1] (numeric) = 2.779848315691729 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.7797028376595084000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1799999999999384 " "
y[1] (analytic) = 2.799075175633 " "
y[1] (numeric) = 2.799075175633077 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.7606090463946270000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1899999999999384 " "
y[1] (analytic) = 2.818340127739348 " "
y[1] (numeric) = 2.8183401277394258 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.7574958380235790000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1999999999999384 " "
y[1] (analytic) = 2.8376422455232078 " "
y[1] (numeric) = 2.837642245523285 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.723088953014352600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2099999999999385 " "
y[1] (analytic) = 2.8569805987805506 " "
y[1] (numeric) = 2.8569805987806283 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.7202008917012750000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2199999999999385 " "
y[1] (analytic) = 2.8763542536838336 " "
y[1] (numeric) = 2.8763542536839113 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.7018790061838954000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2299999999999385 " "
y[1] (analytic) = 2.895762272875378 " "
y[1] (numeric) = 2.8957622728754555 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.683770434186658000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2399999999999385 " "
y[1] (analytic) = 2.915203715561104 " "
y[1] (numeric) = 2.915203715561182 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.6658724160140773000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2499999999999385 " "
y[1] (analytic) = 2.9346776376046115 " "
y[1] (numeric) = 2.9346776376046892 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.6481822305769576000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2599999999999385 " "
y[1] (analytic) = 2.9541830916215908 " "
y[1] (numeric) = 2.9541830916216685 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.6306971949088576000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2699999999999385 " "
y[1] (analytic) = 2.973719127074561 " "
y[1] (numeric) = 2.973719127074639 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.6134146636846234000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2799999999999385 " "
y[1] (analytic) = 2.993284790367924 " "
y[1] (numeric) = 2.9932847903680018 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.5963320287411884000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2899999999999385 " "
y[1] (analytic) = 3.0128791249433218 " "
y[1] (numeric) = 3.0128791249433995 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.5794467186008646000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2999999999999385 " "
y[1] (analytic) = 3.0325011713752916 " "
y[1] (numeric) = 3.0325011713753693 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.562756197997298000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3099999999999385 " "
y[1] (analytic) = 3.0521499674672095 " "
y[1] (numeric) = 3.0521499674672867 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.5317079218762556000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3199999999999386 " "
y[1] (analytic) = 3.071824548347506 " "
y[1] (numeric) = 3.0718245483475832 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.5154927079243267000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3299999999999386 " "
y[1] (analytic) = 3.0915239465661557 " "
y[1] (numeric) = 3.091523946566233 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.4994638194453772000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3399999999999386 " "
y[1] (analytic) = 3.1112471921914193 " "
y[1] (numeric) = 3.1112471921914966 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.483618875023697000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3499999999999386 " "
y[1] (analytic) = 3.130993312906837 " "
y[1] (numeric) = 3.1309933129069143 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.4679555269369594000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3599999999999386 " "
y[1] (analytic) = 3.1507613341084593 " "
y[1] (numeric) = 3.1507613341085365 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.452471460704137300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3699999999999386 " "
y[1] (analytic) = 3.1705502790023052 " "
y[1] (numeric) = 3.170550279002383 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.451171086560285000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3799999999999386 " "
y[1] (analytic) = 3.1903591687020443 " "
y[1] (numeric) = 3.1903591687021216 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.4220320793958694000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3899999999999386 " "
y[1] (analytic) = 3.2101870223268785 " "
y[1] (numeric) = 3.210187022326956 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.4209060463844692000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3999999999999386 " "
y[1] (analytic) = 3.230032857099637 " "
y[1] (numeric) = 3.2300328570997148 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.4060316152184472000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4099999999999386 " "
y[1] (analytic) = 3.249895688445047 " "
y[1] (numeric) = 3.2498956884451244 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.377661621222138800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4199999999999386 " "
y[1] (analytic) = 3.269774530088192 " "
y[1] (numeric) = 3.2697745300882697 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.3767880937547345000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4299999999999387 " "
y[1] (analytic) = 3.289668394153141 " "
y[1] (numeric) = 3.2896683941532188 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.3624147607670126000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4399999999999387 " "
y[1] (analytic) = 3.3095762912617324 " "
y[1] (numeric) = 3.30957629126181 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.3482042679890272000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4499999999999387 " "
y[1] (analytic) = 3.3294972306325112 " "
y[1] (numeric) = 3.329497230632589 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.334154568706374000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4599999999999387 " "
y[1] (analytic) = 3.349430220179808 " "
y[1] (numeric) = 3.349430220179886 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.3202636453070800000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4699999999999387 " "
y[1] (analytic) = 3.369374266612946 " "
y[1] (numeric) = 3.3693742666130237 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.3065295088718166000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4799999999999387 " "
y[1] (analytic) = 3.389328375535568 " "
y[1] (numeric) = 3.3893283755356456 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.292950198768529000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4899999999999387 " "
y[1] (analytic) = 3.409291551545077 " "
y[1] (numeric) = 3.4092915515451545 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.2795237822514935000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4999999999999387 " "
y[1] (analytic) = 3.4292627983321746 " "
y[1] (numeric) = 3.4292627983322523 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.2662483540648454000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5099999999999387 " "
y[1] (analytic) = 3.449241118780492 " "
y[1] (numeric) = 3.449241118780569 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.2402470529874377000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5199999999999387 " "
y[1] (analytic) = 3.4692255150662983 " "
y[1] (numeric) = 3.469225515066376 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.2401429767610764000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5299999999999387 " "
y[1] (analytic) = 3.4892149887582864 " "
y[1] (numeric) = 3.489214988758364 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.2273093510760644000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5399999999999388 " "
y[1] (analytic) = 3.5092085409174114 " "
y[1] (numeric) = 3.509208540917489 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.2146193598241895000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5499999999999388 " "
y[1] (analytic) = 3.529205172196785 " "
y[1] (numeric) = 3.5292051721968627 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.202071229409034000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5599999999999388 " "
y[1] (analytic) = 3.54920388294161 " "
y[1] (numeric) = 3.5492038829416876 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.1896632114396763000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5699999999999388 " "
y[1] (analytic) = 3.5692036732891443 " "
y[1] (numeric) = 3.5692036732892216 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.1649513333236745000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
"NO REAL POLE (three term test) for Equation 1"
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5799999999999388 " "
y[1] (analytic) = 3.589203543268686 " "
y[1] (numeric) = 3.5892035432687632 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.1528877251564216000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.874468381518101000E-3 " "
Order of pole (three term test) = -0.8949050896708924 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5899999999999388 " "
y[1] (analytic) = 3.60920249290157 " "
y[1] (numeric) = 3.6092024929016477 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.153262718747668000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.851326600932955000E-2 " "
Order of pole (three term test) = -0.901772189378918 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5999999999999388 " "
y[1] (analytic) = 3.629199522301166 " "
y[1] (numeric) = 3.629199522301244 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.141398158084288000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.814464333320623000E-2 " "
Order of pole (three term test) = -0.9134710156509229 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6099999999999388 " "
y[1] (analytic) = 3.6491936317728655 " "
y[1] (numeric) = 3.6491936317729428 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.1174958171888114000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.776474002235435000E-2 " "
Order of pole (three term test) = -0.9299968698554186 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6199999999999388 " "
y[1] (analytic) = 3.6691838219140482 " "
y[1] (numeric) = 3.6691838219141255 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.1059594248838104000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.73697002951862100E-2 " "
Order of pole (three term test) = -0.9513431147003886 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6299999999999388 " "
y[1] (analytic) = 3.6891690937140256 " "
y[1] (numeric) = 3.6891690937141033 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.1065884959347775000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.695567447419513000E-2 " "
Order of pole (three term test) = -0.9775011769316964 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6399999999999388 " "
y[1] (analytic) = 3.7091484486539397 " "
y[1] (numeric) = 3.709148448654017 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.0832685341012153000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.65188205383088300E-2 " "
Order of pole (three term test) = -1.0084605508184732 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6499999999999388 " "
y[1] (analytic) = 3.7291208888066114 " "
y[1] (numeric) = 3.7291208888066887 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.0721109563878803000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.60553056720803100E-2 " "
Order of pole (three term test) = -1.044208802424005 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6599999999999389 " "
y[1] (analytic) = 3.749085416936337 " "
y[1] (numeric) = 3.749085416936414 " "
absolute error = 7.68274333040608300000000000000E-14 " "
relative error = 2.049231339382029000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.5561307811076690E-2 " "
Order of pole (three term test) = -1.084731574660294 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6699999999999389 " "
y[1] (analytic) = 3.7690410365986065 " "
y[1] (numeric) = 3.769041036598683 " "
absolute error = 7.63833440942107700000000000000E-14 " "
relative error = 2.026598897504798000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.50330171828282200E-2 " "
Order of pole (three term test) = -1.130012593124149 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6799999999999389 " "
y[1] (analytic) = 3.788986752239749 " "
y[1] (numeric) = 3.788986752239826 " "
absolute error = 7.68274333040608300000000000000E-14 " "
relative error = 2.0276511460127578000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10446663784270156 " "
Order of pole (three term test) = -1.180033672712316 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6899999999999389 " "
y[1] (analytic) = 3.8089215692964906 " "
y[1] (numeric) = 3.808921569296567 " "
absolute error = 7.63833440942107700000000000000E-14 " "
relative error = 2.0053798090759534000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11385838920406281 " "
Order of pole (three term test) = -1.234774725012833 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.699999999999939 " "
y[1] (analytic) = 3.828844494295403 " "
y[1] (numeric) = 3.8288444942954794 " "
absolute error = 7.63833440942107700000000000000E-14 " "
relative error = 1.99494506000477020000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12320450756210123 " "
Order of pole (three term test) = -1.2942137664694666 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.709999999999939 " "
y[1] (analytic) = 3.8487545349522563 " "
y[1] (numeric) = 3.848754534952332 " "
absolute error = 7.59392548843607100000000000000E-14 " "
relative error = 1.973086467186267000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13250124761068247 " "
Order of pole (three term test) = -1.3583269273157477 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.719999999999939 " "
y[1] (analytic) = 3.868650700271242 " "
y[1] (numeric) = 3.8686507002713184 " "
absolute error = 7.63833440942107700000000000000E-14 " "
relative error = 1.9744182148275968000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14174488395161014 " "
Order of pole (three term test) = -1.4270884612748262 " "
"NO COMPLEX POLE (six term test) for Equation 1"
"Finished!"
"Maximum Time Reached before Solution Completed!"
"diff ( y , x , 1 ) = 1.0 + sin(x);"
Iterations = 673
"Total Elapsed Time "= 0 Years 0 Days 0 Hours 3 Minutes 0 Seconds
"Elapsed Time(since restart) "= 0 Years 0 Days 0 Hours 2 Minutes 57 Seconds
"Expected Time Remaining "= 0 Years 0 Days 0 Hours 1 Minutes 27 Seconds
"Optimized Time Remaining "= 0 Years 0 Days 0 Hours 1 Minutes 25 Seconds
"Expected Total Time "= 0 Years 0 Days 0 Hours 4 Minutes 26 Seconds
"Time to Timeout " Unknown
Percent Done = 67.39999999999938 "%"
(%o58) true
(%o58) diffeq.max