(%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_2D0 array_x ,
1 1 1
array_tmp2 : array_const_3D0 + array_tmp1 , array_tmp3 : sinh(array_tmp2 ),
1 1 1 1 1
array_tmp3_g : cosh(array_tmp2 ), array_tmp4 :
1 1 1
array_tmp3 + array_const_0D0 , if not array_y_set_initial
1 1 1, 2
then (if 1 <= glob_max_terms then (temporary :
array_tmp4 expt(glob_h, 1) factorial_3(0, 1), array_y : temporary,
1 2
temporary 1.0
array_y_higher : temporary, temporary : -------------,
1, 2 glob_h
array_y_higher : temporary, 0)), kkk : 2,
2, 1
array_tmp1 : array_const_2D0 array_x , array_tmp2 : array_tmp1 ,
2 1 2 2 2
array_tmp3_g array_tmp2
1 2
array_tmp3 : -------------------------,
2 1
array_tmp3 array_tmp2
1 2
array_tmp3_g : -----------------------, array_tmp4 : array_tmp3 ,
2 1 2 2
if not array_y_set_initial then (if 2 <= glob_max_terms
1, 3
then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(1, 2),
2
array_y : temporary, array_y_higher : temporary,
3 1, 3
temporary 2.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 3,
glob_h 2, 2
array_tmp3_g array_tmp2
2 2
array_tmp3 : -------------------------,
3 2
array_tmp3 array_tmp2
2 2
array_tmp3_g : -----------------------, array_tmp4 : array_tmp3 ,
3 2 3 3
if not array_y_set_initial then (if 3 <= glob_max_terms
1, 4
then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(2, 3),
3
array_y : temporary, array_y_higher : temporary,
4 1, 4
temporary 3.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 4,
glob_h 2, 3
array_tmp3_g array_tmp2
3 2
array_tmp3 : -------------------------,
4 3
array_tmp3 array_tmp2
3 2
array_tmp3_g : -----------------------, array_tmp4 : array_tmp3 ,
4 3 4 4
if not array_y_set_initial then (if 4 <= glob_max_terms
1, 5
then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(3, 4),
4
array_y : temporary, array_y_higher : temporary,
5 1, 5
temporary 4.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 5,
glob_h 2, 4
array_tmp3_g array_tmp2
4 2
array_tmp3 : -------------------------,
5 4
array_tmp3 array_tmp2
4 2
array_tmp3_g : -----------------------, array_tmp4 : array_tmp3 ,
5 4 5 5
if not array_y_set_initial then (if 5 <= glob_max_terms
1, 6
then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(4, 5),
5
array_y : temporary, array_y_higher : temporary,
6 1, 6
temporary 5.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 6,
glob_h 2, 5
while kkk <= glob_max_terms do (array_tmp3 :
kkk
array_tmp3_g array_tmp2
kkk - 1 2
-------------------------------, array_tmp3_g :
kkk - 1 kkk
- array_tmp3 array_tmp2
kkk - 1 2
-------------------------------, array_tmp4 : array_tmp3 , order_d : 1,
kkk - 1 kkk kkk
if order_d + kkk < glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
then (temporary : array_tmp4 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_2D0 array_x ,
1 1 1
array_tmp2 : array_const_3D0 + array_tmp1 , array_tmp3 : sinh(array_tmp2 ),
1 1 1 1 1
array_tmp3_g : cosh(array_tmp2 ), array_tmp4 :
1 1 1
array_tmp3 + array_const_0D0 , if not array_y_set_initial
1 1 1, 2
then (if 1 <= glob_max_terms then (temporary :
array_tmp4 expt(glob_h, 1) factorial_3(0, 1), array_y : temporary,
1 2
temporary 1.0
array_y_higher : temporary, temporary : -------------,
1, 2 glob_h
array_y_higher : temporary, 0)), kkk : 2,
2, 1
array_tmp1 : array_const_2D0 array_x , array_tmp2 : array_tmp1 ,
2 1 2 2 2
array_tmp3_g array_tmp2
1 2
array_tmp3 : -------------------------,
2 1
array_tmp3 array_tmp2
1 2
array_tmp3_g : -----------------------, array_tmp4 : array_tmp3 ,
2 1 2 2
if not array_y_set_initial then (if 2 <= glob_max_terms
1, 3
then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(1, 2),
2
array_y : temporary, array_y_higher : temporary,
3 1, 3
temporary 2.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 3,
glob_h 2, 2
array_tmp3_g array_tmp2
2 2
array_tmp3 : -------------------------,
3 2
array_tmp3 array_tmp2
2 2
array_tmp3_g : -----------------------, array_tmp4 : array_tmp3 ,
3 2 3 3
if not array_y_set_initial then (if 3 <= glob_max_terms
1, 4
then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(2, 3),
3
array_y : temporary, array_y_higher : temporary,
4 1, 4
temporary 3.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 4,
glob_h 2, 3
array_tmp3_g array_tmp2
3 2
array_tmp3 : -------------------------,
4 3
array_tmp3 array_tmp2
3 2
array_tmp3_g : -----------------------, array_tmp4 : array_tmp3 ,
4 3 4 4
if not array_y_set_initial then (if 4 <= glob_max_terms
1, 5
then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(3, 4),
4
array_y : temporary, array_y_higher : temporary,
5 1, 5
temporary 4.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 5,
glob_h 2, 4
array_tmp3_g array_tmp2
4 2
array_tmp3 : -------------------------,
5 4
array_tmp3 array_tmp2
4 2
array_tmp3_g : -----------------------, array_tmp4 : array_tmp3 ,
5 4 5 5
if not array_y_set_initial then (if 5 <= glob_max_terms
1, 6
then (temporary : array_tmp4 expt(glob_h, 1) factorial_3(4, 5),
5
array_y : temporary, array_y_higher : temporary,
6 1, 6
temporary 5.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 6,
glob_h 2, 5
while kkk <= glob_max_terms do (array_tmp3 :
kkk
array_tmp3_g array_tmp2
kkk - 1 2
-------------------------------, array_tmp3_g :
kkk - 1 kkk
- array_tmp3 array_tmp2
kkk - 1 2
-------------------------------, array_tmp4 : array_tmp3 , order_d : 1,
kkk - 1 kkk kkk
if order_d + kkk < glob_max_terms
then (if not array_y_set_initial
1, order_d + kkk
then (temporary : array_tmp4 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)
cosh(3.0 + 2.0 x)
(%i56) exact_soln_y(x) := block(-----------------)
2.0
cosh(3.0 + 2.0 x)
(%o56) exact_soln_y(x) := block(-----------------)
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/lin_sinhpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;"),
omniout_str(ALWAYS, "!"), omniout_str(ALWAYS,
"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits:32,"),
omniout_str(ALWAYS, "max_terms:30,"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "x_start:0.0,"), omniout_str(ALWAYS, "x_end:10.0,"),
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: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, " (cosh(2.0*x+3.0)/2.0) "), omniout_str(ALWAYS, "));"),
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, 1 + max_terms),
array(array_tmp3_g, 1 + max_terms), array(array_tmp3, 1 + max_terms),
array(array_tmp4, 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 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp3_g : 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_tmp4 : 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, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term),
term
array(array_tmp3_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp3_g : 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_tmp4, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp4 : 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_2D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_2D0 : 0.0, term : 1 + term),
term
array_const_2D0 : 2.0, array(array_const_3D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_3D0 : 0.0, term : 1 + term),
term
array_const_3D0 : 3.0, 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), x_start : 0.0,
iiif, jjjf
x_end : 10.0, array_y_init : exact_soln_y(x_start),
1 + 0
glob_look_poles : true, glob_max_iter : 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 ) = sinh (2.0 * x + 3.0) ;"),
omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "),
prog_report(x_start, x_end), if glob_html_log
then (logstart(html_log_file), logitem_str(html_log_file,
"2013-05-26T02:44:18-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "lin_sinh"),
logitem_str(html_log_file, "diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;"),
logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end),
logitem_float(html_log_file, array_x ), 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, "lin_sinh diffeq.max"),
logitem_str(html_log_file,
"lin_sinh 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/lin_sinhpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;"),
omniout_str(ALWAYS, "!"), omniout_str(ALWAYS,
"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits:32,"),
omniout_str(ALWAYS, "max_terms:30,"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "x_start:0.0,"), omniout_str(ALWAYS, "x_end:10.0,"),
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: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, " (cosh(2.0*x+3.0)/2.0) "), omniout_str(ALWAYS, "));"),
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, 1 + max_terms),
array(array_tmp3_g, 1 + max_terms), array(array_tmp3, 1 + max_terms),
array(array_tmp4, 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 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp3_g : 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_tmp4 : 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, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp2 : 0.0, term : 1 + term),
term
array(array_tmp3_g, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp3_g : 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_tmp4, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp4 : 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_2D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_2D0 : 0.0, term : 1 + term),
term
array_const_2D0 : 2.0, array(array_const_3D0, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_3D0 : 0.0, term : 1 + term),
term
array_const_3D0 : 3.0, 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), x_start : 0.0,
iiif, jjjf
x_end : 10.0, array_y_init : exact_soln_y(x_start),
1 + 0
glob_look_poles : true, glob_max_iter : 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 ) = sinh (2.0 * x + 3.0) ;"),
omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "),
prog_report(x_start, x_end), if glob_html_log
then (logstart(html_log_file), logitem_str(html_log_file,
"2013-05-26T02:44:18-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "lin_sinh"),
logitem_str(html_log_file, "diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;"),
logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end),
logitem_float(html_log_file, array_x ), 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, "lin_sinh diffeq.max"),
logitem_str(html_log_file,
"lin_sinh 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/lin_sinhpostode.ode#################"
"diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;"
"!"
"/* BEGIN FIRST INPUT BLOCK */"
"Digits:32,"
"max_terms:30,"
"!"
"/* END FIRST INPUT BLOCK */"
"/* BEGIN SECOND INPUT BLOCK */"
"x_start:0.0,"
"x_end:10.0,"
"array_y_init[0 + 1] : exact_soln_y(x_start),"
"glob_look_poles:true,"
"glob_max_iter: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("
" (cosh(2.0*x+3.0)/2.0) "
"));"
""
"/* END USER DEF BLOCK */"
"#######END OF ECHO OF PROBLEM#################"
"START of Optimize"
min_size = 0.0 ""
min_size = 1. ""
glob_desired_digits_correct = 10. ""
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 = 8.3764398691415990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-175 ""
estimated_step_error = 8.3764398691415990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-175 ""
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 = 5.62133343265602900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-167 ""
estimated_step_error = 5.62133343265602900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-167 ""
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 = 3.7724127302514750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-159 ""
estimated_step_error = 3.7724127302514750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-159 ""
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 = 2.53162295546236650000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-151 ""
estimated_step_error = 2.53162295546236650000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-151 ""
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 = 1.698942905272192400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-143 ""
estimated_step_error = 1.698942905272192400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-143 ""
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 = 1.1401406114371335000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-135 ""
estimated_step_error = 1.1401406114371335000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-135 ""
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 = 7.65134509991269300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-128 ""
estimated_step_error = 7.65134509991269300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-128 ""
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 = 5.1347186661350030000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-120 ""
estimated_step_error = 5.1347186661350030000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-120 ""
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 = 3.4458351110354657000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-112 ""
estimated_step_error = 3.4458351110354657000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-112 ""
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 = 2.312438980394838400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-104 ""
estimated_step_error = 2.312438980394838400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-104 ""
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 = 1.5518222460934017000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-96 ""
estimated_step_error = 1.5518222460934017000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-96 ""
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 = 1.0413709737063140000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-88 ""
estimated_step_error = 1.0413709737063140000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-88 ""
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 = 6.987994677735304000000000000000000000000000000000000000000000000000000000000000000000000000000000E-81 ""
estimated_step_error = 6.987994677735304000000000000000000000000000000000000000000000000000000000000000000000000000000000E-81 ""
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 = 4.688855519419090000000000000000000000000000000000000000000000000000000000000000000000000E-73 ""
estimated_step_error = 4.688855519419090000000000000000000000000000000000000000000000000000000000000000000000000E-73 ""
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 = 3.145686556597941000000000000000000000000000000000000000000000000000000000000000000E-65 ""
estimated_step_error = 3.145686556597941000000000000000000000000000000000000000000000000000000000000000000E-65 ""
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 = 2.1097568203529307000000000000000000000000000000000000000000000000000000000E-57 ""
estimated_step_error = 2.1097568203529307000000000000000000000000000000000000000000000000000000000E-57 ""
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 = 1.4141159250798030000000000000000000000000000000000000000000000000E-49 ""
estimated_step_error = 1.4141159250798030000000000000000000000000000000000000000000000000E-49 ""
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 = 9.4668328614345010000000000000000000000000000000000000000E-42 ""
estimated_step_error = 9.4668328614345010000000000000000000000000000000000000000E-42 ""
best_h = 0.1 ""
"START of Soultion"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.0 " "
y[1] (analytic) = 5.033830997888883 " "
y[1] (numeric) = 5.033830997888883 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.547213321480045 " "
"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] = 1.00E-2 " "
y[1] (analytic) = 5.135023225638738 " "
y[1] (numeric) = 5.135023225638736 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 5.188944902520743000000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.545357641253545 " "
"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] = 2.00E-2 " "
y[1] (analytic) = 5.238269531146739 " "
y[1] (numeric) = 5.2382695311467335 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.01733415711316680000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.543575063849277 " "
"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] = 3.00E-2 " "
y[1] (analytic) = 5.343611214311723 " "
y[1] (numeric) = 5.343611214311715 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 1.49591829508328720000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.541862696592762 " "
"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] = 4.00E-2 " "
y[1] (analytic) = 5.4510904132115305 " "
y[1] (numeric) = 5.451090413211520 " "
absolute error = 9.769962616701378000000000000000E-15 " "
relative error = 1.7922950962292640000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.54021776226284 " "
"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] = 5.00E-2 " "
y[1] (analytic) = 5.560750120958798 " "
y[1] (numeric) = 5.560750120958786 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 2.2361187978822120000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.538637594407417 " "
"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] = 6.000000000000001000E-2 " "
y[1] (analytic) = 5.672634202898773 " "
y[1] (numeric) = 5.672634202898757 " "
absolute error = 1.598721155460225400000000000000E-14 " "
relative error = 2.8183046857547467000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.537119632855187 " "
"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] = 7.00E-2 " "
y[1] (analytic) = 5.786787414156038 " "
y[1] (numeric) = 5.786787414156020 " "
absolute error = 1.86517468137026300000000000000E-14 " "
relative error = 3.22316087991679900000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.53566141941455 " "
"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] = 8.00E-2 " "
y[1] (analytic) = 5.90325541753716 " "
y[1] (numeric) = 5.903255417537138 " "
absolute error = 2.22044604925031300000000000000E-14 " "
relative error = 3.76139247279373870000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.534260593751622 " "
"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] = 9.00E-2 " "
y[1] (analytic) = 6.022084801796418 " "
y[1] (numeric) = 6.022084801796393 " "
absolute error = 2.486899575160350700000000000000E-14 " "
relative error = 4.1296322735583130000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.532914889439411 " "
"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] = 9.99999999999999900E-2 " "
y[1] (analytic) = 6.14332310027193 " "
y[1] (numeric) = 6.1433231002719015 " "
absolute error = 2.84217094304040100000000000000E-14 " "
relative error = 4.6264389755352340000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.531622130170687 " "
"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] = 0.10999999999999999 " "
y[1] (analytic) = 6.267018809899614 " "
y[1] (numeric) = 6.267018809899586 " "
absolute error = 2.84217094304040100000000000000E-14 " "
relative error = 4.53512432187183230000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.53038022612758 " "
"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] = 0.11999999999999998 " "
y[1] (analytic) = 6.393221410612626 " "
y[1] (numeric) = 6.393221410612594 " "
absolute error = 3.19744231092045100000000000000E-14 " "
relative error = 5.0013007614795850000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.529187170500979 " "
"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] = 0.12999999999999998 " "
y[1] (analytic) = 6.521981385133972 " "
y[1] (numeric) = 6.5219813851339365 " "
absolute error = 3.55271367880050100000000000000E-14 " "
relative error = 5.4472919639090970000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.528041036153306 " "
"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] = 0.13999999999999999 " "
y[1] (analytic) = 6.653350239170282 " "
y[1] (numeric) = 6.653350239170244 " "
absolute error = 3.819167204710538500000000000000E-14 " "
relative error = 5.7402166839586290000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.52693997241857 " "
"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] = 0.15 " "
y[1] (analytic) = 6.7873805220147805 " "
y[1] (numeric) = 6.787380522014739 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 6.1502940037778220000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.525882202033797 " "
"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] = 0.16 " "
y[1] (analytic) = 6.924125847567698 " "
y[1] (numeric) = 6.924125847567653 " "
absolute error = 4.52970994047063870000000000000E-14 " "
relative error = 6.5419231830713060000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.524866018196114 " "
"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] = 0.17 " "
y[1] (analytic) = 7.0636409157825515 " "
y[1] (numeric) = 7.063640915782503 " "
absolute error = 4.88498130835068900000000000000E-14 " "
relative error = 6.915670497117140000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.523889781740365 " "
"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] = 0.18000000000000002 " "
y[1] (analytic) = 7.205981534546853 " "
y[1] (numeric) = 7.2059815345468 " "
absolute error = 5.329070518200751000000000000000E-14 " "
relative error = 7.395343011430391000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.522951918431875 " "
"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] = 0.19000000000000003 " "
y[1] (analytic) = 7.351204642006008 " "
y[1] (numeric) = 7.351204642005952 " "
absolute error = 5.68434188608080100000000000000E-14 " "
relative error = 7.7325311467994310000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.522050916369754 " "
"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] = 0.20000000000000004 " "
y[1] (analytic) = 7.499368329339334 " "
y[1] (numeric) = 7.499368329339274 " "
absolute error = 6.03961325396085200000000000000E-14 " "
relative error = 8.0534959595629290000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.521185323495866 " "
"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] = 0.21000000000000005 " "
y[1] (analytic) = 7.650531863997307 " "
y[1] (numeric) = 7.650531863997243 " "
absolute error = 6.39488462184090200000000000000E-14 " "
relative error = 8.3587451637638890000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.520353745205089 " "
"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] = 0.22000000000000006 " "
y[1] (analytic) = 7.80475571340933 " "
y[1] (numeric) = 7.8047557134092616 " "
absolute error = 6.83897383169096400000000000000E-14 " "
relative error = 8.7625725683392520000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.51955484205273 " "
"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] = 0.23000000000000007 " "
y[1] (analytic) = 7.962101569171514 " "
y[1] (numeric) = 7.962101569171441 " "
absolute error = 7.28306304154102700000000000000E-14 " "
relative error = 9.1471616862316120000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.518787327554755 " "
"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] = 0.24000000000000007 " "
y[1] (analytic) = 8.122632371724137 " "
y[1] (numeric) = 8.122632371724059 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 9.62245948809580000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.518049966077244 " "
"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] = 0.25000000000000006 " "
y[1] (analytic) = 8.286412335528658 " "
y[1] (numeric) = 8.286412335528576 " "
absolute error = 8.17124146124115200000000000000E-14 " "
relative error = 9.8610123783079170000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.517341570811205 " "
"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] = 0.26000000000000006 " "
y[1] (analytic) = 8.453506974754362 " "
y[1] (numeric) = 8.453506974754275 " "
absolute error = 8.70414851306122700000000000000E-14 " "
relative error = 1.029649415213755000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.516661001829165 " "
"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] = 0.2700000000000001 " "
y[1] (analytic) = 8.623983129484897 " "
y[1] (numeric) = 8.623983129484804 " "
absolute error = 9.23705556488130200000000000000E-14 " "
relative error = 1.0710892433567439000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.516007164220214 " "
"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] = 0.2800000000000001 " "
y[1] (analytic) = 8.7979089924552 " "
y[1] (numeric) = 8.797908992455103 " "
absolute error = 9.76996261670137800000000000000E-14 " "
relative error = 1.1104868924058862000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.515379006300327 " "
"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] = 0.2900000000000001 " "
y[1] (analytic) = 8.975354136329502 " "
y[1] (numeric) = 8.9753541363294 " "
absolute error = 1.01252339845814280000000000000E-13 " "
relative error = 1.1281152621708332000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.51477551789459 " "
"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] = 0.3000000000000001 " "
y[1] (analytic) = 9.15638954153132 " "
y[1] (numeric) = 9.156389541531215 " "
absolute error = 1.04805053524614780000000000000E-13 " "
relative error = 1.1446111270085514000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.514195728688739 " "
"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] = 0.3100000000000001 " "
y[1] (analytic) = 9.341087624636573 " "
y[1] (numeric) = 9.341087624636463 " "
absolute error = 1.10134124042815530000000000000E-13 " "
relative error = 1.179028914709495000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.513638706646748 " "
"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] = 0.3200000000000001 " "
y[1] (analytic) = 9.529522267341177 " "
y[1] (numeric) = 9.529522267341061 " "
absolute error = 1.15463194561016280000000000000E-13 " "
relative error = 1.2116367570357917000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.513103556492126 " "
"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] = 0.3300000000000001 " "
y[1] (analytic) = 9.721768846014708 " "
y[1] (numeric) = 9.721768846014587 " "
absolute error = 1.20792265079217030000000000000E-13 " "
relative error = 1.2424926676664813000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.512589418250053 " "
"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] = 0.34000000000000014 " "
y[1] (analytic) = 9.917904261851957 " "
y[1] (numeric) = 9.917904261851831 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.2716530858492810000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.512095465847972 " "
"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] = 0.35000000000000014 " "
y[1] (analytic) = 10.118006971634435 " "
y[1] (numeric) = 10.118006971634303 " "
absolute error = 1.31450406115618530000000000000E-13 " "
relative error = 1.2991729150230502000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.511620905772201 " "
"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] = 0.36000000000000015 " "
y[1] (analytic) = 10.322157019114124 " "
y[1] (numeric) = 10.322157019113988 " "
absolute error = 1.36779476633819290000000000000E-13 " "
relative error = 1.3251055605968498000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.51116497577838 " "
"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] = 0.37000000000000016 " "
y[1] (analytic) = 10.530436067032054 " "
y[1] (numeric) = 10.530436067031912 " "
absolute error = 1.42108547152020040000000000000E-13 " "
relative error = 1.3495029668991910000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.510726943653388 " "
"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] = 0.38000000000000017 " "
y[1] (analytic) = 10.742927429784483 " "
y[1] (numeric) = 10.742927429784336 " "
absolute error = 1.4743761767022080000000000000E-13 " "
relative error = 1.3724156533111626000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.510306106026768 " "
"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] = 0.3900000000000002 " "
y[1] (analytic) = 10.959716106749768 " "
y[1] (numeric) = 10.959716106749616 " "
absolute error = 1.52766688188421540000000000000E-13 " "
relative error = 1.3938927495972000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.509901787229655 " "
"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] = 0.4000000000000002 " "
y[1] (analytic) = 11.18088881628925 " "
y[1] (numeric) = 11.180888816289091 " "
absolute error = 1.59872115546022540000000000000E-13 " "
relative error = 1.4298694689916558000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.509513338199106 " "
"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] = 0.4100000000000002 " "
y[1] (analytic) = 11.406534030435752 " "
y[1] (numeric) = 11.406534030435587 " "
absolute error = 1.6520118606422330000000000000E-13 " "
relative error = 1.4483031008667607000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.509140135426273 " "
"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] = 0.4200000000000002 " "
y[1] (analytic) = 11.636742010283578 " "
y[1] (numeric) = 11.636742010283406 " "
absolute error = 1.7230661342182430000000000000E-13 " "
relative error = 1.4807118115152346000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50878157994636 " "
"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] = 0.4300000000000002 " "
y[1] (analytic) = 11.871604842094145 " "
y[1] (numeric) = 11.871604842093967 " "
absolute error = 1.77635683940025050000000000000E-13 " "
relative error = 1.4963072499698382000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.508437096368839 " "
"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] = 0.4400000000000002 " "
y[1] (analytic) = 12.111216474131727 " "
y[1] (numeric) = 12.111216474131542 " "
absolute error = 1.84741111297626050000000000000E-13 " "
relative error = 1.5253720523633070000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.508106131946338 " "
"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] = 0.45000000000000023 " "
y[1] (analytic) = 12.355672754243999 " "
y[1] (numeric) = 12.355672754243807 " "
absolute error = 1.91846538655227050000000000000E-13 " "
relative error = 1.552700063129549000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.507788155680414 " "
"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] = 0.46000000000000024 " "
y[1] (analytic) = 12.60507146820247 " "
y[1] (numeric) = 12.60507146820227 " "
absolute error = 1.98951966012828050000000000000E-13 " "
relative error = 1.5783485759259985000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.507482657463031 " "
"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] = 0.47000000000000025 " "
y[1] (analytic) = 12.859512378818081 " "
y[1] (numeric) = 12.859512378817875 " "
absolute error = 2.06057393370429050000000000000E-13 " "
relative error = 1.6023733039041393000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.507189147252012 " "
"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] = 0.48000000000000026 " "
y[1] (analytic) = 13.119097265847671 " "
y[1] (numeric) = 13.119097265847458 " "
absolute error = 2.13162820728030060000000000000E-13 " "
relative error = 1.6248284192765824000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.506907154279347 " "
"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] = 0.49000000000000027 " "
y[1] (analytic) = 13.38392996670723 " "
y[1] (numeric) = 13.38392996670701 " "
absolute error = 2.20268248085631060000000000000E-13 " "
relative error = 1.6457665919767390000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.506636226290839 " "
"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] = 0.5000000000000002 " "
y[1] (analytic) = 13.654116418008243 " "
y[1] (numeric) = 13.654116418008023 " "
absolute error = 2.20268248085631060000000000000E-13 " "
relative error = 1.613200307821617800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.506375928815986 " "
"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] = 0.5100000000000002 " "
y[1] (analytic) = 13.929764697933786 " "
y[1] (numeric) = 13.929764697933551 " "
absolute error = 2.34479102800833060000000000000E-13 " "
relative error = 1.6832955034453206000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.506125844466766 " "
"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] = 0.5200000000000002 " "
y[1] (analytic) = 14.210985069471175 " "
y[1] (numeric) = 14.210985069470926 " "
absolute error = 2.48689957516035070000000000000E-13 " "
relative error = 1.7499839476313617000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.505885572264212 " "
"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] = 0.5300000000000002 " "
y[1] (analytic) = 14.497890024518666 " "
y[1] (numeric) = 14.497890024518417 " "
absolute error = 2.48689957516035070000000000000E-13 " "
relative error = 1.715352765784907100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.505654726991738 " "
"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] = 0.5400000000000003 " "
y[1] (analytic) = 14.790594328883744 " "
y[1] (numeric) = 14.790594328883493 " "
absolute error = 2.5046631435543530000000000000E-13 " "
relative error = 1.6934161588511243000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.505432938573987 " "
"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] = 0.5500000000000003 " "
y[1] (analytic) = 15.08921506819094 " "
y[1] (numeric) = 15.089215068190676 " "
absolute error = 2.6467716907063730000000000000E-13 " "
relative error = 1.7540817588887989000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.505219851480323 " "
"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] = 0.5600000000000003 " "
y[1] (analytic) = 15.393871694717632 " "
y[1] (numeric) = 15.393871694717351 " "
absolute error = 2.80664380625239600000000000000E-13 " "
relative error = 1.8232215143221497000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.505015124151909 " "
"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] = 0.5700000000000003 " "
y[1] (analytic) = 15.704686075176555 " "
y[1] (numeric) = 15.704686075176273 " "
absolute error = 2.8244073746463980000000000000E-13 " "
relative error = 1.7984487949178224000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.504818428451518 " "
"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] = 0.5800000000000003 " "
y[1] (analytic) = 16.021782539464155 " "
y[1] (numeric) = 16.02178253946387 " "
absolute error = 2.84217094304040100000000000000E-13 " "
relative error = 1.7739417795989237000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.504629449134947 " "
"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] = 0.5900000000000003 " "
y[1] (analytic) = 16.34528793039417 " "
y[1] (numeric) = 16.34528793039387 " "
absolute error = 3.0198066269804260000000000000E-13 " "
relative error = 1.847508982307418000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.504447883343504 " "
"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] = 0.6000000000000003 " "
y[1] (analytic) = 16.675331654436423 " "
y[1] (numeric) = 16.675331654436107 " "
absolute error = 3.1619151741324460000000000000E-13 " "
relative error = 1.8961632905761294000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.504273440116444 " "
"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] = 0.6100000000000003 " "
y[1] (analytic) = 17.012045733481155 " "
y[1] (numeric) = 17.012045733480836 " "
absolute error = 3.1974423109204510000000000000E-13 " "
relative error = 1.8795166442726002000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50410583992268 " "
"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] = 0.6200000000000003 " "
y[1] (analytic) = 17.35556485764958 " "
y[1] (numeric) = 17.35556485764926 " "
absolute error = 3.1974423109204510000000000000E-13 " "
relative error = 1.8423153248804558000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.503944814211051 " "
"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] = 0.6300000000000003 " "
y[1] (analytic) = 17.706026439171694 " "
y[1] (numeric) = 17.70602643917136 " "
absolute error = 3.3395508580724710000000000000E-13 " "
relative error = 1.8861097206340205000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.503790104978274 " "
"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] = 0.6400000000000003 " "
y[1] (analytic) = 18.06357066735298 " "
y[1] (numeric) = 18.06357066735263 " "
absolute error = 3.5171865420124960000000000000E-13 " "
relative error = 1.947115886876811800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50364146435399 " "
"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] = 0.6500000000000004 " "
y[1] (analytic) = 18.42834056465201 " "
y[1] (numeric) = 18.42834056465166 " "
absolute error = 3.5171865420124960000000000000E-13 " "
relative error = 1.9085747464201547000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.503498654202186 " "
"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] = 0.6600000000000004 " "
y[1] (analytic) = 18.80048204389139 " "
y[1] (numeric) = 18.800482043891034 " "
absolute error = 3.5527136788005010000000000000E-13 " "
relative error = 1.889692865590561000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.503361445738333 " "
"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] = 0.6700000000000004 " "
y[1] (analytic) = 19.180143966624772 " "
y[1] (numeric) = 19.1801439666244 " "
absolute error = 3.7303493627405260000000000000E-13 " "
relative error = 1.9449016489301016000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.503229619161605 " "
"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] = 0.6800000000000004 " "
y[1] (analytic) = 19.56747820268347 " "
y[1] (numeric) = 19.567478202683077 " "
absolute error = 3.9435121834685560000000000000E-13 " "
relative error = 2.015340016031163800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.503102963301677 " "
"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] = 0.6900000000000004 " "
y[1] (analytic) = 19.962639690926412 " "
y[1] (numeric) = 19.962639690926018 " "
absolute error = 3.9435121834685560000000000000E-13 " "
relative error = 1.975446255868153000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50298127527935 " "
"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] = 0.7000000000000004 " "
y[1] (analytic) = 20.365786501217805 " "
y[1] (numeric) = 20.365786501217407 " "
absolute error = 3.9790393202565610000000000000E-13 " "
relative error = 1.9537862286922375000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.502864360180634 " "
"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] = 0.7100000000000004 " "
y[1] (analytic) = 20.77707989765714 " "
y[1] (numeric) = 20.777079897656723 " "
absolute error = 4.1566750041965860000000000000E-13 " "
relative error = 2.0006059680529506000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.502752030743624 " "
"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] = 0.7200000000000004 " "
y[1] (analytic) = 21.196684403086966 " "
y[1] (numeric) = 21.19668440308653 " "
absolute error = 4.3698378249246160000000000000E-13 " "
relative error = 2.061566677988666000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50264410705774 " "
"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] = 0.7300000000000004 " "
y[1] (analytic) = 21.624767864904232 " "
y[1] (numeric) = 21.624767864903795 " "
absolute error = 4.3698378249246160000000000000E-13 " "
relative error = 2.020755946248382000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.502540416274831 " "
"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] = 0.7400000000000004 " "
y[1] (analytic) = 22.061501522201546 " "
y[1] (numeric) = 22.061501522201105 " "
absolute error = 4.4053649617126210000000000000E-13 " "
relative error = 1.9968563596087470000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.502440792331596 " "
"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] = 0.7500000000000004 " "
y[1] (analytic) = 22.507060074265034 " "
y[1] (numeric) = 22.507060074264572 " "
absolute error = 4.6185277824406510000000000000E-13 " "
relative error = 2.0520351246236537000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50234507568298 " "
"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] = 0.7600000000000005 " "
y[1] (analytic) = 22.961621750456363 " "
y[1] (numeric) = 22.96162175045588 " "
absolute error = 4.8316906031686810000000000000E-13 " "
relative error = 2.1042462312456878000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.502253113046127 " "
"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] = 0.7700000000000005 " "
y[1] (analytic) = 23.425368381506896 " "
y[1] (numeric) = 23.42536838150641 " "
absolute error = 4.8672177399566860000000000000E-13 " "
relative error = 2.077755047728129000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.502164757154292 " "
"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] = 0.7800000000000005 " "
y[1] (analytic) = 23.89848547225244 " "
y[1] (numeric) = 23.898485472251952 " "
absolute error = 4.8672177399566860000000000000E-13 " "
relative error = 2.036621837650681200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.502079866520502 " "
"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] = 0.7900000000000005 " "
y[1] (analytic) = 24.381162275837625 " "
y[1] (numeric) = 24.381162275837116 " "
absolute error = 5.0803805606847160000000000000E-13 " "
relative error = 2.083731900558124000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.501998305210513 " "
"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] = 0.8000000000000005 " "
y[1] (analytic) = 24.873591869419645 " "
y[1] (numeric) = 24.873591869419112 " "
absolute error = 5.3290705182007510000000000000E-13 " "
relative error = 2.142461187824053000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.501919942624768 " "
"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] = 0.8100000000000005 " "
y[1] (analytic) = 25.375971231401724 " "
y[1] (numeric) = 25.37597123140119 " "
absolute error = 5.3290705182007510000000000000E-13 " "
relative error = 2.100045933062158000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.501844653288735 " "
"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] = 0.8200000000000005 " "
y[1] (analytic) = 25.88850132022716 " "
y[1] (numeric) = 25.888501320226624 " "
absolute error = 5.3645976549887560000000000000E-13 " "
relative error = 2.0721932060228213000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.501772316651799 " "
"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] = 0.8300000000000005 " "
y[1] (analytic) = 26.41138715476533 " "
y[1] (numeric) = 26.411387154764768 " "
absolute error = 5.6132876125047910000000000000E-13 " "
relative error = 2.125328586345001000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.501702816893737 " "
"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] = 0.8400000000000005 " "
y[1] (analytic) = 26.94483789632193 " "
y[1] (numeric) = 26.944837896321342 " "
absolute error = 5.8619775700208270000000000000E-13 " "
relative error = 2.1755475362577736000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50163604273905 " "
"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] = 0.8500000000000005 " "
y[1] (analytic) = 27.48906693230633 " "
y[1] (numeric) = 27.48906693230574 " "
absolute error = 5.8975047068088320000000000000E-13 " "
relative error = 2.1454001044603777000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.501571887278482 " "
"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] = 0.8600000000000005 " "
y[1] (analytic) = 28.04429196158943 " "
y[1] (numeric) = 28.04429196158884 " "
absolute error = 5.8975047068088320000000000000E-13 " "
relative error = 2.1029251567079274000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.501510247797576 " "
"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] = 0.8700000000000006 " "
y[1] (analytic) = 28.610735081586068 " "
y[1] (numeric) = 28.610735081585453 " "
absolute error = 6.1461946643248670000000000000E-13 " "
relative error = 2.1482127763577005000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.501451025611967 " "
"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] = 0.8800000000000006 " "
y[1] (analytic) = 29.1886228770969 " "
y[1] (numeric) = 29.188622877096254 " "
absolute error = 6.4659388954169120000000000000E-13 " "
relative error = 2.2152257482796373000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.501394125909215 " "
"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] = 0.8900000000000006 " "
y[1] (analytic) = 29.778186510945368 " "
y[1] (numeric) = 29.77818651094472 " "
absolute error = 6.4659388954169120000000000000E-13 " "
relative error = 2.171367585813283000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.501339457596691 " "
"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] = 0.9000000000000006 " "
y[1] (analytic) = 30.379661816445996 " "
y[1] (numeric) = 30.379661816445346 " "
absolute error = 6.5014660322049170000000000000E-13 " "
relative error = 2.1400718913484926000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.501286933155685 " "
"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] = 0.9100000000000006 " "
y[1] (analytic) = 30.993289391740788 " "
y[1] (numeric) = 30.993289391740106 " "
absolute error = 6.8212102632969620000000000000E-13 " "
relative error = 2.2008668318744848000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.501236468500993 " "
"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] = 0.9200000000000006 " "
y[1] (analytic) = 31.619314696041645 " "
y[1] (numeric) = 31.619314696040934 " "
absolute error = 7.1054273576010020000000000000E-13 " "
relative error = 2.2471794300116552000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50118798284619 " "
"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] = 0.9300000000000006 " "
y[1] (analytic) = 32.25798814781738 " "
y[1] (numeric) = 32.25798814781666 " "
absolute error = 7.1764816311770120000000000000E-13 " "
relative error = 2.224714572493444000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.501141398574202 " "
"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] = 0.9400000000000006 " "
y[1] (analytic) = 32.909565224964474 " "
y[1] (numeric) = 32.90956522496376 " "
absolute error = 7.1764816311770120000000000000E-13 " "
relative error = 2.180667408432698000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.5010966411128 " "
"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] = 0.9500000000000006 " "
y[1] (analytic) = 33.57430656700164 " "
y[1] (numeric) = 33.574306567000896 " "
absolute error = 7.4606987254810520000000000000E-13 " "
relative error = 2.2221452915467707000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50105363881517 " "
"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] = 0.9600000000000006 " "
y[1] (analytic) = 34.252478079329 " "
y[1] (numeric) = 34.25247807932822 " "
absolute error = 7.8159700933611020000000000000E-13 " "
relative error = 2.281869964345136000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.501012322845094 " "
"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] = 0.9700000000000006 " "
y[1] (analytic) = 34.94435103959386 " "
y[1] (numeric) = 34.94435103959307 " "
absolute error = 7.8870243669371120000000000000E-13 " "
relative error = 2.2570241347451790000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500972627066615 " "
"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] = 0.9800000000000006 " "
y[1] (analytic) = 35.65020220620545 " "
y[1] (numeric) = 35.65020220620466 " "
absolute error = 7.8870243669371120000000000000E-13 " "
relative error = 2.2123365026985056000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500934487938117 " "
"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] = 0.9900000000000007 " "
y[1] (analytic) = 36.37031392904192 " "
y[1] (numeric) = 36.370313929041096 " "
absolute error = 8.2422957348171620000000000000E-13 " "
relative error = 2.2662151750732176000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50089784441044 " "
"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] = 1.0000000000000007 " "
y[1] (analytic) = 37.10497426239399 " "
y[1] (numeric) = 37.10497426239313 " "
absolute error = 8.5975671026972120000000000000E-13 " "
relative error = 2.3170928625089696000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500862637829188 " "
"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] = 1.0100000000000007 " "
y[1] (analytic) = 37.85447708019057 " "
y[1] (numeric) = 37.85447708018971 " "
absolute error = 8.5975671026972120000000000000E-13 " "
relative error = 2.2712153926956133000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500828811840613 " "
"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] = 1.0200000000000007 " "
y[1] (analytic) = 38.61912219355232 " "
y[1] (numeric) = 38.619122193551455 " "
absolute error = 8.6686213762732220000000000000E-13 " "
relative error = 2.2446448505037478000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500796312301464 " "
"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] = 1.0300000000000007 " "
y[1] (analytic) = 39.399215470720016 " "
y[1] (numeric) = 39.39921547071911 " "
absolute error = 9.0238927441532720000000000000E-13 " "
relative error = 2.2903737133698723000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500765087192201 " "
"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] = 1.0400000000000007 " "
y[1] (analytic) = 40.19506895940588 " "
y[1] (numeric) = 40.19506895940494 " "
absolute error = 9.3791641120333220000000000000E-13 " "
relative error = 2.333411623576415000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500735086533657 " "
"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] = 1.0500000000000007 " "
y[1] (analytic) = 41.00700101161687 " "
y[1] (numeric) = 41.00700101161593 " "
absolute error = 9.4502183856093320000000000000E-13 " "
relative error = 2.304537799029044000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500706262306993 " "
"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] = 1.0600000000000007 " "
y[1] (analytic) = 41.835336410999815 " "
y[1] (numeric) = 41.83533641099886 " "
absolute error = 9.5212726591853420000000000000E-13 " "
relative error = 2.275892457430294000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500678568376802 " "
"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] = 1.0700000000000007 " "
y[1] (analytic) = 42.68040650275911 " "
y[1] (numeric) = 42.680406502758125 " "
absolute error = 9.8765440270653930000000000000E-13 " "
relative error = 2.3140698124388565000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500651960417187 " "
"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] = 1.0800000000000007 " "
y[1] (analytic) = 43.54254932619920 " "
y[1] (numeric) = 43.54254932619816 " "
absolute error = 1.0302869668521453000000000000E-12 " "
relative error = 2.366161335969895000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500626395840783 " "
"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] = 1.0900000000000007 " "
y[1] (analytic) = 44.422109749944774 " "
y[1] (numeric) = 44.42210974994374 " "
absolute error = 1.0302869668521453000000000000E-12 " "
relative error = 2.319311200327278700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500601833730563 " "
"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] = 1.1000000000000008 " "
y[1] (analytic) = 45.31943960989303 " "
y[1] (numeric) = 45.319439609891994 " "
absolute error = 1.0373923942097463000000000000E-12 " "
relative error = 2.289067126909681000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500578234774279 " "
"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] = 1.1100000000000008 " "
y[1] (analytic) = 46.23489784995254 " "
y[1] (numeric) = 46.23489784995145 " "
absolute error = 1.0871303857129533000000000000E-12 " "
relative error = 2.3513199688275493000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50055556120152 " "
"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] = 1.1200000000000008 " "
y[1] (analytic) = 47.16885066562555 " "
y[1] (numeric) = 47.16885066562442 " "
absolute error = 1.1297629498585593000000000000E-12 " "
relative error = 2.3951462329818388000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500533776723232 " "
"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] = 1.1300000000000008 " "
y[1] (analytic) = 48.121671650491166 " "
y[1] (numeric) = 48.12167165049003 " "
absolute error = 1.1368683772161603000000000000E-12 " "
relative error = 2.3624872915331413000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50051284647362 " "
"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] = 1.1400000000000008 " "
y[1] (analytic) = 49.09374194564782 " "
y[1] (numeric) = 49.09374194564668 " "
absolute error = 1.1439738045737613000000000000E-12 " "
relative error = 2.3301825431034903000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500492736954268 " "
"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] = 1.1500000000000008 " "
y[1] (analytic) = 50.08545039217473 " "
y[1] (numeric) = 50.08545039217354 " "
absolute error = 1.1866063687193673000000000000E-12 " "
relative error = 2.3691638178914345000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500473415980535 " "
"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] = 1.1600000000000008 " "
y[1] (analytic) = 51.09719368667342 " "
y[1] (numeric) = 51.097193686672185 " "
absolute error = 1.2363443602225743000000000000E-12 " "
relative error = 2.4195934669207156000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500454852630039 " "
"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] = 1.1700000000000008 " "
y[1] (analytic) = 52.129376539951735 " "
y[1] (numeric) = 52.12937653995049 " "
absolute error = 1.2434497875801753000000000000E-12 " "
relative error = 2.3853149032526808000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500437017193086 " "
"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] = 1.1800000000000008 " "
y[1] (analytic) = 53.18241183891365 " "
y[1] (numeric) = 53.1824118389124 " "
absolute error = 1.2505552149377763000000000000E-12 " "
relative error = 2.351445095656122800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500419881125168 " "
"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] = 1.1900000000000008 " "
y[1] (analytic) = 54.256720811719454 " "
y[1] (numeric) = 54.256720811718154 " "
absolute error = 1.3002932064409833000000000000E-12 " "
relative error = 2.396556937071877000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500403417001188 " "
"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] = 1.2000000000000008 " "
y[1] (analytic) = 55.35273319628254 " "
y[1] (numeric) = 55.352733196281186 " "
absolute error = 1.3571366253017914000000000000E-12 " "
relative error = 2.451796951903607000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500387598471633 " "
"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] = 1.2100000000000009 " "
y[1] (analytic) = 56.47088741217038 " "
y[1] (numeric) = 56.47088741216901 " "
absolute error = 1.3642420526593924000000000000E-12 " "
relative error = 2.415832502687706200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500372400220295 " "
"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] = 1.2200000000000009 " "
y[1] (analytic) = 57.61163073597828 " "
y[1] (numeric) = 57.61163073597692 " "
absolute error = 1.3642420526593924000000000000E-12 " "
relative error = 2.367997633865669000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500357797923824 " "
"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] = 1.2300000000000009 " "
y[1] (analytic) = 58.77541948024595 " "
y[1] (numeric) = 58.77541948024453 " "
absolute error = 1.4210854715202004000000000000E-12 " "
relative error = 2.4178227634731184000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500343768212717 " "
"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] = 1.2400000000000009 " "
y[1] (analytic) = 59.962719175988425 " "
y[1] (numeric) = 59.96271917598695 " "
absolute error = 1.4779288903810084000000000000E-12 " "
relative error = 2.4647462801734196000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500330288633975 " "
"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] = 1.2500000000000009 " "
y[1] (analytic) = 61.17400475891482 " "
y[1] (numeric) = 61.17400475891334 " "
absolute error = 1.4779288903810084000000000000E-12 " "
relative error = 2.4159426805642173000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.5003173376151 " "
"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] = 1.260000000000001 " "
y[1] (analytic) = 62.40976075940906 " "
y[1] (numeric) = 62.409760759407575 " "
absolute error = 1.4850343177386094000000000000E-12 " "
relative error = 2.3794904830086563000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500304894429553 " "
"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] = 1.270000000000001 " "
y[1] (analytic) = 63.67048149634835 " "
y[1] (numeric) = 63.67048149634681 " "
absolute error = 1.5418777365994174000000000000E-12 " "
relative error = 2.421652389558021000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500292939163646 " "
"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] = 1.280000000000001 " "
y[1] (analytic) = 64.95667127483726 " "
y[1] (numeric) = 64.95667127483566 " "
absolute error = 1.6058265828178264000000000000E-12 " "
relative error = 2.4721503600814704000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500281452684597 " "
"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] = 1.290000000000001 " "
y[1] (analytic) = 66.26884458793654 " "
y[1] (numeric) = 66.26884458793494 " "
absolute error = 1.6058265828178264000000000000E-12 " "
relative error = 2.4231999106110086000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500270416609922 " "
"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] = 1.300000000000001 " "
y[1] (analytic) = 67.60752632246738 " "
y[1] (numeric) = 67.60752632246576 " "
absolute error = 1.6200374375330284000000000000E-12 " "
relative error = 2.3962382972066476000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50025981327799 " "
"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] = 1.310000000000001 " "
y[1] (analytic) = 68.97325196897296 " "
y[1] (numeric) = 68.97325196897127 " "
absolute error = 1.6910917111090384000000000000E-12 " "
relative error = 2.451808002136483000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500249625719796 " "
"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] = 1.320000000000001 " "
y[1] (analytic) = 70.36656783592176 " "
y[1] (numeric) = 70.36656783592 " "
absolute error = 1.7621459846850485000000000000E-12 " "
relative error = 2.504237507780623000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500239837631762 " "
"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] = 1.330000000000001 " "
y[1] (analytic) = 71.78803126823827 " "
y[1] (numeric) = 71.78803126823651 " "
absolute error = 1.7621459846850485000000000000E-12 " "
relative error = 2.4546514976859218000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50023043334966 " "
"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] = 1.340000000000001 " "
y[1] (analytic) = 73.2382108702486 " "
y[1] (numeric) = 73.23821087024683 " "
absolute error = 1.7621459846850485000000000000E-12 " "
relative error = 2.406047285626527200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50022139782349 " "
"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] = 1.350000000000001 " "
y[1] (analytic) = 74.71768673312957 " "
y[1] (numeric) = 74.71768673312775 " "
absolute error = 1.8189894035458565000000000000E-12 " "
relative error = 2.4344830294904227000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500212716593483 " "
"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] = 1.360000000000001 " "
y[1] (analytic) = 76.22705066695292 " "
y[1] (numeric) = 76.22705066695102 " "
absolute error = 1.9042545318370685000000000000E-12 " "
relative error = 2.498134868364557000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500204375766826 " "
"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] = 1.370000000000001 " "
y[1] (analytic) = 77.7669064374172 " "
y[1] (numeric) = 77.7669064374153 " "
absolute error = 1.9042545318370685000000000000E-12 " "
relative error = 2.4486695164729413000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500196361995565 " "
"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] = 1.380000000000001 " "
y[1] (analytic) = 79.33787000736237 " "
y[1] (numeric) = 79.33787000736045 " "
absolute error = 1.9184653865522705000000000000E-12 " "
relative error = 2.4180954018229145000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500188662455143 " "
"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] = 1.390000000000001 " "
y[1] (analytic) = 80.94056978316291 " "
y[1] (numeric) = 80.94056978316092 " "
absolute error = 1.9895196601282805000000000000E-12 " "
relative error = 2.458000561965572000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500181264823889 " "
"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] = 1.400000000000001 " "
y[1] (analytic) = 82.57564686609871 " "
y[1] (numeric) = 82.57564686609665 " "
absolute error = 2.0605739337042905000000000000E-12 " "
relative error = 2.4953772836265310000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500174157263334 " "
"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] = 1.410000000000001 " "
y[1] (analytic) = 84.24375530880418 " "
y[1] (numeric) = 84.24375530880212 " "
absolute error = 2.0605739337042905000000000000E-12 " "
relative error = 2.4459663819010016000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50016732839922 " "
"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] = 1.420000000000001 " "
y[1] (analytic) = 85.94556237689822 " "
y[1] (numeric) = 85.94556237689616 " "
absolute error = 2.0605739337042905000000000000E-12 " "
relative error = 2.3975338303890878000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500160767303324 " "
"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] = 1.430000000000001 " "
y[1] (analytic) = 87.68174881589921 " "
y[1] (numeric) = 87.68174881589707 " "
absolute error = 2.1458390619955026000000000000E-12 " "
relative error = 2.4473041322442243000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500154463475946 " "
"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] = 1.440000000000001 " "
y[1] (analytic) = 89.45300912353214 " "
y[1] (numeric) = 89.4530091235299 " "
absolute error = 2.2453150450019166000000000000E-12 " "
relative error = 2.5100497646772270000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500148406829114 " "
"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] = 1.450000000000001 " "
y[1] (analytic) = 91.26005182753708 " "
y[1] (numeric) = 91.26005182753484 " "
absolute error = 2.2453150450019166000000000000E-12 " "
relative error = 2.460348202787683000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500142587670446 " "
"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] = 1.460000000000001 " "
y[1] (analytic) = 93.10359976908995 " "
y[1] (numeric) = 93.10359976908771 " "
absolute error = 2.2453150450019166000000000000E-12 " "
relative error = 2.4116307538812830000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500136996687601 " "
"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] = 1.470000000000001 " "
y[1] (analytic) = 94.98439039194842 " "
y[1] (numeric) = 94.98439039194609 " "
absolute error = 2.3305801732931286000000000000E-12 " "
relative error = 2.4536454502430388000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50013162493343 " "
"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] = 1.480000000000001 " "
y[1] (analytic) = 96.90317603743911 " "
y[1] (numeric) = 96.90317603743668 " "
absolute error = 2.4300561562995426000000000000E-12 " "
relative error = 2.5077156969144915000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500126463811622 " "
"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] = 1.490000000000001 " "
y[1] (analytic) = 98.86072424540426 " "
y[1] (numeric) = 98.86072424540181 " "
absolute error = 2.4442670110147446000000000000E-12 " "
relative error = 2.4724348619450573000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500121505062928 " "
"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] = 1.500000000000001 " "
y[1] (analytic) = 100.85781806122813 " "
y[1] (numeric) = 100.85781806122567 " "
absolute error = 2.4584778657299466000000000000E-12 " "
relative error = 2.4375679674504455000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500116740751997 " "
"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] = 1.5100000000000011 " "
y[1] (analytic) = 102.89525634906542 " "
y[1] (numeric) = 102.89525634906286 " "
absolute error = 2.5579538487363607000000000000E-12 " "
relative error = 2.485978401238119200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500112163254611 " "
"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] = 1.5200000000000011 " "
y[1] (analytic) = 104.97385411139737 " "
y[1] (numeric) = 104.97385411139473 " "
absolute error = 2.6432189770275727000000000000E-12 " "
relative error = 2.5179784046250325000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500107765245547 " "
"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] = 1.5300000000000011 " "
y[1] (analytic) = 107.09444281504385 " "
y[1] (numeric) = 107.0944428150412 " "
absolute error = 2.6432189770275727000000000000E-12 " "
relative error = 2.4681196405237493000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500103539686796 " "
"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] = 1.5400000000000011 " "
y[1] (analytic) = 109.25787072376129 " "
y[1] (numeric) = 109.25787072375863 " "
absolute error = 2.6574298317427747000000000000E-12 " "
relative error = 2.432254824425056000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500099479816361 " "
"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] = 1.5500000000000012 " "
y[1] (analytic) = 111.46500323755936 " "
y[1] (numeric) = 111.46500323755659 " "
absolute error = 2.7711166694643910000000000000E-12 " "
relative error = 2.4860867437992704000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50009557913734 " "
"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] = 1.5600000000000012 " "
y[1] (analytic) = 113.71672323887232 " "
y[1] (numeric) = 113.71672323886943 " "
absolute error = 2.8848035071860070000000000000E-12 " "
relative error = 2.5368331279878814000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500091831407653 " "
"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] = 1.5700000000000012 " "
y[1] (analytic) = 116.01393144572391 " "
y[1] (numeric) = 116.01393144572103 " "
absolute error = 2.8848035071860070000000000000E-12 " "
relative error = 2.486600937694829000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500088230629935 " "
"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] = 1.5800000000000012 " "
y[1] (analytic) = 118.35754677202685 " "
y[1] (numeric) = 118.35754677202395 " "
absolute error = 2.8990143619012090000000000000E-12 " "
relative error = 2.4493701001467313000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500084771042008 " "
"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] = 1.5900000000000012 " "
y[1] (analytic) = 120.74850669516036 " "
y[1] (numeric) = 120.74850669515735 " "
absolute error = 3.0127011996228250000000000000E-12 " "
relative error = 2.4950214972253357000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500081447107654 " "
"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] = 1.6000000000000012 " "
y[1] (analytic) = 123.18776763097348 " "
y[1] (numeric) = 123.18776763097036 " "
absolute error = 3.126388037344441000000000000E-12 " "
relative error = 2.5379046129888333000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500078253507738 " "
"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] = 1.6100000000000012 " "
y[1] (analytic) = 125.67630531636436 " "
y[1] (numeric) = 125.67630531636122 " "
absolute error = 3.140598892059643000000000000E-12 " "
relative error = 2.49895864153057980000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500075185131672 " "
"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] = 1.6200000000000012 " "
y[1] (analytic) = 128.2151151995882 " "
y[1] (numeric) = 128.21511519958506 " "
absolute error = 3.154809746774845000000000000E-12 " "
relative error = 2.4605599284170646000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500072237069281 " "
"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] = 1.6300000000000012 " "
y[1] (analytic) = 130.80521283844965 " "
y[1] (numeric) = 130.80521283844638 " "
absolute error = 3.268496584496461000000000000E-12 " "
relative error = 2.4987510157819184000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500069404602934 " "
"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] = 1.6400000000000012 " "
y[1] (analytic) = 133.44763430653924 " "
y[1] (numeric) = 133.44763430653583 " "
absolute error = 3.410605131648481000000000000E-12 " "
relative error = 2.5557629023337086000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500066683199975 " "
"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] = 1.6500000000000012 " "
y[1] (analytic) = 136.14343660767685 " "
y[1] (numeric) = 136.14343660767344 " "
absolute error = 3.410605131648481000000000000E-12 " "
relative error = 2.5051557508988020000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50006406850549 " "
"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] = 1.6600000000000013 " "
y[1] (analytic) = 138.89369809872755 " "
y[1] (numeric) = 138.89369809872412 " "
absolute error = 3.439026841078885000000000000E-12 " "
relative error = 2.4760135903605773000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50006155633532 " "
"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] = 1.6700000000000013 " "
y[1] (analytic) = 141.69951892095852 " "
y[1] (numeric) = 141.69951892095497 " "
absolute error = 3.552713678800501000000000000E-12 " "
relative error = 2.5072164717667406000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500059142669372 " "
"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] = 1.6800000000000013 " "
y[1] (analytic) = 144.56202144011002 " "
y[1] (numeric) = 144.56202144010632 " "
absolute error = 3.694822225952521000000000000E-12 " "
relative error = 2.5558733816427940000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500056823645195 " "
"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] = 1.6900000000000013 " "
y[1] (analytic) = 147.48235069535673 " "
y[1] (numeric) = 147.48235069535303 " "
absolute error = 3.694822225952521000000000000E-12 " "
relative error = 2.505263991611199000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500054595551807 " "
"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] = 1.7000000000000013 " "
y[1] (analytic) = 150.46167485733912 " "
y[1] (numeric) = 150.46167485733542 " "
absolute error = 3.694822225952521000000000000E-12 " "
relative error = 2.45565671753673000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500052454823685 " "
"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] = 1.7100000000000013 " "
y[1] (analytic) = 153.50118569544702 " "
y[1] (numeric) = 153.50118569544318 " "
absolute error = 3.836930773104541000000000000E-12 " "
relative error = 2.499609860159111300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500050398035171 " "
"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] = 1.7200000000000013 " "
y[1] (analytic) = 156.60209905454286 " "
y[1] (numeric) = 156.60209905453888 " "
absolute error = 3.979039320256561000000000000E-12 " "
relative error = 2.5408595058937900000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500048421894913 " "
"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] = 1.7300000000000013 " "
y[1] (analytic) = 159.7656553413162 " "
y[1] (numeric) = 159.76565534131223 " "
absolute error = 3.979039320256561000000000000E-12 " "
relative error = 2.4905473656124147000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500046523240602 " "
"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] = 1.7400000000000013 " "
y[1] (analytic) = 162.99312002046324 " "
y[1] (numeric) = 162.99312002045923 " "
absolute error = 4.007461029686965000000000000E-12 " "
relative error = 2.458668825520882200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500044699033964 " "
"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] = 1.7500000000000013 " "
y[1] (analytic) = 166.28578412088916 " "
y[1] (numeric) = 166.28578412088498 " "
absolute error = 4.177991286269389000000000000E-12 " "
relative error = 2.512536659917966600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500042946355805 " "
"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] = 1.7600000000000013 " "
y[1] (analytic) = 169.6449647521368 " "
y[1] (numeric) = 169.64496475213244 " "
absolute error = 4.348521542851813000000000000E-12 " "
relative error = 2.563307168712793000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500041262401455 " "
"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] = 1.7700000000000014 " "
y[1] (analytic) = 173.07200563124815 " "
y[1] (numeric) = 173.07200563124377 " "
absolute error = 4.376943252282217000000000000E-12 " "
relative error = 2.528972398695055000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500039644476168 " "
"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] = 1.7800000000000014 " "
y[1] (analytic) = 176.5682776202695 " "
y[1] (numeric) = 176.56827762026512 " "
absolute error = 4.376943252282217000000000000E-12 " "
relative error = 2.478895592839921200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500038089990909 " "
"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] = 1.7900000000000014 " "
y[1] (analytic) = 180.13517927461422 " "
y[1] (numeric) = 180.13517927460967 " "
absolute error = 4.547473508864641000000000000E-12 " "
relative error = 2.524478298562695000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500036596458134 " "
"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] = 1.8000000000000014 " "
y[1] (analytic) = 183.7741374025032 " "
y[1] (numeric) = 183.77413740249847 " "
absolute error = 4.718003765447065000000000000E-12 " "
relative error = 2.5672838583993274000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500035161487821 " "
"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] = 1.8100000000000014 " "
y[1] (analytic) = 187.48660763570751 " "
y[1] (numeric) = 187.48660763570277 " "
absolute error = 4.746425474877469000000000000E-12 " "
relative error = 2.5316077424046873000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500033782783714 " "
"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] = 1.8200000000000014 " "
y[1] (analytic) = 191.27407501182088 " "
y[1] (numeric) = 191.27407501181614 " "
absolute error = 4.746425474877469000000000000E-12 " "
relative error = 2.4814787234412905000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500032458139549 " "
"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] = 1.8300000000000014 " "
y[1] (analytic) = 195.13805456829417 " "
y[1] (numeric) = 195.13805456828922 " "
absolute error = 4.945377440890297300000000000E-12 " "
relative error = 2.5342967837980170000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50003118543561 " "
"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] = 1.8400000000000014 " "
y[1] (analytic) = 199.08009194847017 " "
y[1] (numeric) = 199.08009194846505 " "
absolute error = 5.115907697472721000000000000E-12 " "
relative error = 2.5697736259821100000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50002996263526 " "
"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] = 1.8500000000000014 " "
y[1] (analytic) = 203.10176401986203 " "
y[1] (numeric) = 203.1017640198569 " "
absolute error = 5.144329406903125000000000000E-12 " "
relative error = 2.5328826816098177000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500028787781748 " "
"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] = 1.8600000000000014 " "
y[1] (analytic) = 207.20467950492144 " "
y[1] (numeric) = 207.20467950491627 " "
absolute error = 5.172751116333529000000000000E-12 " "
relative error = 2.4964451230990023000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500027658995036 " "
"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] = 1.8700000000000014 " "
y[1] (analytic) = 211.3904796245489 " "
y[1] (numeric) = 211.39047962454353 " "
absolute error = 5.3717030823463570000000000000E-12 " "
relative error = 2.5411281964481330000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500026574468807 " "
"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] = 1.8800000000000014 " "
y[1] (analytic) = 215.6608387546035 " "
y[1] (numeric) = 215.66083875459793 " "
absolute error = 5.5706550483591850000000000000E-12 " "
relative error = 2.5830628687751380000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500025532467589 " "
"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] = 1.8900000000000015 " "
y[1] (analytic) = 220.01746509567593 " "
y[1] (numeric) = 220.01746509567036 " "
absolute error = 5.5706550483591850000000000000E-12 " "
relative error = 2.531914930451885600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500024531323918 " "
"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] = 1.9000000000000015 " "
y[1] (analytic) = 224.46210135639194 " "
y[1] (numeric) = 224.46210135638637 " "
absolute error = 5.5706550483591850000000000000E-12 " "
relative error = 2.4817797813958456000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500023569435752 " "
"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] = 1.9100000000000015 " "
y[1] (analytic) = 228.99652545051865 " "
y[1] (numeric) = 228.99652545051285 " "
absolute error = 5.7980287238024180000000000000E-12 " "
relative error = 2.5319286886102776000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500022645263858 " "
"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] = 1.9200000000000015 " "
y[1] (analytic) = 233.62255120815325 " "
y[1] (numeric) = 233.62255120814726 " "
absolute error = 5.9969806898152460000000000000E-12 " "
relative error = 2.566952830025407000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500021757329346 " "
"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] = 1.9300000000000015 " "
y[1] (analytic) = 238.34202910127982 " "
y[1] (numeric) = 238.3420291012738 " "
absolute error = 6.0254023992456500000000000000E-12 " "
relative error = 2.5280486290922893000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500020904211318 " "
"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] = 1.9400000000000015 " "
y[1] (analytic) = 243.156846983983 " "
y[1] (numeric) = 243.15684698397695 " "
absolute error = 6.0538241086760540000000000000E-12 " "
relative error = 2.4896786513582428000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500020084544602 " "
"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] = 1.9500000000000015 " "
y[1] (analytic) = 248.06893084761447 " "
y[1] (numeric) = 248.06893084760821 " "
absolute error = 6.252776074688882000000000000E-12 " "
relative error = 2.5205800876893690000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500019297017541 " "
"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] = 1.9600000000000015 " "
y[1] (analytic) = 253.08024559121486 " "
y[1] (numeric) = 253.08024559120835 " "
absolute error = 6.508571459562518000000000000E-12 " "
relative error = 2.5717421936105660000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500018540369927 " "
"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] = 1.9700000000000015 " "
y[1] (analytic) = 258.1927958074998 " "
y[1] (numeric) = 258.19279580749327 " "
absolute error = 6.536993168992922000000000000E-12 " "
relative error = 2.531826323251362700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500017813390949 " "
"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] = 1.9800000000000015 " "
y[1] (analytic) = 263.40862658472423 " "
y[1] (numeric) = 263.4086265847177 " "
absolute error = 6.536993168992922000000000000E-12 " "
relative error = 2.481692894325284000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500017114917265 " "
"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] = 1.9900000000000015 " "
y[1] (analytic) = 268.7298243247446 " "
y[1] (numeric) = 268.7298243247378 " "
absolute error = 6.764366844436154000000000000E-12 " "
relative error = 2.51716267869911000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500016443831173 " "
"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] = 2.0000000000000013 " "
y[1] (analytic) = 274.15851757760674 " "
y[1] (numeric) = 274.1585175776 " "
absolute error = 6.764366844436154000000000000E-12 " "
relative error = 2.4673196018873816000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500015799058799 " "
"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] = 2.010000000000001 " "
y[1] (analytic) = 279.6968778929956 " "
y[1] (numeric) = 279.6968778929888 " "
absolute error = 6.764366844436154000000000000E-12 " "
relative error = 2.4184634792469925000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500015179568345 " "
"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] = 2.020000000000001 " "
y[1] (analytic) = 285.3471206888831 " "
y[1] (numeric) = 285.34712068887626 " "
absolute error = 6.821210263296962000000000000E-12 " "
relative error = 2.390495564430172900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500014584368502 " "
"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] = 2.0300000000000007 " "
y[1] (analytic) = 291.1115061377251 " "
y[1] (numeric) = 291.11150613771827 " "
absolute error = 6.821210263296962000000000000E-12 " "
relative error = 2.3431606513243902000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500014012506814 " "
"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] = 2.0400000000000005 " "
y[1] (analytic) = 296.99234007056066 " "
y[1] (numeric) = 296.99234007055384 " "
absolute error = 6.821210263296962000000000000E-12 " "
relative error = 2.296763028190003000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500013463068173 " "
"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] = 2.0500000000000003 " "
y[1] (analytic) = 302.9919748993752 " "
y[1] (numeric) = 302.9919748993683 " "
absolute error = 6.87805368215777000000000000E-12 " "
relative error = 2.2700448368119314000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50001293517336 " "
"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] = 2.06 " "
y[1] (analytic) = 309.11281055809627 " "
y[1] (numeric) = 309.1128105580894 " "
absolute error = 6.87805368215777000000000000E-12 " "
relative error = 2.225094996787612000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500012427977628 " "
"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] = 2.07 " "
y[1] (analytic) = 315.35729546259967 " "
y[1] (numeric) = 315.3572954625928 " "
absolute error = 6.87805368215777000000000000E-12 " "
relative error = 2.1810352197713734000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500011940669344 " "
"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] = 2.0799999999999996 " "
y[1] (analytic) = 321.72792749010813 " "
y[1] (numeric) = 321.72792749010125 " "
absolute error = 6.87805368215777000000000000E-12 " "
relative error = 2.1378478815362534000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500011472468717 " "
"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] = 2.0899999999999994 " "
y[1] (analytic) = 328.2272549783755 " "
y[1] (numeric) = 328.22725497836865 " "
absolute error = 6.87805368215777000000000000E-12 " "
relative error = 2.095515706826635800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500011022626532 " "
"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] = 2.099999999999999 " "
y[1] (analytic) = 334.85787774505604 " "
y[1] (numeric) = 334.8578777450491 " "
absolute error = 6.934897101018578000000000000E-12 " "
relative error = 2.0709971489153556000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500010590422917 " "
"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] = 2.109999999999999 " "
y[1] (analytic) = 341.62244812766573 " "
y[1] (numeric) = 341.6224481276588 " "
absolute error = 6.934897101018578000000000000E-12 " "
relative error = 2.0299887021554797000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500010175166274 " "
"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] = 2.1199999999999988 " "
y[1] (analytic) = 348.5236720445533 " "
y[1] (numeric) = 348.5236720445463 " "
absolute error = 6.991740519879386000000000000E-12 " "
relative error = 2.0061020472048743000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500009776192092 " "
"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] = 2.1299999999999986 " "
y[1] (analytic) = 355.5643100773028 " "
y[1] (numeric) = 355.56431007729583 " "
absolute error = 6.991740519879386000000000000E-12 " "
relative error = 1.9663786048603470000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500009392861926 " "
"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] = 2.1399999999999983 " "
y[1] (analytic) = 362.747178575004 " "
y[1] (numeric) = 362.74717857499695 " "
absolute error = 7.048583938740194000000000000E-12 " "
relative error = 1.943111995089655000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500009024562369 " "
"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] = 2.149999999999998 " "
y[1] (analytic) = 370.0751507808287 " "
y[1] (numeric) = 370.0751507808216 " "
absolute error = 7.105427357601002000000000000E-12 " "
relative error = 1.919995801557906000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500008670704055 " "
"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] = 2.159999999999998 " "
y[1] (analytic) = 377.5511579813669 " "
y[1] (numeric) = 377.5511579813598 " "
absolute error = 7.105427357601002000000000000E-12 " "
relative error = 1.8819773711173923000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500008330720734 " "
"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] = 2.1699999999999977 " "
y[1] (analytic) = 385.17819067918015 " "
y[1] (numeric) = 385.17819067917304 " "
absolute error = 7.105427357601002000000000000E-12 " "
relative error = 1.8447117540772717000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500008004068368 " "
"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] = 2.1799999999999975 " "
y[1] (analytic) = 392.9592997890428 " "
y[1] (numeric) = 392.95929978903564 " "
absolute error = 7.16227077646181000000000000E-12 " "
relative error = 1.822649516198451300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000769022423 " "
"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] = 2.1899999999999973 " "
y[1] (analytic) = 400.8975978583482 " "
y[1] (numeric) = 400.89759785834104 " "
absolute error = 7.16227077646181000000000000E-12 " "
relative error = 1.7865586660343377000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500007388686104 " "
"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] = 2.199999999999997 " "
y[1] (analytic) = 408.9962603121695 " "
y[1] (numeric) = 408.99626031216235 " "
absolute error = 7.16227077646181000000000000E-12 " "
relative error = 1.7511824609337875000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500007098971475 " "
"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] = 2.209999999999997 " "
y[1] (analytic) = 417.2585267234719 " "
y[1] (numeric) = 417.2585267234647 " "
absolute error = 7.219114195322618000000000000E-12 " "
relative error = 1.730129819517604000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500006820616724 " "
"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] = 2.2199999999999966 " "
y[1] (analytic) = 425.68770210898487 " "
y[1] (numeric) = 425.6877021089776 " "
absolute error = 7.275957614183426000000000000E-12 " "
relative error = 1.7092242923946696000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500006553176425 " "
"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] = 2.2299999999999964 " "
y[1] (analytic) = 434.2871582512531 " "
y[1] (numeric) = 434.2871582512458 " "
absolute error = 7.332801033044234000000000000E-12 " "
relative error = 1.6884683080594118000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500006296222608 " "
"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] = 2.239999999999996 " "
y[1] (analytic) = 443.06033504739446 " "
y[1] (numeric) = 443.0603350473871 " "
absolute error = 7.332801033044234000000000000E-12 " "
relative error = 1.6550344169851808000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000604934411 " "
"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] = 2.249999999999996 " "
y[1] (analytic) = 452.0107418851047 " "
y[1] (numeric) = 452.01074188509733 " "
absolute error = 7.389644451905042000000000000E-12 " "
relative error = 1.6348382388185353000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500005812145863 " "
"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] = 2.259999999999996 " "
y[1] (analytic) = 461.14195904645925 " "
y[1] (numeric) = 461.1419590464518 " "
absolute error = 7.44648787076585000000000000E-12 " "
relative error = 1.6147929557664972000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.5000055842483 " "
"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] = 2.2699999999999956 " "
y[1] (analytic) = 470.4576391400738 " "
y[1] (numeric) = 470.4576391400663 " "
absolute error = 7.503331289626658000000000000E-12 " "
relative error = 1.5949005107753433000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500005365286734 " "
"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] = 2.2799999999999954 " "
y[1] (analytic) = 479.9615085621965 " "
y[1] (numeric) = 479.961508562189 " "
absolute error = 7.503331289626658000000000000E-12 " "
relative error = 1.5633193820279712000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500005154910776 " "
"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] = 2.289999999999995 " "
y[1] (analytic) = 489.6573689873162 " "
y[1] (numeric) = 489.6573689873087 " "
absolute error = 7.503331289626658000000000000E-12 " "
relative error = 1.5323636005202282000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000495278378 " "
"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] = 2.299999999999995 " "
y[1] (analytic) = 499.5490988888828 " "
y[1] (numeric) = 499.5490988888753 " "
absolute error = 7.503331289626658000000000000E-12 " "
relative error = 1.5020207836058297000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500004758582298 " "
"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] = 2.3099999999999947 " "
y[1] (analytic) = 509.6406550907484 " "
y[1] (numeric) = 509.64065509074084 " "
absolute error = 7.560174708487466000000000000E-12 " "
relative error = 1.4834324210538650000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500004571995571 " "
"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] = 2.3199999999999945 " "
y[1] (analytic) = 519.9360743499496 " "
y[1] (numeric) = 519.936074349942 " "
absolute error = 7.617018127348274000000000000E-12 " "
relative error = 1.4649912754892905000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500004392725016 " "
"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] = 2.3299999999999943 " "
y[1] (analytic) = 530.4394749714642 " "
y[1] (numeric) = 530.4394749714567 " "
absolute error = 7.503331289626658000000000000E-12 " "
relative error = 1.4145499427677985000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500004220483772 " "
"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] = 2.339999999999994 " "
y[1] (analytic) = 541.155058455588 " "
y[1] (numeric) = 541.1550584555805 " "
absolute error = 7.503331289626658000000000000E-12 " "
relative error = 1.3865399893037214000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500004054996198 " "
"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] = 2.349999999999994 " "
y[1] (analytic) = 552.087111178591 " "
y[1] (numeric) = 552.0871111785835 " "
absolute error = 7.503331289626658000000000000E-12 " "
relative error = 1.3590846693755643000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500003895997489 " "
"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] = 2.3599999999999937 " "
y[1] (analytic) = 563.2400061073251 " "
y[1] (numeric) = 563.2400061073176 " "
absolute error = 7.503331289626658000000000000E-12 " "
relative error = 1.332173000544443000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500003743233211 " "
"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] = 2.3699999999999934 " "
y[1] (analytic) = 574.6182045484691 " "
y[1] (numeric) = 574.6182045484614 " "
absolute error = 7.617018127348274000000000000E-12 " "
relative error = 1.3255789787122518000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500003596458907 " "
"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] = 2.3799999999999932 " "
y[1] (analytic) = 586.2262579331106 " "
y[1] (numeric) = 586.2262579331029 " "
absolute error = 7.617018127348274000000000000E-12 " "
relative error = 1.2993307659407827000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500003455439721 " "
"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] = 2.389999999999993 " "
y[1] (analytic) = 598.0688096373797 " "
y[1] (numeric) = 598.0688096373719 " "
absolute error = 7.73070496506989000000000000E-12 " "
relative error = 1.2926112916266544000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500003319949965 " "
"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] = 2.399999999999993 " "
y[1] (analytic) = 610.1505968398608 " "
y[1] (numeric) = 610.150596839853 " "
absolute error = 7.73070496506989000000000000E-12 " "
relative error = 1.2670158818346414000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500003189772842 " "
"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] = 2.4099999999999926 " "
y[1] (analytic) = 622.4764524165275 " "
y[1] (numeric) = 622.4764524165198 " "
absolute error = 7.73070496506989000000000000E-12 " "
relative error = 1.2419272946082338000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500003064700033 " "
"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] = 2.4199999999999924 " "
y[1] (analytic) = 635.0513068739576 " "
y[1] (numeric) = 635.0513068739499 " "
absolute error = 7.73070496506989000000000000E-12 " "
relative error = 1.217335494217674100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500002944531417 " "
"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] = 2.429999999999992 " "
y[1] (analytic) = 647.8801903216009 " "
y[1] (numeric) = 647.8801903215932 " "
absolute error = 7.73070496506989000000000000E-12 " "
relative error = 1.1932306436522545000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500002829074672 " "
"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] = 2.439999999999992 " "
y[1] (analytic) = 660.9682344838907 " "
y[1] (numeric) = 660.9682344838828 " "
absolute error = 7.844391802791506000000000000E-12 " "
relative error = 1.1868031462838313000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500002718145046 " "
"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] = 2.4499999999999917 " "
y[1] (analytic) = 674.3206747530012 " "
y[1] (numeric) = 674.3206747529933 " "
absolute error = 7.844391802791506000000000000E-12 " "
relative error = 1.1633028759892095000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500002611565035 " "
"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] = 2.4599999999999915 " "
y[1] (analytic) = 687.9428522830751 " "
y[1] (numeric) = 687.9428522830672 " "
absolute error = 7.958078640513122000000000000E-12 " "
relative error = 1.1567935641896206000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500002509164101 " "
"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] = 2.4699999999999913 " "
y[1] (analytic) = 701.8402161267559 " "
y[1] (numeric) = 701.8402161267479 " "
absolute error = 7.958078640513122000000000000E-12 " "
relative error = 1.1338875227799504000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500002410778356 " "
"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] = 2.479999999999991 " "
y[1] (analytic) = 716.0183254148817 " "
y[1] (numeric) = 716.0183254148736 " "
absolute error = 8.071765478234738000000000000E-12 " "
relative error = 1.1273126946238038000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500002316250368 " "
"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] = 2.489999999999991 " "
y[1] (analytic) = 730.4828515802118 " "
y[1] (numeric) = 730.4828515802036 " "
absolute error = 8.185452315956354000000000000E-12 " "
relative error = 1.120553658206928900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500002225428885 " "
"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] = 2.4999999999999907 " "
y[1] (analytic) = 745.2395806260752 " "
y[1] (numeric) = 745.2395806260669 " "
absolute error = 8.29913915367797000000000000E-12 " "
relative error = 1.1136202866071432000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500002138168558 " "
"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] = 2.5099999999999905 " "
y[1] (analytic) = 760.2944154408498 " "
y[1] (numeric) = 760.2944154408408 " "
absolute error = 8.981260180007666000000000000E-12 " "
relative error = 1.1812871431917547000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500002054329762 " "
"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] = 2.5199999999999902 " "
y[1] (analytic) = 775.6533781591942 " "
y[1] (numeric) = 775.6533781591851 " "
absolute error = 9.094947017729282000000000000E-12 " "
relative error = 1.1725530080605988000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000197377833 " "
"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] = 2.52999999999999 " "
y[1] (analytic) = 791.3226125709851 " "
y[1] (numeric) = 791.322612570976 " "
absolute error = 9.094947017729282000000000000E-12 " "
relative error = 1.1493349075644449000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500001896385362 " "
"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] = 2.53999999999999 " "
y[1] (analytic) = 807.3083865789133 " "
y[1] (numeric) = 807.3083865789042 " "
absolute error = 9.094947017729282000000000000E-12 " "
relative error = 1.1265765559887768000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500001822027029 " "
"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] = 2.5499999999999896 " "
y[1] (analytic) = 823.6170947057285 " "
y[1] (numeric) = 823.6170947057193 " "
absolute error = 9.208633855450898000000000000E-12 " "
relative error = 1.1180722103322863000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500001750584314 " "
"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] = 2.5599999999999894 " "
y[1] (analytic) = 840.2552606521335 " "
y[1] (numeric) = 840.2552606521243 " "
absolute error = 9.208633855450898000000000000E-12 " "
relative error = 1.0959329011881404000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500001681942923 " "
"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] = 2.569999999999989 " "
y[1] (analytic) = 857.2295399063523 " "
y[1] (numeric) = 857.229539906343 " "
absolute error = 9.322320693172514000000000000E-12 " "
relative error = 1.0874941027103344000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500001615992995 " "
"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] = 2.579999999999989 " "
y[1] (analytic) = 874.5467224064132 " "
y[1] (numeric) = 874.5467224064038 " "
absolute error = 9.43600753089413000000000000E-12 " "
relative error = 1.0789597958734438000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500001552628994 " "
"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] = 2.5899999999999888 " "
y[1] (analytic) = 892.213735256215 " "
y[1] (numeric) = 892.2137352562056 " "
absolute error = 9.43600753089413000000000000E-12 " "
relative error = 1.0575949638552037000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500001491749533 " "
"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] = 2.5999999999999885 " "
y[1] (analytic) = 910.2376454964611 " "
y[1] (numeric) = 910.2376454964516 " "
absolute error = 9.549694368615746000000000000E-12 " "
relative error = 1.0491429810516308000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500001433257195 " "
"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] = 2.6099999999999883 " "
y[1] (analytic) = 928.6256629315695 " "
y[1] (numeric) = 928.62566293156 " "
absolute error = 9.549694368615746000000000000E-12 " "
relative error = 1.0283685611776447000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500001377058375 " "
"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] = 2.619999999999988 " "
y[1] (analytic) = 947.3851430136912 " "
y[1] (numeric) = 947.3851430136815 " "
absolute error = 9.663381206337363000000000000E-12 " "
relative error = 1.0200055677037055000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000132306314 " "
"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] = 2.629999999999988 " "
y[1] (analytic) = 966.5235897849886 " "
y[1] (numeric) = 966.5235897849789 " "
absolute error = 9.777068044058979000000000000E-12 " "
relative error = 1.0115705552757351000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500001271185086 " "
"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] = 2.6399999999999877 " "
y[1] (analytic) = 986.0486588793531 " "
y[1] (numeric) = 986.0486588793432 " "
absolute error = 9.890754881780595000000000000E-12 " "
relative error = 1.0030696551041877000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.5000012213412 " "
"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] = 2.6499999999999875 " "
y[1] (analytic) = 1005.96816058476 " "
y[1] (numeric) = 1005.96816058475 " "
absolute error = 1.00044417195022100000000000E-11 " "
relative error = 9.9450878382539690000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500001173451732 " "
"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] = 2.6599999999999873 " "
y[1] (analytic) = 1026.2900629674884 " "
y[1] (numeric) = 1026.2900629674784 " "
absolute error = 1.00044417195022100000000000E-11 " "
relative error = 9.7481619285825040000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500001127440026 " "
"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] = 2.669999999999987 " "
y[1] (analytic) = 1047.0224950594538 " "
y[1] (numeric) = 1047.0224950594438 " "
absolute error = 1.00044417195022100000000000E-11 " "
relative error = 9.5551354118080530000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500001083232467 " "
"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] = 2.679999999999987 " "
y[1] (analytic) = 1068.173750109929 " "
y[1] (numeric) = 1068.173750109919 " "
absolute error = 1.00044417195022100000000000E-11 " "
relative error = 9.3659310748580220000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000104075831 " "
"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] = 2.6899999999999866 " "
y[1] (analytic) = 1089.7522889029547 " "
y[1] (numeric) = 1089.7522889029447 " "
absolute error = 1.00044417195022100000000000E-11 " "
relative error = 9.1804732335764170000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000099994959 " "
"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] = 2.6999999999999864 " "
y[1] (analytic) = 1111.7667431417658 " "
y[1] (numeric) = 1111.7667431417558 " "
absolute error = 1.00044417195022100000000000E-11 " "
relative error = 8.9986877024495640000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000960741001 " "
"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] = 2.709999999999986 " "
y[1] (analytic) = 1134.2259189015879 " "
y[1] (numeric) = 1134.2259189015779 " "
absolute error = 1.00044417195022100000000000E-11 " "
relative error = 8.8205017649312380000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000923069807 " "
"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] = 2.719999999999986 " "
y[1] (analytic) = 1157.1388001521846 " "
y[1] (numeric) = 1157.1388001521743 " "
absolute error = 1.023181539494544300000000000E-11 " "
relative error = 8.842340602181671000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000886875725 " "
"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] = 2.7299999999999858 " "
y[1] (analytic) = 1180.514552351565 " "
y[1] (numeric) = 1180.5145523515548 " "
absolute error = 1.023181539494544300000000000E-11 " "
relative error = 8.6672505430482330000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000852100829 " "
"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] = 2.7399999999999856 " "
y[1] (analytic) = 1204.36252611229 " "
y[1] (numeric) = 1204.3625261122797 " "
absolute error = 1.023181539494544300000000000E-11 " "
relative error = 8.4956274984526280000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000818689477 " "
"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] = 2.7499999999999853 " "
y[1] (analytic) = 1228.692260941841 " "
y[1] (numeric) = 1228.6922609418307 " "
absolute error = 1.023181539494544300000000000E-11 " "
relative error = 8.3274028169611440000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.5000007865882 " "
"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] = 2.759999999999985 " "
y[1] (analytic) = 1253.5134890585505 " "
y[1] (numeric) = 1253.5134890585402 " "
absolute error = 1.023181539494544300000000000E-11 " "
relative error = 8.1625092065263960000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000755745637 " "
"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] = 2.769999999999985 " "
y[1] (analytic) = 1278.8361392846195 " "
y[1] (numeric) = 1278.8361392846093 " "
absolute error = 1.023181539494544300000000000E-11 " "
relative error = 8.0008807075698660000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000726112422 " "
"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] = 2.7799999999999847 " "
y[1] (analytic) = 1304.6703410177784 " "
y[1] (numeric) = 1304.670341017768 " "
absolute error = 1.045918907038867500000000000E-11 " "
relative error = 8.0167293925218090000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000069764115 " "
"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] = 2.7899999999999845 " "
y[1] (analytic) = 1331.0264282831808 " "
y[1] (numeric) = 1331.0264282831702 " "
absolute error = 1.068656274583190700000000000E-11 " "
relative error = 8.0288133419078140000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000670286248 " "
"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] = 2.7999999999999843 " "
y[1] (analytic) = 1357.914943867152 " "
y[1] (numeric) = 1357.9149438671413 " "
absolute error = 1.068656274583190700000000000E-11 " "
relative error = 7.8698321968517910000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000644003952 " "
"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] = 2.809999999999984 " "
y[1] (analytic) = 1385.3466435344442 " "
y[1] (numeric) = 1385.3466435344333 " "
absolute error = 1.091393642127513900000000000E-11 " "
relative error = 7.8781267289393640000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000618752189 " "
"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] = 2.819999999999984 " "
y[1] (analytic) = 1413.3325003306848 " "
y[1] (numeric) = 1413.3325003306738 " "
absolute error = 1.091393642127513900000000000E-11 " "
relative error = 7.7221293777094560000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000594490567 " "
"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] = 2.8299999999999836 " "
y[1] (analytic) = 1441.8837089717424 " "
y[1] (numeric) = 1441.8837089717313 " "
absolute error = 1.114131009671837100000000000E-11 " "
relative error = 7.7269130841790480000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000571180259 " "
"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] = 2.8399999999999834 " "
y[1] (analytic) = 1471.011690321761 " "
y[1] (numeric) = 1471.01169032175 " "
absolute error = 1.114131009671837100000000000E-11 " "
relative error = 7.573909962796680000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000548783959 " "
"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] = 2.849999999999983 " "
y[1] (analytic) = 1500.7280959616592 " "
y[1] (numeric) = 1500.728095961648 " "
absolute error = 1.114131009671837100000000000E-11 " "
relative error = 7.4239365056859790000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000052726583 " "
"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] = 2.859999999999983 " "
y[1] (analytic) = 1531.0448128499168 " "
y[1] (numeric) = 1531.0448128499054 " "
absolute error = 1.136868377216160300000000000E-11 " "
relative error = 7.4254415525563310000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000506591446 " "
"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] = 2.869999999999983 " "
y[1] (analytic) = 1561.9739680775172 " "
y[1] (numeric) = 1561.9739680775058 " "
absolute error = 1.136868377216160300000000000E-11 " "
relative error = 7.2784079661418530000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000486727707 " "
"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] = 2.8799999999999826 " "
y[1] (analytic) = 1593.5279337189459 " "
y[1] (numeric) = 1593.5279337189343 " "
absolute error = 1.159605744760483500000000000E-11 " "
relative error = 7.2769715561509940000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000046764284 " "
"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] = 2.8899999999999824 " "
y[1] (analytic) = 1625.7193317811843 " "
y[1] (numeric) = 1625.7193317811727 " "
absolute error = 1.159605744760483500000000000E-11 " "
relative error = 7.1328778719140060000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000449306299 " "
"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] = 2.899999999999982 " "
y[1] (analytic) = 1658.5610392526823 " "
y[1] (numeric) = 1658.5610392526705 " "
absolute error = 1.182343112304806700000000000E-11 " "
relative error = 7.1287283634586600000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000431688749 " "
"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] = 2.909999999999982 " "
y[1] (analytic) = 1692.0661932543233 " "
y[1] (numeric) = 1692.0661932543114 " "
absolute error = 1.182343112304806700000000000E-11 " "
relative error = 6.9875700904515180000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000414761988 " "
"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] = 2.9199999999999817 " "
y[1] (analytic) = 1726.2481962944494 " "
y[1] (numeric) = 1726.2481962944373 " "
absolute error = 1.205080479849129900000000000E-11 " "
relative error = 6.9809224562026830000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000398498939 " "
"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] = 2.9299999999999815 " "
y[1] (analytic) = 1761.1207216300427 " "
y[1] (numeric) = 1761.1207216300304 " "
absolute error = 1.227817847393453100000000000E-11 " "
relative error = 6.9717983117989790000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000382873573 " "
"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] = 2.9399999999999813 " "
y[1] (analytic) = 1796.6977187362106 " "
y[1] (numeric) = 1796.6977187361983 " "
absolute error = 1.227817847393453100000000000E-11 " "
relative error = 6.8337474611872650000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000367860885 " "
"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] = 2.949999999999981 " "
y[1] (analytic) = 1832.993418886162 " "
y[1] (numeric) = 1832.9934188861496 " "
absolute error = 1.250555214937776300000000000E-11 " "
relative error = 6.8224752039627590000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000353436851 " "
"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] = 2.959999999999981 " "
y[1] (analytic) = 1870.0223408439062 " "
y[1] (numeric) = 1870.0223408438935 " "
absolute error = 1.273292582482099500000000000E-11 " "
relative error = 6.8089698966242640000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000339578405 " "
"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] = 2.9699999999999807 " "
y[1] (analytic) = 1907.7992966719514 " "
y[1] (numeric) = 1907.7992966719387 " "
absolute error = 1.273292582482099500000000000E-11 " "
relative error = 6.6741432639339300000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000326263336 " "
"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] = 2.9799999999999804 " "
y[1] (analytic) = 1946.3393976563284 " "
y[1] (numeric) = 1946.3393976563157 " "
absolute error = 1.273292582482099500000000000E-11 " "
relative error = 6.5419863771720710000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000313470366 " "
"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] = 2.9899999999999802 " "
y[1] (analytic) = 1985.658060351306 " "
y[1] (numeric) = 1985.658060351293 " "
absolute error = 1.296029950026422700000000000E-11 " "
relative error = 6.5269543427690000000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000301179014 " "
"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] = 2.99999999999998 " "
y[1] (analytic) = 2025.7710127462178 " "
y[1] (numeric) = 2025.7710127462046 " "
absolute error = 1.31876731757074600000000000E-11 " "
relative error = 6.5099525527466760000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000289369623 " "
"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] = 3.00999999999998 " "
y[1] (analytic) = 2066.6943005568687 " "
y[1] (numeric) = 2066.694300556855 " "
absolute error = 1.364242052659392400000000000E-11 " "
relative error = 6.6010829578994760000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000278023279 " "
"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] = 3.0199999999999796 " "
y[1] (analytic) = 2108.444293644033 " "
y[1] (numeric) = 2108.4442936440196 " "
absolute error = 1.364242052659392400000000000E-11 " "
relative error = 6.4703727614333450000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000267121825 " "
"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] = 3.0299999999999794 " "
y[1] (analytic) = 2151.037692561621 " "
y[1] (numeric) = 2151.0376925616074 " "
absolute error = 1.364242052659392400000000000E-11 " "
relative error = 6.3422508000533830000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000256647834 " "
"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] = 3.039999999999979 " "
y[1] (analytic) = 2194.4915352371186 " "
y[1] (numeric) = 2194.4915352371045 " "
absolute error = 1.409716787748038800000000000E-11 " "
relative error = 6.4238880173931350000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000024658453 " "
"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] = 3.049999999999979 " "
y[1] (analytic) = 2238.823203786988 " "
y[1] (numeric) = 2238.823203786974 " "
absolute error = 1.409716787748038800000000000E-11 " "
relative error = 6.2966865153241720000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.5000002369158 " "
"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] = 3.0599999999999787 " "
y[1] (analytic) = 2284.050431469746 " "
y[1] (numeric) = 2284.050431469732 " "
absolute error = 1.409716787748038800000000000E-11 " "
relative error = 6.1720037715669480000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000227626204 " "
"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] = 3.0699999999999785 " "
y[1] (analytic) = 2330.191309779504 " "
y[1] (numeric) = 2330.1913097794895 " "
absolute error = 1.455191522836685200000000000E-11 " "
relative error = 6.2449444246463340000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000218700848 " "
"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] = 3.0799999999999783 " "
y[1] (analytic) = 2377.2642956828054 " "
y[1] (numeric) = 2377.264295682791 " "
absolute error = 1.455191522836685200000000000E-11 " "
relative error = 6.1212862426755140000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000210125464 " "
"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] = 3.089999999999978 " "
y[1] (analytic) = 2425.28821900166 " "
y[1] (numeric) = 2425.288219001645 " "
absolute error = 1.500666257925331600000000000E-11 " "
relative error = 6.1875790521221540000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000201886333 " "
"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] = 3.099999999999978 " "
y[1] (analytic) = 2474.2822899457224 " "
y[1] (numeric) = 2474.282289945707 " "
absolute error = 1.54614099301397800000000000E-11 " "
relative error = 6.2488463798037190000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000193970262 " "
"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] = 3.1099999999999777 " "
y[1] (analytic) = 2524.2661067966333 " "
y[1] (numeric) = 2524.266106796618 " "
absolute error = 1.54614099301397800000000000E-11 " "
relative error = 6.1251109336332040000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000186364575 " "
"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] = 3.1199999999999775 " "
y[1] (analytic) = 2575.259663747593 " "
y[1] (numeric) = 2575.2596637475776 " "
absolute error = 1.54614099301397800000000000E-11 " "
relative error = 6.0038256133130610000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000179057114 " "
"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] = 3.1299999999999772 " "
y[1] (analytic) = 2627.2833589013053 " "
y[1] (numeric) = 2627.28335890129 " "
absolute error = 1.54614099301397800000000000E-11 " "
relative error = 5.88494190310920000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000172036179 " "
"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] = 3.139999999999977 " "
y[1] (analytic) = 2680.3580024294897 " "
y[1] (numeric) = 2680.3580024294743 " "
absolute error = 1.54614099301397800000000000E-11 " "
relative error = 5.7684122479629520000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000165290546 " "
"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] = 3.149999999999977 " "
y[1] (analytic) = 2734.5048248972294 " "
y[1] (numeric) = 2734.5048248972134 " "
absolute error = 1.591615728102624400000000000E-11 " "
relative error = 5.820489741364570000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000158809414 " "
"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] = 3.1599999999999766 " "
y[1] (analytic) = 2789.7454857554785 " "
y[1] (numeric) = 2789.745485755462 " "
absolute error = 1.637090463191270800000000000E-11 " "
relative error = 5.8682430764752640000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000152582412 " "
"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] = 3.1699999999999764 " "
y[1] (analytic) = 2846.1020820051317 " "
y[1] (numeric) = 2846.1020820051153 " "
absolute error = 1.637090463191270800000000000E-11 " "
relative error = 5.7520440800138500000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000146599568 " "
"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] = 3.179999999999976 " "
y[1] (analytic) = 2903.5971570361207 " "
y[1] (numeric) = 2903.5971570361044 " "
absolute error = 1.637090463191270800000000000E-11 " "
relative error = 5.6381459777373160000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000140851313 " "
"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] = 3.189999999999976 " "
y[1] (analytic) = 2962.253709645069 " "
y[1] (numeric) = 2962.253709645053 " "
absolute error = 1.637090463191270800000000000E-11 " "
relative error = 5.5265032088943630000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000135328452 " "
"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] = 3.1999999999999758 " "
y[1] (analytic) = 3022.095203235119 " "
y[1] (numeric) = 3022.095203235102 " "
absolute error = 1.682565198279917200000000000E-11 " "
relative error = 5.5675453125326770000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000130022148 " "
"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] = 3.2099999999999755 " "
y[1] (analytic) = 3083.145575201602 " "
y[1] (numeric) = 3083.145575201585 " "
absolute error = 1.682565198279917200000000000E-11 " "
relative error = 5.4573005303841260000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000124923915 " "
"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] = 3.2199999999999753 " "
y[1] (analytic) = 3145.4292465073213 " "
y[1] (numeric) = 3145.4292465073045 " "
absolute error = 1.682565198279917200000000000E-11 " "
relative error = 5.3492387410978470000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000120025566 " "
"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] = 3.229999999999975 " "
y[1] (analytic) = 3208.9711314512597 " "
y[1] (numeric) = 3208.9711314512424 " "
absolute error = 1.728039933368563700000000000E-11 " "
relative error = 5.385027981186781000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000115319306 " "
"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] = 3.239999999999975 " "
y[1] (analytic) = 3273.7966476346305 " "
y[1] (numeric) = 3273.7966476346132 " "
absolute error = 1.728039933368563700000000000E-11 " "
relative error = 5.2783972841352240000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000110797577 " "
"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] = 3.2499999999999747 " "
y[1] (analytic) = 3339.9317261282595 " "
y[1] (numeric) = 3339.9317261282417 " "
absolute error = 1.7735146684572100000000000E-11 " "
relative error = 5.3100327009172630000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000106453133 " "
"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] = 3.2599999999999745 " "
y[1] (analytic) = 3407.4028218453564 " "
y[1] (numeric) = 3407.402821845338 " "
absolute error = 1.818989403545856500000000000E-11 " "
relative error = 5.3383456510749180000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000102279044 " "
"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] = 3.2699999999999743 " "
y[1] (analytic) = 3476.2369241238343 " "
y[1] (numeric) = 3476.236924123816 " "
absolute error = 1.818989403545856500000000000E-11 " "
relative error = 5.2326393259410020000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000009826863 " "
"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] = 3.279999999999974 " "
y[1] (analytic) = 3546.461567522406 " "
y[1] (numeric) = 3546.461567522387 " "
absolute error = 1.86446413863450300000000000E-11 " "
relative error = 5.2572517793757920000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000094415464 " "
"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] = 3.289999999999974 " "
y[1] (analytic) = 3618.104842834771 " "
y[1] (numeric) = 3618.104842834752 " "
absolute error = 1.86446413863450300000000000E-11 " "
relative error = 5.1531512203878050000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000090713371 " "
"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] = 3.2999999999999736 " "
y[1] (analytic) = 3691.195408326311 " "
y[1] (numeric) = 3691.1954083262917 " "
absolute error = 1.909938873723149300000000000E-11 " "
relative error = 5.1743098439461050000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000087156453 " "
"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] = 3.3099999999999734 " "
y[1] (analytic) = 3765.762501197776 " "
y[1] (numeric) = 3765.762501197757 " "
absolute error = 1.909938873723149300000000000E-11 " "
relative error = 5.0718516452263120000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000083738994 " "
"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] = 3.319999999999973 " "
y[1] (analytic) = 3841.835949280557 " "
y[1] (numeric) = 3841.8359492805375 " "
absolute error = 1.955413608811795700000000000E-11 " "
relative error = 5.0897894512595650000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000008045555 " "
"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] = 3.329999999999973 " "
y[1] (analytic) = 3919.446182968212 " "
y[1] (numeric) = 3919.4461829681923 " "
absolute error = 1.955413608811795700000000000E-11 " "
relative error = 4.9890048683637070000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000077300836 " "
"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] = 3.3399999999999728 " "
y[1] (analytic) = 3998.6242473890334 " "
y[1] (numeric) = 3998.6242473890134 " "
absolute error = 2.00088834390044200000000000E-11 " "
relative error = 5.003941906286781000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000074269835 " "
"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] = 3.3499999999999726 " "
y[1] (analytic) = 4079.4018148245113 " "
y[1] (numeric) = 4079.401814824491 " "
absolute error = 2.046363078989088500000000000E-11 " "
relative error = 5.0163312462935680000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000007135767 " "
"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] = 3.3599999999999723 " "
y[1] (analytic) = 4161.811197378669 " "
y[1] (numeric) = 4161.811197378648 " "
absolute error = 2.09183781407773500000000000E-11 " "
relative error = 5.0262679272795610000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000068559697 " "
"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] = 3.369999999999972 " "
y[1] (analytic) = 4245.885359903333 " "
y[1] (numeric) = 4245.885359903312 " "
absolute error = 2.09183781407773500000000000E-11 " "
relative error = 4.9267411547007955000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000006587142 " "
"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] = 3.379999999999972 " "
y[1] (analytic) = 4331.657933184519 " "
y[1] (numeric) = 4331.657933184497 " "
absolute error = 2.182787284255027800000000000E-11 " "
relative error = 5.0391497157078170000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000006328857 " "
"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] = 3.3899999999999717 " "
y[1] (analytic) = 4419.163227395186 " "
y[1] (numeric) = 4419.1632273951645 " "
absolute error = 2.182787284255027800000000000E-11 " "
relative error = 4.9393678665760465000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000060806999 " "
"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] = 3.3999999999999715 " "
y[1] (analytic) = 4508.436245819775 " "
y[1] (numeric) = 4508.436245819752 " "
absolute error = 2.273736754432320600000000000E-11 " "
relative error = 5.0432935733327300000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000058422716 " "
"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] = 3.4099999999999713 " "
y[1] (analytic) = 4599.512698855975 " "
y[1] (numeric) = 4599.512698855952 " "
absolute error = 2.273736754432320600000000000E-11 " "
relative error = 4.9434296702732466000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000056131931 " "
"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] = 3.419999999999971 " "
y[1] (analytic) = 4692.429018299372 " "
y[1] (numeric) = 4692.429018299349 " "
absolute error = 2.273736754432320600000000000E-11 " "
relative error = 4.8455432049483980000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000053930961 " "
"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] = 3.429999999999971 " "
y[1] (analytic) = 4787.222371916643 " "
y[1] (numeric) = 4787.2223719166195 " "
absolute error = 2.364686224609613400000000000E-11 " "
relative error = 4.939578822328390400000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000051816299 " "
"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] = 3.4399999999999706 " "
y[1] (analytic) = 4883.930678313163 " "
y[1] (numeric) = 4883.93067831314 " "
absolute error = 2.364686224609613400000000000E-11 " "
relative error = 4.8417686088581850000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000049784555 " "
"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] = 3.4499999999999704 " "
y[1] (analytic) = 4982.592622100952 " "
y[1] (numeric) = 4982.592622100929 " "
absolute error = 2.364686224609613400000000000E-11 " "
relative error = 4.7458951673486870000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000047832483 " "
"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] = 3.45999999999997 " "
y[1] (analytic) = 5083.247669373036 " "
y[1] (numeric) = 5083.247669373012 " "
absolute error = 2.364686224609613400000000000E-11 " "
relative error = 4.651920147147330000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000045956934 " "
"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] = 3.46999999999997 " "
y[1] (analytic) = 5185.936083490408 " "
y[1] (numeric) = 5185.936083490384 " "
absolute error = 2.455635694786906200000000000E-11 " "
relative error = 4.7351831091873653000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000004415494 " "
"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] = 3.47999999999997 " "
y[1] (analytic) = 5290.698941187913 " "
y[1] (numeric) = 5290.698941187888 " "
absolute error = 2.54658516496419900000000000E-11 " "
relative error = 4.8133246538356567000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000042423597 " "
"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] = 3.4899999999999696 " "
y[1] (analytic) = 5397.578149005486 " "
y[1] (numeric) = 5397.57814900546 " "
absolute error = 2.63753463514149200000000000E-11 " "
relative error = 4.8865149560223836000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000040760147 " "
"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] = 3.4999999999999694 " "
y[1] (analytic) = 5506.616460051330 " "
y[1] (numeric) = 5506.616460051302 " "
absolute error = 2.728484105318784700000000000E-11 " "
relative error = 4.9549194593686140000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000039161923 " "
"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] = 3.509999999999969 " "
y[1] (analytic) = 5617.857491103724 " "
y[1] (numeric) = 5617.857491103697 " "
absolute error = 2.728484105318784700000000000E-11 " "
relative error = 4.8568054808074660000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000037626357 " "
"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] = 3.519999999999969 " "
y[1] (analytic) = 5731.345740058327 " "
y[1] (numeric) = 5731.345740058298 " "
absolute error = 2.819433575496077500000000000E-11 " "
relative error = 4.9193220988049920000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000036151013 " "
"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] = 3.5299999999999687 " "
y[1] (analytic) = 5847.126603727914 " "
y[1] (numeric) = 5847.126603727886 " "
absolute error = 2.819433575496077500000000000E-11 " "
relative error = 4.8219129951769980000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000034733507 " "
"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] = 3.5399999999999685 " "
y[1] (analytic) = 5965.246396001720 " "
y[1] (numeric) = 5965.246396001691 " "
absolute error = 2.819433575496077500000000000E-11 " "
relative error = 4.7264327210118895000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000033371585 " "
"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] = 3.5499999999999683 " "
y[1] (analytic) = 6085.752366371606 " "
y[1] (numeric) = 6085.7523663715765 " "
absolute error = 2.910383045673370400000000000E-11 " "
relative error = 4.7822896339907667000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000032063072 " "
"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] = 3.559999999999968 " "
y[1] (analytic) = 6208.692718832486 " "
y[1] (numeric) = 6208.692718832457 " "
absolute error = 2.910383045673370400000000000E-11 " "
relative error = 4.6875939549165735000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000030805857 " "
"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] = 3.569999999999968 " "
y[1] (analytic) = 6334.116631164574 " "
y[1] (numeric) = 6334.116631164544 " "
absolute error = 3.00133251585066300000000000E-11 " "
relative error = 4.7383600438990440000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000029597942 " "
"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] = 3.5799999999999677 " "
y[1] (analytic) = 6462.074274605141 " "
y[1] (numeric) = 6462.074274605111 " "
absolute error = 3.00133251585066300000000000E-11 " "
relative error = 4.6445342289632790000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000028437391 " "
"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] = 3.5899999999999674 " "
y[1] (analytic) = 6592.616833917690 " "
y[1] (numeric) = 6592.616833917660 " "
absolute error = 3.00133251585066300000000000E-11 " "
relative error = 4.5525662896247965000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000027322343 " "
"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] = 3.5999999999999672 " "
y[1] (analytic) = 6725.796527866535 " "
y[1] (numeric) = 6725.796527866504 " "
absolute error = 3.09228198602795600000000000E-11 " "
relative error = 4.5976442689217767000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000026251016 " "
"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] = 3.609999999999967 " "
y[1] (analytic) = 6861.66663010501 " "
y[1] (numeric) = 6861.666630104978 " "
absolute error = 3.18323145620524900000000000E-11 " "
relative error = 4.6391520133593744000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000025221704 " "
"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] = 3.619999999999967 " "
y[1] (analytic) = 7000.281490485634 " "
y[1] (numeric) = 7000.281490485602 " "
absolute error = 3.18323145620524900000000000E-11 " "
relative error = 4.5472906489999115000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000024232742 " "
"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] = 3.6299999999999666 " "
y[1] (analytic) = 7141.6965568007845 " "
y[1] (numeric) = 7141.696556800752 " "
absolute error = 3.274180926382541700000000000E-11 " "
relative error = 4.5845982118417720000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000023282563 " "
"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] = 3.6399999999999664 " "
y[1] (analytic) = 7285.968396962545 " "
y[1] (numeric) = 7285.968396962512 " "
absolute error = 3.274180926382541700000000000E-11 " "
relative error = 4.4938170851077514000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000022369651 " "
"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] = 3.649999999999966 " "
y[1] (analytic) = 7433.154721630630 " "
y[1] (numeric) = 7433.154721630597 " "
absolute error = 3.365130396559834500000000000E-11 " "
relative error = 4.5271900324733410000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000021492514 " "
"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] = 3.659999999999966 " "
y[1] (analytic) = 7583.31440729742 " "
y[1] (numeric) = 7583.3144072973855 " "
absolute error = 3.45607986673712730000000000E-11 " "
relative error = 4.557479330424890600000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000020649788 " "
"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] = 3.6699999999999657 " "
y[1] (analytic) = 7736.507519839335 " "
y[1] (numeric) = 7736.5075198393 " "
absolute error = 3.5470293369144200000000000E-11 " "
relative error = 4.584794014377280000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000001984009 " "
"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] = 3.6799999999999655 " "
y[1] (analytic) = 7892.795338543994 " "
y[1] (numeric) = 7892.795338543959 " "
absolute error = 3.5470293369144200000000000E-11 " "
relative error = 4.4940090104613690000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000019062158 " "
"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] = 3.6899999999999653 " "
y[1] (analytic) = 8052.240380622746 " "
y[1] (numeric) = 8052.240380622710 " "
absolute error = 3.63797880709171300000000000E-11 " "
relative error = 4.5179709436473110000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000001831472 " "
"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] = 3.699999999999965 " "
y[1] (analytic) = 8214.906426218382 " "
y[1] (numeric) = 8214.906426218346 " "
absolute error = 3.63797880709171300000000000E-11 " "
relative error = 4.42850912516894730000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000017596586 " "
"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] = 3.709999999999965 " "
y[1] (analytic) = 8380.858543918053 " "
y[1] (numeric) = 8380.858543918015 " "
absolute error = 3.819877747446298600000000000E-11 " "
relative error = 4.5578597078438520000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000001690661 " "
"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] = 3.7199999999999647 " "
y[1] (analytic) = 8550.163116781561 " "
y[1] (numeric) = 8550.163116781523 " "
absolute error = 3.819877747446298600000000000E-11 " "
relative error = 4.4676080389027370000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000016243694 " "
"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] = 3.7299999999999645 " "
y[1] (analytic) = 8722.887868895476 " "
y[1] (numeric) = 8722.887868895437 " "
absolute error = 3.819877747446298600000000000E-11 " "
relative error = 4.37914347273385960000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000015606766 " "
"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] = 3.7399999999999642 " "
y[1] (analytic) = 8899.101892463672 " "
y[1] (numeric) = 8899.101892463632 " "
absolute error = 4.00177668780088400000000000E-11 " "
relative error = 4.49683208053819950000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000014994823 " "
"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] = 3.749999999999964 " "
y[1] (analytic) = 9078.875675445126 " "
y[1] (numeric) = 9078.875675445086 " "
absolute error = 4.00177668780088400000000000E-11 " "
relative error = 4.40778883956320100000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000014406865 " "
"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] = 3.759999999999964 " "
y[1] (analytic) = 9262.281129750048 " "
y[1] (numeric) = 9262.281129750008 " "
absolute error = 4.00177668780088400000000000E-11 " "
relative error = 4.320508772884630000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000013841966 " "
"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] = 3.7699999999999636 " "
y[1] (analytic) = 9449.3916200056 " "
y[1] (numeric) = 9449.39162000556 " "
absolute error = 4.00177668780088400000000000E-11 " "
relative error = 4.23495696731268860000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000001329921 " "
"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] = 3.7799999999999634 " "
y[1] (analytic) = 9640.281992902721 " "
y[1] (numeric) = 9640.28199290268 " "
absolute error = 4.1836756281554700000000000E-11 " "
relative error = 4.33978552830252940000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000012777742 " "
"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] = 3.789999999999963 " "
y[1] (analytic) = 9835.02860713581 " "
y[1] (numeric) = 9835.028607135768 " "
absolute error = 4.1836756281554700000000000E-11 " "
relative error = 4.253852017390170000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000012276718 " "
"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] = 3.799999999999963 " "
y[1] (analytic) = 10033.709363947217 " "
y[1] (numeric) = 10033.709363947173 " "
absolute error = 4.365574568510055500000000000E-11 " "
relative error = 4.3509079346032180000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000011795338 " "
"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] = 3.8099999999999627 " "
y[1] (analytic) = 10236.403738288776 " "
y[1] (numeric) = 10236.403738288733 " "
absolute error = 4.365574568510055500000000000E-11 " "
relative error = 4.2647541852817250000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000011332839 " "
"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] = 3.8199999999999625 " "
y[1] (analytic) = 10443.192810612856 " "
y[1] (numeric) = 10443.19281061281 " "
absolute error = 4.54747350886464100000000000E-11 " "
relative error = 4.35448582759411300000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000001088848 " "
"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] = 3.8299999999999623 " "
y[1] (analytic) = 10654.159299305607 " "
y[1] (numeric) = 10654.15929930556 " "
absolute error = 4.72937244921922700000000000E-11 " "
relative error = 4.43899168048619950000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000010461534 " "
"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] = 3.839999999999962 " "
y[1] (analytic) = 10869.387593775431 " "
y[1] (numeric) = 10869.387593775384 " "
absolute error = 4.72937244921922700000000000E-11 " "
relative error = 4.35109375612623750000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000010051327 " "
"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] = 3.849999999999962 " "
y[1] (analytic) = 11088.963788209867 " "
y[1] (numeric) = 11088.963788209818 " "
absolute error = 4.911271389573812500000000000E-11 " "
relative error = 4.428972339864280000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000009657215 " "
"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] = 3.8599999999999617 " "
y[1] (analytic) = 11312.975716014407 " "
y[1] (numeric) = 11312.975716014358 " "
absolute error = 4.911271389573812500000000000E-11 " "
relative error = 4.3412728117338050000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000927855 " "
"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] = 3.8699999999999615 " "
y[1] (analytic) = 11541.51298494704 " "
y[1] (numeric) = 11541.51298494699 " "
absolute error = 4.911271389573812500000000000E-11 " "
relative error = 4.2553098506056475000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000891473 " "
"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] = 3.8799999999999613 " "
y[1] (analytic) = 11774.667012962544 " "
y[1] (numeric) = 11774.667012962493 " "
absolute error = 5.09317032992839800000000000E-11 " "
relative error = 4.3255323690439890000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000008565166 " "
"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] = 3.889999999999961 " "
y[1] (analytic) = 12012.531064780886 " "
y[1] (numeric) = 12012.531064780835 " "
absolute error = 5.09317032992839800000000000E-11 " "
relative error = 4.23988108955729000000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000008229335 " "
"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] = 3.899999999999961 " "
y[1] (analytic) = 12255.200289194356 " "
y[1] (numeric) = 12255.200289194305 " "
absolute error = 5.09317032992839800000000000E-11 " "
relative error = 4.15592581903303840000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000007906655 " "
"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] = 3.9099999999999606 " "
y[1] (analytic) = 12502.771757128354 " "
y[1] (numeric) = 12502.771757128301 " "
absolute error = 5.27506927028298400000000000E-11 " "
relative error = 4.219119866181229600000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000759663 " "
"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] = 3.9199999999999604 " "
y[1] (analytic) = 12755.344500471048 " "
y[1] (numeric) = 12755.344500470996 " "
absolute error = 5.27506927028298400000000000E-11 " "
relative error = 4.1355756954178530000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000729876 " "
"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] = 3.92999999999996 " "
y[1] (analytic) = 13013.01955168746 " "
y[1] (numeric) = 13013.019551687405 " "
absolute error = 5.456968210637569000000000000E-11 " "
relative error = 4.19346807938203600000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000007012574 " "
"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] = 3.93999999999996 " "
y[1] (analytic) = 13275.899984233785 " "
y[1] (numeric) = 13275.899984233729 " "
absolute error = 5.63886715099215500000000000E-11 " "
relative error = 4.247446242958120000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000673761 " "
"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] = 3.9499999999999598 " "
y[1] (analytic) = 13544.090953788163 " "
y[1] (numeric) = 13544.090953788107 " "
absolute error = 5.63886715099215500000000000E-11 " "
relative error = 4.16334117234720250000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000006473417 " "
"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] = 3.9599999999999596 " "
y[1] (analytic) = 13817.699740314345 " "
y[1] (numeric) = 13817.699740314287 " "
absolute error = 5.82076609134674100000000000E-11 " "
relative error = 4.21254347738078850000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000006219594 " "
"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] = 3.9699999999999593 " "
y[1] (analytic) = 14096.835790975107 " "
y[1] (numeric) = 14096.835790975047 " "
absolute error = 6.00266503170132600000000000E-11 " "
relative error = 4.2581648255733207000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000005975718 " "
"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] = 3.979999999999959 " "
y[1] (analytic) = 14381.610763912573 " "
y[1] (numeric) = 14381.610763912513 " "
absolute error = 6.00266503170132600000000000E-11 " "
relative error = 4.1738475127999347000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000005741411 " "
"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] = 3.989999999999959 " "
y[1] (analytic) = 14672.13857291297 " "
y[1] (numeric) = 14672.13857291291 " "
absolute error = 6.00266503170132600000000000E-11 " "
relative error = 4.09119979467967350000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000005516286 " "
"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] = 3.9999999999999587 " "
y[1] (analytic) = 14968.535432973656 " "
y[1] (numeric) = 14968.535432973595 " "
absolute error = 6.18456397205591200000000000E-11 " "
relative error = 4.1317094780242530000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000005299986 " "
"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] = 4.009999999999959 " "
y[1] (analytic) = 15270.919906790665 " "
y[1] (numeric) = 15270.919906790603 " "
absolute error = 6.18456397205591200000000000E-11 " "
relative error = 4.0498961488926170000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000005092172 " "
"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] = 4.019999999999959 " "
y[1] (analytic) = 15579.41295218537 " "
y[1] (numeric) = 15579.412952185306 " "
absolute error = 6.36646291241049800000000000E-11 " "
relative error = 4.0864587978698230000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000004892513 " "
"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] = 4.0299999999999585 " "
y[1] (analytic) = 15894.137970489224 " "
y[1] (numeric) = 15894.13797048916 " "
absolute error = 6.36646291241049800000000000E-11 " "
relative error = 4.00554149223516340000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000004700667 " "
"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] = 4.039999999999958 " "
y[1] (analytic) = 16215.22085590594 " "
y[1] (numeric) = 16215.220855905874 " "
absolute error = 6.54836185276508300000000000E-11 " "
relative error = 4.03840435536221840000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000451635 " "
"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] = 4.049999999999958 " "
y[1] (analytic) = 16542.790045870846 " "
y[1] (numeric) = 16542.790045870777 " "
absolute error = 6.91215973347425500000000000E-11 " "
relative error = 4.17835184651911830000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000433927 " "
"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] = 4.059999999999958 " "
y[1] (analytic) = 16876.97657242757 " "
y[1] (numeric) = 16876.976572427502 " "
absolute error = 6.91215973347425500000000000E-11 " "
relative error = 4.095614936603550000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000004169117 " "
"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] = 4.069999999999958 " "
y[1] (analytic) = 17217.914114642626 " "
y[1] (numeric) = 17217.914114642554 " "
absolute error = 7.27595761418342600000000000E-11 " "
relative error = 4.2258066602828126000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000004005642 " "
"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] = 4.079999999999957 " "
y[1] (analytic) = 17565.739052078785 " "
y[1] (numeric) = 17565.739052078712 " "
absolute error = 7.27595761418342600000000000E-11 " "
relative error = 4.14213008209430630000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000003848589 " "
"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] = 4.089999999999957 " "
y[1] (analytic) = 17920.590519348752 " "
y[1] (numeric) = 17920.59051934868 " "
absolute error = 7.27595761418342600000000000E-11 " "
relative error = 4.0601104111650893000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000003697677 " "
"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] = 4.099999999999957 " "
y[1] (analytic) = 18282.61046177085 " "
y[1] (numeric) = 18282.61046177078 " "
absolute error = 7.27595761418342600000000000E-11 " "
relative error = 3.9797148385333360000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000003552683 " "
"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] = 4.109999999999957 " "
y[1] (analytic) = 18651.94369214905 " "
y[1] (numeric) = 18651.943692148976 " "
absolute error = 7.27595761418342600000000000E-11 " "
relative error = 3.90091120489818600000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000003413387 " "
"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] = 4.119999999999957 " "
y[1] (analytic) = 19028.737948700003 " "
y[1] (numeric) = 19028.73794869993 " "
absolute error = 7.27595761418342600000000000E-11 " "
relative error = 3.8236679877555940000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000327954 " "
"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] = 4.129999999999956 " "
y[1] (analytic) = 19413.143954150328 " "
y[1] (numeric) = 19413.14395415025 " "
absolute error = 7.63975549489259700000000000E-11 " "
relative error = 3.93535200322835800000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000003150957 " "
"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] = 4.139999999999956 " "
y[1] (analytic) = 19805.31547602768 " "
y[1] (numeric) = 19805.315476027605 " "
absolute error = 7.63975549489259700000000000E-11 " "
relative error = 3.85742681258460340000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000003027406 " "
"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] = 4.149999999999956 " "
y[1] (analytic) = 20205.40938816984 " "
y[1] (numeric) = 20205.409388169763 " "
absolute error = 7.63975549489259700000000000E-11 " "
relative error = 3.78104464409695860000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000002908697 " "
"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] = 4.159999999999956 " "
y[1] (analytic) = 20613.585733476317 " "
y[1] (numeric) = 20613.585733476237 " "
absolute error = 8.00355337560176800000000000E-11 " "
relative error = 3.88265946501682830000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000002794648 " "
"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] = 4.1699999999999555 " "
y[1] (analytic) = 21030.007787927658 " "
y[1] (numeric) = 21030.007787927578 " "
absolute error = 8.00355337560176800000000000E-11 " "
relative error = 3.80577765653336230000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000002685065 " "
"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] = 4.179999999999955 " "
y[1] (analytic) = 21454.842125898012 " "
y[1] (numeric) = 21454.842125897932 " "
absolute error = 8.00355337560176800000000000E-11 " "
relative error = 3.7304182098551670000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000002579787 " "
"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] = 4.189999999999955 " "
y[1] (analytic) = 21888.2586867871 " "
y[1] (numeric) = 21888.25868678702 " "
absolute error = 8.00355337560176800000000000E-11 " "
relative error = 3.65655098019886440000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000002478625 " "
"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] = 4.199999999999955 " "
y[1] (analytic) = 22330.430842998245 " "
y[1] (numeric) = 22330.43084299816 " "
absolute error = 8.3673512563109400000000000E-11 " "
relative error = 3.74706216603722200000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000002381444 " "
"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] = 4.209999999999955 " "
y[1] (analytic) = 22781.535469289636 " "
y[1] (numeric) = 22781.53546928955 " "
absolute error = 8.73114913702011100000000000E-11 " "
relative error = 3.83255516239896450000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000002288068 " "
"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] = 4.2199999999999545 " "
y[1] (analytic) = 23241.7530135266 " "
y[1] (numeric) = 23241.75301352651 " "
absolute error = 8.73114913702011100000000000E-11 " "
relative error = 3.7566654855761610000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000002198348 " "
"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] = 4.229999999999954 " "
y[1] (analytic) = 23711.267568863143 " "
y[1] (numeric) = 23711.267568863055 " "
absolute error = 8.73114913702011100000000000E-11 " "
relative error = 3.68227852503573870000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000002112149 " "
"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] = 4.239999999999954 " "
y[1] (analytic) = 24190.266947381682 " "
y[1] (numeric) = 24190.26694738159 " "
absolute error = 9.09494701772928200000000000E-11 " "
relative error = 3.7597547135434590000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000002029331 " "
"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] = 4.249999999999954 " "
y[1] (analytic) = 24678.942755220367 " "
y[1] (numeric) = 24678.942755220276 " "
absolute error = 9.09494701772928200000000000E-11 " "
relative error = 3.6853065821895536000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000194976 " "
"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] = 4.259999999999954 " "
y[1] (analytic) = 25177.490469218097 " "
y[1] (numeric) = 25177.490469218006 " "
absolute error = 9.09494701772928200000000000E-11 " "
relative error = 3.612332622605390300000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000187331 " "
"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] = 4.269999999999953 " "
y[1] (analytic) = 25686.109515107863 " "
y[1] (numeric) = 25686.10951510777 " "
absolute error = 9.09494701772928200000000000E-11 " "
relative error = 3.54080364423420560000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000001799858 " "
"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] = 4.279999999999953 " "
y[1] (analytic) = 26205.0033472897 " "
y[1] (numeric) = 26205.003347289607 " "
absolute error = 9.45874489843845400000000000E-11 " "
relative error = 3.60951867591222440000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000001729278 " "
"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] = 4.289999999999953 " "
y[1] (analytic) = 26734.379530215152 " "
y[1] (numeric) = 26734.379530215057 " "
absolute error = 9.45874489843845400000000000E-11 " "
relative error = 3.53804541741774670000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000001661471 " "
"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] = 4.299999999999953 " "
y[1] (analytic) = 27274.44982141584 " "
y[1] (numeric) = 27274.449821415743 " "
absolute error = 9.82254277914762500000000000E-11 " "
relative error = 3.6013715559662673000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000159633 " "
"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] = 4.3099999999999525 " "
y[1] (analytic) = 27825.43025620927 " "
y[1] (numeric) = 27825.430256209173 " "
absolute error = 9.82254277914762500000000000E-11 " "
relative error = 3.53005962125445100000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000001533733 " "
"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] = 4.319999999999952 " "
y[1] (analytic) = 28387.54123411587 " "
y[1] (numeric) = 28387.541234115768 " "
absolute error = 1.01863406598567960000000000E-10 " "
relative error = 3.58831382254936200000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000001473593 " "
"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] = 4.329999999999952 " "
y[1] (analytic) = 28961.00760702171 " "
y[1] (numeric) = 28961.007607021606 " "
absolute error = 1.05501385405659680000000000E-10 " "
relative error = 3.642876892863370000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000001415819 " "
"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] = 4.339999999999952 " "
y[1] (analytic) = 29546.058769122275 " "
y[1] (numeric) = 29546.05876912217 " "
absolute error = 1.05501385405659680000000000E-10 " "
relative error = 3.5707430974149450000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000001360291 " "
"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] = 4.349999999999952 " "
y[1] (analytic) = 30142.928748683193 " "
y[1] (numeric) = 30142.928748683084 " "
absolute error = 1.09139364212751390000000000E-10 " "
relative error = 3.6207286001536660000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000001306962 " "
"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] = 4.3599999999999515 " "
y[1] (analytic) = 30751.856301654658 " "
y[1] (numeric) = 30751.856301654545 " "
absolute error = 1.1277734301984310000000000E-10 " "
relative error = 3.66733448262682340000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000001255716 " "
"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] = 4.369999999999951 " "
y[1] (analytic) = 31373.085007177004 " "
y[1] (numeric) = 31373.085007176887 " "
absolute error = 1.16415321826934810000000000E-10 " "
relative error = 3.7106749878216720000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000001206482 " "
"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] = 4.379999999999951 " "
y[1] (analytic) = 32006.863365015597 " "
y[1] (numeric) = 32006.863365015477 " "
absolute error = 1.20053300634026530000000000E-10 " "
relative error = 3.7508611595239340000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000001159169 " "
"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] = 4.389999999999950 " "
y[1] (analytic) = 32653.44489496406 " "
y[1] (numeric) = 32653.44489496394 " "
absolute error = 1.20053300634026530000000000E-10 " "
relative error = 3.6765891323319950000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000001113717 " "
"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] = 4.399999999999950 " "
y[1] (analytic) = 33313.08823825559 " "
y[1] (numeric) = 33313.08823825546 " "
absolute error = 1.23691279441118240000000000E-10 " "
relative error = 3.71299348041456870000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000001070049 " "
"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] = 4.40999999999995 " "
y[1] (analytic) = 33986.05726102284 " "
y[1] (numeric) = 33986.05726102272 " "
absolute error = 1.23691279441118240000000000E-10 " "
relative error = 3.63947128350703100000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000102809 " "
"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] = 4.41999999999995 " "
y[1] (analytic) = 34672.62115984798 " "
y[1] (numeric) = 34672.62115984785 " "
absolute error = 1.30967237055301670000000000E-10 " "
relative error = 3.77725227208856040000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000987782 " "
"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] = 4.42999999999995 " "
y[1] (analytic) = 35373.05456944483 " "
y[1] (numeric) = 35373.0545694447 " "
absolute error = 1.30967237055301670000000000E-10 " "
relative error = 3.7024576658536830000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000949044 " "
"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] = 4.43999999999995 " "
y[1] (analytic) = 36087.63767251648 " "
y[1] (numeric) = 36087.63767251634 " "
absolute error = 1.3824319466948510000000000E-10 " "
relative error = 3.83076320827638870000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000091184 " "
"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] = 4.4499999999999496 " "
y[1] (analytic) = 36816.65631183205 " "
y[1] (numeric) = 36816.65631183191 " "
absolute error = 1.3824319466948510000000000E-10 " "
relative error = 3.75490901451191350000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000876076 " "
"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] = 4.459999999999950 " "
y[1] (analytic) = 37560.40210456765 " "
y[1] (numeric) = 37560.40210456751 " "
absolute error = 1.3824319466948510000000000E-10 " "
relative error = 3.68055683441880940000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000084173 " "
"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] = 4.469999999999950 " "
y[1] (analytic) = 38319.172558957114 " "
y[1] (numeric) = 38319.172558956976 " "
absolute error = 1.3824319466948510000000000E-10 " "
relative error = 3.60767692613369660000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000808729 " "
"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] = 4.479999999999949 " "
y[1] (analytic) = 39093.271193299275 " "
y[1] (numeric) = 39093.27119329914 " "
absolute error = 1.3824319466948510000000000E-10 " "
relative error = 3.53624013672154570000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000077701 " "
"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] = 4.489999999999949 " "
y[1] (analytic) = 39883.00765736932 " "
y[1] (numeric) = 39883.00765736918 " "
absolute error = 1.45519152283668520000000000E-10 " "
relative error = 3.6486504110674920000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000746544 " "
"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] = 4.4999999999999485 " "
y[1] (analytic) = 40688.697856282844 " "
y[1] (numeric) = 40688.69785628269 " "
absolute error = 1.52795109897851940000000000E-10 " "
relative error = 3.7552224069087153000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000717273 " "
"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] = 4.509999999999948 " "
y[1] (analytic) = 41510.66407686208 " "
y[1] (numeric) = 41510.664076861925 " "
absolute error = 1.52795109897851940000000000E-10 " "
relative error = 3.68086402122917300000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000689157 " "
"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] = 4.519999999999948 " "
y[1] (analytic) = 42349.235116554955 " "
y[1] (numeric) = 42349.2351165548 " "
absolute error = 1.52795109897851940000000000E-10 " "
relative error = 3.60797803023653800000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000662126 " "
"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] = 4.529999999999948 " "
y[1] (analytic) = 43204.746414958456 " "
y[1] (numeric) = 43204.746414958296 " "
absolute error = 1.60071067512035370000000000E-10 " "
relative error = 3.7049417203989227000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000063617 " "
"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] = 4.539999999999948 " "
y[1] (analytic) = 44077.54018799891 " "
y[1] (numeric) = 44077.54018799874 " "
absolute error = 1.6734702512621880000000000E-10 " "
relative error = 3.7966507298831240000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000611221 " "
"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] = 4.549999999999947 " "
y[1] (analytic) = 44967.96556482292 " "
y[1] (numeric) = 44967.965564822756 " "
absolute error = 1.6734702512621880000000000E-10 " "
relative error = 3.72147200844525850000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000587256 " "
"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] = 4.559999999999947 " "
y[1] (analytic) = 45876.37872745374 " "
y[1] (numeric) = 45876.37872745357 " "
absolute error = 1.6734702512621880000000000E-10 " "
relative error = 3.6477819254306915000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000564228 " "
"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] = 4.569999999999947 " "
y[1] (analytic) = 46803.143053268745 " "
y[1] (numeric) = 46803.14305326857 " "
absolute error = 1.74622982740402220000000000E-10 " "
relative error = 3.73100974312037150000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000542103 " "
"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] = 4.579999999999947 " "
y[1] (analytic) = 47748.62926035528 " "
y[1] (numeric) = 47748.629260355105 " "
absolute error = 1.74622982740402220000000000E-10 " "
relative error = 3.65713080030525940000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000052085 " "
"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] = 4.589999999999947 " "
y[1] (analytic) = 48713.21555580284 " "
y[1] (numeric) = 48713.21555580266 " "
absolute error = 1.81898940354585650000000000E-10 " "
relative error = 3.7340778735128560000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000500426 " "
"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] = 4.599999999999946 " "
y[1] (analytic) = 49697.28778699091 " "
y[1] (numeric) = 49697.28778699073 " "
absolute error = 1.81898940354585650000000000E-10 " "
relative error = 3.6601381776451930000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.5000000004808 " "
"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] = 4.609999999999946 " "
y[1] (analytic) = 50701.239595933126 " "
y[1] (numeric) = 50701.239595932944 " "
absolute error = 1.81898940354585650000000000E-10 " "
relative error = 3.5876625858507855000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000461949 " "
"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] = 4.619999999999946 " "
y[1] (analytic) = 51725.47257673925 " "
y[1] (numeric) = 51725.47257673907 " "
absolute error = 1.81898940354585650000000000E-10 " "
relative error = 3.51662210692657700000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000443835 " "
"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] = 4.629999999999946 " "
y[1] (analytic) = 52770.39643625824 " "
y[1] (numeric) = 52770.39643625805 " "
absolute error = 1.89174897968769070000000000E-10 " "
relative error = 3.58486785668314770000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000042643 " "
"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] = 4.6399999999999455 " "
y[1] (analytic) = 53836.42915796639 " "
y[1] (numeric) = 53836.4291579662 " "
absolute error = 1.89174897968769070000000000E-10 " "
relative error = 3.51388271710394660000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000409711 " "
"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] = 4.649999999999945 " "
y[1] (analytic) = 54923.99716916636 " "
y[1] (numeric) = 54923.99716916616 " "
absolute error = 1.9645085558295250000000000E-10 " "
relative error = 3.57677637659695960000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000393646 " "
"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] = 4.659999999999945 " "
y[1] (analytic) = 56033.53551156372 " "
y[1] (numeric) = 56033.53551156352 " "
absolute error = 2.03726813197135930000000000E-10 " "
relative error = 3.63580151309732260000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000037822 " "
"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] = 4.669999999999945 " "
y[1] (analytic) = 57165.48801528947 " "
y[1] (numeric) = 57165.488015289266 " "
absolute error = 2.03726813197135930000000000E-10 " "
relative error = 3.5638078195474720000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000363379 " "
"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] = 4.679999999999945 " "
y[1] (analytic) = 58320.30747643800 " "
y[1] (numeric) = 58320.307476437796 " "
absolute error = 2.11002770811319350000000000E-10 " "
relative error = 3.61799825723769730000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000349134 " "
"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] = 4.689999999999944 " "
y[1] (analytic) = 59498.455838191585 " "
y[1] (numeric) = 59498.45583819137 " "
absolute error = 2.18278728425502780000000000E-10 " "
relative error = 3.6686452673514830000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000335447 " "
"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] = 4.699999999999944 " "
y[1] (analytic) = 60700.404375603764 " "
y[1] (numeric) = 60700.40437560354 " "
absolute error = 2.2555468603968620000000000E-10 " "
relative error = 3.71586793135663840000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000322295 " "
"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] = 4.709999999999944 " "
y[1] (analytic) = 61926.63388411569 " "
y[1] (numeric) = 61926.633884115465 " "
absolute error = 2.2555468603968620000000000E-10 " "
relative error = 3.64228881650131900000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000309653 " "
"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] = 4.719999999999944 " "
y[1] (analytic) = 63177.634871880735 " "
y[1] (numeric) = 63177.6348718805 " "
absolute error = 2.32830643653869630000000000E-10 " "
relative error = 3.68533333237358150000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000297515 " "
"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] = 4.729999999999944 " "
y[1] (analytic) = 64453.90775597422 " "
y[1] (numeric) = 64453.90775597398 " "
absolute error = 2.40106601268053050000000000E-10 " "
relative error = 3.7252450569344670000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000285842 " "
"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] = 4.739999999999943 " "
y[1] (analytic) = 65755.963062567 " "
y[1] (numeric) = 65755.96306256675 " "
absolute error = 2.4738255888223648000000000E-10 " "
relative error = 3.7621311795988940000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000274644 " "
"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] = 4.749999999999943 " "
y[1] (analytic) = 67084.32163114265 " "
y[1] (numeric) = 67084.3216311424 " "
absolute error = 2.4738255888223648000000000E-10 " "
relative error = 3.68763599105090660000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000263874 " "
"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] = 4.759999999999943 " "
y[1] (analytic) = 68439.51482284031 " "
y[1] (numeric) = 68439.51482284006 " "
absolute error = 2.4738255888223648000000000E-10 " "
relative error = 3.614615906068310300000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000025352 " "
"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] = 4.769999999999943 " "
y[1] (analytic) = 69822.08473300615 " "
y[1] (numeric) = 69822.08473300589 " "
absolute error = 2.61934474110603330000000000E-10 " "
relative error = 3.75145593421077300000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000243585 " "
"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] = 4.7799999999999425 " "
y[1] (analytic) = 71232.58440803872 " "
y[1] (numeric) = 71232.58440803846 " "
absolute error = 2.61934474110603330000000000E-10 " "
relative error = 3.67717212968400430000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000234037 " "
"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] = 4.789999999999942 " "
y[1] (analytic) = 72671.57806661497 " "
y[1] (numeric) = 72671.57806661469 " "
absolute error = 2.7648638933897020000000000E-10 " "
relative error = 3.8046014232073890000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000224851 " "
"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] = 4.799999999999942 " "
y[1] (analytic) = 74139.64132538515 " "
y[1] (numeric) = 74139.64132538487 " "
absolute error = 2.7648638933897020000000000E-10 " "
relative error = 3.7292652674906080000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000216037 " "
"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] = 4.809999999999942 " "
y[1] (analytic) = 75637.36142922721 " "
y[1] (numeric) = 75637.36142922693 " "
absolute error = 2.7648638933897020000000000E-10 " "
relative error = 3.65542086760488700000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000207566 " "
"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] = 4.819999999999942 " "
y[1] (analytic) = 77165.33748615257 " "
y[1] (numeric) = 77165.33748615229 " "
absolute error = 2.7648638933897020000000000E-10 " "
relative error = 3.58303868480567560000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000019943 " "
"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] = 4.8299999999999415 " "
y[1] (analytic) = 78724.18070695727 " "
y[1] (numeric) = 78724.18070695699 " "
absolute error = 2.7648638933897020000000000E-10 " "
relative error = 3.5120897652547510000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000191609 " "
"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] = 4.839999999999941 " "
y[1] (analytic) = 80314.51464971449 " "
y[1] (numeric) = 80314.51464971421 " "
absolute error = 2.7648638933897020000000000E-10 " "
relative error = 3.4425457284383040000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000184096 " "
"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] = 4.849999999999941 " "
y[1] (analytic) = 81936.97546920607 " "
y[1] (numeric) = 81936.97546920579 " "
absolute error = 2.7648638933897020000000000E-10 " "
relative error = 3.3743787558143460000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000176879 " "
"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] = 4.859999999999940 " "
y[1] (analytic) = 83592.21217139291 " "
y[1] (numeric) = 83592.21217139262 " "
absolute error = 2.91038304567337040000000000E-10 " "
relative error = 3.48164376808940000000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000169939 " "
"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] = 4.869999999999940 " "
y[1] (analytic) = 85280.88687302599 " "
y[1] (numeric) = 85280.8868730257 " "
absolute error = 2.91038304567337040000000000E-10 " "
relative error = 3.4127026024091610000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000163274 " "
"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] = 4.87999999999994 " "
y[1] (analytic) = 87003.67506650192 " "
y[1] (numeric) = 87003.67506650163 " "
absolute error = 2.91038304567337040000000000E-10 " "
relative error = 3.34512656327310000000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000156868 " "
"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] = 4.88999999999994 " "
y[1] (analytic) = 88761.26589006893 " "
y[1] (numeric) = 88761.26589006864 " "
absolute error = 2.91038304567337040000000000E-10 " "
relative error = 3.2788886193645410000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000015072 " "
"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] = 4.89999999999994 " "
y[1] (analytic) = 90554.3624034913 " "
y[1] (numeric) = 90554.36240349099 " "
absolute error = 3.0559021979570390000000000E-10 " "
relative error = 3.37466038835387950000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000144817 " "
"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] = 4.90999999999994 " "
y[1] (analytic) = 92383.68186928263 " "
y[1] (numeric) = 92383.68186928233 " "
absolute error = 3.0559021979570390000000000E-10 " "
relative error = 3.3078376355263230000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000139133 " "
"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] = 4.9199999999999395 " "
y[1] (analytic) = 94249.95603962055 " "
y[1] (numeric) = 94249.95603962023 " "
absolute error = 3.20142135024070740000000000E-10 " "
relative error = 3.39673511242265400000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000133676 " "
"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] = 4.929999999999940 " "
y[1] (analytic) = 96153.93144905714 " "
y[1] (numeric) = 96153.93144905682 " "
absolute error = 3.20142135024070740000000000E-10 " "
relative error = 3.3294752507720780000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000012844 " "
"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] = 4.939999999999939 " "
y[1] (analytic) = 98096.36971314288 " "
y[1] (numeric) = 98096.36971314254 " "
absolute error = 3.3469405025243760000000000E-10 " "
relative error = 3.41189027923421260000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000123404 " "
"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] = 4.949999999999939 " "
y[1] (analytic) = 100078.04783308289 " "
y[1] (numeric) = 100078.04783308256 " "
absolute error = 3.3469405025243760000000000E-10 " "
relative error = 3.3443303251744433000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000118568 " "
"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] = 4.959999999999939 " "
y[1] (analytic) = 102099.7585065479 " "
y[1] (numeric) = 102099.75850654756 " "
absolute error = 3.49245965480804440000000000E-10 " "
relative error = 3.4206345890466180000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.500000000113916 " "
"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] = 4.9699999999999385 " "
y[1] (analytic) = 104162.3104447638 " "
y[1] (numeric) = 104162.31044476344 " "
absolute error = 3.6379788070917130000000000E-10 " "
relative error = 3.49260571463696160000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 9.50000000010945 " "
"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"
"Finished!"
"Maximum Time Reached before Solution Completed!"
"diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;"
Iterations = 498
"Total Elapsed Time "= 0 Years 0 Days 0 Hours 3 Minutes 1 Seconds
"Elapsed Time(since restart) "= 0 Years 0 Days 0 Hours 2 Minutes 58 Seconds
"Expected Time Remaining "= 0 Years 0 Days 0 Hours 3 Minutes 1 Seconds
"Optimized Time Remaining "= 0 Years 0 Days 0 Hours 2 Minutes 58 Seconds
"Expected Total Time "= 0 Years 0 Days 0 Hours 6 Minutes 0 Seconds
"Time to Timeout " Unknown
Percent Done = 49.89999999999938 "%"
(%o58) true
(%o58) diffeq.max