(%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_0D2 array_x ,
1 1 1
array_tmp2 : array_const_0D3 + array_tmp1 , array_tmp3 : exp(array_x ),
1 1 1 1 1
array_tmp2
1
array_tmp4 : -----------, array_tmp5 : array_tmp4 + array_const_0D0 ,
1 array_tmp3 1 1 1
1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
then (temporary : array_tmp5 expt(glob_h, 1) factorial_3(0, 1),
1
array_y : temporary, array_y_higher : temporary,
2 1, 2
temporary 1.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 2,
glob_h 2, 1
array_tmp1 : array_const_0D2 array_x , array_tmp2 : array_tmp1 ,
2 1 2 2 2
array_tmp3 array_x
1 2
array_tmp3 : --------------------, array_tmp4 :
2 1 2
array_tmp2 - array_tmp4 array_tmp3
2 1 2
-------------------------------------, array_tmp5 : array_tmp4 ,
array_tmp3 2 2
1
if not array_y_set_initial then (if 2 <= glob_max_terms
1, 3
then (temporary : array_tmp5 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 array_x
2 2
array_tmp3 : --------------------, array_tmp4 :
3 2 3
- ats(3, array_tmp3, array_tmp4, 2)
-----------------------------------, array_tmp5 : array_tmp4 ,
array_tmp3 3 3
1
if not array_y_set_initial then (if 3 <= glob_max_terms
1, 4
then (temporary : array_tmp5 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 array_x
3 2
array_tmp3 : --------------------, array_tmp4 :
4 3 4
- ats(4, array_tmp3, array_tmp4, 2)
-----------------------------------, array_tmp5 : array_tmp4 ,
array_tmp3 4 4
1
if not array_y_set_initial then (if 4 <= glob_max_terms
1, 5
then (temporary : array_tmp5 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 array_x
4 2
array_tmp3 : --------------------, array_tmp4 :
5 4 5
- ats(5, array_tmp3, array_tmp4, 2)
-----------------------------------, array_tmp5 : array_tmp4 ,
array_tmp3 5 5
1
if not array_y_set_initial then (if 5 <= glob_max_terms
1, 6
then (temporary : array_tmp5 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
array_tmp3 array_x
kkk - 1 2
while kkk <= glob_max_terms do (array_tmp3 : --------------------------,
kkk kkk - 1
- ats(kkk, array_tmp3, array_tmp4, 2)
array_tmp4 : -------------------------------------,
kkk array_tmp3
1
array_tmp5 : array_tmp4 , order_d : 1,
kkk kkk
if order_d + kkk < glob_max_terms then (if not subscript(array_y_set_initial,
1, order_d + kkk) then (temporary : array_tmp5 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_0D2 array_x ,
1 1 1
array_tmp2 : array_const_0D3 + array_tmp1 , array_tmp3 : exp(array_x ),
1 1 1 1 1
array_tmp2
1
array_tmp4 : -----------, array_tmp5 : array_tmp4 + array_const_0D0 ,
1 array_tmp3 1 1 1
1
if not array_y_set_initial then (if 1 <= glob_max_terms
1, 2
then (temporary : array_tmp5 expt(glob_h, 1) factorial_3(0, 1),
1
array_y : temporary, array_y_higher : temporary,
2 1, 2
temporary 1.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 2,
glob_h 2, 1
array_tmp1 : array_const_0D2 array_x , array_tmp2 : array_tmp1 ,
2 1 2 2 2
array_tmp3 array_x
1 2
array_tmp3 : --------------------, array_tmp4 :
2 1 2
array_tmp2 - array_tmp4 array_tmp3
2 1 2
-------------------------------------, array_tmp5 : array_tmp4 ,
array_tmp3 2 2
1
if not array_y_set_initial then (if 2 <= glob_max_terms
1, 3
then (temporary : array_tmp5 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 array_x
2 2
array_tmp3 : --------------------, array_tmp4 :
3 2 3
- ats(3, array_tmp3, array_tmp4, 2)
-----------------------------------, array_tmp5 : array_tmp4 ,
array_tmp3 3 3
1
if not array_y_set_initial then (if 3 <= glob_max_terms
1, 4
then (temporary : array_tmp5 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 array_x
3 2
array_tmp3 : --------------------, array_tmp4 :
4 3 4
- ats(4, array_tmp3, array_tmp4, 2)
-----------------------------------, array_tmp5 : array_tmp4 ,
array_tmp3 4 4
1
if not array_y_set_initial then (if 4 <= glob_max_terms
1, 5
then (temporary : array_tmp5 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 array_x
4 2
array_tmp3 : --------------------, array_tmp4 :
5 4 5
- ats(5, array_tmp3, array_tmp4, 2)
-----------------------------------, array_tmp5 : array_tmp4 ,
array_tmp3 5 5
1
if not array_y_set_initial then (if 5 <= glob_max_terms
1, 6
then (temporary : array_tmp5 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
array_tmp3 array_x
kkk - 1 2
while kkk <= glob_max_terms do (array_tmp3 : --------------------------,
kkk kkk - 1
- ats(kkk, array_tmp3, array_tmp4, 2)
array_tmp4 : -------------------------------------,
kkk array_tmp3
1
array_tmp5 : array_tmp4 , order_d : 1,
kkk kkk
if order_d + kkk < glob_max_terms then (if not subscript(array_y_set_initial,
1, order_d + kkk) then (temporary : array_tmp5 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)
- 0.1 (2.0 x + 5.0)
(%i56) exact_soln_y(x) := block(-------------------)
exp(x)
- 0.1 (2.0 x + 5.0)
(%o56) exact_soln_y(x) := block(-------------------)
exp(x)
(%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/div_lin_exppostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = (0.2 * x + 0.3) / exp(x);"),
omniout_str(ALWAYS, "!"), omniout_str(ALWAYS,
"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits:32,"),
omniout_str(ALWAYS, "max_terms:30,"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "x_start:1.0,"), omniout_str(ALWAYS,
"/* # did poorly with x_start := -5.0; */"),
omniout_str(ALWAYS, "x_end:5.0,"), omniout_str(ALWAYS,
"array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS, "glob_look_poles:true,"),
omniout_str(ALWAYS, "glob_max_iter:1000000,"),
omniout_str(ALWAYS, "glob_display_interval:0.1,"),
omniout_str(ALWAYS, "glob_max_minutes:10,"),
omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS, "glob_desired_digits_correct:10,"),
omniout_str(ALWAYS, "glob_display_interval:0.01,"),
omniout_str(ALWAYS, "glob_look_poles:true,"),
omniout_str(ALWAYS, "glob_max_iter: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, " (-(0.1 * (5.0 + 2.0*x))/exp(x)) "),
omniout_str(ALWAYS, "));"), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"),
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"),
glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false,
glob_small_float : 0.0, glob_smallish_float : 0.0,
glob_large_float : 1.0E+100, glob_almost_1 : 0.99, Digits : 32,
max_terms : 30, glob_max_terms : max_terms, glob_html_log : true,
array(array_y_init, 1 + max_terms), array(array_norms, 1 + max_terms),
array(array_fact_1, 1 + max_terms), array(array_pole, 1 + 4),
array(array_real_pole, 1 + 4), array(array_complex_pole, 1 + 4),
array(array_1st_rel_error, 1 + 2), array(array_last_rel_error, 1 + 2),
array(array_type_pole, 1 + 2), array(array_type_real_pole, 1 + 2),
array(array_type_complex_pole, 1 + 2), array(array_y, 1 + max_terms),
array(array_x, 1 + max_terms), array(array_tmp0, 1 + max_terms),
array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms),
array(array_tmp3, 1 + max_terms), array(array_tmp4, 1 + max_terms),
array(array_tmp5, 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 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp5 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
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, 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_tmp5, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp5 : 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_0D2, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D2 : 0.0, term : 1 + term),
term
array_const_0D2 : 0.2, array(array_const_0D3, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D3 : 0.0, term : 1 + term),
term
array_const_0D3 : 0.3, 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 : 1.0,
iiif, jjjf
x_end : 5.0, array_y_init : exact_soln_y(x_start),
1 + 0
glob_look_poles : true, glob_max_iter : 1000000, glob_display_interval : 0.1,
glob_max_minutes : 10, glob_desired_digits_correct : 10,
glob_display_interval : 0.01, glob_look_poles : true,
glob_max_iter : 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 ) = (0.2 * x + 0.3) / exp(x);"),
omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "),
prog_report(x_start, x_end), if glob_html_log
then (logstart(html_log_file), logitem_str(html_log_file,
"2013-05-26T00:38:17-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "div_lin_exp"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = (0.2 * x + 0.3) / exp(x);"),
logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end),
logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h),
1
logitem_str(html_log_file, "16"), logitem_good_digits(html_log_file,
array_last_rel_error ), logitem_integer(html_log_file, glob_max_terms),
1
logitem_float(html_log_file, array_1st_rel_error ),
1
logitem_float(html_log_file, array_last_rel_error ),
1
logitem_integer(html_log_file, glob_iter),
logitem_time(html_log_file, convfloat(glob_clock_sec)),
if glob_percent_done < 100.0 then (logitem_time(html_log_file,
convfloat(glob_total_exp_sec)), 0) else (logitem_str(html_log_file, "Done"),
0), log_revs(html_log_file, " 189 | "), logitem_str(html_log_file, "div_lin_exp diffeq.max"),
logitem_str(html_log_file,
"div_lin_exp 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/div_lin_exppostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = (0.2 * x + 0.3) / exp(x);"),
omniout_str(ALWAYS, "!"), omniout_str(ALWAYS,
"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits:32,"),
omniout_str(ALWAYS, "max_terms:30,"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "x_start:1.0,"), omniout_str(ALWAYS,
"/* # did poorly with x_start := -5.0; */"),
omniout_str(ALWAYS, "x_end:5.0,"), omniout_str(ALWAYS,
"array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS, "glob_look_poles:true,"),
omniout_str(ALWAYS, "glob_max_iter:1000000,"),
omniout_str(ALWAYS, "glob_display_interval:0.1,"),
omniout_str(ALWAYS, "glob_max_minutes:10,"),
omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS, "glob_desired_digits_correct:10,"),
omniout_str(ALWAYS, "glob_display_interval:0.01,"),
omniout_str(ALWAYS, "glob_look_poles:true,"),
omniout_str(ALWAYS, "glob_max_iter: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, " (-(0.1 * (5.0 + 2.0*x))/exp(x)) "),
omniout_str(ALWAYS, "));"), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"),
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"),
glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false,
glob_small_float : 0.0, glob_smallish_float : 0.0,
glob_large_float : 1.0E+100, glob_almost_1 : 0.99, Digits : 32,
max_terms : 30, glob_max_terms : max_terms, glob_html_log : true,
array(array_y_init, 1 + max_terms), array(array_norms, 1 + max_terms),
array(array_fact_1, 1 + max_terms), array(array_pole, 1 + 4),
array(array_real_pole, 1 + 4), array(array_complex_pole, 1 + 4),
array(array_1st_rel_error, 1 + 2), array(array_last_rel_error, 1 + 2),
array(array_type_pole, 1 + 2), array(array_type_real_pole, 1 + 2),
array(array_type_complex_pole, 1 + 2), array(array_y, 1 + max_terms),
array(array_x, 1 + max_terms), array(array_tmp0, 1 + max_terms),
array(array_tmp1, 1 + max_terms), array(array_tmp2, 1 + max_terms),
array(array_tmp3, 1 + max_terms), array(array_tmp4, 1 + max_terms),
array(array_tmp5, 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 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp4 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_tmp5 : 0.0, term : 1 + term),
term
term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term),
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, 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_tmp5, 1 + 1 + max_terms), term : 1,
while term <= 1 + max_terms do (array_tmp5 : 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_0D2, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D2 : 0.0, term : 1 + term),
term
array_const_0D2 : 0.2, array(array_const_0D3, 1 + 1 + max_terms), term : 1,
1
while term <= 1 + max_terms do (array_const_0D3 : 0.0, term : 1 + term),
term
array_const_0D3 : 0.3, 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 : 1.0,
iiif, jjjf
x_end : 5.0, array_y_init : exact_soln_y(x_start),
1 + 0
glob_look_poles : true, glob_max_iter : 1000000, glob_display_interval : 0.1,
glob_max_minutes : 10, glob_desired_digits_correct : 10,
glob_display_interval : 0.01, glob_look_poles : true,
glob_max_iter : 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 ) = (0.2 * x + 0.3) / exp(x);"),
omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "),
prog_report(x_start, x_end), if glob_html_log
then (logstart(html_log_file), logitem_str(html_log_file,
"2013-05-26T00:38:17-05:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "div_lin_exp"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = (0.2 * x + 0.3) / exp(x);"),
logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end),
logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h),
1
logitem_str(html_log_file, "16"), logitem_good_digits(html_log_file,
array_last_rel_error ), logitem_integer(html_log_file, glob_max_terms),
1
logitem_float(html_log_file, array_1st_rel_error ),
1
logitem_float(html_log_file, array_last_rel_error ),
1
logitem_integer(html_log_file, glob_iter),
logitem_time(html_log_file, convfloat(glob_clock_sec)),
if glob_percent_done < 100.0 then (logitem_time(html_log_file,
convfloat(glob_total_exp_sec)), 0) else (logitem_str(html_log_file, "Done"),
0), log_revs(html_log_file, " 189 | "), logitem_str(html_log_file, "div_lin_exp diffeq.max"),
logitem_str(html_log_file,
"div_lin_exp 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/div_lin_exppostode.ode#################"
"diff ( y , x , 1 ) = (0.2 * x + 0.3) / exp(x);"
"!"
"/* BEGIN FIRST INPUT BLOCK */"
"Digits:32,"
"max_terms:30,"
"!"
"/* END FIRST INPUT BLOCK */"
"/* BEGIN SECOND INPUT BLOCK */"
"x_start:1.0,"
"/* # did poorly with x_start := -5.0; */"
"x_end:5.0,"
"array_y_init[0 + 1] : exact_soln_y(x_start),"
"glob_look_poles:true,"
"glob_max_iter:1000000,"
"glob_display_interval:0.1,"
"glob_max_minutes:10,"
"/* END SECOND INPUT BLOCK */"
"/* BEGIN OVERRIDE BLOCK */"
"glob_desired_digits_correct:10,"
"glob_display_interval:0.01,"
"glob_look_poles:true,"
"glob_max_iter:10000000,"
"glob_max_minutes:3,"
"glob_subiter_method:3,"
"/* END OVERRIDE BLOCK */"
"!"
"/* BEGIN USER DEF BLOCK */"
"exact_soln_y (x) := (block("
" (-(0.1 * (5.0 + 2.0*x))/exp(x)) "
"));"
"/* END USER DEF BLOCK */"
"#######END OF ECHO OF PROBLEM#################"
"START of Optimize"
min_size = 0.0 ""
min_size = 1. ""
glob_desired_digits_correct = 10. ""
desired_abs_gbl_error = 1.0000000000E-10 ""
range = 4. ""
estimated_steps = 4000000. ""
step_error = 2.500000000000000000E-17 ""
est_needed_step_err = 2.500000000000000000E-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 = 4.104860300807793000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-183 ""
estimated_step_error = 4.104860300807793000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-183 ""
best_h = 2.000000E-6 ""
opt_iter = 2
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 2.7547250633786270000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-175 ""
estimated_step_error = 2.7547250633786270000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-175 ""
best_h = 4.000000E-6 ""
opt_iter = 3
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.848664624844849600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-167 ""
estimated_step_error = 1.848664624844849600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-167 ""
best_h = 8.000000E-6 ""
opt_iter = 4
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.2406177329217022000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-159 ""
estimated_step_error = 1.2406177329217022000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-159 ""
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 = 8.32564338322097500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-152 ""
estimated_step_error = 8.32564338322097500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-152 ""
best_h = 3.200000E-5 ""
opt_iter = 6
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 5.587242966122242000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-144 ""
estimated_step_error = 5.587242966122242000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-144 ""
best_h = 6.400000E-5 ""
opt_iter = 7
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 3.74953296279697760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-136 ""
estimated_step_error = 3.74953296279697760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-136 ""
best_h = 1.280000E-4 ""
opt_iter = 8
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 2.516265861870037300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-128 ""
estimated_step_error = 2.516265861870037300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-128 ""
best_h = 2.560000E-4 ""
opt_iter = 9
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.6886332545641447000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-120 ""
estimated_step_error = 1.6886332545641447000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-120 ""
best_h = 5.120000E-4 ""
opt_iter = 10
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.13321698325619040000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-112 ""
estimated_step_error = 1.13321698325619040000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-112 ""
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 = 7.604815132584731000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-105 ""
estimated_step_error = 7.604815132584731000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-105 ""
best_h = 2.048000E-3 ""
opt_iter = 12
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 5.1034039701785540000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-97 ""
estimated_step_error = 5.1034039701785540000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-97 ""
best_h = 4.096000E-3 ""
opt_iter = 13
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 3.42470077744608200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-89 ""
estimated_step_error = 3.42470077744608200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-89 ""
best_h = 8.192000E-3 ""
opt_iter = 14
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 2.2980957385739625000000000000000000000000000000000000000000000000000000000000000000000000000000000E-81 ""
estimated_step_error = 2.2980957385739625000000000000000000000000000000000000000000000000000000000000000000000000000000000E-81 ""
best_h = 1.638400E-2 ""
opt_iter = 15
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.54198165824482060000000000000000000000000000000000000000000000000000000000000000000000000E-73 ""
estimated_step_error = 1.54198165824482060000000000000000000000000000000000000000000000000000000000000000000000000E-73 ""
best_h = 3.276800E-2 ""
opt_iter = 16
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.034478649508161300000000000000000000000000000000000000000000000000000000000000000E-65 ""
estimated_step_error = 1.034478649508161300000000000000000000000000000000000000000000000000000000000000000E-65 ""
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 = 6.9378740859219170000000000000000000000000000000000000000000000000000000000E-58 ""
estimated_step_error = 6.9378740859219170000000000000000000000000000000000000000000000000000000000E-58 ""
best_h = 0.131072 ""
opt_iter = 18
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 4.65004094790731400000000000000000000000000000000000000000000000000E-50 ""
estimated_step_error = 4.65004094790731400000000000000000000000000000000000000000000000000E-50 ""
best_h = 0.1 ""
"START of Soultion"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1. " "
y[1] (analytic) = -0.2575156088200097 " "
y[1] (numeric) = -0.2575156088200097 " "
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 = 17.77419356706795 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 274.65891488458857 " "
Order of pole (three term test) = -7207.637220512933 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.01 " "
y[1] (analytic) = -0.2556817236592094 " "
y[1] (numeric) = -0.25568172365920944 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.17110360634329120000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.773402195334356 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 274.94092451860797 " "
Order of pole (three term test) = -7215.213302054833 " "
Radius of convergence (six term test) for eq 1 = 1015.6027148655915 " "
Order of pole (six term test) = 147879.19277696122 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.02 " "
y[1] (analytic) = -0.25385883788184715 " "
y[1] (numeric) = -0.2538588378818472 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.186693663865830800000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.772609806237124 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 275.29067668287905 " "
Order of pole (three term test) = -7224.561639284191 " "
Radius of convergence (six term test) for eq 1 = 220.87277568270133 " "
Order of pole (six term test) = 8064.677977685782 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.03 " "
y[1] (analytic) = -0.25204691416181807 " "
y[1] (numeric) = -0.2520469141618181 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.202413444174079200000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.771816417855078 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 275.0041571700821 " "
Order of pole (three term test) = -7217.183075246470 " "
Radius of convergence (six term test) for eq 1 = 289.7453725956708 " "
Order of pole (six term test) = 13033.258724846895 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.04 " "
y[1] (analytic) = -0.25024591482681635 " "
y[1] (numeric) = -0.2502459148268164 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.218264033188095700000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.77102197345096 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 274.7026980626271 " "
Order of pole (three term test) = -7209.419223980833 " "
Radius of convergence (six term test) for eq 1 = 363.36926585621177 " "
Order of pole (six term test) = 19759.43800442765 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.05 " "
y[1] (analytic) = -0.24845580186892027 " "
y[1] (numeric) = -0.24845580186892036 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 3.35136978973895700000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.770226523925057 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 274.55966651562323 " "
Order of pole (three term test) = -7205.818835107627 " "
Radius of convergence (six term test) for eq 1 = 311.2320447089492 " "
Order of pole (six term test) = 14742.749515463467 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.06 " "
y[1] (analytic) = -0.24667653695500089 " "
y[1] (numeric) = -0.24667653695500094 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.250362029420911500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.769430054626273 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 273.99711358401606 " "
Order of pole (three term test) = -7191.181142687292 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.07 " "
y[1] (analytic) = -0.24490808143695658 " "
y[1] (numeric) = -0.2449080814369566 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.133305828569550900000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.768632545090945 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 273.54121280236893 " "
Order of pole (three term test) = -7179.356405185594 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.08 " "
y[1] (analytic) = -0.24315039636177643 " "
y[1] (numeric) = -0.2431503963617765 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.282996534731713500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.767833946421323 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 273.8555386684549 " "
Order of pole (three term test) = -7187.775545874581 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.09 " "
y[1] (analytic) = -0.2414034424814345 " "
y[1] (numeric) = -0.2414034424814346 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 4.59903559457541700000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.767034412347794 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 273.6987188628999 " "
Order of pole (three term test) = -7183.802297037862 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1 " "
y[1] (analytic) = -0.2396671802626173 " "
y[1] (numeric) = -0.23966718026261735 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.316176589987457800000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.766233754723814 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 274.01429104256937 " "
Order of pole (three term test) = -7192.258111027643 " "
Radius of convergence (six term test) for eq 1 = 262.8366130703333 " "
Order of pole (six term test) = 10703.355658533603 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.11 " "
y[1] (analytic) = -0.2379415698962865 " "
y[1] (numeric) = -0.2379415698962866 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 3.49946110228577860000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.76543209320005 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 273.65524074255404 " "
Order of pole (three term test) = -7182.974753113317 " "
Radius of convergence (six term test) for eq 1 = 501.0914363460501 " "
Order of pole (six term test) = 35877.805728044565 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.12 " "
y[1] (analytic) = -0.23622657130708058 " "
y[1] (numeric) = -0.23622657130708066 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 3.52486709628634100000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.764629414582345 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 272.87581648108363 " "
Order of pole (three term test) = -7162.6398269939 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1300000000000001 " "
y[1] (analytic) = -0.2345221441625556 " "
y[1] (numeric) = -0.2345221441625557 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 4.73397950794625930000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.76382562965773 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 272.9197316434556 " "
Order of pole (three term test) = -7163.959479183316 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1400000000000001 " "
y[1] (analytic) = -0.23282824788226922 " "
y[1] (numeric) = -0.2328282478822693 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 3.57631548595387700000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.76302082117943 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 273.3612845757465 " "
Order of pole (three term test) = -7175.713120421708 " "
Radius of convergence (six term test) for eq 1 = 326.43852557333116 " "
Order of pole (six term test) = 15757.348006324495 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1500000000000001 " "
y[1] (analytic) = -0.23114484164670884 " "
y[1] (numeric) = -0.23114484164670893 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 3.60236145672482630000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.762214984662734 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 272.6092279504105 " "
Order of pole (three term test) = -7156.103008726778 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1600000000000001 " "
y[1] (analytic) = -0.22947188440606708 " "
y[1] (numeric) = -0.22947188440606717 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 3.62862435467432900000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.76140808300648 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 273.1407582532376 " "
Order of pole (three term test) = -7170.228942039328 " "
Radius of convergence (six term test) for eq 1 = 275.2013564117642 " "
Order of pole (six term test) = 11450.346984542657 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1700000000000002 " "
y[1] (analytic) = -0.22780933488886596 " "
y[1] (numeric) = -0.22780933488886607 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 4.87347467638569560000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.760600123271594 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 273.1018347352978 " "
Order of pole (three term test) = -7169.36895094327 " "
Radius of convergence (six term test) for eq 1 = 219.30656793804687 " "
Order of pole (six term test) = 7623.2208398895755 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1800000000000002 " "
y[1] (analytic) = -0.2261571516104326 " "
y[1] (numeric) = -0.22615715161043265 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.454538838854791500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.759791135527436 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 272.29863874401343 " "
Order of pole (three term test) = -7148.404935863440 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1900000000000002 " "
y[1] (analytic) = -0.22451529288122757 " "
y[1] (numeric) = -0.22451529288122765 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 3.708732967733127700000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.75898106666495 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 271.8227966363775 " "
Order of pole (three term test) = -7136.05185556141 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2000000000000002 " "
y[1] (analytic) = -0.22288371681502955 " "
y[1] (numeric) = -0.2228837168150296 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.490588008155227900000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.758169929764794 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 272.567719326609 " "
Order of pole (three term test) = -7155.794326395430 " "
Radius of convergence (six term test) for eq 1 = 250.8865178296055 " "
Order of pole (six term test) = 9573.97611447961 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2100000000000002 " "
y[1] (analytic) = -0.22126238133697637 " "
y[1] (numeric) = -0.22126238133697648 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 5.017676380036415000000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.757357749006047 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 271.9864531849419 " "
Order of pole (three term test) = -7140.66641949671 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2200000000000002 " "
y[1] (analytic) = -0.21965124419146656 " "
y[1] (numeric) = -0.21965124419146662 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.527240464109077300000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.756544504327604 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 272.11150251400227 " "
Order of pole (three term test) = -7144.1126012263285 " "
Radius of convergence (six term test) for eq 1 = 337.0080116869163 " "
Order of pole (six term test) = 16327.099120369658 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2300000000000002 " "
y[1] (analytic) = -0.2180502629499211 " "
y[1] (numeric) = -0.21805026294992116 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.5457961150914500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.755730204557146 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 271.6354991274893 " "
Order of pole (three term test) = -7131.7511760462 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2400000000000002 " "
y[1] (analytic) = -0.21645939501840986 " "
y[1] (numeric) = -0.21645939501840994 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 3.846759658540342400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.754914788223903 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 271.88732323409636 " "
Order of pole (three term test) = -7138.53939520622 " "
Radius of convergence (six term test) for eq 1 = 248.5977568080724 " "
Order of pole (six term test) = 9292.236321439055 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2500000000000002 " "
y[1] (analytic) = -0.21487859764514253 " "
y[1] (numeric) = -0.21487859764514264 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 5.16674548694986700000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.75409836632902 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 271.3922129156431 " "
Order of pole (three term test) = -7125.674834765136 " "
Radius of convergence (six term test) for eq 1 = 775.797625727214 " "
Order of pole (six term test) = 81187.92549587037 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2600000000000002 " "
y[1] (analytic) = -0.21330782792782732 " "
y[1] (numeric) = -0.21330782792782738 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.60239634759395800000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.753280833982277 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 271.4476975032122 " "
Order of pole (three term test) = -7127.289124429900 " "
Radius of convergence (six term test) for eq 1 = 373.06614838568885 " "
Order of pole (six term test) = 19535.140975877664 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2700000000000002 " "
y[1] (analytic) = -0.21174704282089832 " "
y[1] (numeric) = -0.2117470428208984 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 3.93236787336464060000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.75246223814644 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 271.1604666617525 " "
Order of pole (three term test) = -7119.893514671433 " "
Radius of convergence (six term test) for eq 1 = 612.4326746674387 " "
Order of pole (six term test) = 50740.621679393946 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2800000000000002 " "
y[1] (analytic) = -0.21019619914261473 " "
y[1] (numeric) = -0.2101961991426148 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 3.961381185127501600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.751642587790446 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 270.88460526124453 " "
Order of pole (three term test) = -7112.794810201872 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2900000000000003 " "
y[1] (analytic) = -0.20865525358203224 " "
y[1] (numeric) = -0.20865525358203232 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 3.99063648853445500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.75082182739888 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 270.9578403918701 " "
Order of pole (three term test) = -7114.874419255824 " "
Radius of convergence (six term test) for eq 1 = 534.0437784172166 " "
Order of pole (six term test) = 38703.59755018661 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3000000000000003 " "
y[1] (analytic) = -0.20712416270584955 " "
y[1] (numeric) = -0.20712416270584963 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 4.02013583345846600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.749999980496966 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 270.7193260244829 " "
Order of pole (three term test) = -7108.7683984875075 " "
Radius of convergence (six term test) for eq 1 = 468.57011333467426 " "
Order of pole (six term test) = 29854.681402988168 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3100000000000003 " "
y[1] (analytic) = -0.20560288296513135 " "
y[1] (numeric) = -0.20560288296513143 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 4.04988128794906700000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.74917707135609 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 270.85441149545244 " "
Order of pole (three term test) = -7112.472585091682 " "
Radius of convergence (six term test) for eq 1 = 291.09198048980113 " "
Order of pole (six term test) = 12141.203434348707 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3200000000000003 " "
y[1] (analytic) = -0.20409137070190966 " "
y[1] (numeric) = -0.20409137070190975 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 4.07987493839236700000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.74835308611116 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 270.8373043712135 " "
Order of pole (three term test) = -7112.1831560085575 " "
Radius of convergence (six term test) for eq 1 = 229.54154246700543 " "
Order of pole (six term test) = 7904.038649636 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3300000000000003 " "
y[1] (analytic) = -0.2025895821556651 " "
y[1] (numeric) = -0.20258958215566522 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 5.480158519563395000000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.74752800454771 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 270.43892262855013 " "
Order of pole (three term test) = -7101.85833211283 " "
Radius of convergence (six term test) for eq 1 = 401.728774159226 " "
Order of pole (six term test) = 22103.299594160246 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3400000000000003 " "
y[1] (analytic) = -0.20109747346969034 " "
y[1] (numeric) = -0.20109747346969042 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 4.14061526533483800000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.74670184591539 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 269.49605247620434 " "
Order of pole (three term test) = -7077.220479041574 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3500000000000003 " "
y[1] (analytic) = -0.19961500069733645 " "
y[1] (numeric) = -0.1996150006973365 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.78091080516668500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.745874597762572 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 269.7862600940638 " "
Order of pole (three term test) = -7085.010116228330 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3600000000000003 " "
y[1] (analytic) = -0.1981421198081451 " "
y[1] (numeric) = -0.1981421198081452 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 4.20237387828046540000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.745046231178996 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 270.0133341523432 " "
Order of pole (three term test) = -7091.144606447618 " "
Radius of convergence (six term test) for eq 1 = 308.1834568660532 " "
Order of pole (six term test) = 13287.344463892117 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3700000000000003 " "
y[1] (analytic) = -0.19667878669386737 " "
y[1] (numeric) = -0.19667878669386749 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 5.64485394326349300000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.74421679863021 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 269.86521550251143 " "
Order of pole (three term test) = -7087.398342597380 " "
Radius of convergence (six term test) for eq 1 = 387.8276803038251 " "
Order of pole (six term test) = 20468.461300504663 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3800000000000003 " "
y[1] (analytic) = -0.19522495717437102 " "
y[1] (numeric) = -0.1952249571743711 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 4.2651681451011697000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.74338625642498 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 268.9555188083769 " "
Order of pole (three term test) = -7063.6357713900925 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3900000000000003 " "
y[1] (analytic) = -0.19378058700343784 " "
y[1] (numeric) = -0.1937805870034379 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.86463944039311900000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.74255460528001 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 269.5971887020655 " "
Order of pole (three term test) = -7080.668457387363 " "
Radius of convergence (six term test) for eq 1 = 311.9764084252543 " "
Order of pole (six term test) = 13509.086415172598 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4000000000000004 " "
y[1] (analytic) = -0.192345631874453 " "
y[1] (numeric) = -0.19234563187445308 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 4.32901574293281740000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.741721848666177 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 269.2703646739067 " "
Order of pole (three term test) = -7072.2350960341355 " "
Radius of convergence (six term test) for eq 1 = 371.3191523873713 " "
Order of pole (six term test) = 18646.645446573257 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4100000000000004 " "
y[1] (analytic) = -0.19092004742598775 " "
y[1] (numeric) = -0.19092004742598784 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 4.36134015099519600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.740887982592838 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 269.21305517868296 " "
Order of pole (three term test) = -7070.883757794526 " "
Radius of convergence (six term test) for eq 1 = 339.48836997461467 " "
Order of pole (six term test) = 15717.214471102252 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4200000000000004 " "
y[1] (analytic) = -0.18950378924727657 " "
y[1] (numeric) = -0.18950378924727662 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.929289775774528400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.740053028302704 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 269.44790533400015 " "
Order of pole (three term test) = -7077.221132098013 " "
Radius of convergence (six term test) for eq 1 = 206.77062941945587 " "
Order of pole (six term test) = 6421.117324292798 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4300000000000004 " "
y[1] (analytic) = -0.188096812883591 " "
y[1] (numeric) = -0.18809681288359112 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 5.90240210668667300000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.73921696912115 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 268.94799902321324 " "
Order of pole (three term test) = -7064.228497133001 " "
Radius of convergence (six term test) for eq 1 = 326.99205869123807 " "
Order of pole (six term test) = 14567.762739762034 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4400000000000004 " "
y[1] (analytic) = -0.18669907384151194 " "
y[1] (numeric) = -0.186699073841512 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 2.973295479675545600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.738379823524447 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 268.18986572254147 " "
Order of pole (three term test) = -7044.443052739293 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4500000000000004 " "
y[1] (analytic) = -0.18531052759410008 " "
y[1] (numeric) = -0.1853105275941002 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 5.99114922956219600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.737541540268722 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 268.1058880369437 " "
Order of pole (three term test) = -7042.389585687805 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4600000000000004 " "
y[1] (analytic) = -0.18393112958596894 " "
y[1] (numeric) = -0.18393112958596902 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 4.52706004874330400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.736702122184994 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 268.0648724617057 " "
Order of pole (three term test) = -7041.469079116696 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4700000000000004 " "
y[1] (analytic) = -0.18256083523825867 " "
y[1] (numeric) = -0.18256083523825875 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 4.56103998090368100000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.735861636126142 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 268.18092466023927 " "
Order of pole (three term test) = -7044.678412367586 " "
Radius of convergence (six term test) for eq 1 = 672.3946855588379 " "
Order of pole (six term test) = 57951.40786387364 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4800000000000004 " "
y[1] (analytic) = -0.1811995999535149 " "
y[1] (numeric) = -0.18119959995351495 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 3.06353608095706100000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.735019979169383 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 267.4083061987322 " "
Order of pole (three term test) = -7024.51601617535 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4900000000000004 " "
y[1] (analytic) = -0.17984737912047202 " "
y[1] (numeric) = -0.1798473791204721 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 4.62985489441633370000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.734177215077757 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 267.60688884897826 " "
Order of pole (three term test) = -7029.896983471657 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5000000000000004 " "
y[1] (analytic) = -0.17850412811874378 " "
y[1] (numeric) = -0.17850412811874386 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 4.6646947454064697000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.733333327254968 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 267.90162450515595 " "
Order of pole (three term test) = -7037.805258210582 " "
Radius of convergence (six term test) for eq 1 = 426.14365180992945 " "
Order of pole (six term test) = 23668.463155872065 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5100000000000005 " "
y[1] (analytic) = -0.17716980232342128 " "
y[1] (numeric) = -0.1771698023234213 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.566608713880114400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.73248829235325 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 267.7278205522316 " "
Order of pole (three term test) = -7033.400771924336 " "
Radius of convergence (six term test) for eq 1 = 309.31083585314144 " "
Order of pole (six term test) = 12849.880000796886 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5200000000000005 " "
y[1] (analytic) = -0.1758443571095806 " "
y[1] (numeric) = -0.17584435710958066 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 3.156834381478903500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.731642190812508 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 267.48471824137863 " "
Order of pole (three term test) = -7027.159521880171 " "
Radius of convergence (six term test) for eq 1 = 412.4583766973181 " "
Order of pole (six term test) = 22088.462873567787 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5300000000000005 " "
y[1] (analytic) = -0.1745277478567016 " "
y[1] (numeric) = -0.1745277478567017 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 4.770973548300985000000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.7307949216876 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 267.0912334671679 " "
Order of pole (three term test) = -7016.967576027761 " "
Radius of convergence (six term test) for eq 1 = 1238.6547782562677 " "
Order of pole (six term test) = 191134.93496457365 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5400000000000005 " "
y[1] (analytic) = -0.17321992995299815 " "
y[1] (numeric) = -0.17321992995299818 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.602331534434875400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.729946533397428 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 267.15586446303143 " "
Order of pole (three term test) = -7018.8224795415745 " "
Radius of convergence (six term test) for eq 1 = 473.2173125880955 " "
Order of pole (six term test) = 28660.438222794004 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5500000000000005 " "
y[1] (analytic) = -0.17192085879966182 " "
y[1] (numeric) = -0.17192085879966187 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 3.22887819539946500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.729096985504555 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 267.3546420519759 " "
Order of pole (three term test) = -7024.208830116038 " "
Radius of convergence (six term test) for eq 1 = 284.49407499247326 " "
Order of pole (six term test) = 10927.745636733014 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5600000000000005 " "
y[1] (analytic) = -0.1706304898150209 " "
y[1] (numeric) = -0.17063048981502096 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 3.253296130805052000000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.728246325548945 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 266.90199640369116 " "
Order of pole (three term test) = -7012.458753150977 " "
Radius of convergence (six term test) for eq 1 = 439.2621989687818 " "
Order of pole (six term test) = 24715.229949698394 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5700000000000005 " "
y[1] (analytic) = -0.16934877843861457 " "
y[1] (numeric) = -0.16934877843861465 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 4.916877914006873600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.727394496589397 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 266.7413466235853 " "
Order of pole (three term test) = -7008.39792593522 " "
Radius of convergence (six term test) for eq 1 = 351.02345975346486 " "
Order of pole (six term test) = 16037.600219463604 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5800000000000005 " "
y[1] (analytic) = -0.16807568013518484 " "
y[1] (numeric) = -0.1680756801351849 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 3.30274738062102100000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.72654155759823 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 265.9828775740627 " "
Order of pole (three term test) = -6988.59334391031 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5900000000000005 " "
y[1] (analytic) = -0.16681115039858654 " "
y[1] (numeric) = -0.16681115039858657 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.663892104892773200000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.725687452771773 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 265.8691859619194 " "
Order of pole (three term test) = -6985.764454949983 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6000000000000005 " "
y[1] (analytic) = -0.1655551447556174 " "
y[1] (numeric) = -0.16555514475561742 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.676515438804395700000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.724832250772472 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 265.81763162305094 " "
Order of pole (three term test) = -6984.562494037601 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6100000000000005 " "
y[1] (analytic) = -0.1643076187697687 " "
y[1] (numeric) = -0.16430761876976877 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 3.378489180653346000000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.72397581693546 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 266.0347978474857 " "
Order of pole (three term test) = -6990.438165032749 " "
Radius of convergence (six term test) for eq 1 = 639.2565039852523 " "
Order of pole (six term test) = 50622.04211809315 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6200000000000006 " "
y[1] (analytic) = -0.16306852804489846 " "
y[1] (numeric) = -0.1630685280448985 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 1.702080465703770500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.723118278903737 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 265.3918200475784 " "
Order of pole (three term test) = -6973.680133440044 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6300000000000006 " "
y[1] (analytic) = -0.16183782822882706 " "
y[1] (numeric) = -0.1618378282288271 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 3.430047958427188700000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.7222595967433 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 265.57523897659996 " "
Order of pole (three term test) = -6978.66173218967 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6400000000000006 " "
y[1] (analytic) = -0.16061547501685844 " "
y[1] (numeric) = -0.1606154750168585 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 3.45615210647861270000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.721399738046347 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 265.3124911170187 " "
Order of pole (three term test) = -6971.906043559607 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6500000000000006 " "
y[1] (analytic) = -0.15940142415522585 " "
y[1] (numeric) = -0.15940142415522593 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 5.223712855024508000000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.72053871143998 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 265.72931845495754 " "
Order of pole (three term test) = -6983.0376426010425 " "
Radius of convergence (six term test) for eq 1 = 286.5815817340918 " "
Order of pole (six term test) = 10785.492705529228 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6600000000000006 " "
y[1] (analytic) = -0.158195631444465 " "
y[1] (numeric) = -0.1581956314444651 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 7.01803845332418900000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.71967654307402 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 265.46038207208596 " "
Order of pole (three term test) = -6976.120288164237 " "
Radius of convergence (six term test) for eq 1 = 333.6738167310461 " "
Order of pole (six term test) = 14265.573181025824 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6700000000000006 " "
y[1] (analytic) = -0.15699805274271475 " "
y[1] (numeric) = -0.15699805274271483 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 5.30367895602772800000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.718813190796908 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 265.3717975602463 " "
Order of pole (three term test) = -6973.952326717029 " "
Radius of convergence (six term test) for eq 1 = 284.33319084289803 " "
Order of pole (six term test) = 10562.68580472954 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6800000000000006 " "
y[1] (analytic) = -0.15580864396894667 " "
y[1] (numeric) = -0.15580864396894675 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 5.34416606972602600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.71794871868215 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 264.92784641131396 " "
Order of pole (three term test) = -6962.4221692096135 " "
Radius of convergence (six term test) for eq 1 = 801.0188642806626 " "
Order of pole (six term test) = 77648.02042602094 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6900000000000006 " "
y[1] (analytic) = -0.15462736110612493 " "
y[1] (numeric) = -0.15462736110612502 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 5.384993073104218000000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.717083074741826 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 264.7340871403089 " "
Order of pole (three term test) = -6957.479569578802 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7000000000000006 " "
y[1] (analytic) = -0.15345416020429706 " "
y[1] (numeric) = -0.1534541602042971 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 3.61744192254902400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.716216216513114 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 264.2687867184837 " "
Order of pole (three term test) = -6945.396192066653 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7100000000000006 " "
y[1] (analytic) = -0.15228899738361673 " "
y[1] (numeric) = -0.15228899738361681 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 5.46767844541897200000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.71534821788893 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 264.4522606273318 " "
Order of pole (three term test) = -6950.379288475315 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7200000000000006 " "
y[1] (analytic) = -0.15113182883730022 " "
y[1] (numeric) = -0.1511318288373003 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 5.50954272753007300000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.714478998000732 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 264.3512137498432 " "
Order of pole (three term test) = -6947.889901755649 " "
Radius of convergence (six term test) for eq 1 = 481.74509587328185 " "
Order of pole (six term test) = 28323.65219194049 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7300000000000006 " "
y[1] (analytic) = -0.14998261083451656 " "
y[1] (numeric) = -0.14998261083451664 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 5.551758726133869000000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.713608666605005 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 264.4053969490513 " "
Order of pole (three term test) = -6949.468401394229 " "
Radius of convergence (six term test) for eq 1 = 421.64885579861027 " "
Order of pole (six term test) = 21890.680298254993 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7400000000000007 " "
y[1] (analytic) = -0.14884129972321328 " "
y[1] (numeric) = -0.14884129972321336 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 5.59432946377990200000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.71273712725492 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 263.5181069090424 " "
Order of pole (three term test) = -6926.277422167837 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7500000000000007 " "
y[1] (analytic) = -0.1477078519328783 " "
y[1] (numeric) = -0.14770785193287836 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 3.75817199321829660000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.711864408988298 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 263.9028844427913 " "
Order of pole (three term test) = -6936.56102440072 " "
Radius of convergence (six term test) for eq 1 = 811.3202648756787 " "
Order of pole (six term test) = 78360.54456884168 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7600000000000007 " "
y[1] (analytic) = -0.146582223977239 " "
y[1] (numeric) = -0.14658222397723905 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 3.78703158712324400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.710990499906337 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 263.715566796737 " "
Order of pole (three term test) = -6931.793275489186 " "
Radius of convergence (six term test) for eq 1 = 852.8885751597118 " "
Order of pole (six term test) = 86210.09266316555 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7700000000000007 " "
y[1] (analytic) = -0.14546437245689958 " "
y[1] (numeric) = -0.14546437245689967 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 5.72420074005119500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.71011541931819 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 263.53287226797875 " "
Order of pole (three term test) = -6927.145171946743 " "
Radius of convergence (six term test) for eq 1 = 605.763201505261 " "
Order of pole (six term test) = 43819.06825026673 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7800000000000007 " "
y[1] (analytic) = -0.1443542540619177 " "
y[1] (numeric) = -0.14435425406191776 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 3.845480799439931500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.709239131100226 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 263.63125397572253 " "
Order of pole (three term test) = -6929.893676847152 " "
Radius of convergence (six term test) for eq 1 = 351.30033135897224 " "
Order of pole (six term test) = 15268.479679242935 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7900000000000007 " "
y[1] (analytic) = -0.14325182557432084 " "
y[1] (numeric) = -0.14325182557432092 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 5.81261191702488500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.70836167286502 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 262.6964552061666 " "
Order of pole (three term test) = -6905.444069373030 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8000000000000007 " "
y[1] (analytic) = -0.14215704387056435 " "
y[1] (numeric) = -0.14215704387056444 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 5.85737608068876800000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.707482993321715 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 262.74665073320705 " "
Order of pole (three term test) = -6906.928298356962 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8100000000000007 " "
y[1] (analytic) = -0.1410698659239308 " "
y[1] (numeric) = -0.14106986592393092 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 7.87002254063119900000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.70660314545935 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 263.0434918457458 " "
Order of pole (three term test) = -6914.901057048637 " "
Radius of convergence (six term test) for eq 1 = 520.7773598028871 " "
Order of pole (six term test) = 32306.98406240253 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8200000000000007 " "
y[1] (analytic) = -0.1399902488068729 " "
y[1] (numeric) = -0.139990248806873 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 5.94803763523268400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.705722065710116 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 263.1128063746982 " "
Order of pole (three term test) = -6916.885659714788 " "
Radius of convergence (six term test) for eq 1 = 332.76091850388025 " "
Order of pole (six term test) = 13657.56392751652 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8300000000000007 " "
y[1] (analytic) = -0.13891814969329955 " "
y[1] (numeric) = -0.13891814969329963 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 5.9939415426077300000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.704839806805804 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 262.68952609761266 " "
Order of pole (three term test) = -6905.904235307135 " "
Radius of convergence (six term test) for eq 1 = 635.3894369544523 " "
Order of pole (six term test) = 47443.56806751882 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8400000000000007 " "
y[1] (analytic) = -0.1378535258608071 " "
y[1] (numeric) = -0.13785352586080718 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 6.0402319292843100000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.703956331375736 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 262.26491114523196 " "
Order of pole (three term test) = -6894.8894811390055 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8500000000000008 " "
y[1] (analytic) = -0.13679633469285593 " "
y[1] (numeric) = -0.13679633469285604 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 8.11588283500359700000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.70307165906339 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 262.5093151803201 " "
Order of pole (three term test) = -6901.484953695493 " "
Radius of convergence (six term test) for eq 1 = 348.508213888913 " "
Order of pole (six term test) = 14772.999610733288 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8600000000000008 " "
y[1] (analytic) = -0.1357465336808936 " "
y[1] (numeric) = -0.13574653368089368 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 6.13398549406986200000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.702185789619733 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 262.0629360690827 " "
Order of pole (three term test) = -6889.889973899169 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8700000000000008 " "
y[1] (analytic) = -0.13470408042642482 " "
y[1] (numeric) = -0.1347040804264249 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 6.18145542312409100000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.701298697302605 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 262.0737765930705 " "
Order of pole (three term test) = -6890.33574380889 " "
Radius of convergence (six term test) for eq 1 = 549.1880015072866 " "
Order of pole (six term test) = 35326.714410582725 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8800000000000008 " "
y[1] (analytic) = -0.1336689326430302 " "
y[1] (numeric) = -0.1336689326430303 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 8.30576711186932800000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.70041040072235 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 262.1400013468341 " "
Order of pole (three term test) = -6892.240513390466 " "
Radius of convergence (six term test) for eq 1 = 333.1679216784059 " "
Order of pole (six term test) = 13485.569209140489 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8900000000000008 " "
y[1] (analytic) = -0.1326410481583335 " "
y[1] (numeric) = -0.13264104815833364 " "
absolute error = 1.38777878078144570000000000000000E-16 " "
relative error = 1.04626644620966460000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.699520861376925 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 261.3982343186477 " "
Order of pole (three term test) = -6872.8734449700405 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9000000000000008 " "
y[1] (analytic) = -0.13162038491591876 " "
y[1] (numeric) = -0.13162038491591888 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 8.43503857958161200000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.698630132178067 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 261.4094821523768 " "
Order of pole (three term test) = -6873.327640778686 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9100000000000008 " "
y[1] (analytic) = -0.13060690097719782 " "
y[1] (numeric) = -0.1306069009771979 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 6.37536961859496000000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.69773817502803 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 261.3602816130942 " "
Order of pole (three term test) = -6872.190705361448 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9200000000000008 " "
y[1] (analytic) = -0.12960055452322944 " "
y[1] (numeric) = -0.12960055452322955 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 8.56649903011149200000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.69684500398385 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 260.8581725479099 " "
Order of pole (three term test) = -6859.130940951236 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9300000000000008 " "
y[1] (analytic) = -0.12860130385649055 " "
y[1] (numeric) = -0.12860130385649066 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 8.6330619622961400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.695950588171318 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 260.8796255906667 " "
Order of pole (three term test) = -6859.8585327715255 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9400000000000008 " "
y[1] (analytic) = -0.12760910740260012 " "
y[1] (numeric) = -0.12760910740260023 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 8.70018643044387400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.6950549281156 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 261.4938267322058 " "
Order of pole (three term test) = -6876.1926068052335 " "
Radius of convergence (six term test) for eq 1 = 251.57461670357546 " "
Order of pole (six term test) = 7922.367794080328 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9500000000000008 " "
y[1] (analytic) = -0.12662392371199702 " "
y[1] (numeric) = -0.12662392371199713 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 8.76787728636755400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.69415806363883 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 261.4499990817445 " "
Order of pole (three term test) = -6875.201586928798 " "
Radius of convergence (six term test) for eq 1 = 222.46146515865672 " "
Order of pole (six term test) = 6349.518355487202 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9600000000000009 " "
y[1] (analytic) = -0.12564571146157205 " "
y[1] (numeric) = -0.1256457114615722 " "
absolute error = 1.38777878078144570000000000000000E-16 " "
relative error = 1.10451742812239880000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.693259974929894 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 260.884670871066 " "
Order of pole (three term test) = -6860.470350929027 " "
Radius of convergence (six term test) for eq 1 = 411.77194742466463 " "
Order of pole (six term test) = 19814.451360406667 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9700000000000009 " "
y[1] (analytic) = -0.12467442945625544 " "
y[1] (numeric) = -0.12467442945625559 " "
absolute error = 1.52655665885959020000000000000000E-16 " "
relative error = 1.22443444539300140000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.69236063502292 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 260.5158867779152 " "
Order of pole (three term test) = -6850.923319316533 " "
Radius of convergence (six term test) for eq 1 = 589.4021658626467 " "
Order of pole (six term test) = 39639.993701225896 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9800000000000009 " "
y[1] (analytic) = -0.12371003663055988 " "
y[1] (numeric) = -0.12371003663056002 " "
absolute error = 1.38777878078144570000000000000000E-16 " "
relative error = 1.12179966846653170000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.691460069001277 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 260.1085589242602 " "
Order of pole (three term test) = -6840.354398089050 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9900000000000009 " "
y[1] (analytic) = -0.12275249205008035 " "
y[1] (numeric) = -0.12275249205008049 " "
absolute error = 1.38777878078144570000000000000000E-16 " "
relative error = 1.13055039258613350000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.690558230717638 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 260.0320871219457 " "
Order of pole (three term test) = -6838.502505339578 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.000000000000001 " "
y[1] (analytic) = -0.12180175491295135 " "
y[1] (numeric) = -0.12180175491295149 " "
absolute error = 1.38777878078144570000000000000000E-16 " "
relative error = 1.13937502934440980000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.689655180175382 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 259.40448088406555 " "
Order of pole (three term test) = -6822.133770728596 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0100000000000007 " "
y[1] (analytic) = -0.12085778455126202 " "
y[1] (numeric) = -0.12085778455126214 " "
absolute error = 1.2490009027033011000000000000000E-16 " "
relative error = 1.03344679644821340000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.688750869398397 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 259.4017106985328 " "
Order of pole (three term test) = -6822.21992064477 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0200000000000005 " "
y[1] (analytic) = -0.11992054043243 " "
y[1] (numeric) = -0.1199205404324301 " "
absolute error = 9.7144514654701200000000000000000E-17 " "
relative error = 8.10074023219048900000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.68784530125222 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 259.90870883562576 " "
Order of pole (three term test) = -6835.741321806340 " "
Radius of convergence (six term test) for eq 1 = 385.7514888031478 " "
Order of pole (six term test) = 17223.52458851442 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0300000000000002 " "
y[1] (analytic) = -0.11898998216053472 " "
y[1] (numeric) = -0.11898998216053479 " "
absolute error = 6.93889390390722800000000000000000E-17 " "
relative error = 5.83149419633129700000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.686938474694685 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 259.4067688561306 " "
Order of pole (three term test) = -6822.683638924525 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.04 " "
y[1] (analytic) = -0.11806606947761074 " "
y[1] (numeric) = -0.1180660694776108 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 4.70170231607350900000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.686030435380093 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 259.44041660641767 " "
Order of pole (three term test) = -6823.72585545901 " "
Radius of convergence (six term test) for eq 1 = 1230.3718807764178 " "
Order of pole (six term test) = 167546.2238145135 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.05 " "
y[1] (analytic) = -0.11714876226490185 " "
y[1] (numeric) = -0.1171487622649019 " "
absolute error = 4.16333634234433700000000000000000E-17 " "
relative error = 3.553888459299315000000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.68512110127151 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 259.1183050811596 " "
Order of pole (three term test) = -6815.40660221899 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0599999999999996 " "
y[1] (analytic) = -0.11623802054407656 " "
y[1] (numeric) = -0.11623802054407657 " "
absolute error = 1.387778780781445700000000000000000E-17 " "
relative error = 1.1939112299793600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.68421052405215 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 259.10034300921836 " "
Order of pole (three term test) = -6815.093963426233 " "
Radius of convergence (six term test) for eq 1 = 852.156730843285 " "
Order of pole (six term test) = 80386.64201117816 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0699999999999994 " "
y[1] (analytic) = -0.11533380447840547 " "
y[1] (numeric) = -0.11533380447840547 " "
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 = 17.683298689489234 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 258.5367107248897 " "
Order of pole (three term test) = -6800.40816010733 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.079999999999999 " "
y[1] (analytic) = -0.11443607437390158 " "
y[1] (numeric) = -0.11443607437390155 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 2.425421858228202500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.682385589797924 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 258.53165597052777 " "
Order of pole (three term test) = -6800.43235198706 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.089999999999999 " "
y[1] (analytic) = -0.11354479068042361 " "
y[1] (numeric) = -0.11354479068042357 " "
absolute error = 4.16333634234433700000000000000000E-17 " "
relative error = 3.666690754719179600000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.681471207442875 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 258.3736552474775 " "
Order of pole (three term test) = -6796.436642406546 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0999999999999988 " "
y[1] (analytic) = -0.11265991399274349 " "
y[1] (numeric) = -0.1126599139927434 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 7.39098086407646500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.680555537421604 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 258.6784403574296 " "
Order of pole (three term test) = -6804.633181524833 " "
Radius of convergence (six term test) for eq 1 = 345.6234958989235 " "
Order of pole (six term test) = 13722.955058682295 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1099999999999985 " "
y[1] (analytic) = -0.11178140505157802 " "
y[1] (numeric) = -0.11178140505157794 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 7.4490678309568500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.679638637976957 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 258.2809863993585 " "
Order of pole (three term test) = -6794.319731520909 " "
Radius of convergence (six term test) for eq 1 = 1717.415753478626 " "
Order of pole (six term test) = 320705.41587521613 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1199999999999983 " "
y[1] (analytic) = -0.11090922474458617 " "
y[1] (numeric) = -0.11090922474458606 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.0010195519641390000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.67872044695625 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 257.9201243009088 " "
Order of pole (three term test) = -6784.973225051587 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.129999999999998 " "
y[1] (analytic) = -0.1100433341073315 " "
y[1] (numeric) = -0.11004333410733136 " "
absolute error = 1.38777878078144570000000000000000E-16 " "
relative error = 1.26112025961324150000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.677800995085118 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 257.8451858316409 " "
Order of pole (three term test) = -6783.161072605806 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.139999999999998 " "
y[1] (analytic) = -0.10918369432421127 " "
y[1] (numeric) = -0.10918369432421113 " "
absolute error = 1.38777878078144570000000000000000E-16 " "
relative error = 1.27104948167494680000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.676880229750623 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 257.74630100792103 " "
Order of pole (three term test) = -6780.720476232205 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1499999999999977 " "
y[1] (analytic) = -0.10833026672935238 " "
y[1] (numeric) = -0.1083302667293522 " "
absolute error = 1.80411241501587940000000000000000E-16 " "
relative error = 1.66538167908622900000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.675958181650326 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 257.8028046990462 " "
Order of pole (three term test) = -6782.371107562426 " "
Radius of convergence (six term test) for eq 1 = 688.4503053756406 " "
Order of pole (six term test) = 51699.99936576004 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1599999999999975 " "
y[1] (analytic) = -0.10748301280747449 " "
y[1] (numeric) = -0.1074830128074743 " "
absolute error = 1.9428902930940240000000000000000E-16 " "
relative error = 1.80762544921788170000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.675034846900015 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 257.6322096064438 " "
Order of pole (three term test) = -6778.038187584472 " "
Radius of convergence (six term test) for eq 1 = 999.7221231879431 " "
Order of pole (six term test) = 107980.97667861186 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1699999999999973 " "
y[1] (analytic) = -0.10664189419472152 " "
y[1] (numeric) = -0.1066418941947213 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.08215173409796670000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.674110258967232 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 257.36463031076335 " "
Order of pole (three term test) = -6771.154441477845 " "
Radius of convergence (six term test) for eq 1 = 685.1970790460426 " "
Order of pole (six term test) = 50982.70355736371 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.179999999999997 " "
y[1] (analytic) = -0.10580687267946132 " "
y[1] (numeric) = -0.10580687267946108 " "
absolute error = 2.35922392732845760000000000000000E-16 " "
relative error = 2.2297454480822380000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.673184349074486 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 257.0078176489207 " "
Order of pole (three term test) = -6761.912654360363 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.189999999999997 " "
y[1] (analytic) = -0.10497791020305475 " "
y[1] (numeric) = -0.10497791020305448 " "
absolute error = 2.6367796834847470000000000000000E-16 " "
relative error = 2.5117471650793250000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.67225715634341 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 257.25315124903926 " "
Order of pole (three term test) = -6768.542641603708 " "
Radius of convergence (six term test) for eq 1 = 419.86488752978266 " "
Order of pole (six term test) = 19510.769877384082 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1999999999999966 " "
y[1] (analytic) = -0.10415496886059414 " "
y[1] (numeric) = -0.10415496886059385 " "
absolute error = 2.9143354396410360000000000000000E-16 " "
relative error = 2.7980762430467610000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.671328670561955 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 256.67242242275546 " "
Order of pole (three term test) = -6753.403051366676 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2099999999999964 " "
y[1] (analytic) = -0.10333801090161203 " "
y[1] (numeric) = -0.10333801090161174 " "
absolute error = 2.9143354396410360000000000000000E-16 " "
relative error = 2.8201969577445907000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.670398910605705 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 256.49135847144174 " "
Order of pole (three term test) = -6748.788810579657 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.219999999999996 " "
y[1] (analytic) = -0.10252699873076064 " "
y[1] (numeric) = -0.10252699873076034 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 2.9778627634821920000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.669467782519167 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 256.6690638301248 " "
Order of pole (three term test) = -6753.641154304279 " "
Radius of convergence (six term test) for eq 1 = 561.9476865897943 " "
Order of pole (six term test) = 34146.494300758975 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.229999999999996 " "
y[1] (analytic) = -0.10172189490846235 " "
y[1] (numeric) = -0.10172189490846202 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.27428925392382550000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.668535393759285 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 256.3827320966728 " "
Order of pole (three term test) = -6746.251997636464 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2399999999999958 " "
y[1] (analytic) = -0.100922662151532 " "
y[1] (numeric) = -0.10092266215153167 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.30021920039582530000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.667601683977903 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 256.3513377268522 " "
Order of pole (three term test) = -6745.591501961330 " "
Radius of convergence (six term test) for eq 1 = 651.8773650679601 " "
Order of pole (six term test) = 45549.57218485061 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2499999999999956 " "
y[1] (analytic) = -0.10012926333377148 " "
y[1] (numeric) = -0.10012926333377112 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 3.60356673952956230000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.666666660383942 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 255.91899351680885 " "
Order of pole (three term test) = -6734.362137834203 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2599999999999953 " "
y[1] (analytic) = -9.93416614865366600E-2 " "
y[1] (numeric) = -9.9341661486536290E-2 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 3.6321365840259940000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.665730332959942 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 256.1416871232567 " "
Order of pole (three term test) = -6740.393697829739 " "
Radius of convergence (six term test) for eq 1 = 466.9378592247013 " "
Order of pole (six term test) = 23613.427022368924 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.269999999999995 " "
y[1] (analytic) = -9.85598197992779700E-2 " "
y[1] (numeric) = -9.85598197992775800E-2 " "
absolute error = 3.8857805861880480000000000000000E-16 " "
relative error = 3.9425605628151870000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.664792681048137 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 256.41352624682696 " "
Order of pole (three term test) = -6747.723719076956 " "
Radius of convergence (six term test) for eq 1 = 252.38579002809723 " "
Order of pole (six term test) = 7378.0094648983 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.279999999999995 " "
y[1] (analytic) = -9.77837016200542200E-2 " "
y[1] (numeric) = -9.7783701620053800E-2 " "
absolute error = 4.1633363423443370000000000000000E-16 " "
relative error = 4.25769967117964900000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.66385371436007 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 255.77500661930108 " "
Order of pole (three term test) = -6731.057911683514 " "
Radius of convergence (six term test) for eq 1 = 572.0036973501396 " "
Order of pole (six term test) = 34913.3537107181 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2899999999999947 " "
y[1] (analytic) = -9.7013270456020710E-2 " "
y[1] (numeric) = -9.70132704560202800E-2 " "
absolute error = 4.1633363423443370000000000000000E-16 " "
relative error = 4.2915122052623860000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.662913453180582 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 255.33006781830267 " "
Order of pole (three term test) = -6719.4942120561445 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2999999999999945 " "
y[1] (analytic) = -9.624848997389200E-2 " "
y[1] (numeric) = -9.62484899738915700E-2 " "
absolute error = 4.30211422042248160000000000000000E-16 " "
relative error = 4.4697991849944420000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.661971830013393 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 255.43007316105133 " "
Order of pole (three term test) = -6722.29080209067 " "
Radius of convergence (six term test) for eq 1 = 1081.180084593937 " "
Order of pole (six term test) = 122476.69457136035 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3099999999999943 " "
y[1] (analytic) = -9.54893240003795600E-2 " "
y[1] (numeric) = -9.5489324000379100E-2 " "
absolute error = 4.5796699765787710000000000000000E-16 " "
relative error = 4.7960020918784250000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.66102887601629 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 255.37602978446228 " "
Order of pole (three term test) = -6721.035276505441 " "
Radius of convergence (six term test) for eq 1 = 405.9631606875206 " "
Order of pole (six term test) = 17814.05660156068 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.319999999999994 " "
y[1] (analytic) = -9.47357365226049700E-2 " "
y[1] (numeric) = -9.47357365226044900E-2 " "
absolute error = 4.857225732735060000000000000000E-16 " "
relative error = 5.1271314406006360000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.660084638078477 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 254.54866974289033 " "
Order of pole (three term test) = -6699.385483575618 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.329999999999994 " "
y[1] (analytic) = -9.39876916884891300E-2 " "
y[1] (numeric) = -9.39876916884886300E-2 " "
absolute error = 4.9960036108132044000000000000000E-16 " "
relative error = 5.3155934793801040000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.659139036861504 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 254.70676816991585 " "
Order of pole (three term test) = -6703.715568459847 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3399999999999936 " "
y[1] (analytic) = -9.32451538071177200E-2 " "
y[1] (numeric) = -9.3245153807117200E-2 " "
absolute error = 5.1347814888913490000000000000000E-16 " "
relative error = 5.5067542700534360000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.658192107515806 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 254.54096676937226 " "
Order of pole (three term test) = -6699.512758837911 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3499999999999934 " "
y[1] (analytic) = -9.25080873490836200E-2 " "
y[1] (numeric) = -9.25080873490830900E-2 " "
absolute error = 5.4123372450476380000000000000000E-16 " "
relative error = 5.8506638718233670000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.657243799414328 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 254.97597811316103 " "
Order of pole (three term test) = -6711.144848226373 " "
Radius of convergence (six term test) for eq 1 = 321.83917443902686 " "
Order of pole (six term test) = 11356.5613021947 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.359999999999993 " "
y[1] (analytic) = -9.17764569468063600E-2 " "
y[1] (numeric) = -9.17764569468058200E-2 " "
absolute error = 5.4123372450476380000000000000000E-16 " "
relative error = 5.8973046302981920000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.656294210689428 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 254.06625038991805 " "
Order of pole (three term test) = -6687.325651888628 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.369999999999993 " "
y[1] (analytic) = -9.10502273948294700E-2 " "
y[1] (numeric) = -9.10502273948288900E-2 " "
absolute error = 5.8286708792820720000000000000000E-16 " "
relative error = 6.4015994754265360000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.65534324264909 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 254.14302677308422 " "
Order of pole (three term test) = -6689.514238174931 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.379999999999993 " "
y[1] (analytic) = -9.03293636500955600E-2 " "
y[1] (numeric) = -9.03293636500949700E-2 " "
absolute error = 5.8286708792820720000000000000000E-16 " "
relative error = 6.4526867496380360000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.654390912544134 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 254.16740168855432 " "
Order of pole (three term test) = -6690.325037221263 " "
Radius of convergence (six term test) for eq 1 = 514.6081329156377 " "
Order of pole (six term test) = 27779.623153076584 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3899999999999926 " "
y[1] (analytic) = -8.96138308322002700E-2 " "
y[1] (numeric) = -8.96138308321996700E-2 " "
absolute error = 5.9674487573602160000000000000000E-16 " "
relative error = 6.6590711522355520000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.653437273988178 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 254.1860952975569 " "
Order of pole (three term test) = -6690.975265873136 " "
Radius of convergence (six term test) for eq 1 = 466.1547259508757 " "
Order of pole (six term test) = 22904.67926736946 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3999999999999924 " "
y[1] (analytic) = -8.8903594223624800E-2 " "
y[1] (numeric) = -8.89035942236241700E-2 " "
absolute error = 6.2450045135165060000000000000000E-16 " "
relative error = 7.0244679847341750000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.6524822890831 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 253.4673527279501 " "
Order of pole (three term test) = -6672.18706376197 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.409999999999992 " "
y[1] (analytic) = -8.81986192699477400E-2 " "
y[1] (numeric) = -8.8198619269947100E-2 " "
absolute error = 6.383782391594650000000000000000E-16 " "
relative error = 7.2379618234792720000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.651525903742474 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 253.7564322456178 " "
Order of pole (three term test) = -6679.975300202182 " "
Radius of convergence (six term test) for eq 1 = 954.8622970046943 " "
Order of pole (six term test) = 93562.64203078087 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.419999999999992 " "
y[1] (analytic) = -8.74988715800367200E-2 " "
y[1] (numeric) = -8.74988715800360600E-2 " "
absolute error = 6.5225602696727950000000000000000E-16 " "
relative error = 7.4544507282091020000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.65056817874725 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 253.64728865392823 " "
Order of pole (three term test) = -6677.266256786961 " "
Radius of convergence (six term test) for eq 1 = 514.1477615079762 " "
Order of pole (six term test) = 27523.31468582281 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4299999999999917 " "
y[1] (analytic) = -8.68043169262199300E-2 " "
y[1] (numeric) = -8.68043169262192500E-2 " "
absolute error = 6.8001160258290840000000000000000E-16 " "
relative error = 7.8338454429736490000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.649609104066034 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 253.39434106915053 " "
Order of pole (three term test) = -6670.75804564367 " "
Radius of convergence (six term test) for eq 1 = 1449.6244800130378 " "
Order of pole (six term test) = 213890.57654372777 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4399999999999915 " "
y[1] (analytic) = -8.6114921244438100E-2 " "
y[1] (numeric) = -8.61149212444374100E-2 " "
absolute error = 6.9388939039072280000000000000000E-16 " "
relative error = 8.0577138126981570000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.648648676483514 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 253.0996638289592 " "
Order of pole (three term test) = -6663.151993464715 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4499999999999913 " "
y[1] (analytic) = -8.54306506343774000E-2 " "
y[1] (numeric) = -8.5430650634376700E-2 " "
absolute error = 7.0776717819853730000000000000000E-16 " "
relative error = 8.2846984418696550000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.64768682960725 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 252.78077764627426 " "
Order of pole (three term test) = -6654.913416838914 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.459999999999991 " "
y[1] (analytic) = -8.47514713595832600E-2 " "
y[1] (numeric) = -8.47514713595825500E-2 " "
absolute error = 7.0776717819853730000000000000000E-16 " "
relative error = 8.3510901562478490000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.6467236570389 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 252.54281165749296 " "
Order of pole (three term test) = -6648.802270726292 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.469999999999991 " "
y[1] (analytic) = -8.40773498475559400E-2 " "
y[1] (numeric) = -8.4077349847555200E-2 " "
absolute error = 7.3552275381416620000000000000000E-16 " "
relative error = 8.7481676711715160000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.645759089523654 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 252.69649466992232 " "
Order of pole (three term test) = -6653.020606691028 " "
Radius of convergence (six term test) for eq 1 = 1260.8810898401282 " "
Order of pole (six term test) = 160505.03726453707 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4799999999999907 " "
y[1] (analytic) = -8.34082526898278100E-2 " "
y[1] (numeric) = -8.34082526898270600E-2 " "
absolute error = 7.4940054162198070000000000000000E-16 " "
relative error = 8.9847289381398950000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.644793156469095 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 252.5727575220315 " "
Order of pole (three term test) = -6649.921896125215 " "
Radius of convergence (six term test) for eq 1 = 793.3137454704996 " "
Order of pole (six term test) = 63830.13922142254 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4899999999999904 " "
y[1] (analytic) = -8.27441466420229600E-2 " "
y[1] (numeric) = -8.27441466420222200E-2 " "
absolute error = 7.4940054162198070000000000000000E-16 " "
relative error = 9.0568405383902450000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.64382586138462 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 252.1016689676278 " "
Order of pole (three term test) = -6637.660202245554 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4999999999999902 " "
y[1] (analytic) = -8.20849986238994400E-2 " "
y[1] (numeric) = -8.20849986238986800E-2 " "
absolute error = 7.6327832942979510000000000000000E-16 " "
relative error = 9.2986336386142430000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.642857128818736 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 252.44476566977582 " "
Order of pole (three term test) = -6646.87593016656 " "
Radius of convergence (six term test) for eq 1 = 557.3352162256127 " "
Order of pole (six term test) = 31701.084498111763 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.50999999999999 " "
y[1] (analytic) = -8.14307757193741300E-2 " "
y[1] (numeric) = -8.14307757193733500E-2 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 9.5437641404256880000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.64188706011212 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 252.07276755441754 " "
Order of pole (three term test) = -6637.230162574478 " "
Radius of convergence (six term test) for eq 1 = 3240.5202008416113 " "
Order of pole (six term test) = 1048821.5775710272 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.51999999999999 " "
y[1] (analytic) = -8.07814451765312300E-2 " "
y[1] (numeric) = -8.07814451765304300E-2 " "
absolute error = 7.910339050454240000000000000000E-16 " "
relative error = 9.7922722639683190000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.6409155895237 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 251.7061037107092 " "
Order of pole (three term test) = -6627.726672614397 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5299999999999896 " "
y[1] (analytic) = -8.01369744076140800E-2 " "
y[1] (numeric) = -8.01369744076132700E-2 " "
absolute error = 8.0491169285323850000000000000000E-16 " "
relative error = 1.0044198683607415000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.639942741497308 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 251.72745190325145 " "
Order of pole (three term test) = -6628.453359111268 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5399999999999894 " "
y[1] (analytic) = -7.94973309890010200E-2 " "
y[1] (numeric) = -7.9497330989000200E-2 " "
absolute error = 8.1878948066105300000000000000000E-16 " "
relative error = 1.029958453289882000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.638968485321186 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 251.8462120604986 " "
Order of pole (three term test) = -6631.749178872873 " "
Radius of convergence (six term test) for eq 1 = 520.4702372319849 " "
Order of pole (six term test) = 27529.019284208258 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.549999999999989 " "
y[1] (analytic) = -7.88624826611653700E-2 " "
y[1] (numeric) = -7.88624826611645300E-2 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 1.0558471409611123000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.63799282152443 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 251.53844360428448 " "
Order of pole (three term test) = -6623.798856722823 " "
Radius of convergence (six term test) for eq 1 = 920.0565716717565 " "
Order of pole (six term test) = 84475.69820894017 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.559999999999989 " "
y[1] (analytic) = -7.82323973286200300E-2 " "
y[1] (numeric) = -7.8232397328619200E-2 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 1.0643509554886793000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.637015787492327 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 251.30602291448886 " "
Order of pole (three term test) = -6617.836585168726 " "
Radius of convergence (six term test) for eq 1 = 906.2594691202752 " "
Order of pole (six term test) = 81779.54775198916 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5699999999999887 " "
y[1] (analytic) = -7.76070430598469600E-2 " "
y[1] (numeric) = -7.76070430598461100E-2 " "
absolute error = 8.4654505627668190000000000000000E-16 " "
relative error = 1.0908095746205218000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.63603733515032 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 251.09052371826402 " "
Order of pole (three term test) = -6612.314395283449 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5799999999999885 " "
y[1] (analytic) = -7.69863880872117200E-2 " "
y[1] (numeric) = -7.69863880872108600E-2 " "
absolute error = 8.7430063189231080000000000000000E-16 " "
relative error = 1.1356561252125318000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.63505745746309 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 251.01341954182135 " "
Order of pole (three term test) = -6610.451388140444 " "
Radius of convergence (six term test) for eq 1 = 712.3148034866726 " "
Order of pole (six term test) = 50552.283299281014 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5899999999999883 " "
y[1] (analytic) = -7.63704008068635700E-2 " "
y[1] (numeric) = -7.63704008068626800E-2 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 1.162987767926318000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.634076217686452 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 250.548539485473 " "
Order of pole (three term test) = -6598.35067450399 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.599999999999988 " "
y[1] (analytic) = -7.57590497786212900E-2 " "
y[1] (numeric) = -7.57590497786203800E-2 " "
absolute error = 9.0205620750793970000000000000000E-16 " "
relative error = 1.19069102654254000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.633093532839368 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 250.43846731875448 " "
Order of pole (three term test) = -6595.612599926362 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.609999999999988 " "
y[1] (analytic) = -7.51523037258450800E-2 " "
y[1] (numeric) = -7.51523037258441600E-2 " "
absolute error = 9.1593399531575410000000000000000E-16 " "
relative error = 1.218770350217171000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.632109434713414 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 250.34378986178208 " "
Order of pole (three term test) = -6593.284865306570 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6199999999999877 " "
y[1] (analytic) = -7.45501315352947800E-2 " "
y[1] (numeric) = -7.45501315352938600E-2 " "
absolute error = 9.2981178312356860000000000000000E-16 " "
relative error = 1.247230238196644100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.631123927774002 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 250.2813144960876 " "
Order of pole (three term test) = -6591.798267944643 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6299999999999875 " "
y[1] (analytic) = -7.39525022569747600E-2 " "
y[1] (numeric) = -7.39525022569738200E-2 " "
absolute error = 9.436895709313831000000000000000E-16 " "
relative error = 1.276075240364676000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.630136968135027 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 250.40424685127073 " "
Order of pole (three term test) = -6595.210704446268 " "
Radius of convergence (six term test) for eq 1 = 518.8928056356215 " "
Order of pole (six term test) = 26851.18164142635 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6399999999999872 " "
y[1] (analytic) = -7.33593851039656500E-2 " "
y[1] (numeric) = -7.33593851039646700E-2 " "
absolute error = 9.714451465470120000000000000000E-16 " "
relative error = 1.324227493415151000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.629148638353453 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 250.01478797120953 " "
Order of pole (three term test) = -6585.097852303953 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.649999999999987 " "
y[1] (analytic) = -7.27707494522432200E-2 " "
y[1] (numeric) = -7.27707494522422700E-2 " "
absolute error = 9.5756735873919750000000000000000E-16 " "
relative error = 1.3158684855480482000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.628158844225002 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 249.79548517645304 " "
Order of pole (three term test) = -6579.482675666793 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.659999999999987 " "
y[1] (analytic) = -7.2186564840485110E-2 " "
y[1] (numeric) = -7.21865648404841200E-2 " "
absolute error = 9.8532293435482640000000000000000E-16 " "
relative error = 1.364967202043971000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.627167637550894 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 249.6574164203255 " "
Order of pole (three term test) = -6576.00184647544 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6699999999999866 " "
y[1] (analytic) = -7.16068009698645400E-2 " "
y[1] (numeric) = -7.16068009698635400E-2 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.395399192016902000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.62617498825503 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 249.72550330707628 " "
Order of pole (three term test) = -6577.9671669870495 " "
Radius of convergence (six term test) for eq 1 = 567.152455909454 " "
Order of pole (six term test) = 31730.103165086715 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6799999999999864 " "
y[1] (analytic) = -7.10314277038327100E-2 " "
y[1] (numeric) = -7.10314277038317100E-2 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 1.4067022928622988000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.625180905052623 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 249.55568639697086 " "
Order of pole (three term test) = -6573.653417504523 " "
Radius of convergence (six term test) for eq 1 = 705.4851009181018 " "
Order of pole (six term test) = 48652.02481637403 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.689999999999986 " "
y[1] (analytic) = -7.04604150678891600E-2 " "
y[1] (numeric) = -7.04604150678881500E-2 " "
absolute error = 1.0130785099704553000000000000000E-15 " "
relative error = 1.4377981012379026000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.62418536593917 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 249.3469204769636 " "
Order of pole (three term test) = -6568.314674786814 " "
Radius of convergence (six term test) for eq 1 = 659.854069654241 " "
Order of pole (six term test) = 42534.378928883874 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.699999999999986 " "
y[1] (analytic) = -6.98937332493405500E-2 " "
y[1] (numeric) = -6.98937332493395400E-2 " "
absolute error = 1.0130785099704553000000000000000E-15 " "
relative error = 1.4494554273648186000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.623188404695465 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 249.0383528088425 " "
Order of pole (three term test) = -6560.338487382350 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7099999999999858 " "
y[1] (analytic) = -6.93313525970483600E-2 " "
y[1] (numeric) = -6.93313525970473200E-2 " "
absolute error = 1.0269562977782698000000000000000E-15 " "
relative error = 1.4812292841694688000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.622189995525233 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 248.86176831166193 " "
Order of pole (three term test) = -6555.846956778519 " "
Radius of convergence (six term test) for eq 1 = 3363.5263309950983 " "
Order of pole (six term test) = 1086008.4491775057 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7199999999999855 " "
y[1] (analytic) = -6.87732436211654900E-2 " "
y[1] (numeric) = -6.87732436211644500E-2 " "
absolute error = 1.0408340855860843000000000000000E-15 " "
relative error = 1.5134288144375954000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.62119013120418 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 248.86254576118125 " "
Order of pole (three term test) = -6556.031518964746 " "
Radius of convergence (six term test) for eq 1 = 853.8695102230714 " "
Order of pole (six term test) = 70447.42312208135 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7299999999999853 " "
y[1] (analytic) = -6.82193769928622000E-2 " "
y[1] (numeric) = -6.82193769928611400E-2 " "
absolute error = 1.0685896612017132000000000000000E-15 " "
relative error = 1.5664019642300744000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.620188820187376 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 248.87578155645534 " "
Order of pole (three term test) = -6556.546844197897 " "
Radius of convergence (six term test) for eq 1 = 542.2734963728353 " "
Order of pole (six term test) = 28713.063167830074 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.739999999999985 " "
y[1] (analytic) = -6.7669723544041390E-2 " "
y[1] (numeric) = -6.76697235440403200E-2 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 1.599633325389643000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.619186050469246 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 248.65478014035344 " "
Order of pole (three term test) = -6550.88335563179 " "
Radius of convergence (six term test) for eq 1 = 586.8933305678629 " "
Order of pole (six term test) = 33457.290820539805 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.749999999999985 " "
y[1] (analytic) = -6.71242542670437700E-2 " "
y[1] (numeric) = -6.71242542670426900E-2 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 1.6126323649021013000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.618181801162336 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 248.81156550069554 " "
Order of pole (three term test) = -6555.189277502203 " "
Radius of convergence (six term test) for eq 1 = 323.71460242066524 " "
Order of pole (six term test) = 10568.5574202379 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7599999999999847 " "
y[1] (analytic) = -6.65829403143428600E-2 " "
y[1] (numeric) = -6.65829403143417700E-2 " "
absolute error = 1.096345236817342100000000000000E-15 " "
relative error = 1.6465857945615153000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.617176125670746 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 248.49244435100982 " "
Order of pole (three term test) = -6546.933548053782 " "
Radius of convergence (six term test) for eq 1 = 426.8460900433163 " "
Order of pole (six term test) = 17907.14460017416 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7699999999999845 " "
y[1] (analytic) = -6.60457529982302400E-2 " "
y[1] (numeric) = -6.60457529982291300E-2 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.6809907893016315000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.616168952225852 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 248.27679489911034 " "
Order of pole (three term test) = -6541.412145610156 " "
Radius of convergence (six term test) for eq 1 = 423.44242518230067 " "
Order of pole (six term test) = 17593.504130107292 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7799999999999843 " "
y[1] (analytic) = -6.55126637904912100E-2 " "
y[1] (numeric) = -6.55126637904900900E-2 " "
absolute error = 1.124100812432971000000000000000E-15 " "
relative error = 1.7158527029641676000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.615160359985072 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 247.61813346057107 " "
Order of pole (three term test) = -6524.196080661835 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.789999999999984 " "
y[1] (analytic) = -6.49836443220709800E-2 " "
y[1] (numeric) = -6.49836443220698400E-2 " "
absolute error = 1.124100812432971000000000000000E-15 " "
relative error = 1.7298211329326488000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.61415026555885 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 247.51530539248873 " "
Order of pole (three term test) = -6521.647014903264 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.799999999999984 " "
y[1] (analytic) = -6.44586663827318900E-2 " "
y[1] (numeric) = -6.44586663827307400E-2 " "
absolute error = 1.1379786002407855000000000000000E-15 " "
relative error = 1.7654392560402762000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.61313867517215 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 247.57763226517486 " "
Order of pole (three term test) = -6523.459953652105 " "
Radius of convergence (six term test) for eq 1 = 1243.7579703710514 " "
Order of pole (six term test) = 146514.37190254353 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8099999999999836 " "
y[1] (analytic) = -6.39377019207015400E-2 " "
y[1] (numeric) = -6.3937701920700410E-2 " "
absolute error = 1.1379786002407855000000000000000E-15 " "
relative error = 1.7798240569424260000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.612125647108584 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 247.4276949096702 " "
Order of pole (three term test) = -6519.671442552998 " "
Radius of convergence (six term test) for eq 1 = 682.1716736418992 " "
Order of pole (six term test) = 44393.67124651706 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8199999999999834 " "
y[1] (analytic) = -6.34207230423123300E-2 " "
y[1] (numeric) = -6.34207230423111700E-2 " "
absolute error = 1.1657341758564144000000000000000E-15 " "
relative error = 1.838096634563237000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.611111103734796 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 247.1754314397552 " "
Order of pole (three term test) = -6513.181492192056 " "
Radius of convergence (six term test) for eq 1 = 1683.3720015393887 " "
Order of pole (six term test) = 266809.42541200493 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.829999999999983 " "
y[1] (analytic) = -6.29077020116322600E-2 " "
y[1] (numeric) = -6.2907702011631100E-2 " "
absolute error = 1.1657341758564144000000000000000E-15 " "
relative error = 1.8530865674299446000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.610095097496764 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 246.92512294271776 " "
Order of pole (three term test) = -6506.7395338666265 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.839999999999983 " "
y[1] (analytic) = -6.23986112500877400E-2 " "
y[1] (numeric) = -6.23986112500865700E-2 " "
absolute error = 1.1796119636642288000000000000000E-15 " "
relative error = 1.890445860944654000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.609077604059728 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 246.90832898956847 " "
Order of pole (three term test) = -6506.465118533673 " "
Radius of convergence (six term test) for eq 1 = 1743.7858086564631 " "
Order of pole (six term test) = 285204.9249060704 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8499999999999828 " "
y[1] (analytic) = -6.18934233360780200E-2 " "
y[1] (numeric) = -6.189342333607684000E-2 " "
absolute error = 1.186550857568136000000000000000E-15 " "
relative error = 1.917087137231410800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.608058602842103 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 246.76129791000346 " "
Order of pole (three term test) = -6502.750854359002 " "
Radius of convergence (six term test) for eq 1 = 1616.9910088557072 " "
Order of pole (six term test) = 244944.86002565586 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8599999999999826 " "
y[1] (analytic) = -6.139211100458187000E-2 " "
y[1] (numeric) = -6.139211100458067000E-2 " "
absolute error = 1.2004286453759505000000000000000E-15 " "
relative error = 1.95534674689124000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.607038109957557 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 246.77427204950968 " "
Order of pole (three term test) = -6503.262684331968 " "
Radius of convergence (six term test) for eq 1 = 531.8467008161485 " "
Order of pole (six term test) = 26946.913873449517 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8699999999999823 " "
y[1] (analytic) = -6.089464714675646000E-2 " "
y[1] (numeric) = -6.08946471467552500E-2 " "
absolute error = 1.214306433183765000000000000000E-15 " "
relative error = 1.9941103037468616000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.606016147629663 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 246.30128261355233 " "
Order of pole (three term test) = -6490.946602887796 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.879999999999982 " "
y[1] (analytic) = -6.040100480952877000E-2 " "
y[1] (numeric) = -6.04010048095275500E-2 " "
absolute error = 1.2212453270876722000000000000000E-15 " "
relative error = 2.021895713388878000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.604992641091545 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 246.75967112203267 " "
Order of pole (three term test) = -6503.208269605469 " "
Radius of convergence (six term test) for eq 1 = 405.17632912684684 " "
Order of pole (six term test) = 15829.11530002968 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.889999999999982 " "
y[1] (analytic) = -5.99111571951796400E-2 " "
y[1] (numeric) = -5.9911157195178400E-2 " "
absolute error = 1.2420620087993939000000000000000E-15 " "
relative error = 2.0731731232514536000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.603967667633913 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 246.31810832948415 " "
Order of pole (three term test) = -6491.722127832776 " "
Radius of convergence (six term test) for eq 1 = 636.2979628858924 " "
Order of pole (six term test) = 38123.219927047794 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8999999999999817 " "
y[1] (analytic) = -5.942507766092069000E-2 " "
y[1] (numeric) = -5.94250776609194500E-2 " "
absolute error = 1.2351231148954867000000000000000E-15 " "
relative error = 2.078454355487922800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.6029411695701 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 246.11422181967075 " "
Order of pole (three term test) = -6486.510461048173 " "
Radius of convergence (six term test) for eq 1 = 613.9461390282422 " "
Order of pole (six term test) = 35446.34556364741 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9099999999999815 " "
y[1] (analytic) = -5.894273971846432000E-2 " "
y[1] (numeric) = -5.894273971846308000E-2 " "
absolute error = 1.2490009027033011000000000000000E-15 " "
relative error = 2.1190072071116178000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.601913182554892 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 245.82061596619815 " "
Order of pole (three term test) = -6478.921950762603 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9199999999999813 " "
y[1] (analytic) = -5.84641170335868000E-2 " "
y[1] (numeric) = -5.846411703358555000E-2 " "
absolute error = 1.2559397966072083000000000000000E-15 " "
relative error = 2.1482233211282206000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.600883649439158 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 245.92284805519685 " "
Order of pole (three term test) = -6481.793817614618 " "
Radius of convergence (six term test) for eq 1 = 456.3300809645164 " "
Order of pole (six term test) = 19763.45769227374 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.929999999999981 " "
y[1] (analytic) = -5.798918342568494000E-2 " "
y[1] (numeric) = -5.79891834256836700E-2 " "
absolute error = 1.27675647831893000000000000000E-15 " "
relative error = 2.201714876628907000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.599852617879858 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 245.5023033417421 " "
Order of pole (three term test) = -6470.858898030355 " "
Radius of convergence (six term test) for eq 1 = 1331.7104734163565 " "
Order of pole (six term test) = 163832.09992089664 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.939999999999981 " "
y[1] (analytic) = -5.7517912867326090E-2 " "
y[1] (numeric) = -5.75179128673248200E-2 " "
absolute error = 1.27675647831893000000000000000E-15 " "
relative error = 2.2197545332772506000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.59882006369886 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 245.61958260345799 " "
Order of pole (three term test) = -6474.12206671592 " "
Radius of convergence (six term test) for eq 1 = 467.4071568803764 " "
Order of pole (six term test) = 20638.31489207609 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9499999999999806 " "
y[1] (analytic) = -5.70502794837922100E-2 " "
y[1] (numeric) = -5.705027948379092000E-2 " "
absolute error = 1.2836953722228372000000000000000E-15 " "
relative error = 2.250112328700389000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.59778598252196 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 245.4044383189002 " "
Order of pole (three term test) = -6468.607542796207 " "
Radius of convergence (six term test) for eq 1 = 695.0586608667156 " "
Order of pole (six term test) = 44897.16654540431 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9599999999999804 " "
y[1] (analytic) = -5.658625755261751000E-2 " "
y[1] (numeric) = -5.65862575526162100E-2 " "
absolute error = 1.2975731600306517000000000000000E-15 " "
relative error = 2.2930888455100346000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.59675037586699 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 244.70894822670795 " "
Order of pole (three term test) = -6450.417783417387 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.96999999999998 " "
y[1] (analytic) = -5.61258215031204200E-2 " "
y[1] (numeric) = -5.61258215031191200E-2 " "
absolute error = 1.2975731600306517000000000000000E-15 " "
relative error = 2.3119005215068625000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.59571322327769 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 244.8403859086345 " "
Order of pole (three term test) = -6454.057470348262 " "
Radius of convergence (six term test) for eq 1 = 814.2263257354124 " "
Order of pole (six term test) = 61137.11319119553 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.97999999999998 " "
y[1] (analytic) = -5.56689459159296800E-2 " "
y[1] (numeric) = -5.56689459159283500E-2 " "
absolute error = 1.3253287356462806000000000000000E-15 " "
relative error = 2.380732585897657000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.594674551546497 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 244.9076411570595 " "
Order of pole (three term test) = -6455.996839521976 " "
Radius of convergence (six term test) for eq 1 = 781.8395279224262 " "
Order of pole (six term test) = 56333.64907055695 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.98999999999998 " "
y[1] (analytic) = -5.5215605522504800E-2 " "
y[1] (numeric) = -5.521560552250346000E-2 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 2.4128461816961908000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.593634351590396 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 244.36706648900577 " "
Order of pole (three term test) = -6441.895456097336 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9999999999999796 " "
y[1] (analytic) = -5.47657752046512600E-2 " "
y[1] (numeric) = -5.47657752046499100E-2 " "
absolute error = 1.339206523454095000000000000000E-15 " "
relative error = 2.445334734055506000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.592592608971568 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 244.59021851770737 " "
Order of pole (three term test) = -6447.953173124579 " "
Radius of convergence (six term test) for eq 1 = 554.0091011506503 " "
Order of pole (six term test) = 28460.41467047257 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0099999999999794 " "
y[1] (analytic) = -5.43194299940302200E-2 " "
y[1] (numeric) = -5.431942999402888000E-2 " "
absolute error = 1.3461454173580023000000000000000E-15 " "
relative error = 2.4782023992261065000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.591549281891087 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 244.5432218399489 " "
Order of pole (three term test) = -6446.881430023612 " "
Radius of convergence (six term test) for eq 1 = 526.1065529624899 " "
Order of pole (six term test) = 25659.565464457526 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.019999999999979 " "
y[1] (analytic) = -5.38765450716632300E-2 " "
y[1] (numeric) = -5.387654507166187000E-2 " "
absolute error = 1.3530843112619095000000000000000E-15 " "
relative error = 2.511453378204042000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.590504437955104 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 243.836153703284 " "
Order of pole (three term test) = -6428.3803818930965 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.029999999999979 " "
y[1] (analytic) = -5.34370957674319000E-2 " "
y[1] (numeric) = -5.343709576743052000E-2 " "
absolute error = 1.366962099069724000000000000000E-15 " "
relative error = 2.55807708004753000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.589458064865763 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 243.85464530299686 " "
Order of pole (three term test) = -6429.035712129039 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0399999999999787 " "
y[1] (analytic) = -5.300105755957273000E-2 " "
y[1] (numeric) = -5.30010575595713500E-2 " "
absolute error = 1.3739009929736312000000000000000E-15 " "
relative error = 2.5922142995531333000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.588410103482396 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 243.82240060877413 " "
Order of pole (three term test) = -6428.3528159694315 " "
Radius of convergence (six term test) for eq 1 = 2005.2302025253373 " "
Order of pole (six term test) = 363488.82272904785 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0499999999999785 " "
y[1] (analytic) = -5.25684060741673500E-2 " "
y[1] (numeric) = -5.25684060741659700E-2 " "
absolute error = 1.3739009929736312000000000000000E-15 " "
relative error = 2.6135488891088520000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.587360588966927 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 243.54017316473025 " "
Order of pole (three term test) = -6421.068932556977 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0599999999999783 " "
y[1] (analytic) = -5.21391170846281300E-2 " "
y[1] (numeric) = -5.21391170846267500E-2 " "
absolute error = 1.3808398868775384000000000000000E-15 " "
relative error = 2.648376044872926000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.586309525924698 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 243.496118854432 " "
Order of pole (three term test) = -6420.075397093788 " "
Radius of convergence (six term test) for eq 1 = 954.0908890948103 " "
Order of pole (six term test) = 82394.9189227966 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.069999999999978 " "
y[1] (analytic) = -5.17131665111793600E-2 " "
y[1] (numeric) = -5.17131665111779800E-2 " "
absolute error = 1.3877787807814457000000000000000E-15 " "
relative error = 2.6836082073632744000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.58525687709758 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 243.42466819763916 " "
Order of pole (three term test) = -6418.354465159736 " "
Radius of convergence (six term test) for eq 1 = 1543.6671538331157 " "
Order of pole (six term test) = 214510.32444385177 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.079999999999978 " "
y[1] (analytic) = -5.12905304203342700E-2 " "
y[1] (numeric) = -5.129053042033287000E-2 " "
absolute error = 1.394717674685353000000000000000E-15 " "
relative error = 2.7192498561730866000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.584202683453963 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 243.26638867994683 " "
Order of pole (three term test) = -6414.345344298000 " "
Radius of convergence (six term test) for eq 1 = 693.556525540196 " "
Order of pole (six term test) = 43640.95151804947 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0899999999999777 " "
y[1] (analytic) = -5.08711850243678500E-2 " "
y[1] (numeric) = -5.08711850243664400E-2 " "
absolute error = 1.4085954624931674000000000000000E-15 " "
relative error = 2.7689456453951977000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.58314690335633 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 242.8146268729468 " "
Order of pole (three term test) = -6402.585027678080 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0999999999999774 " "
y[1] (analytic) = -5.04551066807856800E-2 " "
y[1] (numeric) = -5.04551066807842600E-2 " "
absolute error = 1.4155343563970746000000000000000E-15 " "
relative error = 2.8055323821882605000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.582089554283144 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 243.04401174871887 " "
Order of pole (three term test) = -6408.810429984114 " "
Radius of convergence (six term test) for eq 1 = 511.46907416096286 " "
Order of pole (six term test) = 23891.725099162657 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1099999999999772 " "
y[1] (analytic) = -5.004227189178896000E-2 " "
y[1] (numeric) = -5.00422718917875400E-2 " "
absolute error = 1.4224732503009818000000000000000E-15 " "
relative error = 2.8425433069404354000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.581030626941935 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 242.61149393217863 " "
Order of pole (three term test) = -6397.5555418559 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.119999999999977 " "
y[1] (analytic) = -4.96326573037357200E-2 " "
y[1] (numeric) = -4.963265730373428400E-2 " "
absolute error = 1.4363510381087963000000000000000E-15 " "
relative error = 2.893963604081875000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.579970094644718 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 242.28121516751622 " "
Order of pole (three term test) = -6389.001584879702 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.129999999999977 " "
y[1] (analytic) = -4.92262397065984960E-2 " "
y[1] (numeric) = -4.92262397065970500E-2 " "
absolute error = 1.4432899320127035000000000000000E-15 " "
relative error = 2.931952431498112000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.57890801610487 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 242.0463469023206 " "
Order of pole (three term test) = -6382.968165213083 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1399999999999766 " "
y[1] (analytic) = -4.882299603341848600E-2 " "
y[1] (numeric) = -4.88229960334170270E-2 " "
absolute error = 1.457167719820518000000000000000E-15 " "
relative error = 2.9845929955284030000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.57784429923005 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 242.61616508314023 " "
Order of pole (three term test) = -6398.190682795235 " "
Radius of convergence (six term test) for eq 1 = 374.3128694834693 " "
Order of pole (six term test) = 12933.719303305497 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1499999999999764 " "
y[1] (analytic) = -4.84229033597563400E-2 " "
y[1] (numeric) = -4.84229033597548900E-2 " "
absolute error = 1.4502288259166107000000000000000E-15 " "
relative error = 2.9949233220118676000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.57677901819434 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 241.89842183087134 " "
Order of pole (three term test) = -6379.399451711684 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.159999999999976 " "
y[1] (analytic) = -4.80259389031398360E-2 " "
y[1] (numeric) = -4.80259389031383650E-2 " "
absolute error = 1.4710455076283324000000000000000E-15 " "
relative error = 3.063022902259509000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.57571214615218 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 241.98559519141617 " "
Order of pole (three term test) = -6381.8707056905505 " "
Radius of convergence (six term test) for eq 1 = 970.8590718274742 " "
Order of pole (six term test) = 83767.29982735931 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.169999999999976 " "
y[1] (analytic) = -4.7632080022508194E-2 " "
y[1] (numeric) = -4.76320800225067200E-2 " "
absolute error = 1.4779844015322396000000000000000E-15 " "
relative error = 3.1029180351431823000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.574643662322682 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 241.59750222961205 " "
Order of pole (three term test) = -6371.785985989843 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1799999999999757 " "
y[1] (analytic) = -4.72413042176536700E-2 " "
y[1] (numeric) = -4.72413042176521800E-2 " "
absolute error = 1.4918621893400540000000000000000E-15 " "
relative error = 3.157961478935118000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.57357354875706 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 241.79250851869404 " "
Order of pole (three term test) = -6377.112841993162 " "
Radius of convergence (six term test) for eq 1 = 465.6999574550446 " "
Order of pole (six term test) = 19593.25727641955 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1899999999999755 " "
y[1] (analytic) = -4.685358912866003400E-2 " "
y[1] (numeric) = -4.685358912865853500E-2 " "
absolute error = 1.4988010832439613000000000000000E-15 " "
relative error = 3.1989034588753723000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.572501878382475 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 241.29774966795716 " "
Order of pole (three term test) = -6364.208414003794 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1999999999999753 " "
y[1] (analytic) = -4.646891253533843600E-2 " "
y[1] (numeric) = -4.64689125353369260E-2 " "
absolute error = 1.5057399771478686000000000000000E-15 " "
relative error = 3.2403167945942170000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.571428573796553 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 241.3097280615362 " "
Order of pole (three term test) = -6364.694572961915 " "
Radius of convergence (six term test) for eq 1 = 995.6055462202321 " "
Order of pole (six term test) = 87465.90995479569 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.209999999999975 " "
y[1] (analytic) = -4.608725235666051300E-2 " "
y[1] (numeric) = -4.60872523566590100E-2 " "
absolute error = 1.5057399771478686000000000000000E-15 " "
relative error = 3.2671506764934305000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.570353639613277 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 241.1963459430458 " "
Order of pole (three term test) = -6361.870439101686 " "
Radius of convergence (six term test) for eq 1 = 710.4099644741586 " "
Order of pole (six term test) = 44694.37880232687 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.219999999999975 " "
y[1] (analytic) = -4.57085866501890200E-2 " "
y[1] (numeric) = -4.570858665018750500E-2 " "
absolute error = 1.519617764955683000000000000000E-15 " "
relative error = 3.3245783261368870000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.569277108560648 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 240.8743724440408 " "
Order of pole (three term test) = -6353.532890993854 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2299999999999747 " "
y[1] (analytic) = -4.53328936115058870E-2 " "
y[1] (numeric) = -4.53328936115043660E-2 " "
absolute error = 1.519617764955683000000000000000E-15 " "
relative error = 3.3521305257469614000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.56819894184091 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 240.78469195808728 " "
Order of pole (three term test) = -6351.334005089011 " "
Radius of convergence (six term test) for eq 1 = 1504.1759790560372 " "
Order of pole (six term test) = 197903.24615816807 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2399999999999745 " "
y[1] (analytic) = -4.49601515736381130E-2 " "
y[1] (numeric) = -4.49601515736365800E-2 " "
absolute error = 1.5334955527634975000000000000000E-15 " "
relative error = 3.4107882182110916000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.56711915622536 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 240.47084725919538 " "
Order of pole (three term test) = -6343.211094666362 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2499999999999742 " "
y[1] (analytic) = -4.45903390064812600E-2 " "
y[1] (numeric) = -4.459033900647973000E-2 " "
absolute error = 1.5334955527634975000000000000000E-15 " "
relative error = 3.4390757884585760000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.566037739393575 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 240.30167106840915 " "
Order of pole (three term test) = -6338.911098305942 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.259999999999974 " "
y[1] (analytic) = -4.42234345162209330E-2 " "
y[1] (numeric) = -4.422343451621938400E-2 " "
absolute error = 1.547373340571312000000000000000E-15 " "
relative error = 3.498989523311997000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.56495468188558 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 240.43754140761015 " "
Order of pole (three term test) = -6342.672019182214 " "
Radius of convergence (six term test) for eq 1 = 786.9277560704411 " "
Order of pole (six term test) = 54238.94645913325 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.269999999999974 " "
y[1] (analytic) = -4.385941684475211400E-2 " "
y[1] (numeric) = -4.38594168447505600E-2 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 3.543850662622744000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.563869994144532 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 240.04109767365256 " "
Order of pole (three term test) = -6332.3665674120175 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2799999999999736 " "
y[1] (analytic) = -4.34982648690966500E-2 " "
y[1] (numeric) = -4.34982648690950900E-2 " "
absolute error = 1.5612511283791264000000000000000E-15 " "
relative error = 3.5892262210401815000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.562783662300994 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 240.18123998271895 " "
Order of pole (three term test) = -6336.240536213748 " "
Radius of convergence (six term test) for eq 1 = 573.2863019893298 " "
Order of pole (six term test) = 28921.32343707349 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2899999999999734 " "
y[1] (analytic) = -4.31399576008188570E-2 " "
y[1] (numeric) = -4.31399576008172900E-2 " "
absolute error = 1.5681900222830336000000000000000E-15 " "
relative error = 3.6351218441004385000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.56169567771797 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 239.89620274604724 " "
Order of pole (three term test) = -6328.875349196818 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.299999999999973 " "
y[1] (analytic) = -4.278447418543935300E-2 " "
y[1] (numeric) = -4.278447418543779000E-2 " "
absolute error = 1.5681900222830336000000000000000E-15 " "
relative error = 3.6653249856152925000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.56060605717845 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 239.7154233159503 " "
Order of pole (three term test) = -6324.271505743226 " "
Radius of convergence (six term test) for eq 1 = 1238.0664307112993 " "
Order of pole (six term test) = 132622.46164504747 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.309999999999973 " "
y[1] (analytic) = -4.2431793901847303E-2 " "
y[1] (numeric) = -4.24317939018457160E-2 " "
absolute error = 1.582067810090848000000000000000E-15 " "
relative error = 3.7284961690530166000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.559514777685315 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 239.64649039813366 " "
Order of pole (three term test) = -6322.62051188933 " "
Radius of convergence (six term test) for eq 1 = 847.078609237533 " "
Order of pole (six term test) = 62229.72274428043 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3199999999999728 " "
y[1] (analytic) = -4.208189616171098500E-2 " "
y[1] (numeric) = -4.208189616170940000E-2 " "
absolute error = 1.5890067039947553000000000000000E-15 " "
relative error = 3.775986466694777000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.558421861992223 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 239.35689917783495 " "
Order of pole (three term test) = -6315.135876988706 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3299999999999725 " "
y[1] (analytic) = -4.17347605088870300E-2 " "
y[1] (numeric) = -4.173476050888544000E-2 " "
absolute error = 1.5959455978986625000000000000000E-15 " "
relative error = 3.824020021772547300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.557327248758934 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 239.33403883154165 " "
Order of pole (three term test) = -6314.70702662881 " "
Radius of convergence (six term test) for eq 1 = 599.9572582184343 " "
Order of pole (six term test) = 31345.532897547706 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3399999999999723 " "
y[1] (analytic) = -4.13903666188281600E-2 " "
y[1] (numeric) = -4.13903666188265600E-2 " "
absolute error = 1.6028844918025698000000000000000E-15 " "
relative error = 3.8726027883827197000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.55623101052185 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 239.2250505769549 " "
Order of pole (three term test) = -6311.9927148235465 " "
Radius of convergence (six term test) for eq 1 = 891.4733201653669 " "
Order of pole (six term test) = 68542.08495635849 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.349999999999972 " "
y[1] (analytic) = -4.10486942979896300E-2 " "
y[1] (numeric) = -4.10486942979880250E-2 " "
absolute error = 1.6028844918025698000000000000000E-15 " "
relative error = 3.9048367291942615000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.555133068120963 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 239.10824325075927 " "
Order of pole (three term test) = -6309.0793633463445 " "
Radius of convergence (six term test) for eq 1 = 581.9246887086182 " "
Order of pole (six term test) = 29422.432847912252 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.359999999999972 " "
y[1] (analytic) = -4.07097234832345400E-2 " "
y[1] (numeric) = -4.07097234832329300E-2 " "
absolute error = 1.609823385706477000000000000000E-15 " "
relative error = 3.954395284383225000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.55403346916003 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 238.6884898076021 " "
Order of pole (three term test) = -6298.15977532534 " "
Radius of convergence (six term test) for eq 1 = 876.6387137700488 " "
Order of pole (six term test) = 66012.29225864098 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3699999999999717 " "
y[1] (analytic) = -4.03734342412379150E-2 " "
y[1] (numeric) = -4.037343424123629500E-2 " "
absolute error = 1.6237011735142914000000000000000E-15 " "
relative error = 4.021706857564828000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.55293221179405 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 238.6879696298201 " "
Order of pole (three term test) = -6298.313784996664 " "
Radius of convergence (six term test) for eq 1 = 703.7806393539571 " "
Order of pole (six term test) = 42664.18755716744 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3799999999999715 " "
y[1] (analytic) = -4.00398067678897740E-2 " "
y[1] (numeric) = -4.003980676788815000E-2 " "
absolute error = 1.6306400674181987000000000000000E-15 " "
relative error = 4.0725472949232680000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.55182926571731 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 238.34743192039943 " "
Order of pole (three term test) = -6289.483855888784 " "
Radius of convergence (six term test) for eq 1 = 2990.98612242256 " "
Order of pole (six term test) = 761170.0205469603 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3899999999999713 " "
y[1] (analytic) = -3.97088213876972400E-2 " "
y[1] (numeric) = -3.9708821387695603E-2 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 4.123967682983075000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.550724638612994 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 238.54128669862163 " "
Order of pole (three term test) = -6294.776174969671 " "
Radius of convergence (six term test) for eq 1 = 590.1340257490052 " "
Order of pole (six term test) = 30049.890607335346 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.399999999999971 " "
y[1] (analytic) = -3.93804585531857200E-2 " "
y[1] (numeric) = -3.938045855318407000E-2 " "
absolute error = 1.6445178552260130000000000000000E-15 " "
relative error = 4.17597436811202000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.5496183153281 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 238.20525034276397 " "
Order of pole (three term test) = -6286.066727517703 " "
Radius of convergence (six term test) for eq 1 = 966.1799556326743 " "
Order of pole (six term test) = 79585.1693797421 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.409999999999971 " "
y[1] (analytic) = -3.90546988442993070E-2 " "
y[1] (numeric) = -3.90546988442976600E-2 " "
absolute error = 1.6514567491299204000000000000000E-15 " "
relative error = 4.228573764488209300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.548510316109187 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 237.92440121382813 " "
Order of pole (three term test) = -6278.81216916069 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4199999999999706 " "
y[1] (analytic) = -3.87315229678004100E-2 " "
y[1] (numeric) = -3.87315229677987500E-2 " "
absolute error = 1.6583956430338276000000000000000E-15 " "
relative error = 4.281772354814296000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.547400621680346 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 237.69176547612685 " "
Order of pole (three term test) = -6272.832428030606 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4299999999999704 " "
y[1] (analytic) = -3.8410911756668700E-2 " "
y[1] (numeric) = -3.841091175666703000E-2 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 4.335576691039124700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.546289203241518 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 237.5413450193703 " "
Order of pole (three term test) = -6269.031065955061 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.43999999999997 " "
y[1] (analytic) = -3.809284616949954500E-2 " "
y[1] (numeric) = -3.80928461694978700E-2 " "
absolute error = 1.6792123247455493000000000000000E-15 " "
relative error = 4.408209135315473000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.54517611915652 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 237.2990187186576 " "
Order of pole (three term test) = -6262.793471265011 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.44999999999997 " "
y[1] (analytic) = -3.77773072899017960E-2 " "
y[1] (numeric) = -3.777730728990011400E-2 " "
absolute error = 1.6792123247455493000000000000000E-15 " "
relative error = 4.4450291595939595000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.544061311196792 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 237.27935826411664 " "
Order of pole (three term test) = -6262.446480590072 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4599999999999698 " "
y[1] (analytic) = -3.746427632589524600E-2 " "
y[1] (numeric) = -3.74642763258935600E-2 " "
absolute error = 1.6861512186494565000000000000000E-15 " "
relative error = 4.5006907486532480000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.54294478063783 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 236.87205887332763 " "
Order of pole (three term test) = -6251.85297084726 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4699999999999696 " "
y[1] (analytic) = -3.71537346093076200E-2 " "
y[1] (numeric) = -3.71537346093059200E-2 " "
absolute error = 1.700029006457271000000000000000E-15 " "
relative error = 4.575661166593427000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.541826547138328 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 236.7481370302944 " "
Order of pole (three term test) = -6248.750298779278 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4799999999999693 " "
y[1] (analytic) = -3.68456635951712300E-2 " "
y[1] (numeric) = -3.684566359516952500E-2 " "
absolute error = 1.7069679003611782000000000000000E-15 " "
relative error = 4.632751140312975600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.540706609833773 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 236.48056718601504 " "
Order of pole (three term test) = -6241.845558563268 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.489999999999969 " "
y[1] (analytic) = -3.654004486111950000E-2 " "
y[1] (numeric) = -3.65400448611177800E-2 " "
absolute error = 1.7139067942650854000000000000000E-15 " "
relative error = 4.690489025887243400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.539584929010903 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 236.65285120446532 " "
Order of pole (three term test) = -6246.569702104662 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.499999999999969 " "
y[1] (analytic) = -3.62368601067831400E-2 " "
y[1] (numeric) = -3.62368601067814270E-2 " "
absolute error = 1.7139067942650854000000000000000E-15 " "
relative error = 4.7297331755966926000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.538461532537433 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 236.12469397736336 " "
Order of pole (three term test) = -6232.782131011281 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5099999999999687 " "
y[1] (analytic) = -3.59360911531863670E-2 " "
y[1] (numeric) = -3.59360911531846460E-2 " "
absolute error = 1.7208456881689926000000000000000E-15 " "
relative error = 4.7886279028886797000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.53733640940389 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 236.39306176312303 " "
Order of pole (three term test) = -6240.045517475833 " "
Radius of convergence (six term test) for eq 1 = 3970.9311510634207 " "
Order of pole (six term test) = 1312204.7617713087 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5199999999999685 " "
y[1] (analytic) = -3.563771994214290400E-2 " "
y[1] (numeric) = -3.563771994214117700E-2 " "
absolute error = 1.7277845820729000000000000000000E-15 " "
relative error = 4.8481905825566907000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.53620955816083 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 236.0481273626688 " "
Order of pole (three term test) = -6231.095051531520 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5299999999999683 " "
y[1] (analytic) = -3.53417285356520900E-2 " "
y[1] (numeric) = -3.534172853565034600E-2 " "
absolute error = 1.7416623698807143000000000000000E-15 " "
relative error = 4.9280622143983627000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.535080962925715 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 235.9091002191993 " "
Order of pole (three term test) = -6227.5925673168185 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.539999999999968 " "
y[1] (analytic) = -3.504809911529497300E-2 " "
y[1] (numeric) = -3.50480991152932300E-2 " "
absolute error = 1.7416623698807143000000000000000E-15 " "
relative error = 4.96934901990348950000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.533950617180736 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 235.9776421808564 " "
Order of pole (three term test) = -6229.578592370238 " "
Radius of convergence (six term test) for eq 1 = 760.309278929434 " "
Order of pole (six term test) = 48301.56609577973 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.549999999999968 " "
y[1] (analytic) = -3.47568139816306400E-2 " "
y[1] (numeric) = -3.475681398162889000E-2 " "
absolute error = 1.7486012637846216000000000000000E-15 " "
relative error = 5.030959583087151000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.53281853735587 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 235.88211954877139 " "
Order of pole (three term test) = -6227.224632442355 " "
Radius of convergence (six term test) for eq 1 = 639.1318797430647 " "
Order of pole (six term test) = 34209.17188210063 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5599999999999676 " "
y[1] (analytic) = -3.44678555535925600E-2 " "
y[1] (numeric) = -3.4467855553590800E-2 " "
absolute error = 1.762479051592436000000000000000E-15 " "
relative error = 5.113399204229676000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.531684709931298 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 235.0895770148485 " "
Order of pole (three term test) = -6206.436968305876 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5699999999999674 " "
y[1] (analytic) = -3.418120636788525300E-2 " "
y[1] (numeric) = -3.41812063678834930E-2 " "
absolute error = 1.762479051592436000000000000000E-15 " "
relative error = 5.156281006068769000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.530549111460406 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 234.91366595296935 " "
Order of pole (three term test) = -6201.958281677358 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.579999999999967 " "
y[1] (analytic) = -3.3896849078381300E-2 " "
y[1] (numeric) = -3.38968490783795300E-2 " "
absolute error = 1.7694179454963432000000000000000E-15 " "
relative error = 5.220007149941381000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.529411768431707 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 235.1450589019749 " "
Order of pole (three term test) = -6208.249642856622 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.589999999999967 " "
y[1] (analytic) = -3.36147664555185600E-2 " "
y[1] (numeric) = -3.36147664555167800E-2 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.284453907335194000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.52827265911692 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 235.09750198716154 " "
Order of pole (three term test) = -6207.163301156707 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.599999999999967 " "
y[1] (analytic) = -3.333494138569786000E-2 " "
y[1] (numeric) = -3.33349413856960700E-2 " "
absolute error = 1.7832957333041577000000000000000E-15 " "
relative error = 5.349629125399541000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.527131784755365 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 235.04345361268182 " "
Order of pole (three term test) = -6205.905824355023 " "
Radius of convergence (six term test) for eq 1 = 1139.7487416909821 " "
Order of pole (six term test) = 106937.9993891476 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6099999999999666 " "
y[1] (analytic) = -3.30573568706811260E-2 " "
y[1] (numeric) = -3.305735687067934400E-2 " "
absolute error = 1.7832957333041577000000000000000E-15 " "
relative error = 5.3945502669203990000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.5259891354943 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 234.92714750116792 " "
Order of pole (three term test) = -6203.0033405905015 " "
Radius of convergence (six term test) for eq 1 = 771.6293173654317 " "
Order of pole (six term test) = 49174.004621662396 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6199999999999664 " "
y[1] (analytic) = -3.27819960269900500E-2 " "
y[1] (numeric) = -3.27819960269882700E-2 " "
absolute error = 1.7832957333041577000000000000000E-15 " "
relative error = 5.4398631853775350000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.524844705863387 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 234.79441368992394 " "
Order of pole (three term test) = -6199.668214828864 " "
Radius of convergence (six term test) for eq 1 = 656.232083177538 " "
Order of pole (six term test) = 35609.01042127224 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.629999999999966 " "
y[1] (analytic) = -3.25088420853051900E-2 " "
y[1] (numeric) = -3.25088420853033900E-2 " "
absolute error = 1.797173521111972100000000000000E-15 " "
relative error = 5.528260638739697000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.523698522409905 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 234.48563221908856 " "
Order of pole (three term test) = -6191.670552447678 " "
Radius of convergence (six term test) for eq 1 = 1846.4209945378177 " "
Order of pole (six term test) = 278583.2334104569 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.639999999999966 " "
y[1] (analytic) = -3.22378783898657430E-2 " "
y[1] (numeric) = -3.223787838986394400E-2 " "
absolute error = 1.797173521111972100000000000000E-15 " "
relative error = 5.574726411515124000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.522550535746777 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 234.25898577653268 " "
Order of pole (three term test) = -6185.849755537869 " "
Radius of convergence (six term test) for eq 1 = 5563.84408086066 " "
Order of pole (six term test) = 2521460.2641546824 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6499999999999657 " "
y[1] (analytic) = -3.196908839786999400E-2 " "
y[1] (numeric) = -3.19690883978681900E-2 " "
absolute error = 1.8041124150158794000000000000000E-15 " "
relative error = 5.6433026571257560000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.52140078253575 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 234.02968218350935 " "
Order of pole (three term test) = -6179.9575102924 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6599999999999655 " "
y[1] (analytic) = -3.17024556788763700E-2 " "
y[1] (numeric) = -3.170245567887456400E-2 " "
absolute error = 1.8041124150158794000000000000000E-15 " "
relative error = 5.6907655144770870000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.520249214170043 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 233.9264252332522 " "
Order of pole (three term test) = -6177.3985159807025 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6699999999999653 " "
y[1] (analytic) = -3.14379639142052860E-2 " "
y[1] (numeric) = -3.143796391420347600E-2 " "
absolute error = 1.8110513089197866000000000000000E-15 " "
relative error = 5.760714382973957000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.51909587476729 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 233.8558891752399 " "
Order of pole (three term test) = -6175.704133943890 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.679999999999965 " "
y[1] (analytic) = -3.11755968963417500E-2 " "
y[1] (numeric) = -3.117559689633993000E-2 " "
absolute error = 1.817990202823693800000000000000E-15 " "
relative error = 5.831452750907948000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.517940716247693 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 233.6775937894087 " "
Order of pole (three term test) = -6171.161238247864 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.689999999999965 " "
y[1] (analytic) = -3.09153385283387870E-2 " "
y[1] (numeric) = -3.091533852833696600E-2 " "
absolute error = 1.824929096727601000000000000000E-15 " "
relative error = 5.902989207298395000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.51678376318723 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 233.31886178129434 " "
Order of pole (three term test) = -6161.846388853696 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6999999999999647 " "
y[1] (analytic) = -3.065717282322175700E-2 " "
y[1] (numeric) = -3.065717282321992500E-2 " "
absolute error = 1.8318679906315083000000000000000E-15 " "
relative error = 5.97533243262383000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.515625006736357 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 233.32419307983156 " "
Order of pole (three term test) = -6162.159034030808 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7099999999999644 " "
y[1] (analytic) = -3.040108390339353000E-2 " "
y[1] (numeric) = -3.040108390339168500E-2 " "
absolute error = 1.8388068845354155000000000000000E-15 " "
relative error = 6.04849119978303900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.51446441491415 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 233.40254086038692 " "
Order of pole (three term test) = -6164.405572656012 " "
Radius of convergence (six term test) for eq 1 = 702.6862200569335 " "
Order of pole (six term test) = 40188.61039866625 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7199999999999642 " "
y[1] (analytic) = -3.014705600004065600E-2 " "
y[1] (numeric) = -3.014705600003881300E-2 " "
absolute error = 1.842276331487369000000000000000E-15 " "
relative error = 6.110965964586673000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.51330201855477 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 232.9673151124811 " "
Order of pole (three term test) = -6153.068868683098 " "
Radius of convergence (six term test) for eq 1 = 1016.3288287463766 " "
Order of pole (six term test) = 83418.28520850842 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.729999999999964 " "
y[1] (analytic) = -2.989507345254054000E-2 " "
y[1] (numeric) = -2.989507345253869000E-2 " "
absolute error = 1.8492152253912764000000000000000E-15 " "
relative error = 6.185685505429414000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.5121378359635 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 232.72654391984116 " "
Order of pole (three term test) = -6146.86881447003 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.739999999999964 " "
y[1] (analytic) = -2.964512070786955000E-2 " "
y[1] (numeric) = -2.96451207078676900E-2 " "
absolute error = 1.8596235662471372000000000000000E-15 " "
relative error = 6.2729498880181120000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.510971778240535 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 232.72631661650266 " "
Order of pole (three term test) = -6147.0373260500355 " "
Radius of convergence (six term test) for eq 1 = 909.657411078032 " "
Order of pole (six term test) = 66725.32769273143 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7499999999999636 " "
y[1] (analytic) = -2.93971823200122900E-2 " "
y[1] (numeric) = -2.939718232001042300E-2 " "
absolute error = 1.863093013199090800000000000000E-15 " "
relative error = 6.337658463038414000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.509803912541255 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 232.88827188884449 " "
Order of pole (three term test) = -6151.494684337702 " "
Radius of convergence (six term test) for eq 1 = 614.862245575967 " "
Order of pole (six term test) = 30662.426816565916 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7599999999999634 " "
y[1] (analytic) = -2.915124294937194700E-2 " "
y[1] (numeric) = -2.91512429493700800E-2 " "
absolute error = 1.8665624601510444000000000000000E-15 " "
relative error = 6.403028726400357000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.508634234844315 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 232.10195072349248 " "
Order of pole (three term test) = -6130.862073373873 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.769999999999963 " "
y[1] (analytic) = -2.89072873621817600E-2 " "
y[1] (numeric) = -2.89072873621798900E-2 " "
absolute error = 1.870031907102998000000000000000E-15 " "
relative error = 6.469067414293206000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.507462679087528 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 232.0730588964488 " "
Order of pole (three term test) = -6130.272843520024 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.779999999999963 " "
y[1] (analytic) = -2.866530042991767300E-2 " "
y[1] (numeric) = -2.866530042991579700E-2 " "
absolute error = 1.8769708010069053000000000000000E-15 " "
relative error = 6.547884630045359000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.506289311209184 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 231.8414895492746 " "
Order of pole (three term test) = -6124.316985066685 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7899999999999627 " "
y[1] (analytic) = -2.8425267128712200E-2 " "
y[1] (numeric) = -2.842526712871031300E-2 " "
absolute error = 1.887379141862766000000000000000E-15 " "
relative error = 6.6397938612732870000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.505114073636 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 232.02102599601875 " "
Order of pole (three term test) = -6129.245669037598 " "
Radius of convergence (six term test) for eq 1 = 655.1527253700908 " "
Order of pole (six term test) = 34526.31229287873 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7999999999999625 " "
y[1] (analytic) = -2.818717253876954500E-2 " "
y[1] (numeric) = -2.818717253876765000E-2 " "
absolute error = 1.8943180357666733000000000000000E-15 " "
relative error = 6.720496825856397000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.503937019306637 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 231.85834853725504 " "
Order of pole (three term test) = -6125.109760596208 " "
Radius of convergence (six term test) for eq 1 = 1334.24238178353 " "
Order of pole (six term test) = 141763.25564225903 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8099999999999623 " "
y[1] (analytic) = -2.795100184378197500E-2 " "
y[1] (numeric) = -2.795100184378009000E-2 " "
absolute error = 1.8908485888147197000000000000000E-15 " "
relative error = 6.764868749187108000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.502758083114838 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 231.2852150982147 " "
Order of pole (three term test) = -6110.118085416330 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.819999999999962 " "
y[1] (analytic) = -2.77167403303475670E-2 " "
y[1] (numeric) = -2.77167403303456700E-2 " "
absolute error = 1.897787482718627000000000000000E-15 " "
relative error = 6.847080356850999000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.50157730479443 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 231.32554880221358 " "
Order of pole (three term test) = -6111.357903887703 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.829999999999962 " "
y[1] (analytic) = -2.748437338738917700E-2 " "
y[1] (numeric) = -2.748437338738727300E-2 " "
absolute error = 1.9012569296705806000000000000000E-15 " "
relative error = 6.917592418326503000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.500394632984257 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 230.82986840538814 " "
Order of pole (three term test) = -6098.417879365165 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8399999999999617 " "
y[1] (analytic) = -2.725388650557490400E-2 " "
y[1] (numeric) = -2.72538865055729900E-2 " "
absolute error = 1.9116652705264414000000000000000E-15 " "
relative error = 7.014284990639416000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.499210111073918 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 231.0590604856889 " "
Order of pole (three term test) = -6104.656139845256 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8499999999999615 " "
y[1] (analytic) = -2.702526527673988500E-2 " "
y[1] (numeric) = -2.702526527673797500E-2 " "
absolute error = 1.915134717478395000000000000000E-15 " "
relative error = 7.086460383893859000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.49802372065399 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 230.77537164615217 " "
Order of pole (three term test) = -6097.324117240205 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8599999999999612 " "
y[1] (analytic) = -2.679849539330957400E-2 " "
y[1] (numeric) = -2.67984953933076600E-2 " "
absolute error = 1.915134717478395000000000000000E-15 " "
relative error = 7.146426280172884000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.49683544708082 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 230.77217422541847 " "
Order of pole (three term test) = -6097.413736206735 " "
Radius of convergence (six term test) for eq 1 = 1034.6664305235893 " "
Order of pole (six term test) = 84557.63152637008 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.869999999999961 " "
y[1] (analytic) = -2.657356264772443000E-2 " "
y[1] (numeric) = -2.657356264772250400E-2 " "
absolute error = 1.9220736113823023000000000000000E-15 " "
relative error = 7.233029446832169000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.495645296876774 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 230.3287319192217 " "
Order of pole (three term test) = -6085.848143484828 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.879999999999961 " "
y[1] (analytic) = -2.635045293186610300E-2 " "
y[1] (numeric) = -2.635045293186417700E-2 " "
absolute error = 1.9290125052862095000000000000000E-15 " "
relative error = 7.320604735994568000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.494453249401204 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 230.27396997304487 " "
Order of pole (three term test) = -6084.5756883219665 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8899999999999606 " "
y[1] (analytic) = -2.612915223648520000E-2 " "
y[1] (numeric) = -2.612915223648326000E-2 " "
absolute error = 1.932481952238163000000000000000E-15 " "
relative error = 7.395884622463029000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.493259312667906 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 230.48013798793625 " "
Order of pole (three term test) = -6090.20670464295 " "
Radius of convergence (six term test) for eq 1 = 732.5153230711113 " "
Order of pole (six term test) = 42389.1955698922 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8999999999999604 " "
y[1] (analytic) = -2.590964665063048600E-2 " "
y[1] (numeric) = -2.59096466506285500E-2 " "
absolute error = 1.9359513991901167000000000000000E-15 " "
relative error = 7.471932849161443000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.4920634931808 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 230.01911246084364 " "
Order of pole (three term test) = -6078.176316694202 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.90999999999996 " "
y[1] (analytic) = -2.569192236107977000E-2 " "
y[1] (numeric) = -2.569192236107783500E-2 " "
absolute error = 1.9394208461420703000000000000000E-15 " "
relative error = 7.548757227602648000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.49086576130281 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 229.9544242737738 " "
Order of pole (three term test) = -6076.642102550750 " "
Radius of convergence (six term test) for eq 1 = 1133.0792474185423 " "
Order of pole (six term test) = 100521.4704605676 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.91999999999996 " "
y[1] (analytic) = -2.547596565177231400E-2 " "
y[1] (numeric) = -2.547596565177036000E-2 " "
absolute error = 1.949829186997931200000000000000E-15 " "
relative error = 7.6536026686874000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.489666123322767 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 229.60650392725347 " "
Order of pole (three term test) = -6067.606316666454 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9299999999999597 " "
y[1] (analytic) = -2.526176290324283000E-2 " "
y[1] (numeric) = -2.526176290324088000E-2 " "
absolute error = 1.949829186997931200000000000000E-15 " "
relative error = 7.71850006852702000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.488464606795745 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 229.73013851142997 " "
Order of pole (three term test) = -6071.04961803683 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9399999999999595 " "
y[1] (analytic) = -2.504930059205724400E-2 " "
y[1] (numeric) = -2.504930059205528500E-2 " "
absolute error = 1.9567680809018384000000000000000E-15 " "
relative error = 7.811667530239547000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.4872611532917 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 229.56067207637497 " "
Order of pole (three term test) = -6066.738185205498 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9499999999999593 " "
y[1] (analytic) = -2.483856529024998600E-2 " "
y[1] (numeric) = -2.48385652902480300E-2 " "
absolute error = 1.9567680809018384000000000000000E-15 " "
relative error = 7.877943262970745000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.486055767904155 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 229.4110076163977 " "
Order of pole (three term test) = -6062.956609935457 " "
Radius of convergence (six term test) for eq 1 = 765.3747844495447 " "
Order of pole (six term test) = 45795.33084292838 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.959999999999959 " "
y[1] (analytic) = -2.462954366476308400E-2 " "
y[1] (numeric) = -2.462954366476112500E-2 " "
absolute error = 1.960237527853792000000000000000E-15 " "
relative error = 7.958886914572673000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.48484847686514 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 229.0672794251482 " "
Order of pole (three term test) = -6054.030956102486 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.969999999999959 " "
y[1] (analytic) = -2.442222247688688000E-2 " "
y[1] (numeric) = -2.44222224768849100E-2 " "
absolute error = 1.9671764217576992000000000000000E-15 " "
relative error = 8.054862425479211000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.483639269820124 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 228.99129914621165 " "
Order of pole (three term test) = -6052.1913079965425 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9799999999999587 " "
y[1] (analytic) = -2.42165885817025200E-2 " "
y[1] (numeric) = -2.42165885817005500E-2 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 8.137586605400836000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.48242811907151 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 228.85865147733693 " "
Order of pole (three term test) = -6048.8554591377715 " "
Radius of convergence (six term test) for eq 1 = 4958.2167245571245 " "
Order of pole (six term test) = 1897454.0755435477 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9899999999999585 " "
y[1] (analytic) = -2.401262892752622800E-2 " "
y[1] (numeric) = -2.40126289275242500E-2 " "
absolute error = 1.97758476261356000000000000000E-15 " "
relative error = 8.235602892886956000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.481215042130376 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 228.58349424374524 " "
Order of pole (three term test) = -6041.743875979073 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9999999999999583 " "
y[1] (analytic) = -2.381033055535527700E-2 " "
y[1] (numeric) = -2.381033055535329600E-2 " "
absolute error = 1.9810542095655137000000000000000E-15 " "
relative error = 8.320145765972774000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.4800000088364 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 228.22720050384083 " "
Order of pole (three term test) = -6032.485295134232 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.009999999999958 " "
y[1] (analytic) = -2.360968059831583500E-2 " "
y[1] (numeric) = -2.36096805983138500E-2 " "
absolute error = 1.9845236565174673000000000000000E-15 " "
relative error = 8.405550631036621000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.478783035858896 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 228.50785475586486 " "
Order of pole (three term test) = -6040.091202593594 " "
Radius of convergence (six term test) for eq 1 = 1712.1613397929552 " "
Order of pole (six term test) = 225639.11022406616 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.019999999999958 " "
y[1] (analytic) = -2.341066628111256300E-2 " "
y[1] (numeric) = -2.341066628111057300E-2 " "
absolute error = 1.9914625504213745000000000000000E-15 " "
relative error = 8.506646186435376000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.477564099753724 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 228.13254079545527 " "
Order of pole (three term test) = -6030.331181184085 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.029999999999958 " "
y[1] (analytic) = -2.32132749194800700E-2 " "
y[1] (numeric) = -2.321327491947807700E-2 " "
absolute error = 1.994931997373328200000000000000E-15 " "
relative error = 8.593927415641062000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.47634322596103 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 227.79852887637824 " "
Order of pole (three term test) = -6021.663240272583 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.039999999999957 " "
y[1] (analytic) = -2.30174939196362300E-2 " "
y[1] (numeric) = -2.30174939196342300E-2 " "
absolute error = 2.0018708912772354000000000000000E-15 " "
relative error = 8.69717137003103000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.47512038222949 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 227.66531107151337 " "
Order of pole (three term test) = -6018.312086719003 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.049999999999957 " "
y[1] (analytic) = -2.282331077773733200E-2 " "
y[1] (numeric) = -2.282331077773532300E-2 " "
absolute error = 2.0088097851811426000000000000000E-15 " "
relative error = 8.801570485297895000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.473895576821064 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 227.70409839619538 " "
Order of pole (three term test) = -6019.515074761756 " "
Radius of convergence (six term test) for eq 1 = 1080.6330839148636 " "
Order of pole (six term test) = 89509.11863357102 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.059999999999957 " "
y[1] (analytic) = -2.263071307933513500E-2 " "
y[1] (numeric) = -2.263071307933312600E-2 " "
absolute error = 2.0088097851811426000000000000000E-15 " "
relative error = 8.876475867724444000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.472668799237216 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 227.538077139741 " "
Order of pole (three term test) = -6015.2925786665965 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.069999999999957 " "
y[1] (analytic) = -2.24396884988358500E-2 " "
y[1] (numeric) = -2.243968849883383700E-2 " "
absolute error = 2.0122792321330962000000000000000E-15 " "
relative error = 8.967500739760677000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.471440060801637 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 227.28911833642533 " "
Order of pole (three term test) = -6008.87635965997 " "
Radius of convergence (six term test) for eq 1 = 10876.074252127915 " "
Order of pole (six term test) = 9001422.334709305 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.0799999999999566 " "
y[1] (analytic) = -2.225022479896096600E-2 " "
y[1] (numeric) = -2.225022479895895400E-2 " "
absolute error = 2.0122792321330962000000000000000E-15 " "
relative error = 9.043860232041634000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.470209332765602 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 227.49578737047656 " "
Order of pole (three term test) = -6014.523047405674 " "
Radius of convergence (six term test) for eq 1 = 791.0853661997154 " "
Order of pole (six term test) = 47945.733176073954 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.089999999999956 " "
y[1] (analytic) = -2.20623098302100920E-2 " "
y[1] (numeric) = -2.20623098302080700E-2 " "
absolute error = 2.0192181260370035000000000000000E-15 " "
relative error = 9.152342350265033000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.468976643478868 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 227.11696046969868 " "
Order of pole (three term test) = -6004.665477302330 " "
Radius of convergence (six term test) for eq 1 = 8352.126664097192 " "
Order of pole (six term test) = 5294756.904832807 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.099999999999956 " "
y[1] (analytic) = -2.187593153032566200E-2 " "
y[1] (numeric) = -2.18759315303236400E-2 " "
absolute error = 2.022687572988957000000000000000E-15 " "
relative error = 9.246178020739333000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.467741946479457 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 226.83032742917814 " "
Order of pole (three term test) = -5997.249480166473 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.109999999999956 " "
y[1] (analytic) = -2.169107792375969700E-2 " "
y[1] (numeric) = -2.16910779237576700E-2 " "
absolute error = 2.0261570199409107000000000000000E-15 " "
relative error = 9.340969716039443000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.466505249529348 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 226.80542119088375 " "
Order of pole (three term test) = -5996.767061357630 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.119999999999956 " "
y[1] (analytic) = -2.15077371211424400E-2 " "
y[1] (numeric) = -2.150773712114041300E-2 " "
absolute error = 2.0261570199409107000000000000000E-15 " "
relative error = 9.42059598612616000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.465266565468983 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 226.56262427544536 " "
Order of pole (three term test) = -5990.514459469426 " "
Radius of convergence (six term test) for eq 1 = 1428.3167179064058 " "
Order of pole (six term test) = 154453.15506935518 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.1299999999999555 " "
y[1] (analytic) = -2.132589731875306500E-2 " "
y[1] (numeric) = -2.132589731875103300E-2 " "
absolute error = 2.033095913844818000000000000000E-15 " "
relative error = 9.533460109352594000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.464025859735703 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 226.5132128600401 " "
Order of pole (three term test) = -5989.381892995964 " "
Radius of convergence (six term test) for eq 1 = 957.4758642441566 " "
Order of pole (six term test) = 69511.70128701908 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.139999999999955 " "
y[1] (analytic) = -2.11455467979923300E-2 " "
y[1] (numeric) = -2.114554679799029400E-2 " "
absolute error = 2.0365653607967715000000000000000E-15 " "
relative error = 9.6311785183541990000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.462783167581556 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 226.33960421364958 " "
Order of pole (three term test) = -5984.959970726222 " "
Radius of convergence (six term test) for eq 1 = 1053.251667857157 " "
Order of pole (six term test) = 83899.38076047027 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.149999999999955 " "
y[1] (analytic) = -2.096667392485727600E-2 " "
y[1] (numeric) = -2.096667392485523400E-2 " "
absolute error = 2.0435042547006788000000000000000E-15 " "
relative error = 9.746439812172495000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.461538456778754 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 225.892123320202 " "
Order of pole (three term test) = -5973.283876203303 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.159999999999955 " "
y[1] (analytic) = -2.078926714941793400E-2 " "
y[1] (numeric) = -2.078926714941588500E-2 " "
absolute error = 2.0469737016526324000000000000000E-15 " "
relative error = 9.846300434452517000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.460291727206837 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 225.80570002333204 " "
Order of pole (three term test) = -5971.169985722551 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.169999999999955 " "
y[1] (analytic) = -2.061331500529608700E-2 " "
y[1] (numeric) = -2.06133150052940400E-2 " "
absolute error = 2.0469737016526324000000000000000E-15 " "
relative error = 9.930346968096654000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.459042984332232 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 225.79385903326164 " "
Order of pole (three term test) = -5971.033191313166 " "
Radius of convergence (six term test) for eq 1 = 1895.389053642603 " "
Order of pole (six term test) = 269608.0986096423 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.179999999999954 " "
y[1] (analytic) = -2.04388061091460820E-2 " "
y[1] (numeric) = -2.043880610914402800E-2 " "
absolute error = 2.0539125955565396000000000000000E-15 " "
relative error = 1.004908302661299800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.45779220066564 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 225.8405231815075 " "
Order of pole (three term test) = -5972.445580466729 " "
Radius of convergence (six term test) for eq 1 = 772.5290997910702 " "
Order of pole (six term test) = 45033.87739651474 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.189999999999954 " "
y[1] (analytic) = -2.02657291601376600E-2 " "
y[1] (numeric) = -2.0265729160135598E-2 " "
absolute error = 2.060851489460446800000000000000E-15 " "
relative error = 1.016914552235360100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.456539395776982 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 225.51570723475626 " "
Order of pole (three term test) = -5964.01842432855 " "
Radius of convergence (six term test) for eq 1 = 998.7354500093428 " "
Order of pole (six term test) = 74897.11776442442 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.199999999999954 " "
y[1] (analytic) = -2.009407293944091600E-2 " "
y[1] (numeric) = -2.009407293943885300E-2 " "
absolute error = 2.060851489460446800000000000000E-15 " "
relative error = 1.025601676509982200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.455284555178146 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 225.15477064502048 " "
Order of pole (three term test) = -5954.6324371696155 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.209999999999954 " "
y[1] (analytic) = -1.99238263097133100E-2 " "
y[1] (numeric) = -1.99238263097112480E-2 " "
absolute error = 2.060851489460446800000000000000E-15 " "
relative error = 1.034365315891022400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.454027666734262 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 225.3155843344554 " "
Order of pole (three term test) = -5959.065927744062 " "
Radius of convergence (six term test) for eq 1 = 3358.9975939123597 " "
Order of pole (six term test) = 841318.9760972634 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.219999999999954 " "
y[1] (analytic) = -1.975497821458877300E-2 " "
y[1] (numeric) = -1.975497821458670500E-2 " "
absolute error = 2.067790383364354000000000000000E-15 " "
relative error = 1.046718635122219500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.45276872973758 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 224.75045808786243 " "
Order of pole (three term test) = -5944.273884490517 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.229999999999953 " "
y[1] (analytic) = -1.958751767816888600E-2 " "
y[1] (numeric) = -1.958751767816681600E-2 " "
absolute error = 2.0712598303163077000000000000000E-15 " "
relative error = 1.057438652690950200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.451507745492272 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 224.87255637538365 " "
Order of pole (three term test) = -5947.6824310364955 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.239999999999953 " "
y[1] (analytic) = -1.94214338045162300E-2 " "
y[1] (numeric) = -1.94214338045141520E-2 " "
absolute error = 2.078198724220215000000000000000E-15 " "
relative error = 1.070054222122855700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.450244705293425 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 224.5564404802857 " "
Order of pole (three term test) = -5939.483779274998 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.249999999999953 " "
y[1] (analytic) = -1.92567157771497700E-2 " "
y[1] (numeric) = -1.925671577714768700E-2 " "
absolute error = 2.0816681711721685000000000000000E-15 " "
relative error = 1.081008929696256300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.44897959991406 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 224.582153797306 " "
Order of pole (three term test) = -5940.34288086843 " "
Radius of convergence (six term test) for eq 1 = 2075.75669513235 " "
Order of pole (six term test) = 319568.4182204853 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.259999999999953 " "
y[1] (analytic) = -1.90933528585424400E-2 " "
y[1] (numeric) = -1.909335285854035800E-2 " "
absolute error = 2.0816681711721685000000000000000E-15 " "
relative error = 1.090258052943709200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.44771240857183 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 224.6522624545312 " "
Order of pole (three term test) = -5942.378475693153 " "
Radius of convergence (six term test) for eq 1 = 813.4846519300315 " "
Order of pole (six term test) = 49307.64686494985 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.2699999999999525 " "
y[1] (analytic) = -1.893133438962082700E-2 " "
y[1] (numeric) = -1.89313343896187420E-2 " "
absolute error = 2.085137618124122000000000000000E-15 " "
relative error = 1.101421365874402600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.446443181824144 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 224.20373659522787 " "
Order of pole (three term test) = -5930.668688616679 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.279999999999952 " "
y[1] (analytic) = -1.87706497892669720E-2 " "
y[1] (numeric) = -1.877064978926488200E-2 " "
absolute error = 2.0886070650760757000000000000000E-15 " "
relative error = 1.112698328786858500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.445171855335797 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 223.80485199243776 " "
Order of pole (three term test) = -5920.275969082271 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.289999999999952 " "
y[1] (analytic) = -1.86112885538223580E-2 " "
y[1] (numeric) = -1.861128855382026500E-2 " "
absolute error = 2.095545958979983000000000000000E-15 " "
relative error = 1.125954257772013700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.44389844113525 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 223.80055001064122 " "
Order of pole (three term test) = -5920.341307805093 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.299999999999952 " "
y[1] (analytic) = -1.845324025659402800E-2 " "
y[1] (numeric) = -1.845324025659192700E-2 " "
absolute error = 2.0990154059319366000000000000000E-15 " "
relative error = 1.137477958745960900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.442622945405898 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 223.40943251801508 " "
Order of pole (three term test) = -5910.156240111967 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.309999999999952 " "
y[1] (analytic) = -1.829649454736286300E-2 " "
y[1] (numeric) = -1.829649454736076400E-2 " "
absolute error = 2.0990154059319366000000000000000E-15 " "
relative error = 1.14722271006523200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.441345362958366 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 223.69279798780528 " "
Order of pole (three term test) = -5917.840044649019 " "
Radius of convergence (six term test) for eq 1 = 1169.2570551152419 " "
Order of pole (six term test) = 100752.17561766793 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.319999999999951 " "
y[1] (analytic) = -1.814104115189405500E-2 " "
y[1] (numeric) = -1.814104115189195400E-2 " "
absolute error = 2.1024848528838902000000000000000E-15 " "
relative error = 1.158965924436137200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.440065676203144 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 223.30961128565576 " "
Order of pole (three term test) = -5907.861449734697 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.329999999999951 " "
y[1] (analytic) = -1.798686987144969300E-2 " "
y[1] (numeric) = -1.798686987144758300E-2 " "
absolute error = 2.1094237467877974000000000000000E-15 " "
relative error = 1.172757551404792300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.43878390316678 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 223.2077059170295 " "
Order of pole (three term test) = -5905.339017932096 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.339999999999951 " "
y[1] (analytic) = -1.783397058230356800E-2 " "
y[1] (numeric) = -1.783397058230145600E-2 " "
absolute error = 2.112893193739751000000000000000E-15 " "
relative error = 1.184757586084811300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.437499999201048 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 223.01451962354326 " "
Order of pole (three term test) = -5900.397907684452 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.349999999999950 " "
y[1] (analytic) = -1.768233323525816600E-2 " "
y[1] (numeric) = -1.76823332352560480E-2 " "
absolute error = 2.1163626406917047000000000000000E-15 " "
relative error = 1.196879740096587600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.43621398540208 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 223.02511158011475 " "
Order of pole (three term test) = -5900.858578526061 " "
Radius of convergence (six term test) for eq 1 = 737.19390299109 " "
Order of pole (six term test) = 40008.7740957658 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.359999999999950 " "
y[1] (analytic) = -1.75319478551638100E-2 " "
y[1] (numeric) = -1.75319478551616900E-2 " "
absolute error = 2.1198320876436583000000000000000E-15 " "
relative error = 1.209125252456924700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.434925864997126 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 222.65728840974114 " "
Order of pole (three term test) = -5891.285047444521 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.36999999999995 " "
y[1] (analytic) = -1.73828045404400300E-2 " "
y[1] (numeric) = -1.738280454043790400E-2 " "
absolute error = 2.1267709815475655000000000000000E-15 " "
relative error = 1.223491282203491800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.433635615067942 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 222.7017501868939 " "
Order of pole (three term test) = -5892.642839515305 " "
Radius of convergence (six term test) for eq 1 = 930.8782126569916 " "
Order of pole (six term test) = 63400.47639915956 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.37999999999995 " "
y[1] (analytic) = -1.72348934625990880E-2 " "
y[1] (numeric) = -1.72348934625969600E-2 " "
absolute error = 2.130240428499519000000000000000E-15 " "
relative error = 1.236004407640980400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.432343237796047 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 222.2281817936077 " "
Order of pole (three term test) = -5880.268194765762 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.38999999999995 " "
y[1] (analytic) = -1.70882048657717420E-2 " "
y[1] (numeric) = -1.708820486576960700E-2 " "
absolute error = 2.1337098754514727000000000000000E-15 " "
relative error = 1.24864483555283600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.43104871926145 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 222.07759475785656 " "
Order of pole (three term test) = -5876.454377997806 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.39999999999995 " "
y[1] (analytic) = -1.69427290662351800E-2 " "
y[1] (numeric) = -1.694272906623304200E-2 " "
absolute error = 2.1371793224034263000000000000000E-15 " "
relative error = 1.26141385726492400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.429752072637747 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 222.13924057225927 " "
Order of pole (three term test) = -5878.26319006201 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.4099999999999495 " "
y[1] (analytic) = -1.67984564519431700E-2 " "
y[1] (numeric) = -1.679845645194103200E-2 " "
absolute error = 2.1371793224034263000000000000000E-15 " "
relative error = 1.272247440422543700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.428453261824476 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 221.91807791175646 " "
Order of pole (three term test) = -5872.581856204955 " "
Radius of convergence (six term test) for eq 1 = 1049.4748622031495 " "
Order of pole (six term test) = 80031.34380059624 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.419999999999950 " "
y[1] (analytic) = -1.665537748205842500E-2 " "
y[1] (numeric) = -1.665537748205628600E-2 " "
absolute error = 2.14064876935538000000000000000E-15 " "
relative error = 1.285259833745190400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.427152313093075 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 221.882314604048 " "
Order of pole (three term test) = -5871.811523766389 " "
Radius of convergence (six term test) for eq 1 = 918.1172436987255 " "
Order of pole (six term test) = 61244.66981348468 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.429999999999949 " "
y[1] (analytic) = -1.651348268648716600E-2 " "
y[1] (numeric) = -1.65134826864850200E-2 " "
absolute error = 2.1441182163073336000000000000000E-15 " "
relative error = 1.298404617011435200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.425849220469757 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 221.46719100808437 " "
Order of pole (three term test) = -5860.981309111476 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.439999999999949 " "
y[1] (analytic) = -1.63727626654158900E-2 " "
y[1] (numeric) = -1.637276266541374300E-2 " "
absolute error = 2.147587663259287200000000000000E-15 " "
relative error = 1.311683133229327400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.424543945174044 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 221.5361804801757 " "
Order of pole (three term test) = -5862.991674042653 " "
Radius of convergence (six term test) for eq 1 = 1271.2202964843418 " "
Order of pole (six term test) = 116755.88591246348 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.449999999999949 " "
y[1] (analytic) = -1.623320808885038400E-2 " "
y[1] (numeric) = -1.623320808884823300E-2 " "
absolute error = 2.1510571102112408000000000000000E-15 " "
relative error = 1.3250967390042100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.423236507933158 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 221.27280844538026 " "
Order of pole (three term test) = -5856.187859293313 " "
Radius of convergence (six term test) for eq 1 = 2718.341198290719 " "
Order of pole (six term test) = 531856.6334553795 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.4599999999999485 " "
y[1] (analytic) = -1.609480969615691400E-2 " "
y[1] (numeric) = -1.60948096961547600E-2 " "
absolute error = 2.1545265571631944000000000000000E-15 " "
relative error = 1.33864680467619820000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.42192690425507 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 221.02373782149667 " "
Order of pole (three term test) = -5849.762556342218 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.469999999999948 " "
y[1] (analytic) = -1.595755829560566400E-2 " "
y[1] (numeric) = -1.59575582956035100E-2 " "
absolute error = 2.1545265571631944000000000000000E-15 " "
relative error = 1.350160542892392400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.420615125582216 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 220.9757033023023 " "
Order of pole (three term test) = -5848.66822836857 " "
Radius of convergence (six term test) for eq 1 = 906.1521539461348 " "
Order of pole (six term test) = 59237.457512026354 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.479999999999948 " "
y[1] (analytic) = -1.582144476391638700E-2 " "
y[1] (numeric) = -1.582144476391422700E-2 " "
absolute error = 2.157996004115148000000000000000E-15 " "
relative error = 1.363968990390081700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.419301162397158 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 220.80485161780788 " "
Order of pole (three term test) = -5844.31592533901 " "
Radius of convergence (six term test) for eq 1 = 1887.848538691133 " "
Order of pole (six term test) = 255616.7435907185 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.489999999999948 " "
y[1] (analytic) = -1.568646004580624700E-2 " "
y[1] (numeric) = -1.568646004580408500E-2 " "
absolute error = 2.1614654510671016000000000000000E-15 " "
relative error = 1.377917927152064200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.417985007127193 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 220.68913473484747 " "
Order of pole (three term test) = -5841.42480017655 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.499999999999948 " "
y[1] (analytic) = -1.55525951535399300E-2 " "
y[1] (numeric) = -1.555259515353776500E-2 " "
absolute error = 2.1632001745430784000000000000000E-15 " "
relative error = 1.390893386722480100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.416666670424153 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 220.5259498961559 " "
Order of pole (three term test) = -5837.274121805682 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.509999999999947 " "
y[1] (analytic) = -1.54198411664819400E-2 " "
y[1] (numeric) = -1.541984116647977500E-2 " "
absolute error = 2.1632001745430784000000000000000E-15 " "
relative error = 1.402868000511717200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.41534611546275 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 220.2409475761431 " "
Order of pole (three term test) = -5829.898552552842 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.519999999999947 " "
y[1] (analytic) = -1.528818923065113600E-2 " "
y[1] (numeric) = -1.52881892306489700E-2 " "
absolute error = 2.166669621495032000000000000000E-15 " "
relative error = 1.417217950933716800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.414023376491716 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 220.2049753661986 " "
Order of pole (three term test) = -5829.12277001093 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.529999999999947 " "
y[1] (analytic) = -1.515763055827746800E-2 " "
y[1] (numeric) = -1.5157630558275298E-2 " "
absolute error = 2.168404344971009000000000000000E-15 " "
relative error = 1.430569465744670500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.412698413230064 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 220.10950527097245 " "
Order of pole (three term test) = -5826.772352252076 " "
Radius of convergence (six term test) for eq 1 = 891.8059341181681 " "
Order of pole (six term test) = 56896.616949977135 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.539999999999947 " "
y[1] (analytic) = -1.502815642736096700E-2 " "
y[1] (numeric) = -1.502815642735879600E-2 " "
absolute error = 2.1718737919229625000000000000000E-15 " "
relative error = 1.445203077583586400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.41137123856223 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 219.66705887029397 " "
Order of pole (three term test) = -5815.216786973925 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.5499999999999465 " "
y[1] (analytic) = -1.489975818123292800E-2 " "
y[1] (numeric) = -1.489975818123075200E-2 " "
absolute error = 2.175343238874916000000000000000E-15 " "
relative error = 1.45998560004475900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.41004183578046 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 219.6764295183182 " "
Order of pole (three term test) = -5815.64540097293 " "
Radius of convergence (six term test) for eq 1 = 2378.9566141312544 " "
Order of pole (six term test) = 401660.79188473785 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.559999999999946 " "
y[1] (analytic) = -1.477242722811932300E-2 " "
y[1] (numeric) = -1.477242722811714600E-2 " "
absolute error = 2.175343238874916000000000000000E-15 " "
relative error = 1.472569947567011500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.40871021846309 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 219.64331957632197 " "
Order of pole (three term test) = -5814.945685103304 " "
Radius of convergence (six term test) for eq 1 = 1177.0719456676943 " "
Order of pole (six term test) = 98458.10944724151 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.569999999999946 " "
y[1] (analytic) = -1.46461550407064500E-2 " "
y[1] (numeric) = -1.46461550407042700E-2 " "
absolute error = 2.1788126858268697000000000000000E-15 " "
relative error = 1.487634590628897000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.407376357840526 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 219.33194204632952 " "
Order of pole (three term test) = -5806.86858439216 " "
Radius of convergence (six term test) for eq 1 = 979.8473258291347 " "
Order of pole (six term test) = 68220.41615688082 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.579999999999946 " "
y[1] (analytic) = -1.452093315570877000E-2 " "
y[1] (numeric) = -1.45209331557065900E-2 " "
absolute error = 2.1822821327788233000000000000000E-15 " "
relative error = 1.50285254355081100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.406040258450656 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 219.10004397209045 " "
Order of pole (three term test) = -5800.896898231316 " "
Radius of convergence (six term test) for eq 1 = 1266.9723924713905 " "
Order of pole (six term test) = 113684.21942647142 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.589999999999946 " "
y[1] (analytic) = -1.439675317343899500E-2 " "
y[1] (numeric) = -1.43967531734368100E-2 " "
absolute error = 2.1840168562548000000000000000E-15 " "
relative error = 1.517020421162848800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.40470193255306 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 218.88409301654048 " "
Order of pole (three term test) = -5795.348965991924 " "
Radius of convergence (six term test) for eq 1 = 1669.6272838782133 " "
Order of pole (six term test) = 196878.0739941462 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.5999999999999455 " "
y[1] (analytic) = -1.427360675738035500E-2 " "
y[1] (numeric) = -1.427360675737816800E-2 " "
absolute error = 2.1874863032067537000000000000000E-15 " "
relative error = 1.532539280638150800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.403361339611845 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 218.6805309082204 " "
Order of pole (three term test) = -5790.1265220272735 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.609999999999945 " "
y[1] (analytic) = -1.415148563376112000E-2 " "
y[1] (numeric) = -1.415148563375893000E-2 " "
absolute error = 2.1892210266827306000000000000000E-15 " "
relative error = 1.546990247765872600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.402018496752664 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 218.71941772121718 " "
Order of pole (three term test) = -5791.338882093193 " "
Radius of convergence (six term test) for eq 1 = 2469.285178105707 " "
Order of pole (six term test) = 429069.7574596553 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.619999999999945 " "
y[1] (analytic) = -1.403038159113132000E-2 " "
y[1] (numeric) = -1.403038159112912400E-2 " "
absolute error = 2.194425197110661000000000000000E-15 " "
relative error = 1.564052397903254000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.400673401535844 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 218.60429999445876 " "
Order of pole (three term test) = -5788.463202335169 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.629999999999945 " "
y[1] (analytic) = -1.39102864799416400E-2 " "
y[1] (numeric) = -1.391028647993944300E-2 " "
absolute error = 2.1961599205866378000000000000000E-15 " "
relative error = 1.578802797306480500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.399326032013498 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 218.3079986726587 " "
Order of pole (three term test) = -5780.784062257709 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.639999999999945 " "
y[1] (analytic) = -1.3791192212124600E-2 " "
y[1] (numeric) = -1.3791192212122400E-2 " "
absolute error = 2.1996293675385914000000000000000E-15 " "
relative error = 1.594952295425754200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.397976387645443 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 218.26175010548369 " "
Order of pole (three term test) = -5779.736309686022 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.649999999999944 " "
y[1] (analytic) = -1.367309076067787200E-2 " "
y[1] (numeric) = -1.36730907606756700E-2 " "
absolute error = 2.2013640910145682000000000000000E-15 " "
relative error = 1.609997424536536200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.396624464927207 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 217.9158844381542 " "
Order of pole (three term test) = -5770.7421696332485 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.659999999999944 " "
y[1] (analytic) = -1.355597415924983700E-2 " "
y[1] (numeric) = -1.355597415924763300E-2 " "
absolute error = 2.203098814490545000000000000000E-15 " "
relative error = 1.625186643622564300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.395270274486304 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 217.9509463975963 " "
Order of pole (three term test) = -5771.853119476276 " "
Radius of convergence (six term test) for eq 1 = 831.0222333577871 " "
Order of pole (six term test) = 48543.62400612128 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.669999999999944 " "
y[1] (analytic) = -1.343983450172733200E-2 " "
y[1] (numeric) = -1.343983450172513000E-2 " "
absolute error = 2.204833537966521800000000000000E-15 " "
relative error = 1.64052134546980400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.393913778411267 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 217.7371690273397 " "
Order of pole (three term test) = -5766.360546389593 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.679999999999944 " "
y[1] (analytic) = -1.332466394182561200E-2 " "
y[1] (numeric) = -1.332466394182340600E-2 " "
absolute error = 2.2083029849184754000000000000000E-15 " "
relative error = 1.6573048255173600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.392555003620544 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 217.63675136914685 " "
Order of pole (three term test) = -5763.8743304270265 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.6899999999999435 " "
y[1] (analytic) = -1.321045469268047600E-2 " "
y[1] (numeric) = -1.321045469267826400E-2 " "
absolute error = 2.211772431870429000000000000000E-15 " "
relative error = 1.674259125309219800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.391193905070775 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 217.2889420000609 " "
Order of pole (three term test) = -5754.829491571988 " "
Radius of convergence (six term test) for eq 1 = 2241.4908605515043 " "
Order of pole (six term test) = 349666.26014442544 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.699999999999943 " "
y[1] (analytic) = -1.309719902644261900E-2 " "
y[1] (numeric) = -1.309719902644040400E-2 " "
absolute error = 2.2152418788223827000000000000000E-15 " "
relative error = 1.691385978291935200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.389830508540268 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 217.15732265578794 " "
Order of pole (three term test) = -5751.513098686643 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.709999999999943 " "
y[1] (analytic) = -1.298488927387415300E-2 " "
y[1] (numeric) = -1.298488927387193800E-2 " "
absolute error = 2.2152418788223827000000000000000E-15 " "
relative error = 1.7060152243881600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.38846480345403 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 217.10450386773715 " "
Order of pole (three term test) = -5750.294687200657 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.719999999999943 " "
y[1] (analytic) = -1.287351782394734500E-2 " "
y[1] (numeric) = -1.287351782394512700E-2 " "
absolute error = 2.2169766022983595000000000000000E-15 " "
relative error = 1.722121826074870500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.38709677621565 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 216.81660783068216 " "
Order of pole (three term test) = -5742.835752322752 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.729999999999943 " "
y[1] (analytic) = -1.276307712344547700E-2 " "
y[1] (numeric) = -1.276307712344325600E-2 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.739741935094480700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.38572642687175 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 216.69822319728408 " "
Order of pole (three term test) = -5739.876948798312 " "
Radius of convergence (six term test) for eq 1 = 1095.4058548291857 " "
Order of pole (six term test) = 83286.63772696829 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.7399999999999425 " "
y[1] (analytic) = -1.265355967656595400E-2 " "
y[1] (numeric) = -1.265355967656373300E-2 " "
absolute error = 2.22218077272629000000000000000E-15 " "
relative error = 1.756170460745293500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.384353737088166 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 216.49997926025594 " "
Order of pole (three term test) = -5734.79561432378 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.749999999999942 " "
y[1] (analytic) = -1.254495804452554500E-2 " "
y[1] (numeric) = -1.25449580445233200E-2 " "
absolute error = 2.2256502196782435000000000000000E-15 " "
relative error = 1.774139229305344800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.38297873611499 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 216.5773877273499 " "
Order of pole (three term test) = -5737.029456504496 " "
Radius of convergence (six term test) for eq 1 = 1697.5216853897018 " "
Order of pole (six term test) = 199061.4304920819 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.759999999999942 " "
y[1] (analytic) = -1.243726484516780300E-2 " "
y[1] (numeric) = -1.243726484516557700E-2 " "
absolute error = 2.2273849431542203000000000000000E-15 " "
relative error = 1.790896126184541600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.38160136278522 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 216.30453967080345 " "
Order of pole (three term test) = -5729.968502241378 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.769999999999942 " "
y[1] (analytic) = -1.233047275257266600E-2 " "
y[1] (numeric) = -1.233047275257043700E-2 " "
absolute error = 2.229119666630197000000000000000E-15 " "
relative error = 1.807813626744446700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.380221650612675 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 215.9284430648382 " "
Order of pole (three term test) = -5720.170564798254 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.779999999999942 " "
y[1] (analytic) = -1.222457449666820200E-2 " "
y[1] (numeric) = -1.222457449666596900E-2 " "
absolute error = 2.2325891135821507000000000000000E-15 " "
relative error = 1.8263123302906298000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.378839585772088 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 215.8673236127325 " "
Order of pole (three term test) = -5718.728923967453 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.789999999999941 " "
y[1] (analytic) = -1.211956286284452100E-2 " "
y[1] (numeric) = -1.211956286284228700E-2 " "
absolute error = 2.2343238370581275000000000000000E-15 " "
relative error = 1.843568008470002000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.377455163974712 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 215.79931595367256 " "
Order of pole (three term test) = -5717.107241102018 " "
Radius of convergence (six term test) for eq 1 = 827.4014981602828 " "
Order of pole (six term test) = 47248.50107646030 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.799999999999941 " "
y[1] (analytic) = -1.201543069156985300E-2 " "
y[1] (numeric) = -1.201543069156761600E-2 " "
absolute error = 2.237793284010081200000000000000E-15 " "
relative error = 1.86243285110049300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.376068379507277 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 215.56774515932128 " "
Order of pole (three term test) = -5711.13707403027 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.809999999999941 " "
y[1] (analytic) = -1.191217087800874700E-2 " "
y[1] (numeric) = -1.19121708780065090E-2 " "
absolute error = 2.237793284010081200000000000000E-15 " "
relative error = 1.8785772189864300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.374679214709918 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 215.68123837477387 " "
Order of pole (three term test) = -5714.331986771429 " "
Radius of convergence (six term test) for eq 1 = 1360.9429534004257 " "
Order of pole (six term test) = 127012.57830795857 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.819999999999940 " "
y[1] (analytic) = -1.180977637164244400E-2 " "
y[1] (numeric) = -1.180977637164020400E-2 " "
absolute error = 2.239528007486058000000000000000E-15 " "
relative error = 1.896333966884925800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.373287676763393 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 215.33052359988199 " "
Order of pole (three term test) = -5705.206252729478 " "
Radius of convergence (six term test) for eq 1 = 1148.7944077400848 " "
Order of pole (six term test) = 90439.4615817526 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.829999999999940 " "
y[1] (analytic) = -1.17082401758913680E-2 " "
y[1] (numeric) = -1.170824017588912600E-2 " "
absolute error = 2.2429974544380116000000000000000E-15 " "
relative error = 1.915742605841486400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.371893753481253 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 215.1975626090686 " "
Order of pole (three term test) = -5701.857428122137 " "
Radius of convergence (six term test) for eq 1 = 1225.9033604071642 " "
Order of pole (six term test) = 102814.92119956239 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.83999999999994 " "
y[1] (analytic) = -1.16075553477397700E-2 " "
y[1] (numeric) = -1.160755534773752500E-2 " "
absolute error = 2.2447321779139884000000000000000E-15 " "
relative error = 1.93385438248294380000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.370497421398806 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 214.98833076314634 " "
Order of pole (three term test) = -5696.481190206140 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.84999999999994 " "
y[1] (analytic) = -1.15077149973624800E-2 " "
y[1] (numeric) = -1.150771499736023300E-2 " "
absolute error = 2.246466901389965200000000000000E-15 " "
relative error = 1.952139848705713000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.36909869872709 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 214.78379599975938 " "
Order of pole (three term test) = -5691.236943154737 " "
Radius of convergence (six term test) for eq 1 = 2334.1298008921394 " "
Order of pole (six term test) = 370905.7157111649 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.85999999999994 " "
y[1] (analytic) = -1.140871228775380700E-2 " "
y[1] (numeric) = -1.140871228775155900E-2 " "
absolute error = 2.248201624865942000000000000000E-15 " "
relative error = 1.970600684951252200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.367697599410068 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 214.57979472459314 " "
Order of pole (three term test) = -5685.998993667613 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.86999999999994 " "
y[1] (analytic) = -1.131054043435854200E-2 " "
y[1] (numeric) = -1.131054043435629200E-2 " "
absolute error = 2.2499363483419188000000000000000E-15 " "
relative error = 1.9892385880228900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.366294060160442 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 214.5077679100546 " "
Order of pole (three term test) = -5684.272662664156 " "
Radius of convergence (six term test) for eq 1 = 1763.8345783071427 " "
Order of pole (six term test) = 211336.9828630499 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.8799999999999395 " "
y[1] (analytic) = -1.121319270470507600E-2 " "
y[1] (numeric) = -1.121319270470282200E-2 " "
absolute error = 2.2534057952938724000000000000000E-15 " "
relative error = 2.009602309205244800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.364888122588223 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 214.31219427085443 " "
Order of pole (three term test) = -5679.261614478356 " "
Radius of convergence (six term test) for eq 1 = 1772.109480745499 " "
Order of pole (six term test) = 213056.12835484854 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.889999999999940 " "
y[1] (analytic) = -1.111666241804063500E-2 " "
y[1] (numeric) = -1.111666241803837800E-2 " "
absolute error = 2.256875242245826000000000000000E-15 " "
relative error = 2.030173407607722700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.363479754815494 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 214.2700572910053 " "
Order of pole (three term test) = -5678.323953452956 " "
Radius of convergence (six term test) for eq 1 = 2616.199000162787 " "
Order of pole (six term test) = 463414.54106933123 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.899999999999939 " "
y[1] (analytic) = -1.102094294496860600E-2 " "
y[1] (numeric) = -1.102094294496634700E-2 " "
absolute error = 2.258609965721802800000000000000E-15 " "
relative error = 2.04937996412813900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.362068964528877 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 214.05156350662008 " "
Order of pole (three term test) = -5672.70398358951 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.909999999999939 " "
y[1] (analytic) = -1.092602770708797400E-2 " "
y[1] (numeric) = -1.092602770708571300E-2 " "
absolute error = 2.2603446891977796000000000000000E-15 " "
relative error = 2.068770782753406600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.36065573964957 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 213.88729368023573 " "
Order of pole (three term test) = -5668.52527108782 " "
Radius of convergence (six term test) for eq 1 = 1482.6197827037854 " "
Order of pole (six term test) = 148634.65191398913 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.919999999999939 " "
y[1] (analytic) = -1.08319101766348300E-2 " "
y[1] (numeric) = -1.08319101766325700E-2 " "
absolute error = 2.2603446891977796000000000000000E-15 " "
relative error = 2.08674615311480100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.359240076225564 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 213.63549770642325 " "
Order of pole (three term test) = -5662.021462534666 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.929999999999938 " "
y[1] (analytic) = -1.073858387612599300E-2 " "
y[1] (numeric) = -1.073858387612372800E-2 " "
absolute error = 2.2638141361497333000000000000000E-15 " "
relative error = 2.10811235658608800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.357821959909803 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 213.57219524017734 " "
Order of pole (three term test) = -5660.521247599763 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.939999999999938 " "
y[1] (analytic) = -1.064604237800466900E-2 " "
y[1] (numeric) = -1.064604237800240200E-2 " "
absolute error = 2.267283583101687000000000000000E-15 " "
relative error = 2.129696184364270600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.356401385565004 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 213.3818034311447 " "
Order of pole (three term test) = -5655.650166925809 " "
Radius of convergence (six term test) for eq 1 = 2364.8955021682546 " "
Order of pole (six term test) = 376113.05619125796 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.949999999999938 " "
y[1] (analytic) = -1.055427930428822600E-2 " "
y[1] (numeric) = -1.055427930428595700E-2 " "
absolute error = 2.2690183065776637000000000000000E-15 " "
relative error = 2.149856225290301400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.354978357919137 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 213.21543364902374 " "
Order of pole (three term test) = -5651.4137638200855 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.959999999999938 " "
y[1] (analytic) = -1.046328832621801500E-2 " "
y[1] (numeric) = -1.046328832621574700E-2 " "
absolute error = 2.2690183065776637000000000000000E-15 " "
relative error = 2.168551831733577500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.353552867757273 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 212.96365403619356 " "
Order of pole (three term test) = -5644.910328022408 " "
Radius of convergence (six term test) for eq 1 = 6183.615649473727 " "
Order of pole (six term test) = 2562987.0369337904 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.969999999999938 " "
y[1] (analytic) = -1.037306316391125300E-2 " "
y[1] (numeric) = -1.037306316390898300E-2 " "
absolute error = 2.2707530300536405000000000000000E-15 " "
relative error = 2.18908628451601300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.352124893574047 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 212.83832589990644 " "
Order of pole (three term test) = -5641.762429081496 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.979999999999937 " "
y[1] (analytic) = -1.028359758601495200E-2 " "
y[1] (numeric) = -1.028359758601267700E-2 " "
absolute error = 2.274222477005594000000000000000E-15 " "
relative error = 2.211504736531497700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.350694451311547 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 212.65228337017138 " "
Order of pole (three term test) = -5637.005777909836 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.989999999999937 " "
y[1] (analytic) = -1.019488540936191300E-2 " "
y[1] (numeric) = -1.019488540935963700E-2 " "
absolute error = 2.275957200481571000000000000000E-15 " "
relative error = 2.232450007129624400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.349261506537633 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 212.35904159802985 " "
Order of pole (three term test) = -5629.400850075990 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.999999999999937 " "
y[1] (analytic) = -1.010692049862875500E-2 " "
y[1] (numeric) = -1.010692049862647700E-2 " "
absolute error = 2.2776919239575477000000000000000E-15 " "
relative error = 2.253596359312978700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
Radius of convergence (ratio test) for eq 1 = 17.347826091112786 " "
"Order of pole (ratio test) Not computed"
Radius of convergence (three term test) for eq 1 = 212.33181588496643 " "
Order of pole (three term test) = -5628.858405793741 " "
"NO COMPLEX POLE (six term test) for Equation 1"
"Finished!"
"diff ( y , x , 1 ) = (0.2 * x + 0.3) / exp(x);"
Iterations = 401
"Total Elapsed Time "= 0 Years 0 Days 0 Hours 2 Minutes 34 Seconds
"Elapsed Time(since restart) "= 0 Years 0 Days 0 Hours 2 Minutes 29 Seconds
"Time to Timeout "= 0 Years 0 Days 0 Hours 0 Minutes 25 Seconds
Percent Done = 100.49999999999841 "%"
(%o58) true
(%o58) diffeq.max