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._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2007
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> #BEGIN OUTFILE1
> # Begin Function number 3
> display_poles := proc()
> global ALWAYS,glob_display_flag, glob_large_float, array_pole, glob_type_given_pole,array_given_rad_poles,array_given_ord_poles, array_complex_poles,array_poles,array_real_poles,array_x ;
> local rad_given;
> if (glob_type_given_pole = 4) then # if number 1
> rad_given := sqrt(expt(array_x[1] - array_given_rad_poles[1,1],2.0) + expt(array_given_rad_poles[1,2],2.0)) ;
> omniout_float(ALWAYS,"Radius of convergence (given) for eq 1 ",4, rad_given,4," ");
> omniout_float(ALWAYS,"Order of pole (given) ",4, array_given_ord_poles[1,1],4," ");
> elif
> (glob_type_given_pole = 3) then # if number 2
> omniout_str(ALWAYS,"NO POLE (given) for Equation 1");
> else
> omniout_str(ALWAYS,"NO INFO (given) for Equation 1");
> fi;# end if 2;
> if (array_poles[1,1] <> glob_large_float) then # if number 2
> omniout_float(ALWAYS,"Radius of convergence (ratio test) for eq 1 ",4, array_poles[1,1],4," ");
> omniout_str(ALWAYS,"Order of pole (ratio test) Not computed");
> else
> omniout_str(ALWAYS,"NO POLE (ratio test) for Equation 1");
> fi;# end if 2;
> if ((array_real_poles[1,1] > 0.0) and (array_real_poles[1,1] <> glob_large_float)) then # if number 2
> 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");
> fi;# end if 2;
> if ((array_complex_poles[1,1] > 0.0) and (array_complex_poles[1,1] <> glob_large_float)) then # if number 2
> omniout_float(ALWAYS,"Radius of convergence (six term test) for eq 1 ",4, array_complex_poles[1,1],4," ");
> omniout_float(ALWAYS,"Order of pole (six term test) ",4, array_complex_poles[1,2],4," ");
> else
> omniout_str(ALWAYS,"NO COMPLEX POLE (six term test) for Equation 1");
> fi;# end if 2
> ;
> end;
display_poles := proc()
local rad_given;
global ALWAYS, glob_display_flag, glob_large_float, array_pole,
glob_type_given_pole, array_given_rad_poles, array_given_ord_poles,
array_complex_poles, array_poles, array_real_poles, array_x;
if glob_type_given_pole = 4 then
rad_given := sqrt(
expt(array_x[1] - array_given_rad_poles[1, 1], 2.0)
+ expt(array_given_rad_poles[1, 2], 2.0));
omniout_float(ALWAYS,
"Radius of convergence (given) for eq 1 ", 4,
rad_given, 4, " ");
omniout_float(ALWAYS,
"Order of pole (given) ", 4,
array_given_ord_poles[1, 1], 4, " ")
elif glob_type_given_pole = 3 then
omniout_str(ALWAYS, "NO POLE (given) for Equation 1")
else omniout_str(ALWAYS, "NO INFO (given) for Equation 1")
end if;
if array_poles[1, 1] <> glob_large_float then
omniout_float(ALWAYS,
"Radius of convergence (ratio test) for eq 1 ", 4,
array_poles[1, 1], 4, " ");
omniout_str(ALWAYS, "Order of pole (ratio test) \
Not computed")
else omniout_str(ALWAYS, "NO POLE (ratio test) for Equation 1")
end if;
if 0. < array_real_poles[1, 1] and
array_real_poles[1, 1] <> glob_large_float 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")
end if;
if 0. < array_complex_poles[1, 1] and
array_complex_poles[1, 1] <> glob_large_float then
omniout_float(ALWAYS,
"Radius of convergence (six term test) for eq 1 ", 4,
array_complex_poles[1, 1], 4, " ");
omniout_float(ALWAYS,
"Order of pole (six term test) ", 4,
array_complex_poles[1, 2], 4, " ")
else omniout_str(ALWAYS,
"NO COMPLEX POLE (six term test) for Equation 1")
end if
end proc
> # End Function number 3
> # Begin Function number 4
> check_sign := proc( x0 ,xf)
> local ret;
> if (xf > x0) then # if number 2
> ret := 1.0;
> else
> ret := -1.0;
> fi;# end if 2;
> ret;;
> end;
check_sign := proc(x0, xf)
local ret;
if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret
end proc
> # End Function number 4
> # Begin Function number 5
> est_size_answer := proc()
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_min_h,
> glob_type_given_pole,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local min_size;
> min_size := glob_large_float;
> if (omniabs(array_y[1]) < min_size) then # if number 2
> min_size := omniabs(array_y[1]);
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 2;
> if (min_size < 1.0) then # if number 2
> min_size := 1.0;
> omniout_float(ALWAYS,"min_size",32,min_size,32,"");
> fi;# end if 2;
> min_size;
> end;
est_size_answer := proc()
local min_size;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
glob_ratio_of_radius, glob_percent_done, glob_subiter_method,
glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log,
glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug,
glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour,
glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day,
glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec,
glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg,
glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h,
glob_max_h, glob_min_h, glob_type_given_pole, glob_large_float,
glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval,
glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0,
array_const_3D0, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
min_size := glob_large_float;
if omniabs(array_y[1]) < min_size then
min_size := omniabs(array_y[1]);
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
if min_size < 1.0 then
min_size := 1.0;
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")
end if;
min_size
end proc
> # End Function number 5
> # Begin Function number 6
> test_suggested_h := proc()
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_min_h,
> glob_type_given_pole,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local 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[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3);
> if (est_tmp >= max_estimated_step_error) then # if number 2
> max_estimated_step_error := est_tmp;
> fi;# end if 2;
> omniout_float(ALWAYS,"max_estimated_step_error",32,max_estimated_step_error,32,"");
> max_estimated_step_error;
> end;
test_suggested_h := proc()
local max_estimated_step_error, hn_div_ho, hn_div_ho_2, hn_div_ho_3,
no_terms, est_tmp;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
glob_ratio_of_radius, glob_percent_done, glob_subiter_method,
glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log,
glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug,
glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour,
glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day,
glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec,
glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg,
glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h,
glob_max_h, glob_min_h, glob_type_given_pole, glob_large_float,
glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval,
glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0,
array_const_3D0, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
max_estimated_step_error := 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[no_terms - 3]
+ array_y[no_terms - 2]*hn_div_ho
+ array_y[no_terms - 1]*hn_div_ho_2
+ array_y[no_terms]*hn_div_ho_3);
if max_estimated_step_error <= est_tmp then
max_estimated_step_error := est_tmp
end if;
omniout_float(ALWAYS, "max_estimated_step_error", 32,
max_estimated_step_error, 32, "");
max_estimated_step_error
end proc
> # End Function number 6
> # Begin Function number 7
> reached_interval := proc()
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_min_h,
> glob_type_given_pole,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local ret;
> if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 2
> ret := true;
> else
> ret := false;
> fi;# end if 2;
> return(ret);
> end;
reached_interval := proc()
local ret;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
glob_ratio_of_radius, glob_percent_done, glob_subiter_method,
glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log,
glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug,
glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour,
glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day,
glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec,
glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg,
glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h,
glob_max_h, glob_min_h, glob_type_given_pole, glob_large_float,
glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval,
glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0,
array_const_3D0, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then
ret := true
else ret := false
end if;
return ret
end proc
> # End Function number 7
> # Begin Function number 8
> display_alot := proc(iter)
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_min_h,
> glob_type_given_pole,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
> #TOP DISPLAY ALOT
> if (reached_interval()) then # if number 2
> if (iter >= 0) then # if number 3
> 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) then # if number 4
> relerr := abserr*100.0/omniabs(analytic_val_y);
> if (relerr > 0.0000000000000000000000000000000001) then # if number 5
> glob_good_digits := -trunc(log10(relerr)) + 3;
> else
> glob_good_digits := Digits;
> fi;# end if 5;
> else
> relerr := -1.0 ;
> glob_good_digits := -1;
> fi;# end if 4;
> if (glob_iter = 1) then # if number 4
> array_1st_rel_error[1] := relerr;
> else
> array_last_rel_error[1] := relerr;
> fi;# end if 4;
> omniout_float(ALWAYS,"absolute error ",4,abserr,20," ");
> omniout_float(ALWAYS,"relative error ",4,relerr,20,"%");
> omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ")
> ;
> omniout_float(ALWAYS,"h ",4,glob_h,20," ");
> fi;# end if 3;
> #BOTTOM DISPLAY ALOT
> fi;# end if 2;
> end;
display_alot := proc(iter)
local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
glob_ratio_of_radius, glob_percent_done, glob_subiter_method,
glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log,
glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug,
glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour,
glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day,
glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec,
glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg,
glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h,
glob_max_h, glob_min_h, glob_type_given_pole, glob_large_float,
glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval,
glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0,
array_const_3D0, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
if reached_interval() then
if 0 <= iter 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. then
relerr := abserr*100.0/omniabs(analytic_val_y);
if 0.1*10^(-33) < relerr then
glob_good_digits := -trunc(log10(relerr)) + 3
else glob_good_digits := Digits
end if
else relerr := -1.0; glob_good_digits := -1
end if;
if glob_iter = 1 then array_1st_rel_error[1] := relerr
else array_last_rel_error[1] := relerr
end if;
omniout_float(ALWAYS, "absolute error ", 4,
abserr, 20, " ");
omniout_float(ALWAYS, "relative error ", 4,
relerr, 20, "%");
omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " ");
omniout_float(ALWAYS, "h ", 4,
glob_h, 20, " ")
end if
end if
end proc
> # End Function number 8
> # Begin Function number 9
> adjust_for_pole := proc(h_param)
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_min_h,
> glob_type_given_pole,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local hnew, sz2, tmp;
> #TOP ADJUST FOR POLE
> hnew := h_param;
> glob_normmax := glob_small_float;
> if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 2
> tmp := omniabs(array_y_higher[1,1]);
> if (tmp < glob_normmax) then # if number 3
> glob_normmax := tmp;
> fi;# end if 3
> fi;# end if 2;
> if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 2
> sz2 := array_pole[1]/10.0;
> if (sz2 < hnew) then # if number 3
> omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity.");
> omniout_str(INFO,"Reached Optimal");
> return(hnew);
> fi;# end if 3
> fi;# end if 2;
> if ( not glob_reached_optimal_h) then # if number 2
> glob_reached_optimal_h := true;
> glob_curr_iter_when_opt := glob_current_iter;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> glob_optimal_start := array_x[1];
> fi;# end if 2;
> hnew := sz2;
> ;#END block
> return(hnew);
> #BOTTOM ADJUST FOR POLE
> end;
adjust_for_pole := proc(h_param)
local hnew, sz2, tmp;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
glob_ratio_of_radius, glob_percent_done, glob_subiter_method,
glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log,
glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug,
glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour,
glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day,
glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec,
glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg,
glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h,
glob_max_h, glob_min_h, glob_type_given_pole, glob_large_float,
glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval,
glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0,
array_const_3D0, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
hnew := h_param;
glob_normmax := glob_small_float;
if glob_small_float < omniabs(array_y_higher[1, 1]) then
tmp := omniabs(array_y_higher[1, 1]);
if tmp < glob_normmax then glob_normmax := tmp end if
end if;
if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and
array_pole[1] <> glob_large_float then
sz2 := array_pole[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
end if
end if;
if not glob_reached_optimal_h then
glob_reached_optimal_h := true;
glob_curr_iter_when_opt := glob_current_iter;
glob_optimal_clock_start_sec := elapsed_time_seconds();
glob_optimal_start := array_x[1]
end if;
hnew := sz2;
return hnew
end proc
> # End Function number 9
> # Begin Function number 10
> prog_report := proc(x_start,x_end)
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_min_h,
> glob_type_given_pole,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec;
> #TOP PROGRESS REPORT
> 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(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1);
> expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,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(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec));
> glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
> percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h));
> glob_percent_done := percent_done;
> 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 # if number 2
> 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));
> fi;# end if 2;
> omniout_str_noeol(INFO,"Time to Timeout ");
> omniout_timestr(convfloat(left_sec));
> omniout_float(INFO, "Percent Done ",33,percent_done,4,"%");
> #BOTTOM PROGRESS REPORT
> end;
prog_report := proc(x_start, x_end)
local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec,
percent_done, total_clock_sec;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
glob_ratio_of_radius, glob_percent_done, glob_subiter_method,
glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log,
glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug,
glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour,
glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day,
glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec,
glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg,
glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h,
glob_max_h, glob_min_h, glob_type_given_pole, glob_large_float,
glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval,
glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0,
array_const_3D0, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
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(glob_max_sec) + convfloat(glob_orig_start_sec)
- convfloat(clock_sec1);
expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h),
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(array_x[1]) + convfloat(glob_h),
convfloat(opt_clock_sec));
glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec;
percent_done := comp_percent(convfloat(x_end), convfloat(x_start),
convfloat(array_x[1]) + convfloat(glob_h));
glob_percent_done := percent_done;
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))
end if;
omniout_str_noeol(INFO, "Time to Timeout ");
omniout_timestr(convfloat(left_sec));
omniout_float(INFO, "Percent Done ", 33,
percent_done, 4, "%")
end proc
> # End Function number 10
> # Begin Function number 11
> check_for_pole := proc()
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_min_h,
> glob_type_given_pole,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local 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;
> #TOP CHECK FOR POLE
> array_pole[1] := glob_large_float;
> array_pole[2] := glob_large_float;
> tmp_rad := glob_large_float;
> prev_tmp_rad := glob_large_float;
> tmp_ratio := glob_large_float;
> rad_c := glob_large_float;
> array_poles[1,1] := glob_large_float;
> array_poles[1,2] := glob_large_float;
> #TOP radius ratio test in Henrici1
> found_sing := 1;
> n := glob_max_terms - 1 - 10;
> cnt := 0;
> while ((cnt < 5) and (found_sing = 1)) do # do number 1
> if ((omniabs(array_y_higher[1,n]) = 0.0) or (omniabs(array_y_higher[1,n+1]) = 0.0)) then # if number 2
> found_sing := 0;
> else
> tmp_rad := omniabs(array_y_higher[1,n] * glob_h / array_y_higher[1,n + 1]);
> tmp_ratio := tmp_rad / prev_tmp_rad;
> if ((cnt > 0 ) and (tmp_ratio < 2.0) and (tmp_ratio > 0.5)) then # if number 3
> if (tmp_rad < rad_c) then # if number 4
> rad_c := tmp_rad;
> fi;# end if 4;
> elif
> (cnt = 0) then # if number 4
> if (tmp_rad < rad_c) then # if number 5
> rad_c := tmp_rad;
> fi;# end if 5;
> elif
> (cnt > 0) then # if number 5
> found_sing := 0;
> fi;# end if 5
> fi;# end if 4;
> prev_tmp_rad := tmp_rad;;
> cnt := cnt + 1;
> n := n + 1;
> od;# end do number 1;
> if (found_sing = 1) then # if number 4
> if (rad_c < array_pole[1]) then # if number 5
> array_pole[1] := rad_c;
> array_poles[1,1] := rad_c;
> fi;# end if 5;
> fi;# end if 4;
> #BOTTOM radius ratio test in Henrici1
> #IN RADII REAL EQ = 1
> #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1
> #Applies to pole of arbitrary r_order on the real axis,
> #Due to Prof. George Corliss.
> n := glob_max_terms;
> m := n - 1 - 1;
> while ((m >= 10) and ((omniabs(array_y_higher[1,m]) = 0.0) or (omniabs(array_y_higher[1,m-1]) = 0.0) or (omniabs(array_y_higher[1,m-2]) = 0.0))) do # do number 1
> m := m - 1;
> od;# end do number 1;
> if (m > 10) then # if number 4
> rm0 := array_y_higher[1,m]/array_y_higher[1,m-1];
> rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2];
> hdrc := convfloat(m)*rm0-convfloat(m-1)*rm1;
> if (omniabs(hdrc) > 0.0) then # if number 5
> rcs := glob_h/hdrc;
> ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc;
> array_real_poles[1,1] := rcs;
> array_real_poles[1,2] := ord_no;
> else
> array_real_poles[1,1] := glob_large_float;
> array_real_poles[1,2] := glob_large_float;
> fi;# end if 5
> else
> array_real_poles[1,1] := glob_large_float;
> array_real_poles[1,2] := glob_large_float;
> fi;# end if 4;
> #BOTTOM RADII REAL EQ = 1
> #TOP RADII COMPLEX EQ = 1
> #Computes radius of convergence for complex conjugate pair of poles.
> #from 6 adjacent Taylor series terms
> #Also computes r_order of poles.
> #Due to Manuel Prieto.
> #With a correction by Dennis J. Darland
> n := glob_max_terms - 1 - 1;
> cnt := 0;
> while ((cnt < 5) and (n >= 10)) do # do number 1
> if (omniabs(array_y_higher[1,n]) <> 0.0) then # if number 4
> cnt := cnt + 1;
> else
> cnt := 0;
> fi;# end if 4;
> n := n - 1;
> od;# end do number 1;
> m := n + cnt;
> if (m <= 10) then # if number 4
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]);
> rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]);
> rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]);
> rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]);
> rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]);
> nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2;
> nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3;
> dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
> dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
> ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
> ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
> if ((omniabs(nr1 * dr2 - nr2 * dr1) = 0.0) or (omniabs(dr1) = 0.0)) then # if number 5
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> else
> if (omniabs(nr1*dr2 - nr2 * dr1) <> 0.0) then # if number 6
> rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1));
> #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1)
> ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0;
> if (omniabs(rcs) <> 0.0) then # if number 7
> if (rcs > 0.0) then # if number 8
> rad_c := sqrt(rcs) * omniabs(glob_h);
> else
> rad_c := glob_large_float;
> fi;# end if 8
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 7
> else
> rad_c := glob_large_float;
> ord_no := glob_large_float;
> fi;# end if 6
> fi;# end if 5;
> array_complex_poles[1,1] := rad_c;
> array_complex_poles[1,2] := ord_no;
> fi;# end if 4;
> #BOTTOM RADII COMPLEX EQ = 1
> #START ADJUST ALL SERIES
> if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 4
> h_new := array_pole[1] * glob_ratio_of_radius;
> term := 1;
> ratio := 1.0;
> while (term <= glob_max_terms) do # do number 1
> array_y[term] := array_y[term]* ratio;
> array_y_higher[1,term] := array_y_higher[1,term]* ratio;
> array_x[term] := array_x[term]* ratio;
> ratio := ratio * h_new / omniabs(glob_h);
> term := term + 1;
> od;# end do number 1;
> glob_h := h_new;
> fi;# end if 4;
> #BOTTOM ADJUST ALL SERIES
> ;
> if (reached_interval()) then # if number 4
> display_poles();
> fi;# end if 4
> end;
check_for_pole := proc()
local 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;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
glob_ratio_of_radius, glob_percent_done, glob_subiter_method,
glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log,
glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug,
glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour,
glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day,
glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec,
glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg,
glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h,
glob_max_h, glob_min_h, glob_type_given_pole, glob_large_float,
glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval,
glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0,
array_const_3D0, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
array_pole[1] := glob_large_float;
array_pole[2] := glob_large_float;
tmp_rad := glob_large_float;
prev_tmp_rad := glob_large_float;
tmp_ratio := glob_large_float;
rad_c := glob_large_float;
array_poles[1, 1] := glob_large_float;
array_poles[1, 2] := glob_large_float;
found_sing := 1;
n := glob_max_terms - 11;
cnt := 0;
while cnt < 5 and found_sing = 1 do
if omniabs(array_y_higher[1, n]) = 0. or
omniabs(array_y_higher[1, n + 1]) = 0. then found_sing := 0
else
tmp_rad := omniabs(
array_y_higher[1, n]*glob_h/array_y_higher[1, n + 1]);
tmp_ratio := tmp_rad/prev_tmp_rad;
if 0 < cnt and tmp_ratio < 2.0 and 0.5 < tmp_ratio then
if tmp_rad < rad_c then rad_c := tmp_rad end if
elif cnt = 0 then
if tmp_rad < rad_c then rad_c := tmp_rad end if
elif 0 < cnt then found_sing := 0
end if
end if;
prev_tmp_rad := tmp_rad;
cnt := cnt + 1;
n := n + 1
end do;
if found_sing = 1 then
if rad_c < array_pole[1] then
array_pole[1] := rad_c; array_poles[1, 1] := rad_c
end if
end if;
n := glob_max_terms;
m := n - 2;
while 10 <= m and (omniabs(array_y_higher[1, m]) = 0. or
omniabs(array_y_higher[1, m - 1]) = 0. or
omniabs(array_y_higher[1, m - 2]) = 0.) do m := m - 1
end do;
if 10 < m then
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
hdrc := convfloat(m)*rm0 - convfloat(m - 1)*rm1;
if 0. < omniabs(hdrc) then
rcs := glob_h/hdrc;
ord_no := (
rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc
;
array_real_poles[1, 1] := rcs;
array_real_poles[1, 2] := ord_no
else
array_real_poles[1, 1] := glob_large_float;
array_real_poles[1, 2] := glob_large_float
end if
else
array_real_poles[1, 1] := glob_large_float;
array_real_poles[1, 2] := glob_large_float
end if;
n := glob_max_terms - 2;
cnt := 0;
while cnt < 5 and 10 <= n do
if omniabs(array_y_higher[1, n]) <> 0. then cnt := cnt + 1
else cnt := 0
end if;
n := n - 1
end do;
m := n + cnt;
if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float
else
rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1];
rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2];
rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3];
rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4];
rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5];
nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1
+ convfloat(m - 3)*rm2;
nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2
+ convfloat(m - 4)*rm3;
dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3;
dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4;
ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3;
ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4;
if omniabs(nr1*dr2 - nr2*dr1) = 0. or omniabs(dr1) = 0. then
rad_c := glob_large_float; ord_no := glob_large_float
else
if omniabs(nr1*dr2 - nr2*dr1) <> 0. then
rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1);
ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0;
if omniabs(rcs) <> 0. then
if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h)
else rad_c := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
else rad_c := glob_large_float; ord_no := glob_large_float
end if
end if;
array_complex_poles[1, 1] := rad_c;
array_complex_poles[1, 2] := ord_no
end if;
if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then
h_new := array_pole[1]*glob_ratio_of_radius;
term := 1;
ratio := 1.0;
while term <= glob_max_terms do
array_y[term] := array_y[term]*ratio;
array_y_higher[1, term] := array_y_higher[1, term]*ratio;
array_x[term] := array_x[term]*ratio;
ratio := ratio*h_new/omniabs(glob_h);
term := term + 1
end do;
glob_h := h_new
end if;
if reached_interval() then display_poles() end if
end proc
> # End Function number 11
> # Begin Function number 12
> get_norms := proc()
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_min_h,
> glob_type_given_pole,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local iii;
> if ( not glob_initial_pass) then # if number 4
> iii := 1;
> while (iii <= glob_max_terms) do # do number 1
> array_norms[iii] := 0.0;
> iii := iii + 1;
> od;# end do number 1;
> #TOP GET NORMS
> iii := 1;
> while (iii <= glob_max_terms) do # do number 1
> if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 5
> array_norms[iii] := omniabs(array_y[iii]);
> fi;# end if 5;
> iii := iii + 1;
> od;# end do number 1
> #BOTTOM GET NORMS
> ;
> fi;# end if 4;
> end;
get_norms := proc()
local iii;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
glob_ratio_of_radius, glob_percent_done, glob_subiter_method,
glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log,
glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug,
glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour,
glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day,
glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec,
glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg,
glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h,
glob_max_h, glob_min_h, glob_type_given_pole, glob_large_float,
glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval,
glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0,
array_const_3D0, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
if not glob_initial_pass then
iii := 1;
while iii <= glob_max_terms do
array_norms[iii] := 0.; iii := iii + 1
end do;
iii := 1;
while iii <= glob_max_terms do
if array_norms[iii] < omniabs(array_y[iii]) then
array_norms[iii] := omniabs(array_y[iii])
end if;
iii := iii + 1
end do
end if
end proc
> # End Function number 12
> # Begin Function number 13
> atomall := proc()
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_min_h,
> glob_type_given_pole,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> local kkk, order_d, adj2, adj3 , temporary, term;
> #TOP ATOMALL
> #END OUTFILE1
> #BEGIN ATOMHDR1
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 1
> array_tmp1[1] := array_const_2D0[1] * array_x[1];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 1
> array_tmp2[1] := array_tmp1[1] + array_const_3D0[1];
> array_tmp3[1] := sinh(array_tmp2[1]);
> array_tmp3_g[1] := cosh(array_tmp2[1]);
> #emit pre add CONST FULL $eq_no = 1 i = 1
> array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
> #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5
> if ( not array_y_set_initial[1,2]) then # if number 1
> if (1 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[1] * expt(glob_h , (1)) * factorial_3(0,1);
> array_y[2] := temporary;
> array_y_higher[1,2] := temporary;
> temporary := temporary / glob_h * (1.0);
> array_y_higher[2,1] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 2;
> #END ATOMHDR1
> #BEGIN ATOMHDR2
> #emit pre mult CONST - LINEAR $eq_no = 1 i = 2
> array_tmp1[2] := array_const_2D0[1] * array_x[2];
> #emit pre add LINEAR - CONST $eq_no = 1 i = 2
> array_tmp2[2] := array_tmp1[2];
> #emit pre sinh LINEAR $eq_no = 1
> array_tmp3[2] := array_tmp3_g[1] * array_tmp2[2] / 1;
> array_tmp3_g[2] := array_tmp3[1] * array_tmp2[2] / 1;
> #emit pre add CONST FULL $eq_no = 1 i = 2
> array_tmp4[2] := array_tmp3[2];
> #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5
> if ( not array_y_set_initial[1,3]) then # if number 1
> if (2 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[2] * expt(glob_h , (1)) * factorial_3(1,2);
> array_y[3] := temporary;
> array_y_higher[1,3] := temporary;
> temporary := temporary / glob_h * (2.0);
> array_y_higher[2,2] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 3;
> #END ATOMHDR2
> #BEGIN ATOMHDR3
> #emit pre sinh LINEAR $eq_no = 1
> array_tmp3[3] := array_tmp3_g[2] * array_tmp2[2] / 2;
> array_tmp3_g[3] := array_tmp3[2] * array_tmp2[2] / 2;
> #emit pre add CONST FULL $eq_no = 1 i = 3
> array_tmp4[3] := array_tmp3[3];
> #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5
> if ( not array_y_set_initial[1,4]) then # if number 1
> if (3 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[3] * expt(glob_h , (1)) * factorial_3(2,3);
> array_y[4] := temporary;
> array_y_higher[1,4] := temporary;
> temporary := temporary / glob_h * (3.0);
> array_y_higher[2,3] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 4;
> #END ATOMHDR3
> #BEGIN ATOMHDR4
> #emit pre sinh LINEAR $eq_no = 1
> array_tmp3[4] := array_tmp3_g[3] * array_tmp2[2] / 3;
> array_tmp3_g[4] := array_tmp3[3] * array_tmp2[2] / 3;
> #emit pre add CONST FULL $eq_no = 1 i = 4
> array_tmp4[4] := array_tmp3[4];
> #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5
> if ( not array_y_set_initial[1,5]) then # if number 1
> if (4 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[4] * expt(glob_h , (1)) * factorial_3(3,4);
> array_y[5] := temporary;
> array_y_higher[1,5] := temporary;
> temporary := temporary / glob_h * (4.0);
> array_y_higher[2,4] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 5;
> #END ATOMHDR4
> #BEGIN ATOMHDR5
> #emit pre sinh LINEAR $eq_no = 1
> array_tmp3[5] := array_tmp3_g[4] * array_tmp2[2] / 4;
> array_tmp3_g[5] := array_tmp3[4] * array_tmp2[2] / 4;
> #emit pre add CONST FULL $eq_no = 1 i = 5
> array_tmp4[5] := array_tmp3[5];
> #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5
> if ( not array_y_set_initial[1,6]) then # if number 1
> if (5 <= glob_max_terms) then # if number 2
> temporary := array_tmp4[5] * expt(glob_h , (1)) * factorial_3(4,5);
> array_y[6] := temporary;
> array_y_higher[1,6] := temporary;
> temporary := temporary / glob_h * (5.0);
> array_y_higher[2,5] := temporary;
> fi;# end if 2;
> fi;# end if 1;
> kkk := 6;
> #END ATOMHDR5
> #BEGIN OUTFILE3
> #Top Atomall While Loop-- outfile3
> while (kkk <= glob_max_terms) do # do number 1
> #END OUTFILE3
> #BEGIN OUTFILE4
> #emit sinh LINEAR $eq_no = 1
> array_tmp3[kkk] := array_tmp3_g[kkk - 1] * array_tmp2[2] / (kkk - 1);
> array_tmp3_g[kkk] := -array_tmp3[kkk - 1] * array_tmp2[2] / (kkk - 1);
> #emit NOT FULL - FULL add $eq_no = 1
> array_tmp4[kkk] := array_tmp3[kkk];
> #emit assign $eq_no = 1
> order_d := 1;
> if (kkk + order_d < glob_max_terms) then # if number 1
> if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2
> temporary := array_tmp4[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1));
> array_y[kkk + order_d] := temporary;
> array_y_higher[1,kkk + order_d] := temporary;
> term := kkk + order_d - 1;
> adj2 := kkk + order_d - 1;
> adj3 := 2;
> while (term >= 1) do # do number 1
> if (adj3 <= order_d + 1) then # if number 3
> if (adj2 > 0) then # if number 4
> temporary := temporary / glob_h * convfp(adj2);
> else
> temporary := temporary;
> fi;# end if 4;
> array_y_higher[adj3,term] := temporary;
> fi;# end if 3;
> term := term - 1;
> adj2 := adj2 - 1;
> adj3 := adj3 + 1;
> od;# end do number 1
> fi;# end if 2
> fi;# end if 1;
> kkk := kkk + 1;
> od;# end do number 1;
> #BOTTOM ATOMALL
> #END OUTFILE4
> #BEGIN OUTFILE5
> #BOTTOM ATOMALL ???
> end;
atomall := proc()
local kkk, order_d, adj2, adj3, temporary, term;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
glob_ratio_of_radius, glob_percent_done, glob_subiter_method,
glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log,
glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug,
glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour,
glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day,
glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec,
glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg,
glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h,
glob_max_h, glob_min_h, glob_type_given_pole, glob_large_float,
glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval,
glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0,
array_const_3D0, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
array_tmp1[1] := array_const_2D0[1]*array_x[1];
array_tmp2[1] := array_tmp1[1] + array_const_3D0[1];
array_tmp3[1] := sinh(array_tmp2[1]);
array_tmp3_g[1] := cosh(array_tmp2[1]);
array_tmp4[1] := array_const_0D0[1] + array_tmp3[1];
if not array_y_set_initial[1, 2] then
if 1 <= glob_max_terms then
temporary := array_tmp4[1]*expt(glob_h, 1)*factorial_3(0, 1);
array_y[2] := temporary;
array_y_higher[1, 2] := temporary;
temporary := temporary*1.0/glob_h;
array_y_higher[2, 1] := temporary
end if
end if;
kkk := 2;
array_tmp1[2] := array_const_2D0[1]*array_x[2];
array_tmp2[2] := array_tmp1[2];
array_tmp3[2] := array_tmp3_g[1]*array_tmp2[2];
array_tmp3_g[2] := array_tmp3[1]*array_tmp2[2];
array_tmp4[2] := array_tmp3[2];
if not array_y_set_initial[1, 3] then
if 2 <= glob_max_terms then
temporary := array_tmp4[2]*expt(glob_h, 1)*factorial_3(1, 2);
array_y[3] := temporary;
array_y_higher[1, 3] := temporary;
temporary := temporary*2.0/glob_h;
array_y_higher[2, 2] := temporary
end if
end if;
kkk := 3;
array_tmp3[3] := 1/2*array_tmp3_g[2]*array_tmp2[2];
array_tmp3_g[3] := 1/2*array_tmp3[2]*array_tmp2[2];
array_tmp4[3] := array_tmp3[3];
if not array_y_set_initial[1, 4] then
if 3 <= glob_max_terms then
temporary := array_tmp4[3]*expt(glob_h, 1)*factorial_3(2, 3);
array_y[4] := temporary;
array_y_higher[1, 4] := temporary;
temporary := temporary*3.0/glob_h;
array_y_higher[2, 3] := temporary
end if
end if;
kkk := 4;
array_tmp3[4] := 1/3*array_tmp3_g[3]*array_tmp2[2];
array_tmp3_g[4] := 1/3*array_tmp3[3]*array_tmp2[2];
array_tmp4[4] := array_tmp3[4];
if not array_y_set_initial[1, 5] then
if 4 <= glob_max_terms then
temporary := array_tmp4[4]*expt(glob_h, 1)*factorial_3(3, 4);
array_y[5] := temporary;
array_y_higher[1, 5] := temporary;
temporary := temporary*4.0/glob_h;
array_y_higher[2, 4] := temporary
end if
end if;
kkk := 5;
array_tmp3[5] := 1/4*array_tmp3_g[4]*array_tmp2[2];
array_tmp3_g[5] := 1/4*array_tmp3[4]*array_tmp2[2];
array_tmp4[5] := array_tmp3[5];
if not array_y_set_initial[1, 6] then
if 5 <= glob_max_terms then
temporary := array_tmp4[5]*expt(glob_h, 1)*factorial_3(4, 5);
array_y[6] := temporary;
array_y_higher[1, 6] := temporary;
temporary := temporary*5.0/glob_h;
array_y_higher[2, 5] := temporary
end if
end if;
kkk := 6;
while kkk <= glob_max_terms do
array_tmp3[kkk] := array_tmp3_g[kkk - 1]*array_tmp2[2]/(kkk - 1);
array_tmp3_g[kkk] := -array_tmp3[kkk - 1]*array_tmp2[2]/(kkk - 1);
array_tmp4[kkk] := array_tmp3[kkk];
order_d := 1;
if kkk + order_d < glob_max_terms then
if not array_y_set_initial[1, kkk + order_d] then
temporary := array_tmp4[kkk]*expt(glob_h, order_d)*
factorial_3(kkk - 1, kkk + order_d - 1);
array_y[kkk + order_d] := temporary;
array_y_higher[1, kkk + order_d] := temporary;
term := kkk + order_d - 1;
adj2 := kkk + order_d - 1;
adj3 := 2;
while 1 <= term do
if adj3 <= order_d + 1 then
if 0 < adj2 then
temporary := temporary*convfp(adj2)/glob_h
else temporary := temporary
end if;
array_y_higher[adj3, term] := temporary
end if;
term := term - 1;
adj2 := adj2 - 1;
adj3 := adj3 + 1
end do
end if
end if;
kkk := kkk + 1
end do
end proc
> # End Function number 13
> #BEGIN ATS LIBRARY BLOCK
> # Begin Function number 2
> omniout_str := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s\n",str);
> fi;# end if 1;
> end;
omniout_str := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s
", str)
end if
end proc
> # End Function number 2
> # Begin Function number 3
> omniout_str_noeol := proc(iolevel,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> printf("%s",str);
> fi;# end if 1;
> end;
omniout_str_noeol := proc(iolevel, str)
global glob_iolevel;
if iolevel <= glob_iolevel then printf("%s", str) end if
end proc
> # End Function number 3
> # Begin Function number 4
> omniout_labstr := proc(iolevel,label,str)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> print(label,str);
> fi;# end if 1;
> end;
omniout_labstr := proc(iolevel, label, str)
global glob_iolevel;
if iolevel <= glob_iolevel then print(label, str) end if
end proc
> # End Function number 4
> # Begin Function number 5
> omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 1
> if vallen = 4 then
> printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel);
> else
> printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 4 then printf("%-30s = %-42.4g %s
", prelabel, value, postlabel)
else printf("%-30s = %-42.32g %s
", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 5
> # Begin Function number 6
> omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> if vallen = 5 then # if number 1
> printf("%-30s = %-32d %s\n",prelabel,value, postlabel);
> else
> printf("%-30s = %-32d %s \n",prelabel,value, postlabel);
> fi;# end if 1;
> fi;# end if 0;
> end;
omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
if vallen = 5 then printf("%-30s = %-32d %s
", prelabel, value, postlabel)
else printf("%-30s = %-32d %s
", prelabel, value, postlabel)
end if
end if
end proc
> # End Function number 6
> # Begin Function number 7
> omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel)
> global glob_iolevel;
> if (glob_iolevel >= iolevel) then # if number 0
> print(prelabel,"[",elemnt,"]",value, postlabel);
> fi;# end if 0;
> end;
omniout_float_arr := proc(
iolevel, prelabel, elemnt, prelen, value, vallen, postlabel)
global glob_iolevel;
if iolevel <= glob_iolevel then
print(prelabel, "[", elemnt, "]", value, postlabel)
end if
end proc
> # End Function number 7
> # Begin Function number 8
> dump_series := proc(iolevel,dump_label,series_name,arr_series,numb)
> global glob_iolevel;
> local i;
> if (glob_iolevel >= iolevel) then # if number 0
> i := 1;
> while (i <= numb) do # do number 1
> print(dump_label,series_name
> ,i,arr_series[i]);
> i := i + 1;
> od;# end do number 1
> fi;# end if 0
> end;
dump_series := proc(iolevel, dump_label, series_name, arr_series, numb)
local i;
global glob_iolevel;
if iolevel <= glob_iolevel then
i := 1;
while i <= numb do
print(dump_label, series_name, i, arr_series[i]); i := i + 1
end do
end if
end proc
> # End Function number 8
> # Begin Function number 9
> dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x)
> global glob_iolevel;
> local i,sub,ts_term;
> if (glob_iolevel >= iolevel) then # if number 0
> sub := 1;
> while (sub <= subnum) do # do number 1
> i := 1;
> while (i <= numb) do # do number 2
> print(dump_label,series_name2,sub,i,arr_series2[sub,i]);
> od;# end do number 2;
> sub := sub + 1;
> od;# end do number 1;
> fi;# end if 0;
> end;
dump_series_2 := proc(
iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x)
local i, sub, ts_term;
global glob_iolevel;
if iolevel <= glob_iolevel then
sub := 1;
while sub <= subnum do
i := 1;
while i <= numb do print(dump_label, series_name2, sub, i,
arr_series2[sub, i])
end do;
sub := sub + 1
end do
end if
end proc
> # End Function number 9
> # Begin Function number 10
> cs_info := proc(iolevel,str)
> global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h;
> if (glob_iolevel >= iolevel) then # if number 0
> print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h)
> fi;# end if 0;
> end;
cs_info := proc(iolevel, str)
global
glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h;
if iolevel <= glob_iolevel then print("cs_info ", str,
" glob_correct_start_flag = ", glob_correct_start_flag,
"glob_h := ", glob_h, "glob_reached_optimal_h := ",
glob_reached_optimal_h)
end if
end proc
> # End Function number 10
> # Begin Function number 11
> logitem_time := proc(fd,secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> fprintf(fd,"
");
> if (secs_in >= 0) then # if number 0
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 1
> fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 2
> fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 3
> fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 4
> fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int);
> else
> fprintf(fd,"%d Seconds",sec_int);
> fi;# end if 4
> else
> fprintf(fd," Unknown");
> fi;# end if 3
> fprintf(fd," | \n");
> end;
logitem_time := proc(fd, secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
fprintf(fd, "");
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then fprintf(fd,
"%d Years %d Days %d Hours %d Minutes %d Seconds", years_int,
days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then fprintf(fd,
"%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int,
minutes_int, sec_int)
elif 0 < hours_int then fprintf(fd,
"%d Hours %d Minutes %d Seconds", hours_int, minutes_int,
sec_int)
elif 0 < minutes_int then
fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int)
else fprintf(fd, "%d Seconds", sec_int)
end if
else fprintf(fd, " Unknown")
end if;
fprintf(fd, " |
")
end proc
> # End Function number 11
> # Begin Function number 12
> omniout_timestr := proc(secs_in)
> global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
> local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int;
> if (secs_in >= 0) then # if number 3
> years_int := trunc(secs_in / glob_sec_in_year);
> sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year));
> days_int := trunc(sec_temp / glob_sec_in_day) ;
> sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ;
> hours_int := trunc(sec_temp / glob_sec_in_hour);
> sec_temp := (sec_temp mod trunc(glob_sec_in_hour));
> minutes_int := trunc(sec_temp / glob_sec_in_minute);
> sec_int := (sec_temp mod trunc(glob_sec_in_minute));
> if (years_int > 0) then # if number 4
> printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int);
> elif
> (days_int > 0) then # if number 5
> printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int);
> elif
> (hours_int > 0) then # if number 6
> printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int);
> elif
> (minutes_int > 0) then # if number 7
> printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int);
> else
> printf(" = %d Seconds\n",sec_int);
> fi;# end if 7
> else
> printf(" Unknown\n");
> fi;# end if 6
> end;
omniout_timestr := proc(secs_in)
local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int;
global
glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year;
if 0 <= secs_in then
years_int := trunc(secs_in/glob_sec_in_year);
sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year);
days_int := trunc(sec_temp/glob_sec_in_day);
sec_temp := sec_temp mod trunc(glob_sec_in_day);
hours_int := trunc(sec_temp/glob_sec_in_hour);
sec_temp := sec_temp mod trunc(glob_sec_in_hour);
minutes_int := trunc(sec_temp/glob_sec_in_minute);
sec_int := sec_temp mod trunc(glob_sec_in_minute);
if 0 < years_int then printf(" = %d Years %d Days %d Hours %d Mi\
nutes %d Seconds
", years_int, days_int, hours_int, minutes_int, sec_int)
elif 0 < days_int then printf(" = %d Days %d Hours %d Minutes %d\
Seconds
", days_int, hours_int, minutes_int, sec_int)
elif 0 < hours_int then printf(" = %d Hours %d Minutes %d Second\
s
", hours_int, minutes_int, sec_int)
elif 0 < minutes_int then printf(" = %d Minutes %d Seconds
", minutes_int, sec_int)
else printf(" = %d Seconds
", sec_int)
end if
else printf(" Unknown
")
end if
end proc
> # End Function number 12
> # Begin Function number 13
> ats := proc(mmm_ats,arr_a,arr_b,jjj_ats)
> local iii_ats, lll_ats,ma_ats, ret_ats;
> ret_ats := 0.0;
> if (jjj_ats <= mmm_ats) then # if number 6
> ma_ats := mmm_ats + 1;
> iii_ats := jjj_ats;
> while (iii_ats <= mmm_ats) do # do number 1
> lll_ats := ma_ats - iii_ats;
> ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
> iii_ats := iii_ats + 1;
> od;# end do number 1
> fi;# end if 6;
> ret_ats;
> end;
ats := proc(mmm_ats, arr_a, arr_b, jjj_ats)
local iii_ats, lll_ats, ma_ats, ret_ats;
ret_ats := 0.;
if jjj_ats <= mmm_ats then
ma_ats := mmm_ats + 1;
iii_ats := jjj_ats;
while iii_ats <= mmm_ats do
lll_ats := ma_ats - iii_ats;
ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats];
iii_ats := iii_ats + 1
end do
end if;
ret_ats
end proc
> # End Function number 13
> # Begin Function number 14
> att := proc(mmm_att,arr_aa,arr_bb,jjj_att)
> global glob_max_terms;
> local al_att, iii_att,lll_att, ma_att, ret_att;
> ret_att := 0.0;
> if (jjj_att <= mmm_att) then # if number 6
> ma_att := mmm_att + 2;
> iii_att := jjj_att;
> while (iii_att <= mmm_att) do # do number 1
> lll_att := ma_att - iii_att;
> al_att := (lll_att - 1);
> if (lll_att <= glob_max_terms) then # if number 7
> ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att);
> fi;# end if 7;
> iii_att := iii_att + 1;
> od;# end do number 1;
> ret_att := ret_att / convfp(mmm_att) ;
> fi;# end if 6;
> ret_att;
> end;
att := proc(mmm_att, arr_aa, arr_bb, jjj_att)
local al_att, iii_att, lll_att, ma_att, ret_att;
global glob_max_terms;
ret_att := 0.;
if jjj_att <= mmm_att then
ma_att := mmm_att + 2;
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 :=
ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att)
end if;
iii_att := iii_att + 1
end do;
ret_att := ret_att/convfp(mmm_att)
end if;
ret_att
end proc
> # End Function number 14
> # Begin Function number 15
> display_pole_debug := proc(typ,m,radius,order2)
> global ALWAYS,glob_display_flag, glob_large_float, array_pole;
> if (typ = 1) then # if number 6
> omniout_str(ALWAYS,"Real");
> else
> omniout_str(ALWAYS,"Complex");
> fi;# end if 6;
> 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," ");
> end;
display_pole_debug := proc(typ, m, radius, order2)
global ALWAYS, glob_display_flag, glob_large_float, array_pole;
if typ = 1 then omniout_str(ALWAYS, "Real")
else omniout_str(ALWAYS, "Complex")
end if;
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,
" ")
end proc
> # End Function number 15
> # Begin Function number 16
> logditto := proc(file)
> fprintf(file,"");
> fprintf(file,"ditto");
> fprintf(file," | ");
> end;
logditto := proc(file)
fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, " | ")
end proc
> # End Function number 16
> # Begin Function number 17
> logitem_integer := proc(file,n)
> fprintf(file,"");
> fprintf(file,"%d",n);
> fprintf(file," | ");
> end;
logitem_integer := proc(file, n)
fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, " | ")
end proc
> # End Function number 17
> # Begin Function number 18
> logitem_str := proc(file,str)
> fprintf(file,"");
> fprintf(file,str);
> fprintf(file," | ");
> end;
logitem_str := proc(file, str)
fprintf(file, ""); fprintf(file, str); fprintf(file, " | ")
end proc
> # End Function number 18
> # Begin Function number 19
> logitem_good_digits := proc(file,rel_error)
> global glob_small_float;
> local good_digits;
> fprintf(file,"");
> if (rel_error <> -1.0) then # if number 6
> if (rel_error > + 0.0000000000000000000000000000000001) then # if number 7
> good_digits := 1-trunc(log10(rel_error));
> fprintf(file,"%d",good_digits);
> else
> good_digits := Digits;
> fprintf(file,"%d",good_digits);
> fi;# end if 7;
> else
> fprintf(file,"Unknown");
> fi;# end if 6;
> fprintf(file," | ");
> end;
logitem_good_digits := proc(file, rel_error)
local good_digits;
global glob_small_float;
fprintf(file, "");
if rel_error <> -1.0 then
if 0.1*10^(-33) < rel_error then
good_digits := 1 - trunc(log10(rel_error));
fprintf(file, "%d", good_digits)
else good_digits := Digits; fprintf(file, "%d", good_digits)
end if
else fprintf(file, "Unknown")
end if;
fprintf(file, " | ")
end proc
> # End Function number 19
> # Begin Function number 20
> log_revs := proc(file,revs)
> fprintf(file,revs);
> end;
log_revs := proc(file, revs) fprintf(file, revs) end proc
> # End Function number 20
> # Begin Function number 21
> logitem_float := proc(file,x)
> fprintf(file,"");
> fprintf(file,"%g",x);
> fprintf(file," | ");
> end;
logitem_float := proc(file, x)
fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, " | ")
end proc
> # End Function number 21
> # Begin Function number 22
> logitem_pole := proc(file,pole)
> fprintf(file,"");
> if (pole = 0) then # if number 6
> fprintf(file,"NA");
> elif
> (pole = 1) then # if number 7
> fprintf(file,"Real");
> elif
> (pole = 2) then # if number 8
> fprintf(file,"Complex");
> elif
> (pole = 4) then # if number 9
> fprintf(file,"Yes");
> else
> fprintf(file,"No");
> fi;# end if 9
> fprintf(file," | ");
> end;
logitem_pole := proc(file, pole)
fprintf(file, "");
if pole = 0 then fprintf(file, "NA")
elif pole = 1 then fprintf(file, "Real")
elif pole = 2 then fprintf(file, "Complex")
elif pole = 4 then fprintf(file, "Yes")
else fprintf(file, "No")
end if;
fprintf(file, " | ")
end proc
> # End Function number 22
> # Begin Function number 23
> logstart := proc(file)
> fprintf(file,"");
> end;
logstart := proc(file) fprintf(file, "
") end proc
> # End Function number 23
> # Begin Function number 24
> logend := proc(file)
> fprintf(file,"
\n");
> end;
logend := proc(file)
fprintf(file, "
")
end proc
> # End Function number 24
> # Begin Function number 25
> chk_data := proc()
> global glob_max_iter,ALWAYS, glob_max_terms;
> local errflag;
> errflag := false;
> if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 9
> omniout_str(ALWAYS,"Illegal max_terms = -- Using 30");
> glob_max_terms := 30;
> fi;# end if 9;
> if (glob_max_iter < 2) then # if number 9
> omniout_str(ALWAYS,"Illegal max_iter");
> errflag := true;
> fi;# end if 9;
> if (errflag) then # if number 9
> quit;
> fi;# end if 9
> end;
chk_data := proc()
local errflag;
global glob_max_iter, ALWAYS, glob_max_terms;
errflag := false;
if glob_max_terms < 15 or 512 < glob_max_terms then
omniout_str(ALWAYS, "Illegal max_terms = -- Using 30");
glob_max_terms := 30
end if;
if glob_max_iter < 2 then
omniout_str(ALWAYS, "Illegal max_iter"); errflag := true
end if;
if errflag then quit end if
end proc
> # End Function number 25
> # Begin Function number 26
> comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2)
> global glob_small_float;
> local ms2, rrr, sec_left, sub1, sub2;
> ;
> ms2 := clock_sec2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub1 = 0.0) then # if number 9
> sec_left := 0.0;
> else
> if (sub2 > 0.0) then # if number 10
> rrr := (sub1/sub2);
> sec_left := rrr * ms2 - ms2;
> else
> sec_left := 0.0;
> fi;# end if 10
> fi;# end if 9;
> sec_left;
> end;
comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2)
local ms2, rrr, sec_left, sub1, sub2;
global glob_small_float;
ms2 := clock_sec2;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if sub1 = 0. then sec_left := 0.
else
if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2
else sec_left := 0.
end if
end if;
sec_left
end proc
> # End Function number 26
> # Begin Function number 27
> comp_percent := proc(t_end2,t_start2, t2)
> global glob_small_float;
> local rrr, sub1, sub2;
> sub1 := (t_end2-t_start2);
> sub2 := (t2-t_start2);
> if (sub2 > glob_small_float) then # if number 9
> rrr := (100.0*sub2)/sub1;
> else
> rrr := 0.0;
> fi;# end if 9;
> rrr;
> end;
comp_percent := proc(t_end2, t_start2, t2)
local rrr, sub1, sub2;
global glob_small_float;
sub1 := t_end2 - t_start2;
sub2 := t2 - t_start2;
if glob_small_float < sub2 then rrr := 100.0*sub2/sub1
else rrr := 0.
end if;
rrr
end proc
> # End Function number 27
> # Begin Function number 28
> factorial_2 := proc(nnn)
> nnn!;
> end;
factorial_2 := proc(nnn) nnn! end proc
> # End Function number 28
> # Begin Function number 29
> factorial_1 := proc(nnn)
> global glob_max_terms,array_fact_1;
> local ret;
> if (nnn <= glob_max_terms) then # if number 9
> if (array_fact_1[nnn] = 0) then # if number 10
> ret := factorial_2(nnn);
> array_fact_1[nnn] := ret;
> else
> ret := array_fact_1[nnn];
> fi;# end if 10;
> else
> ret := factorial_2(nnn);
> fi;# end if 9;
> ret;
> end;
factorial_1 := proc(nnn)
local ret;
global glob_max_terms, array_fact_1;
if nnn <= glob_max_terms then
if array_fact_1[nnn] = 0 then
ret := factorial_2(nnn); array_fact_1[nnn] := ret
else ret := array_fact_1[nnn]
end if
else ret := factorial_2(nnn)
end if;
ret
end proc
> # End Function number 29
> # Begin Function number 30
> factorial_3 := proc(mmm,nnn)
> global glob_max_terms,array_fact_2;
> local ret;
> if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 9
> if (array_fact_2[mmm,nnn] = 0) then # if number 10
> ret := factorial_1(mmm)/factorial_1(nnn);
> array_fact_2[mmm,nnn] := ret;
> else
> ret := array_fact_2[mmm,nnn];
> fi;# end if 10;
> else
> ret := factorial_2(mmm)/factorial_2(nnn);
> fi;# end if 9;
> ret;
> end;
factorial_3 := proc(mmm, nnn)
local ret;
global glob_max_terms, array_fact_2;
if nnn <= glob_max_terms and mmm <= glob_max_terms then
if array_fact_2[mmm, nnn] = 0 then
ret := factorial_1(mmm)/factorial_1(nnn);
array_fact_2[mmm, nnn] := ret
else ret := array_fact_2[mmm, nnn]
end if
else ret := factorial_2(mmm)/factorial_2(nnn)
end if;
ret
end proc
> # End Function number 30
> # Begin Function number 31
> convfp := proc(mmm)
> (mmm);
> end;
convfp := proc(mmm) mmm end proc
> # End Function number 31
> # Begin Function number 32
> convfloat := proc(mmm)
> (mmm);
> end;
convfloat := proc(mmm) mmm end proc
> # End Function number 32
> # Begin Function number 33
> elapsed_time_seconds := proc()
> time();
> end;
elapsed_time_seconds := proc() time() end proc
> # End Function number 33
> # Begin Function number 34
> omniabs := proc(x)
> abs(x);
> end;
omniabs := proc(x) abs(x) end proc
> # End Function number 34
> # Begin Function number 35
> expt := proc(x,y)
> (x^y);
> end;
expt := proc(x, y) x^y end proc
> # End Function number 35
> # Begin Function number 36
> estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer)
> local desired_abs_gbl_error,range,estimated_steps,step_error;
> global glob_desired_digits_correct,ALWAYS;
> 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,"");
> estimated_steps := range / estimated_h;
> omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,"");
> step_error := omniabs(desired_abs_gbl_error / estimated_steps);
> omniout_float(ALWAYS,"step_error",32,step_error,32,"");
> (step_error);;
> end;
estimated_needed_step_error := proc(
x_start, x_end, estimated_h, estimated_answer)
local desired_abs_gbl_error, range, estimated_steps, step_error;
global glob_desired_digits_correct, ALWAYS;
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, "");
estimated_steps := range/estimated_h;
omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, "");
step_error := omniabs(desired_abs_gbl_error/estimated_steps);
omniout_float(ALWAYS, "step_error", 32, step_error, 32, "");
step_error
end proc
> # End Function number 36
> #END ATS LIBRARY BLOCK
> #BEGIN USER DEF BLOCK
> #BEGIN USER DEF BLOCK
> exact_soln_y := proc(x)
> return(cosh(2.0*x+3.0)/2.0);
> end;
exact_soln_y := proc(x) return cosh(2.0*x + 3.0)/2.0 end proc
> #END USER DEF BLOCK
> #END USER DEF BLOCK
> #END OUTFILE5
> # Begin Function number 2
> main := proc()
> #BEGIN OUTFIEMAIN
> local 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;
> global
> glob_max_terms,
> glob_iolevel,
> glob_yes_pole,
> glob_no_pole,
> glob_not_given,
> ALWAYS,
> INFO,
> DEBUGL,
> DEBUGMASSIVE,
> #Top Generate Globals Decl
> MAX_UNCHANGED,
> glob_check_sign,
> glob_desired_digits_correct,
> glob_max_estimated_step_error,
> glob_ratio_of_radius,
> glob_percent_done,
> glob_subiter_method,
> glob_total_exp_sec,
> glob_optimal_expect_sec,
> glob_html_log,
> glob_good_digits,
> glob_max_opt_iter,
> glob_dump,
> glob_djd_debug,
> glob_display_flag,
> glob_djd_debug2,
> glob_sec_in_minute,
> glob_min_in_hour,
> glob_hours_in_day,
> glob_days_in_year,
> glob_sec_in_hour,
> glob_sec_in_day,
> glob_sec_in_year,
> glob_almost_1,
> glob_clock_sec,
> glob_clock_start_sec,
> glob_not_yet_finished,
> glob_initial_pass,
> glob_not_yet_start_msg,
> glob_reached_optimal_h,
> glob_optimal_done,
> glob_disp_incr,
> glob_h,
> glob_max_h,
> glob_min_h,
> glob_type_given_pole,
> glob_large_float,
> glob_last_good_h,
> glob_look_poles,
> glob_neg_h,
> glob_display_interval,
> glob_next_display,
> glob_dump_analytic,
> glob_abserr,
> glob_relerr,
> glob_max_hours,
> glob_max_iter,
> glob_max_rel_trunc_err,
> glob_max_trunc_err,
> glob_no_eqs,
> glob_optimal_clock_start_sec,
> glob_optimal_start,
> glob_small_float,
> glob_smallish_float,
> glob_unchanged_h_cnt,
> glob_warned,
> glob_warned2,
> glob_max_sec,
> glob_orig_start_sec,
> glob_start,
> glob_curr_iter_when_opt,
> glob_current_iter,
> glob_iter,
> glob_normmax,
> glob_max_minutes,
> #Bottom Generate Globals Decl
> #BEGIN CONST
> array_const_1,
> array_const_0D0,
> array_const_2D0,
> array_const_3D0,
> #END CONST
> array_y_init,
> array_norms,
> array_fact_1,
> array_pole,
> array_real_pole,
> array_complex_pole,
> array_1st_rel_error,
> array_last_rel_error,
> array_type_pole,
> array_type_real_pole,
> array_type_complex_pole,
> array_y,
> array_x,
> array_tmp0,
> array_tmp1,
> array_tmp2,
> array_tmp3_g,
> array_tmp3,
> array_tmp4,
> array_m1,
> array_y_higher,
> array_y_higher_work,
> array_y_higher_work2,
> array_y_set_initial,
> array_poles,
> array_given_rad_poles,
> array_given_ord_poles,
> array_real_poles,
> array_complex_poles,
> array_fact_2,
> glob_last;
> glob_last;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> glob_iolevel := INFO;
> glob_max_terms := 30;
> glob_iolevel := 5;
> glob_yes_pole := 4;
> glob_no_pole := 3;
> glob_not_given := 0;
> ALWAYS := 1;
> INFO := 2;
> DEBUGL := 3;
> DEBUGMASSIVE := 4;
> MAX_UNCHANGED := 10;
> glob_check_sign := 1.0;
> glob_desired_digits_correct := 8.0;
> glob_max_estimated_step_error := 0.0;
> glob_ratio_of_radius := 0.1;
> glob_percent_done := 0.0;
> glob_subiter_method := 3;
> glob_total_exp_sec := 0.1;
> glob_optimal_expect_sec := 0.1;
> glob_html_log := true;
> glob_good_digits := 0;
> glob_max_opt_iter := 10;
> glob_dump := false;
> glob_djd_debug := true;
> glob_display_flag := true;
> glob_djd_debug2 := true;
> glob_sec_in_minute := 60;
> glob_min_in_hour := 60;
> glob_hours_in_day := 24;
> glob_days_in_year := 365;
> glob_sec_in_hour := 3600;
> glob_sec_in_day := 86400;
> glob_sec_in_year := 31536000;
> glob_almost_1 := 0.9990;
> glob_clock_sec := 0.0;
> glob_clock_start_sec := 0.0;
> glob_not_yet_finished := true;
> glob_initial_pass := true;
> glob_not_yet_start_msg := true;
> glob_reached_optimal_h := false;
> glob_optimal_done := false;
> glob_disp_incr := 0.1;
> glob_h := 0.1;
> glob_max_h := 0.1;
> glob_min_h := 0.000001;
> glob_type_given_pole := 0;
> glob_large_float := 9.0e100;
> glob_last_good_h := 0.1;
> glob_look_poles := false;
> glob_neg_h := false;
> glob_display_interval := 0.0;
> glob_next_display := 0.0;
> glob_dump_analytic := false;
> glob_abserr := 0.1e-10;
> glob_relerr := 0.1e-10;
> glob_max_hours := 0.0;
> glob_max_iter := 1000;
> glob_max_rel_trunc_err := 0.1e-10;
> glob_max_trunc_err := 0.1e-10;
> glob_no_eqs := 0;
> glob_optimal_clock_start_sec := 0.0;
> glob_optimal_start := 0.0;
> glob_small_float := 0.0;
> glob_smallish_float := 0.0;
> glob_unchanged_h_cnt := 0;
> glob_warned := false;
> glob_warned2 := false;
> glob_max_sec := 10000.0;
> glob_orig_start_sec := 0.0;
> glob_start := 0;
> glob_curr_iter_when_opt := 0;
> glob_current_iter := 0;
> glob_iter := 0;
> glob_normmax := 0.0;
> glob_max_minutes := 0.0;
> #Write Set Defaults
> glob_orig_start_sec := elapsed_time_seconds();
> MAX_UNCHANGED := 10;
> glob_curr_iter_when_opt := 0;
> glob_display_flag := true;
> glob_no_eqs := 1;
> glob_iter := -1;
> opt_iter := -1;
> glob_max_iter := 50000;
> glob_max_hours := 0.0;
> glob_max_minutes := 15.0;
> omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################");
> omniout_str(ALWAYS,"##############temp/lin_sinhpostode.ode#################");
> omniout_str(ALWAYS,"diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"Digits:=32;");
> omniout_str(ALWAYS,"max_terms:=30;");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#END FIRST INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"x_start := 0.0;");
> omniout_str(ALWAYS,"x_end := 10.0 ;");
> omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);");
> omniout_str(ALWAYS,"glob_look_poles := true;");
> omniout_str(ALWAYS,"glob_max_iter := 10;");
> omniout_str(ALWAYS,"#END SECOND INPUT BLOCK");
> omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK");
> omniout_str(ALWAYS,"glob_desired_digits_correct:=10;");
> omniout_str(ALWAYS,"glob_display_interval:=0.01;");
> omniout_str(ALWAYS,"glob_look_poles:=true;");
> omniout_str(ALWAYS,"glob_max_iter:=10000000;");
> omniout_str(ALWAYS,"glob_max_minutes:=3;");
> omniout_str(ALWAYS,"glob_subiter_method:=3;");
> omniout_str(ALWAYS,"#END OVERRIDE BLOCK");
> omniout_str(ALWAYS,"!");
> omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK");
> omniout_str(ALWAYS,"exact_soln_y := proc(x)");
> omniout_str(ALWAYS,"return(cosh(2.0*x+3.0)/2.0);");
> omniout_str(ALWAYS,"end;");
> 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 := 1.0e100;
> glob_almost_1 := 0.99;
> #BEGIN FIRST INPUT BLOCK
> #BEGIN FIRST INPUT BLOCK
> Digits:=32;
> max_terms:=30;
> #END FIRST INPUT BLOCK
> #START OF INITS AFTER INPUT BLOCK
> glob_max_terms := max_terms;
> glob_html_log := true;
> #END OF INITS AFTER INPUT BLOCK
> array_y_init:= Array(0..(max_terms + 1),[]);
> array_norms:= Array(0..(max_terms + 1),[]);
> array_fact_1:= Array(0..(max_terms + 1),[]);
> array_pole:= Array(0..(4 + 1),[]);
> array_real_pole:= Array(0..(4 + 1),[]);
> array_complex_pole:= Array(0..(4 + 1),[]);
> array_1st_rel_error:= Array(0..(2 + 1),[]);
> array_last_rel_error:= Array(0..(2 + 1),[]);
> array_type_pole:= Array(0..(2 + 1),[]);
> array_type_real_pole:= Array(0..(2 + 1),[]);
> array_type_complex_pole:= Array(0..(2 + 1),[]);
> array_y:= Array(0..(max_terms + 1),[]);
> array_x:= Array(0..(max_terms + 1),[]);
> array_tmp0:= Array(0..(max_terms + 1),[]);
> array_tmp1:= Array(0..(max_terms + 1),[]);
> array_tmp2:= Array(0..(max_terms + 1),[]);
> array_tmp3_g:= Array(0..(max_terms + 1),[]);
> array_tmp3:= Array(0..(max_terms + 1),[]);
> array_tmp4:= Array(0..(max_terms + 1),[]);
> array_m1:= Array(0..(max_terms + 1),[]);
> array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]);
> array_poles := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_given_rad_poles := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_given_ord_poles := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_real_poles := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_complex_poles := Array(0..(2+ 1) ,(0..3+ 1),[]);
> array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 1
> array_y_init[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_norms[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_fact_1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 4) do # do number 1
> array_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 4) do # do number 1
> array_real_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 4) do # do number 1
> array_complex_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 2) do # do number 1
> array_1st_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 2) do # do number 1
> array_last_rel_error[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 2) do # do number 1
> array_type_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 2) do # do number 1
> array_type_real_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= 2) do # do number 1
> array_type_complex_pole[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp3_g[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> term := 1;
> while (term <= max_terms) do # do number 1
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_higher[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_higher_work[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_higher_work2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= max_terms) do # do number 2
> array_y_set_initial[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= 3) do # do number 2
> array_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= 3) do # do number 2
> array_given_rad_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= 3) do # do number 2
> array_given_ord_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= 3) do # do number 2
> array_real_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=2) do # do number 1
> term := 1;
> while (term <= 3) do # do number 2
> array_complex_poles[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> ord := 1;
> while (ord <=max_terms) do # do number 1
> term := 1;
> while (term <= max_terms) do # do number 2
> array_fact_2[ord,term] := 0.0;
> term := term + 1;
> od;# end do number 2;
> ord := ord + 1;
> od;# end do number 1;
> #BEGIN ARRAYS DEFINED AND INITIALIZATED
> array_y := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_y[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_x := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_x[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp0[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp2 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp2[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp3_g := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp3_g[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp3 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp3[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_tmp4 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_tmp4[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_const_1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_const_1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_const_1[1] := 1;
> array_const_0D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_const_0D0[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_const_0D0[1] := 0.0;
> array_const_2D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_const_2D0[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_const_2D0[1] := 2.0;
> array_const_3D0 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms + 1) do # do number 1
> array_const_3D0[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_const_3D0[1] := 3.0;
> array_m1 := Array(1..(max_terms+1 + 1),[]);
> term := 1;
> while (term <= max_terms) do # do number 1
> array_m1[term] := 0.0;
> term := term + 1;
> od;# end do number 1;
> array_m1[1] := -1.0;
> #END ARRAYS DEFINED AND INITIALIZATED
> #Initing Factorial Tables
> iiif := 0;
> while (iiif <= glob_max_terms) do # do number 1
> jjjf := 0;
> while (jjjf <= glob_max_terms) do # do number 2
> array_fact_1[iiif] := 0;
> array_fact_2[iiif,jjjf] := 0;
> jjjf := jjjf + 1;
> od;# end do number 2;
> iiif := iiif + 1;
> od;# end do number 1;
> #Done Initing Factorial Tables
> #TOP SECOND INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> #END FIRST INPUT BLOCK
> #BEGIN SECOND INPUT BLOCK
> x_start := 0.0;
> x_end := 10.0 ;
> array_y_init[0 + 1] := exact_soln_y(x_start);
> glob_look_poles := true;
> glob_max_iter := 10;
> #END SECOND INPUT BLOCK
> #BEGIN OVERRIDE BLOCK
> glob_desired_digits_correct:=10;
> glob_display_interval:=0.01;
> glob_look_poles:=true;
> glob_max_iter:=10000000;
> glob_max_minutes:=3;
> glob_subiter_method:=3;
> #END OVERRIDE BLOCK
> #END SECOND INPUT BLOCK
> #BEGIN INITS AFTER SECOND INPUT BLOCK
> glob_last_good_h := glob_h;
> glob_max_terms := max_terms;
> glob_max_sec := convfloat(60.0) * convfloat(glob_max_minutes) + convfloat(3600.0) * convfloat(glob_max_hours);
> if (glob_h > 0.0) then # if number 1
> glob_neg_h := false;
> glob_display_interval := omniabs(glob_display_interval);
> else
> glob_neg_h := true;
> glob_display_interval := -omniabs(glob_display_interval);
> fi;# end if 1;
> chk_data();
> #AFTER INITS AFTER SECOND INPUT BLOCK
> array_y_set_initial[1,1] := true;
> array_y_set_initial[1,2] := false;
> array_y_set_initial[1,3] := false;
> array_y_set_initial[1,4] := false;
> array_y_set_initial[1,5] := false;
> array_y_set_initial[1,6] := false;
> array_y_set_initial[1,7] := false;
> array_y_set_initial[1,8] := false;
> array_y_set_initial[1,9] := false;
> array_y_set_initial[1,10] := false;
> array_y_set_initial[1,11] := false;
> array_y_set_initial[1,12] := false;
> array_y_set_initial[1,13] := false;
> array_y_set_initial[1,14] := false;
> array_y_set_initial[1,15] := false;
> array_y_set_initial[1,16] := false;
> array_y_set_initial[1,17] := false;
> array_y_set_initial[1,18] := false;
> array_y_set_initial[1,19] := false;
> array_y_set_initial[1,20] := false;
> array_y_set_initial[1,21] := false;
> array_y_set_initial[1,22] := false;
> array_y_set_initial[1,23] := false;
> array_y_set_initial[1,24] := false;
> array_y_set_initial[1,25] := false;
> array_y_set_initial[1,26] := false;
> array_y_set_initial[1,27] := false;
> array_y_set_initial[1,28] := false;
> array_y_set_initial[1,29] := false;
> array_y_set_initial[1,30] := false;
> #BEGIN OPTIMIZE CODE
> omniout_str(ALWAYS,"START of Optimize");
> #Start Series -- INITIALIZE FOR OPTIMIZE
> 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 # if number 4
> glob_h := glob_max_h;
> fi;# end if 4;
> if (glob_display_interval < glob_h) then # if number 4
> glob_h := glob_display_interval;
> fi;# end if 4;
> 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 # do number 1
> omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,"");
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 2
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 2;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 2
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 3
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 3;
> r_order := r_order + 1;
> od;# end do number 2
> ;
> 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 # if number 4
> found_h := true;
> glob_h := glob_max_h;
> best_h := glob_h;
> elif
> ((estimated_step_error > est_needed_step_err) and ( not found_h)) then # if number 5
> glob_h := glob_h/2.0;
> best_h := glob_h;
> found_h := true;
> else
> glob_h := glob_h*2.0;
> best_h := glob_h;
> fi;# end if 5;
> omniout_float(ALWAYS,"best_h",32,best_h,32,"");
> opt_iter := opt_iter + 1;
> od;# end do number 1;
> if (( not found_h) and (opt_iter = 1)) then # if number 5
> omniout_str(ALWAYS,"Beginning glob_h too large.");
> found_h := false;
> fi;# end if 5;
> if (opt_iter > 100) then # if number 5
> glob_h := glob_max_h;
> found_h := false;
> fi;# end if 5;
> if (glob_display_interval < glob_h) then # if number 5
> glob_h := glob_display_interval;
> fi;# end if 5;
> #END OPTIMIZE CODE
> if (glob_html_log) then # if number 5
> html_log_file := fopen("entry.html",WRITE,TEXT);
> fi;# end if 5;
> #BEGIN SOLUTION CODE
> if (found_h) then # if number 5
> omniout_str(ALWAYS,"START of Soultion");
> #Start Series -- INITIALIZE FOR SOLUTION
> array_x[1] := x_start;
> array_x[2] := glob_h;
> glob_next_display := x_start;
> order_diff := 1;
> #Start Series array_y
> term_no := 1;
> while (term_no <= order_diff) do # do number 1
> array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1);
> term_no := term_no + 1;
> od;# end do number 1;
> rows := order_diff;
> r_order := 1;
> while (r_order <= rows) do # do number 1
> term_no := 1;
> while (term_no <= (rows - r_order + 1)) do # do number 2
> it := term_no + r_order - 1;
> array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1)));
> term_no := term_no + 1;
> od;# end do number 2;
> r_order := r_order + 1;
> od;# end do number 1
> ;
> current_iter := 1;
> glob_clock_start_sec := elapsed_time_seconds();
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := 0;
> glob_iter := 0;
> omniout_str(DEBUGL," ");
> glob_reached_optimal_h := true;
> glob_optimal_clock_start_sec := elapsed_time_seconds();
> while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 1
> #left paren 0001C
> if (reached_interval()) then # if number 6
> omniout_str(INFO," ");
> omniout_str(INFO,"TOP MAIN SOLVE Loop");
> fi;# end if 6;
> glob_iter := glob_iter + 1;
> glob_clock_sec := elapsed_time_seconds();
> glob_current_iter := glob_current_iter + 1;
> atomall();
> display_alot(current_iter);
> if (glob_look_poles) then # if number 6
> #left paren 0004C
> check_for_pole();
> fi;# end if 6;#was right paren 0004C
> if (reached_interval()) then # if number 6
> glob_next_display := glob_next_display + glob_display_interval;
> fi;# end if 6;
> array_x[1] := array_x[1] + glob_h;
> array_x[2] := glob_h;
> #Jump Series array_y;
> order_diff := 2;
> #START PART 1 SUM AND ADJUST
> #START SUM AND ADJUST EQ =1
> #sum_and_adjust array_y
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 2;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 2
> array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 2;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 2;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 2
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 2;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 2;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 2
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 2;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 2;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 2
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 2;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #BEFORE ADJUST SUBSERIES EQ =1
> ord := 1;
> calc_term := 1;
> #adjust_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 2
> array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1);
> iii := iii - 1;
> od;# end do number 2;
> #AFTER ADJUST SUBSERIES EQ =1
> #BEFORE SUM SUBSERIES EQ =1
> temp_sum := 0.0;
> ord := 1;
> calc_term := 1;
> #sum_subseriesarray_y
> iii := glob_max_terms;
> while (iii >= calc_term) do # do number 2
> temp_sum := temp_sum + array_y_higher_work[ord,iii];
> iii := iii - 1;
> od;# end do number 2;
> array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1));
> #AFTER SUM SUBSERIES EQ =1
> #END SUM AND ADJUST EQ =1
> #END PART 1
> #START PART 2 MOVE TERMS to REGULAR Array
> term_no := glob_max_terms;
> while (term_no >= 1) do # do number 2
> array_y[term_no] := array_y_higher_work2[1,term_no];
> ord := 1;
> while (ord <= order_diff) do # do number 3
> array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no];
> ord := ord + 1;
> od;# end do number 3;
> term_no := term_no - 1;
> od;# end do number 2;
> #END PART 2 HEVE MOVED TERMS to REGULAR Array
> ;
> od;# end do number 1;#right paren 0001C
> omniout_str(ALWAYS,"Finished!");
> if (glob_iter >= glob_max_iter) then # if number 6
> omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!");
> fi;# end if 6;
> if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 6
> omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!");
> fi;# end if 6;
> glob_clock_sec := elapsed_time_seconds();
> omniout_str(INFO,"diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;");
> omniout_int(INFO,"Iterations ",32,glob_iter,4," ")
> ;
> prog_report(x_start,x_end);
> if (glob_html_log) then # if number 6
> logstart(html_log_file);
> logitem_str(html_log_file,"2013-05-26T02:44:11-05:00")
> ;
> logitem_str(html_log_file,"Maple")
> ;
> logitem_str(html_log_file,"lin_sinh")
> ;
> logitem_str(html_log_file,"diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;")
> ;
> logitem_float(html_log_file,x_start)
> ;
> logitem_float(html_log_file,x_end)
> ;
> logitem_float(html_log_file,array_x[1])
> ;
> logitem_float(html_log_file,glob_h)
> ;
> logitem_integer(html_log_file,Digits)
> ;
> ;
> logitem_good_digits(html_log_file,array_last_rel_error[1])
> ;
> logitem_integer(html_log_file,glob_max_terms)
> ;
> 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 # if number 7
> logitem_time(html_log_file,convfloat(glob_total_exp_sec))
> ;
> 0;
> else
> logitem_str(html_log_file,"Done")
> ;
> 0;
> fi;# end if 7;
> log_revs(html_log_file," 189 | ")
> ;
> logitem_str(html_log_file,"lin_sinh diffeq.mxt")
> ;
> logitem_str(html_log_file,"lin_sinh maple results")
> ;
> logitem_str(html_log_file,"All Tests - All Languages")
> ;
> logend(html_log_file)
> ;
> ;
> fi;# end if 6;
> if (glob_html_log) then # if number 6
> fclose(html_log_file);
> fi;# end if 6
> ;
> ;;
> fi;# end if 5
> #END OUTFILEMAIN
> end;
main := proc()
local 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;
global glob_max_terms, glob_iolevel, glob_yes_pole, glob_no_pole,
glob_not_given, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED,
glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error,
glob_ratio_of_radius, glob_percent_done, glob_subiter_method,
glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log,
glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug,
glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour,
glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day,
glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec,
glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg,
glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h,
glob_max_h, glob_min_h, glob_type_given_pole, glob_large_float,
glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval,
glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr,
glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err,
glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start,
glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned,
glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start,
glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax,
glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0,
array_const_3D0, array_y_init, array_norms, array_fact_1, array_pole,
array_real_pole, array_complex_pole, array_1st_rel_error,
array_last_rel_error, array_type_pole, array_type_real_pole,
array_type_complex_pole, array_y, array_x, array_tmp0, array_tmp1,
array_tmp2, array_tmp3_g, array_tmp3, array_tmp4, array_m1, array_y_higher,
array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles,
array_given_rad_poles, array_given_ord_poles, array_real_poles,
array_complex_poles, array_fact_2, glob_last;
glob_last;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
glob_iolevel := INFO;
glob_max_terms := 30;
glob_iolevel := 5;
glob_yes_pole := 4;
glob_no_pole := 3;
glob_not_given := 0;
ALWAYS := 1;
INFO := 2;
DEBUGL := 3;
DEBUGMASSIVE := 4;
MAX_UNCHANGED := 10;
glob_check_sign := 1.0;
glob_desired_digits_correct := 8.0;
glob_max_estimated_step_error := 0.;
glob_ratio_of_radius := 0.1;
glob_percent_done := 0.;
glob_subiter_method := 3;
glob_total_exp_sec := 0.1;
glob_optimal_expect_sec := 0.1;
glob_html_log := true;
glob_good_digits := 0;
glob_max_opt_iter := 10;
glob_dump := false;
glob_djd_debug := true;
glob_display_flag := true;
glob_djd_debug2 := true;
glob_sec_in_minute := 60;
glob_min_in_hour := 60;
glob_hours_in_day := 24;
glob_days_in_year := 365;
glob_sec_in_hour := 3600;
glob_sec_in_day := 86400;
glob_sec_in_year := 31536000;
glob_almost_1 := 0.9990;
glob_clock_sec := 0.;
glob_clock_start_sec := 0.;
glob_not_yet_finished := true;
glob_initial_pass := true;
glob_not_yet_start_msg := true;
glob_reached_optimal_h := false;
glob_optimal_done := false;
glob_disp_incr := 0.1;
glob_h := 0.1;
glob_max_h := 0.1;
glob_min_h := 0.1*10^(-5);
glob_type_given_pole := 0;
glob_large_float := 0.90*10^101;
glob_last_good_h := 0.1;
glob_look_poles := false;
glob_neg_h := false;
glob_display_interval := 0.;
glob_next_display := 0.;
glob_dump_analytic := false;
glob_abserr := 0.1*10^(-10);
glob_relerr := 0.1*10^(-10);
glob_max_hours := 0.;
glob_max_iter := 1000;
glob_max_rel_trunc_err := 0.1*10^(-10);
glob_max_trunc_err := 0.1*10^(-10);
glob_no_eqs := 0;
glob_optimal_clock_start_sec := 0.;
glob_optimal_start := 0.;
glob_small_float := 0.;
glob_smallish_float := 0.;
glob_unchanged_h_cnt := 0;
glob_warned := false;
glob_warned2 := false;
glob_max_sec := 10000.0;
glob_orig_start_sec := 0.;
glob_start := 0;
glob_curr_iter_when_opt := 0;
glob_current_iter := 0;
glob_iter := 0;
glob_normmax := 0.;
glob_max_minutes := 0.;
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.;
glob_max_minutes := 15.0;
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################");
omniout_str(ALWAYS,
"##############temp/lin_sinhpostode.ode#################");
omniout_str(ALWAYS, "diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK");
omniout_str(ALWAYS, "Digits:=32;");
omniout_str(ALWAYS, "max_terms:=30;");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#END FIRST INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK");
omniout_str(ALWAYS, "x_start := 0.0;");
omniout_str(ALWAYS, "x_end := 10.0 ;");
omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);");
omniout_str(ALWAYS, "glob_look_poles := true;");
omniout_str(ALWAYS, "glob_max_iter := 10;");
omniout_str(ALWAYS, "#END SECOND INPUT BLOCK");
omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK");
omniout_str(ALWAYS, "glob_desired_digits_correct:=10;");
omniout_str(ALWAYS, "glob_display_interval:=0.01;");
omniout_str(ALWAYS, "glob_look_poles:=true;");
omniout_str(ALWAYS, "glob_max_iter:=10000000;");
omniout_str(ALWAYS, "glob_max_minutes:=3;");
omniout_str(ALWAYS, "glob_subiter_method:=3;");
omniout_str(ALWAYS, "#END OVERRIDE BLOCK");
omniout_str(ALWAYS, "!");
omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK");
omniout_str(ALWAYS, "exact_soln_y := proc(x)");
omniout_str(ALWAYS, "return(cosh(2.0*x+3.0)/2.0);");
omniout_str(ALWAYS, "end;");
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.;
glob_smallish_float := 0.;
glob_large_float := 0.10*10^101;
glob_almost_1 := 0.99;
Digits := 32;
max_terms := 30;
glob_max_terms := max_terms;
glob_html_log := true;
array_y_init := Array(0 .. max_terms + 1, []);
array_norms := Array(0 .. max_terms + 1, []);
array_fact_1 := Array(0 .. max_terms + 1, []);
array_pole := Array(0 .. 5, []);
array_real_pole := Array(0 .. 5, []);
array_complex_pole := Array(0 .. 5, []);
array_1st_rel_error := Array(0 .. 3, []);
array_last_rel_error := Array(0 .. 3, []);
array_type_pole := Array(0 .. 3, []);
array_type_real_pole := Array(0 .. 3, []);
array_type_complex_pole := Array(0 .. 3, []);
array_y := Array(0 .. max_terms + 1, []);
array_x := Array(0 .. max_terms + 1, []);
array_tmp0 := Array(0 .. max_terms + 1, []);
array_tmp1 := Array(0 .. max_terms + 1, []);
array_tmp2 := Array(0 .. max_terms + 1, []);
array_tmp3_g := Array(0 .. max_terms + 1, []);
array_tmp3 := Array(0 .. max_terms + 1, []);
array_tmp4 := Array(0 .. max_terms + 1, []);
array_m1 := Array(0 .. max_terms + 1, []);
array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []);
array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []);
array_poles := Array(0 .. 3, 0 .. 4, []);
array_given_rad_poles := Array(0 .. 3, 0 .. 4, []);
array_given_ord_poles := Array(0 .. 3, 0 .. 4, []);
array_real_poles := Array(0 .. 3, 0 .. 4, []);
array_complex_poles := Array(0 .. 3, 0 .. 4, []);
array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []);
term := 1;
while term <= max_terms do array_y_init[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_norms[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_fact_1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= 4 do array_pole[term] := 0.; term := term + 1 end do;
term := 1;
while term <= 4 do array_real_pole[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= 4 do array_complex_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= 2 do array_1st_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= 2 do array_last_rel_error[term] := 0.; term := term + 1
end do;
term := 1;
while term <= 2 do array_type_pole[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= 2 do array_type_real_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= 2 do
array_type_complex_pole[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_y[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_x[term] := 0.; term := term + 1 end do
;
term := 1;
while term <= max_terms do array_tmp0[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp1[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp2[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3_g[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp3[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_tmp4[term] := 0.; term := term + 1
end do;
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_higher_work2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= max_terms do
array_y_set_initial[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= 3 do array_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= 3 do
array_given_rad_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= 3 do
array_given_ord_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= 3 do
array_real_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= 2 do
term := 1;
while term <= 3 do
array_complex_poles[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
ord := 1;
while ord <= max_terms do
term := 1;
while term <= max_terms do
array_fact_2[ord, term] := 0.; term := term + 1
end do;
ord := ord + 1
end do;
array_y := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1
end do;
array_x := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1
end do;
array_tmp0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1
end do;
array_tmp1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1
end do;
array_tmp2 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1
end do;
array_tmp3_g := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_tmp3_g[term] := 0.; term := term + 1
end do;
array_tmp3 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1
end do;
array_tmp4 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1
end do;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1
end do;
array_const_1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_1[term] := 0.; term := term + 1
end do;
array_const_1[1] := 1;
array_const_0D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_0D0[term] := 0.; term := term + 1
end do;
array_const_0D0[1] := 0.;
array_const_2D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_2D0[term] := 0.; term := term + 1
end do;
array_const_2D0[1] := 2.0;
array_const_3D0 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms + 1 do
array_const_3D0[term] := 0.; term := term + 1
end do;
array_const_3D0[1] := 3.0;
array_m1 := Array(1 .. max_terms + 2, []);
term := 1;
while term <= max_terms do array_m1[term] := 0.; term := term + 1
end do;
array_m1[1] := -1.0;
iiif := 0;
while iiif <= glob_max_terms do
jjjf := 0;
while jjjf <= glob_max_terms do
array_fact_1[iiif] := 0;
array_fact_2[iiif, jjjf] := 0;
jjjf := jjjf + 1
end do;
iiif := iiif + 1
end do;
x_start := 0.;
x_end := 10.0;
array_y_init[1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 10;
glob_desired_digits_correct := 10;
glob_display_interval := 0.01;
glob_look_poles := true;
glob_max_iter := 10000000;
glob_max_minutes := 3;
glob_subiter_method := 3;
glob_last_good_h := glob_h;
glob_max_terms := max_terms;
glob_max_sec := convfloat(60.0)*convfloat(glob_max_minutes)
+ convfloat(3600.0)*convfloat(glob_max_hours);
if 0. < glob_h then
glob_neg_h := false;
glob_display_interval := omniabs(glob_display_interval)
else
glob_neg_h := true;
glob_display_interval := -omniabs(glob_display_interval)
end if;
chk_data();
array_y_set_initial[1, 1] := true;
array_y_set_initial[1, 2] := false;
array_y_set_initial[1, 3] := false;
array_y_set_initial[1, 4] := false;
array_y_set_initial[1, 5] := false;
array_y_set_initial[1, 6] := false;
array_y_set_initial[1, 7] := false;
array_y_set_initial[1, 8] := false;
array_y_set_initial[1, 9] := false;
array_y_set_initial[1, 10] := false;
array_y_set_initial[1, 11] := false;
array_y_set_initial[1, 12] := false;
array_y_set_initial[1, 13] := false;
array_y_set_initial[1, 14] := false;
array_y_set_initial[1, 15] := false;
array_y_set_initial[1, 16] := false;
array_y_set_initial[1, 17] := false;
array_y_set_initial[1, 18] := false;
array_y_set_initial[1, 19] := false;
array_y_set_initial[1, 20] := false;
array_y_set_initial[1, 21] := false;
array_y_set_initial[1, 22] := false;
array_y_set_initial[1, 23] := false;
array_y_set_initial[1, 24] := false;
array_y_set_initial[1, 25] := false;
array_y_set_initial[1, 26] := false;
array_y_set_initial[1, 27] := false;
array_y_set_initial[1, 28] := false;
array_y_set_initial[1, 29] := false;
array_y_set_initial[1, 30] := false;
omniout_str(ALWAYS, "START of Optimize");
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 end if;
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
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.;
while opt_iter <= 100 and not found_h do
omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, "");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
atomall();
estimated_step_error := test_suggested_h();
omniout_float(ALWAYS, "estimated_step_error", 32,
estimated_step_error, 32, "");
if est_needed_step_err < estimated_step_error and opt_iter = 1 or
glob_max_h <= glob_h then
found_h := true; glob_h := glob_max_h; best_h := glob_h
elif est_needed_step_err < estimated_step_error and not found_h
then glob_h := glob_h/2.0; best_h := glob_h; found_h := true
else glob_h := glob_h*2.0; best_h := glob_h
end if;
omniout_float(ALWAYS, "best_h", 32, best_h, 32, "");
opt_iter := opt_iter + 1
end do;
if not found_h and opt_iter = 1 then
omniout_str(ALWAYS, "Beginning glob_h too large.");
found_h := false
end if;
if 100 < opt_iter then glob_h := glob_max_h; found_h := false end if;
if glob_display_interval < glob_h then glob_h := glob_display_interval
end if;
if glob_html_log then html_log_file := fopen("entry.html", WRITE, TEXT)
end if;
if found_h then
omniout_str(ALWAYS, "START of Soultion");
array_x[1] := x_start;
array_x[2] := glob_h;
glob_next_display := x_start;
order_diff := 1;
term_no := 1;
while term_no <= order_diff do
array_y[term_no] := array_y_init[term_no]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
rows := order_diff;
r_order := 1;
while r_order <= rows do
term_no := 1;
while term_no <= rows - r_order + 1 do
it := term_no + r_order - 1;
array_y_higher[r_order, term_no] := array_y_init[it]*
expt(glob_h, term_no - 1)/factorial_1(term_no - 1);
term_no := term_no + 1
end do;
r_order := r_order + 1
end do;
current_iter := 1;
glob_clock_start_sec := elapsed_time_seconds();
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := 0;
glob_iter := 0;
omniout_str(DEBUGL, " ");
glob_reached_optimal_h := true;
glob_optimal_clock_start_sec := elapsed_time_seconds();
while glob_current_iter < glob_max_iter and
glob_check_sign*array_x[1] < glob_check_sign*x_end and
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")
end if;
glob_iter := glob_iter + 1;
glob_clock_sec := elapsed_time_seconds();
glob_current_iter := glob_current_iter + 1;
atomall();
display_alot(current_iter);
if glob_look_poles then check_for_pole() end if;
if reached_interval() then glob_next_display :=
glob_next_display + glob_display_interval
end if;
array_x[1] := array_x[1] + glob_h;
array_x[2] := glob_h;
order_diff := 2;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[2, iii] := array_y_higher[2, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 2;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 2;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
array_y_higher_work[1, iii] := array_y_higher[1, iii]/(
expt(glob_h, calc_term - 1)*
factorial_3(iii - calc_term, iii - 1));
iii := iii - 1
end do;
temp_sum := 0.;
ord := 1;
calc_term := 1;
iii := glob_max_terms;
while calc_term <= iii do
temp_sum := temp_sum + array_y_higher_work[ord, iii];
iii := iii - 1
end do;
array_y_higher_work2[ord, calc_term] := temp_sum*
expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1);
term_no := glob_max_terms;
while 1 <= term_no do
array_y[term_no] := array_y_higher_work2[1, term_no];
ord := 1;
while ord <= order_diff do
array_y_higher[ord, term_no] :=
array_y_higher_work2[ord, term_no];
ord := ord + 1
end do;
term_no := term_no - 1
end do
end do;
omniout_str(ALWAYS, "Finished!");
if glob_max_iter <= glob_iter then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!")
end if;
if convfloat(glob_max_sec) <=
elapsed_time_seconds() - convfloat(glob_orig_start_sec) then
omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!")
end if;
glob_clock_sec := elapsed_time_seconds();
omniout_str(INFO, "diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;");
omniout_int(INFO, "Iterations ", 32,
glob_iter, 4, " ");
prog_report(x_start, x_end);
if glob_html_log then
logstart(html_log_file);
logitem_str(html_log_file, "2013-05-26T02:44:11-05:00");
logitem_str(html_log_file, "Maple");
logitem_str(html_log_file,
"lin_sinh");
logitem_str(html_log_file,
"diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;");
logitem_float(html_log_file, x_start);
logitem_float(html_log_file, x_end);
logitem_float(html_log_file, array_x[1]);
logitem_float(html_log_file, glob_h);
logitem_integer(html_log_file, Digits);
logitem_good_digits(html_log_file, array_last_rel_error[1]);
logitem_integer(html_log_file, glob_max_terms);
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
end if;
log_revs(html_log_file, " 189 | ");
logitem_str(html_log_file,
"lin_sinh diffeq.mxt")
;
logitem_str(html_log_file, "lin_sinh maple results");
logitem_str(html_log_file, "All Tests - All Languages");
logend(html_log_file)
end if;
if glob_html_log then fclose(html_log_file) end if
end if
end proc
> # End Function number 13
> main();
##############ECHO OF PROBLEM#################
##############temp/lin_sinhpostode.ode#################
diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;
!
#BEGIN FIRST INPUT BLOCK
Digits:=32;
max_terms:=30;
!
#END FIRST INPUT BLOCK
#BEGIN SECOND INPUT BLOCK
x_start := 0.0;
x_end := 10.0 ;
array_y_init[0 + 1] := exact_soln_y(x_start);
glob_look_poles := true;
glob_max_iter := 10;
#END SECOND INPUT BLOCK
#BEGIN OVERRIDE BLOCK
glob_desired_digits_correct:=10;
glob_display_interval:=0.01;
glob_look_poles:=true;
glob_max_iter:=10000000;
glob_max_minutes:=3;
glob_subiter_method:=3;
#END OVERRIDE BLOCK
!
#BEGIN USER DEF BLOCK
exact_soln_y := proc(x)
return(cosh(2.0*x+3.0)/2.0);
end;
#END USER DEF BLOCK
#######END OF ECHO OF PROBLEM#################
START of Optimize
min_size = 0
min_size = 1
glob_desired_digits_correct = 10
desired_abs_gbl_error = 1.0000000000000000000000000000000e-10
range = 10
estimated_steps = 10000000
step_error = 1.0000000000000000000000000000000e-17
est_needed_step_err = 1.0000000000000000000000000000000e-17
opt_iter = 1
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 8.3764398691416092471705953312719e-175
estimated_step_error = 8.3764398691416092471705953312719e-175
best_h = 2.0e-06
opt_iter = 2
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 5.6213334326560364876408968269163e-167
estimated_step_error = 5.6213334326560364876408968269163e-167
best_h = 4.00e-06
opt_iter = 3
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 3.7724127302514798667569850456158e-159
estimated_step_error = 3.7724127302514798667569850456158e-159
best_h = 8.000e-06
opt_iter = 4
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 2.5316229554623696570009177479589e-151
estimated_step_error = 2.5316229554623696570009177479589e-151
best_h = 1.60000e-05
opt_iter = 5
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.6989429052721948997667981515422e-143
estimated_step_error = 1.6989429052721948997667981515422e-143
best_h = 3.200000e-05
opt_iter = 6
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.1401406114371348399121225876303e-135
estimated_step_error = 1.1401406114371348399121225876303e-135
best_h = 6.4000000e-05
opt_iter = 7
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 7.6513450999127026603007412805607e-128
estimated_step_error = 7.6513450999127026603007412805607e-128
best_h = 0.000128
opt_iter = 8
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 5.1347186661350093972231366025576e-120
estimated_step_error = 5.1347186661350093972231366025576e-120
best_h = 0.000256
opt_iter = 9
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 3.4458351110354708549224009463639e-112
estimated_step_error = 3.4458351110354708549224009463639e-112
best_h = 0.000512
opt_iter = 10
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 2.3124389803948415151791037522487e-104
estimated_step_error = 2.3124389803948415151791037522487e-104
best_h = 0.001024
opt_iter = 11
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.5518222460934038286963261585516e-96
estimated_step_error = 1.5518222460934038286963261585516e-96
best_h = 0.002048
opt_iter = 12
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.0413709737063153480571213591349e-88
estimated_step_error = 1.0413709737063153480571213591349e-88
best_h = 0.004096
opt_iter = 13
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 6.9879946777353137780252908439717e-81
estimated_step_error = 6.9879946777353137780252908439717e-81
best_h = 0.008192
opt_iter = 14
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 4.6888555194190965825059721232762e-73
estimated_step_error = 4.6888555194190965825059721232762e-73
best_h = 0.016384
opt_iter = 15
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 3.1456865565979446279733276828923e-65
estimated_step_error = 3.1456865565979446279733276828923e-65
best_h = 0.032768
opt_iter = 16
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 2.1097568203529335859281196026251e-57
estimated_step_error = 2.1097568203529335859281196026251e-57
best_h = 0.065536
opt_iter = 17
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 1.4141159250798049754892541753442e-49
estimated_step_error = 1.4141159250798049754892541753442e-49
best_h = 0.131072
opt_iter = 18
hn_div_ho = 0.5
hn_div_ho_2 = 0.25
hn_div_ho_3 = 0.125
max_estimated_step_error = 9.4668328614345124137785868331297e-42
estimated_step_error = 9.4668328614345124137785868331297e-42
best_h = 0.1
START of Soultion
TOP MAIN SOLVE Loop
x[1] = 0
y[1] (analytic) = 5.033830997888882920976968017558
y[1] (numeric) = 5.033830997888882920976968017558
absolute error = 0
relative error = 0 %
Correct digits = 32
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.547
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.01
y[1] (analytic) = 5.1350232256387383684020501995505
y[1] (numeric) = 5.1350232256387358177876800148987
absolute error = 2.5506143701846518e-15
relative error = 4.9670941261758060309740971794876e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.545
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.02
y[1] (analytic) = 5.2382695311467385525629228392435
y[1] (numeric) = 5.238269531146733399556083003673
absolute error = 5.1530068398355705e-15
relative error = 9.8372311871235409200585956733061e-14 %
Correct digits = 16
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.544
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.03
y[1] (analytic) = 5.3436112143117224353364500547055
y[1] (numeric) = 5.3436112143117146271180494150594
absolute error = 7.8082184006396461e-15
relative error = 1.4612250194638036550759793903940e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.542
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.04
y[1] (analytic) = 5.451090413211530513352967946621
y[1] (numeric) = 5.4510904132115199960417953221293
absolute error = 1.05173111726244917e-14
relative error = 1.9293958410842387925137446447558e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.54
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.05
y[1] (analytic) = 5.560750120958797802724077368359
y[1] (numeric) = 5.5607501209587845213552483477377
absolute error = 1.32813688290206213e-14
relative error = 2.3884131709069883542505113134198e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.539
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.06
y[1] (analytic) = 5.6726342028987721421941633998045
y[1] (numeric) = 5.6726342028987560406971336546187
absolute error = 1.61014970297451858e-14
relative error = 2.8384514942841126052865913254717e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.537
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=4000064, alloc=3079628, time=0.14
TOP MAIN SOLVE Loop
x[1] = 0.07
y[1] (analytic) = 5.786787414156037171344203586542
y[1] (numeric) = 5.7867874141560181925203399058557
absolute error = 1.89788238636806863e-14
relative error = 3.2796822321921456300417836777354e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.536
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.08
y[1] (analytic) = 5.9032554175371589069985722834215
y[1] (numeric) = 5.9032554175371369924982723578557
absolute error = 2.19145002999255658e-14
relative error = 3.7122737794510518083772444070466e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.534
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.09
y[1] (analytic) = 6.022084801796417215170540891804
y[1] (numeric) = 6.0220848017963923054698926946071
absolute error = 2.49097006481971969e-14
relative error = 4.1363915434678887156534959469223e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.533
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.1
y[1] (analytic) = 6.143323100271928714681585747527
y[1] (numeric) = 6.1433231002719007490585571761016
absolute error = 2.79656230285714254e-14
relative error = 4.5521979834226124381105370179475e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.532
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.11
y[1] (analytic) = 6.2670188098996158101009032098535
y[1] (numeric) = 6.2670188098995847266110524632772
absolute error = 3.10834898507465763e-14
relative error = 4.9598526498190719632244052787218e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.53
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.12
y[1] (analytic) = 6.393221410612627695141275148605
y[1] (numeric) = 6.393221410612593430592972124974
absolute error = 3.42645483030236310e-14
relative error = 5.3595122243295255089448738458550e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.529
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.13
y[1] (analytic) = 6.5219813851339733535750386982125
y[1] (numeric) = 6.5219813851339358435041875000331
absolute error = 3.75100708511981794e-14
relative error = 5.7513305598659960538013936143506e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.528
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.14
y[1] (analytic) = 6.6533502391702838747758187275695
y[1] (numeric) = 6.6533502391702430534200711638682
absolute error = 4.08213557475637013e-14
relative error = 6.1354587208164755108861904495242e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.527
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.15
y[1] (analytic) = 6.787380522014781858065993953743
y[1] (numeric) = 6.787380522014737658338443723946
absolute error = 4.41997275502297970e-14
relative error = 6.5120450233884112376195592689350e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.526
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.16
y[1] (analytic) = 6.924125847567699368341557186889
y[1] (numeric) = 6.9241258475676517218039042237971
absolute error = 4.76465376529630919e-14
relative error = 6.8812350760060671517054806093747e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.525
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.17
y[1] (analytic) = 7.063640915782552890432596048689
y[1] (numeric) = 7.06364091578250172726777028593
absolute error = 5.11631648257627590e-14
relative error = 7.2431718197122700080775887837633e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.524
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.18
y[1] (analytic) = 7.2059815345468540781352837797455
y[1] (numeric) = 7.2059815345467993271195173928396
absolute error = 5.47510157663869059e-14
relative error = 7.5979955685287370926110738631426e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.523
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.19
y[1] (analytic) = 7.35120464200600887396169285126
y[1] (numeric) = 7.351204642005950462436029800827
absolute error = 5.84115256630504330e-14
relative error = 7.9458440497326434548991962944283e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.522
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.2
y[1] (analytic) = 7.4993683293393348569112882913005
y[1] (numeric) = 7.4993683293392727107525197718452
absolute error = 6.21461587685194553e-14
relative error = 8.2868524440103463828235698654551e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.521
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.21
y[1] (analytic) = 7.650531863997307528887489725279
y[1] (numeric) = 7.6505318639972415724785038933473
absolute error = 6.59564089858319317e-14
relative error = 8.6211534254522443364801008519883e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.52
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.22
y[1] (analytic) = 7.8047557134093307481079503365275
y[1] (numeric) = 7.8047557134092609043074844577266
absolute error = 6.98438004658788009e-14
relative error = 8.9488772013556230443984072842436e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.52
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.23
y[1] (analytic) = 7.962101569171514733789737382204
y[1] (numeric) = 7.9621015691714409239015202975444
absolute error = 7.38098882170846596e-14
relative error = 9.2701515518050397812504516311964e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.519
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.24
y[1] (analytic) = 8.1226323717241370758192951460105
y[1] (numeric) = 8.1226323717240592195605677141452
absolute error = 7.78562587274318653e-14
relative error = 9.5851018690023312962209392612783e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.518
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.25
y[1] (analytic) = 8.286412335528658062848258910688
y[1] (numeric) = 8.2864123355285760783176598338054
absolute error = 8.19845305990768826e-14
relative error = 9.8938511963207076386024622960073e-13 %
Correct digits = 15
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.517
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.26
y[1] (analytic) = 8.4535069747543614706443719296285
y[1] (numeric) = 8.4535069747542752742891761168997
absolute error = 8.61963551958127288e-14
relative error = 1.0196520267059623150419815181266e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.517
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.27
y[1] (analytic) = 8.6239831294848958095059561556035
y[1] (numeric) = 8.6239831294848053160886525190958
absolute error = 9.04934173036365077e-14
relative error = 1.0493227542879204725339554031955e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.516
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.28
y[1] (analytic) = 8.7979089924551989966641114543785
y[1] (numeric) = 8.7979089924551041192283067681038
absolute error = 9.48774358046862747e-14
relative error = 1.0784089251894976648174127684257e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.515
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.29
y[1] (analytic) = 8.9753541363295015800386864132575
y[1] (numeric) = 8.975354136329402229874321596449
absolute error = 9.93501643648168085e-14
relative error = 1.1069219426415452941098433123968e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.515
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.3
y[1] (analytic) = 9.156389541531320078349082240405
y[1] (numeric) = 9.1563895415312161649569471510664
absolute error = 1.039133921350893386e-13
relative error = 1.1348729940306886569905225224889e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.514
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.31
y[1] (analytic) = 9.341087624636572805987459534347
y[1] (numeric) = 9.3410876246364642370429920785265
absolute error = 1.085689444674558205e-13
relative error = 1.1622730545971067994246131236729e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.514
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.32
y[1] (analytic) = 9.5295222673411758075642225724445
y[1] (numeric) = 9.5295222673410624888805776483834
absolute error = 1.133186836449240611e-13
relative error = 1.1891328910923570787622974493156e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.513
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.33
y[1] (analytic) = 9.721768846014706326739361604255
y[1] (numeric) = 9.7217688460145881622297351085086
absolute error = 1.181645096264957464e-13
relative error = 1.2154630653961240710434248642421e-12 %
Correct digits = 14
h = 0.01
bytes used=8001480, alloc=4259060, time=0.29
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.513
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.34
y[1] (analytic) = 9.9179042618519556687812859599535
y[1] (numeric) = 9.9179042618518325604204787845729
absolute error = 1.231083608071753806e-13
relative error = 1.2412739380909040710826622968457e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.512
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.35
y[1] (analytic) = 10.118006971634432480024236655506
y[1] (numeric) = 10.118006971634304327809443301375
absolute error = 1.28152214793354131e-13
relative error = 1.2665756719937583402638116045069e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.512
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.36
y[1] (analytic) = 10.322157019114121455694907269837
y[1] (numeric) = 10.322157019113988157605713391087
absolute error = 1.33298089193878750e-13
relative error = 1.2913782356443827156138266896343e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.511
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.37
y[1] (analytic) = 10.530436067032051398047099221434
y[1] (numeric) = 10.530436067031912850004672099412
absolute error = 1.38548042427122022e-13
relative error = 1.3156914067488476449448391829057e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.511
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.38
y[1] (analytic) = 10.742927429784480478947598312151
y[1] (numeric) = 10.742927429784336574773053934597
absolute error = 1.43904174544377554e-13
relative error = 1.3395247755784615905266797375232e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.51
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.39
y[1] (analytic) = 10.959716106749765616573251086625
y[1] (numeric) = 10.959716106749616247945181178329
absolute error = 1.49368628069908296e-13
relative error = 1.3628877483233034418764212235218e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.51
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.4
y[1] (analytic) = 11.180888816289247158334103012902
y[1] (numeric) = 11.18088881628909221474524502809
absolute error = 1.54943588857984812e-13
relative error = 1.3857895504000551999136961819821e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.51
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.41
y[1] (analytic) = 11.406534030435749677246941490084
y[1] (numeric) = 11.406534030435589045959974233951
absolute error = 1.60631286967256133e-13
relative error = 1.4082392297138461708657796407624e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.509
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.42
y[1] (analytic) = 11.636742010283574744597303940489
y[1] (numeric) = 11.636742010283408310599751137534
absolute error = 1.66433997552802955e-13
relative error = 1.4302456598738940292352376436217e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.509
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.43
y[1] (analytic) = 11.871604842094142147871877690921
y[1] (numeric) = 11.871604842093969793830101460919
absolute error = 1.72354041776230002e-13
relative error = 1.4518175433627967599555107720243e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.508
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.44
y[1] (analytic) = 12.11121647413172229186343300195
y[1] (numeric) = 12.111216474131543898075698840329
absolute error = 1.78393787734161621e-13
relative error = 1.4729634146593935270114532408340e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.508
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.45
y[1] (analytic) = 12.355672754243994567058378521241
y[1] (numeric) = 12.355672754243810011406973009237
absolute error = 1.84555651405512004e-13
relative error = 1.4936916433151712585548942934485e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.508
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.46
y[1] (analytic) = 12.605071468202464409735086797482
y[1] (numeric) = 12.605071468202273567637468888513
absolute error = 1.90842097617908969e-13
relative error = 1.5140104369842485743963592485201e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.507
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.47
y[1] (analytic) = 12.859512378818075731809406109264
y[1] (numeric) = 12.85951237881787847616837245139
absolute error = 1.97255641033657874e-13
relative error = 1.5339278444070189498863362844230e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.507
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.48
y[1] (analytic) = 13.119097265847665486947749814577
y[1] (numeric) = 13.119097265847461688100594174505
absolute error = 2.03798847155640072e-13
relative error = 1.5534517583475816816280353266357e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.507
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.49
y[1] (analytic) = 13.383929966707223486867363869648
y[1] (numeric) = 13.38392996670701301253401032138
absolute error = 2.10474333353548268e-13
relative error = 1.5725899184851319084103821808281e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.507
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.5
y[1] (analytic) = 13.654116418008243314600994806034
y[1] (numeric) = 13.65411641800802602983108393674
absolute error = 2.17284769910869294e-13
relative error = 1.5913499142595205168563762469773e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.506
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.51
y[1] (analytic) = 13.929764697933779428916660502917
y[1] (numeric) = 13.929764697933555196035567469808
absolute error = 2.24232881093033109e-13
relative error = 1.6097391876712308804214964007506e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.506
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.52
y[1] (analytic) = 14.210985069471161447755919963598
y[1] (numeric) = 14.2109850694709301263096828083
absolute error = 2.31321446237155298e-13
relative error = 1.6277650360360525454447500026244e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.506
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.53
y[1] (analytic) = 14.49789002451865927284789372069
y[1] (numeric) = 14.49789002451842071954702991172
absolute error = 2.38553300863808970e-13
relative error = 1.6454346146947622258514423149635e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.506
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.54
y[1] (analytic) = 14.790594328883742309645590047312
y[1] (numeric) = 14.790594328883496378307778776509
absolute error = 2.45931337811270803e-13
relative error = 1.6627549396781503971240700241198e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.505
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.55
y[1] (analytic) = 15.089215068190932686257300851552
y[1] (numeric) = 15.089215068190679227748908156634
absolute error = 2.53458508392694918e-13
relative error = 1.6797328903277565694946711667329e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.505
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.56
y[1] (analytic) = 15.393871694717616224773510852768
y[1] (numeric) = 15.39387169471735508694993417527
absolute error = 2.61137823576677498e-13
relative error = 1.6963752118726996208428024262221e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.505
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.57
y[1] (analytic) = 15.704686075176546113863656846928
y[1] (numeric) = 15.70468607517627714150846516256
absolute error = 2.68972355191684368e-13
relative error = 1.7126885179630098590108064141242e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.505
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.58
y[1] (analytic) = 16.021782539464152921220319460675
y[1] (numeric) = 16.021782539463875955983164637327
absolute error = 2.76965237154823348e-13
relative error = 1.7286792931598884720218309259457e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.505
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.59
y[1] (analytic) = 16.345287930394160919841958331508
y[1] (numeric) = 16.345287930393875800175232878635
absolute error = 2.85119666725452873e-13
relative error = 1.7443538953833363988997531824089e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.504
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.6
y[1] (analytic) = 16.675331654436404837808429753555
y[1] (numeric) = 16.675331654436111398902645625184
absolute error = 2.93438905784128371e-13
relative error = 1.7597185583176100233483799687853e-12 %
Correct digits = 14
h = 0.01
bytes used=12002548, alloc=4324584, time=0.45
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.504
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.61
y[1] (analytic) = 17.012045733481143234775773958186
y[1] (numeric) = 17.012045733480841308493636560206
absolute error = 3.01926282137397980e-13
relative error = 1.7747793937749741000808372243755e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.504
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.62
y[1] (analytic) = 17.355564857649574920740917574624
y[1] (numeric) = 17.355564857649264335550068605089
absolute error = 3.10585190848969535e-13
relative error = 1.7895423940182341505938053412688e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.504
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.63
y[1] (analytic) = 17.706026439171683327793404671736
y[1] (numeric) = 17.706026439171363908697806890418
absolute error = 3.19419095597781318e-13
relative error = 1.8040134340425409533219984153869e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.504
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.64
y[1] (analytic) = 18.063570667352960690983693715299
y[1] (numeric) = 18.063570667352632259453630195476
absolute error = 3.28431530063519823e-13
relative error = 1.8181982738169686914054135707638e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.504
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.65
y[1] (analytic) = 18.428340564651999460879795436294
y[1] (numeric) = 18.428340564651661834780455297555
absolute error = 3.37626099340138739e-13
relative error = 1.8321025604863758702069963614185e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.503
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.66
y[1] (analytic) = 18.800482043891382732088462520288
y[1] (numeric) = 18.800482043891035725607084575681
absolute error = 3.47006481377944607e-13
relative error = 1.8457318305340649513789653459828e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.503
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.67
y[1] (analytic) = 19.180143966624758806734382871644
y[1] (numeric) = 19.180143966624402230305928045667
absolute error = 3.56576428454825977e-13
relative error = 1.8590915119057617768775686427814e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.503
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.68
y[1] (analytic) = 19.56747820268344750096080541921
y[1] (numeric) = 19.567478202683081161192128204614
absolute error = 3.66339768677214596e-13
relative error = 1.8721869260954405597261734996714e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.503
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.69
y[1] (analytic) = 19.962639690926397630939535606094
y[1] (numeric) = 19.962639690926021330532024227068
absolute error = 3.76300407511379026e-13
relative error = 1.8850232901935235745217656142428e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.503
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.7
y[1] (analytic) = 20.365786501217796471394937778104
y[1] (numeric) = 20.365786501217410009065592114884
absolute error = 3.86462329345663220e-13
relative error = 1.8976057188979872911575095261598e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.503
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.71
y[1] (analytic) = 20.777079897657123056804498505864
y[1] (numeric) = 20.777079897656726227205414210872
absolute error = 3.96829599084294992e-13
relative error = 1.9099392264889086640440514899646e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.503
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.72
y[1] (analytic) = 21.1966844030869381896750493939
y[1] (numeric) = 21.196684403086530783311275992003
absolute error = 4.07406363773401897e-13
relative error = 1.9220287287669861148433480167891e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.503
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.73
y[1] (analytic) = 21.624767864904215132013294776353
y[1] (numeric) = 21.624767864903796935159034891362
absolute error = 4.18196854259884991e-13
relative error = 1.9338790449565704713299321550397e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.503
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.74
y[1] (analytic) = 22.061501522201536389763341605647
y[1] (numeric) = 22.061501522201107184376457791657
absolute error = 4.29205386883813990e-13
relative error = 1.9454948995737403998098055440317e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.502
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.75
y[1] (analytic) = 22.507060074265013964152899969966
y[1] (numeric) = 22.507060074264573527787694949107
absolute error = 4.40436365205020859e-13
relative error = 1.9568809242599565084755581802991e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.502
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.76
y[1] (analytic) = 22.961621750456333151366473566026
y[1] (numeric) = 22.961621750455881257084708983574
absolute error = 4.51894281764582452e-13
relative error = 1.9680416595818264686579692717108e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.502
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.77
y[1] (analytic) = 23.42536838150687363983841696219
y[1] (numeric) = 23.425368381506410056118535065334
absolute error = 4.63583719881896856e-13
relative error = 1.9789815567975119483835172149004e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.502
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.78
y[1] (analytic) = 23.89848547225242650420573277299
y[1] (numeric) = 23.898485472251950994850244700744
absolute error = 4.75509355488072246e-13
relative error = 1.9897049795903054089402373125599e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.502
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.79
y[1] (analytic) = 24.381162275837601952527347158722
y[1] (numeric) = 24.381162275837114276568350797034
absolute error = 4.87675958996361688e-13
relative error = 2.0002162057699024851172845771428e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.502
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.8
y[1] (analytic) = 24.873591869419610579274046645474
y[1] (numeric) = 24.873591869419110490876836253432
absolute error = 5.00088397210392042e-13
relative error = 2.0105194289418920342975724500890e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.502
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.81
y[1] (analytic) = 25.375971231401700645987480826326
y[1] (numeric) = 25.375971231401187894352209876024
absolute error = 5.12751635270950302e-13
relative error = 2.0206187601459826993431278993932e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.502
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.82
y[1] (analytic) = 25.888501320227145794313388773854
y[1] (numeric) = 25.888501320226620123574746667736
absolute error = 5.25670738642106118e-13
relative error = 2.0305182294634808981635056586259e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.502
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.83
y[1] (analytic) = 26.41138715476530183709477321503
y[1] (numeric) = 26.41138715476476298621963575007
absolute error = 5.38850875137464960e-13
relative error = 2.0402217875945309206334132137610e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.502
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.84
y[1] (analytic) = 26.944837896321888122069841242718
y[1] (numeric) = 26.944837896321335824752853880251
absolute error = 5.52297316987362467e-13
relative error = 2.0497333074056235136808038948431e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.502
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.85
y[1] (analytic) = 27.489066932306298674205188632414
y[1] (numeric) = 27.489066932305732658762240805534
absolute error = 5.66015442947826880e-13
relative error = 2.0590565854478745862207446028016e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.502
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.86
y[1] (analytic) = 28.04429196158941115670018389728
y[1] (numeric) = 28.044291961588831145959731744109
absolute error = 5.80010740452153171e-13
relative error = 2.0681953434465708060932144066489e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.502
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.87
y[1] (analytic) = 28.610735081586037912366248145138
y[1] (numeric) = 28.610735081585443623558442195613
absolute error = 5.94288807805949525e-13
relative error = 2.0771532297624737828931977342211e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=16003592, alloc=4390108, time=0.61
TOP MAIN SOLVE Loop
x[1] = 0.88
y[1] (analytic) = 29.18862287709685322691241110298
y[1] (numeric) = 29.188622877096244371555984568751
absolute error = 6.08855356426534229e-13
relative error = 2.0859338208253693036443600703724e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.89
y[1] (analytic) = 29.778186510945334769617281941752
y[1] (numeric) = 29.778186510944711053404154362997
absolute error = 6.23716213127578755e-13
relative error = 2.0945406225403426497356835476907e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.9
y[1] (analytic) = 30.379661816445975196472369581162
y[1] (numeric) = 30.379661816445336319149919670243
absolute error = 6.38877322449910919e-13
relative error = 2.1029770716672554643320690248653e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.91
y[1] (analytic) = 30.99328939174075243336393675515
y[1] (numeric) = 30.993289391740098088614897344675
absolute error = 6.54344749039410475e-13
relative error = 2.1112465371738940147708974376676e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.92
y[1] (analytic) = 31.619314696041594485243035403235
y[1] (numeric) = 31.619314696040924360562962454909
absolute error = 6.70124680072948326e-13
relative error = 2.1193523215632528720614225059103e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.93
y[1] (analytic) = 32.257988147817337040457365417906
y[1] (numeric) = 32.257988147816650817029632078133
absolute error = 6.86223427733339773e-13
relative error = 2.1272976621754122354078647934739e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.94
y[1] (analytic) = 32.909565224964449962463579799793
y[1] (numeric) = 32.90956522496374731503184549799
absolute error = 7.02647431734301803e-13
relative error = 2.1350857324644611034338751830010e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.95
y[1] (analytic) = 33.574306567001602295144215955193
y[1] (numeric) = 33.574306567000882891882319530752
absolute error = 7.19403261896424441e-13
relative error = 2.1427196432509125611547348363436e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.96
y[1] (analytic) = 34.252478079328944970343748031806
y[1] (numeric) = 34.252478079328208472722972845223
absolute error = 7.36497620775186583e-13
relative error = 2.1502024439500513495341195228573e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.97
y[1] (analytic) = 34.944351039593816320849079263418
y[1] (numeric) = 34.944351039593062383502737195859
absolute error = 7.53937346342067559e-13
relative error = 2.1575371237766478283077680037269e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.98
y[1] (analytic) = 35.650202206205418099247982954026
y[1] (numeric) = 35.65020220620464636983326312713
absolute error = 7.71729414719826896e-13
relative error = 2.1647266129264662598806332608877e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 0.99
y[1] (analytic) = 36.370313929041869319954674031678
y[1] (numeric) = 36.370313929041079439011700985239
absolute error = 7.89880942973046439e-13
relative error = 2.1717737837349892512273571112614e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1
y[1] (analytic) = 37.104974262393922222053054022244
y[1] (numeric) = 37.104974262393113822861098971165
absolute error = 8.08399191955051079e-13
relative error = 2.1786814518137739831362490868866e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.01
y[1] (analytic) = 37.854477080190519345279058605287
y[1] (numeric) = 37.854477080189692053709846258391
absolute error = 8.27291569212346896e-13
relative error = 2.1854523771648497077578436485527e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.02
y[1] (analytic) = 38.619122193552283478333746393942
y[1] (numeric) = 38.619122193551436912701798655411
absolute error = 8.46565631947738531e-13
relative error = 2.1920892652735598240156678299533e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.03
y[1] (analytic) = 39.399215470719963442907218699323
y[1] (numeric) = 39.399215470719097213817175388251
absolute error = 8.66229090043311072e-13
relative error = 2.1985947681802456799311276224746e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.04
y[1] (analytic) = 40.195068959405808690794244399209
y[1] (numeric) = 40.195068959404922400985099913526
absolute error = 8.86289809144485683e-13
relative error = 2.2049714855311631039866020818934e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.05
y[1] (analytic) = 41.007001011616814895313848966702
y[1] (numeric) = 41.007001011615908139500042584046
absolute error = 9.06755813806382656e-13
relative error = 2.2112219656090166001914650740623e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.06
y[1] (analytic) = 41.835336410999771499601567671098
y[1] (numeric) = 41.83533641099884386431086392065
absolute error = 9.27635290703750448e-13
relative error = 2.2173487063434899425186520916515e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.07
y[1] (analytic) = 42.68040650275905093875028644411
y[1] (numeric) = 42.680406502758102002158380699364
absolute error = 9.48936591905744746e-13
relative error = 2.2233541563021459795112357479512e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.08
y[1] (analytic) = 43.542549326199108383748813037146
y[1] (numeric) = 43.542549326198137715510596169663
absolute error = 9.70668238216867483e-13
relative error = 2.2292407156620622848305269091721e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.09
y[1] (analytic) = 44.422109749944710774372647096684
y[1] (numeric) = 44.422109749943717935450061694427
absolute error = 9.92838922585402257e-13
relative error = 2.2350107371625634622841509077075e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.1
y[1] (analytic) = 45.319439609892985035600531894505
y[1] (numeric) = 45.319439609891969578086951184959
absolute error = 1.015457513580709546e-12
relative error = 2.2406665270394048336429154214658e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.11
y[1] (analytic) = 46.234897849952468136228522202793
y[1] (numeric) = 46.234897849951429603169581430084
absolute error = 1.038533058940772709e-12
relative error = 2.2462103459407564683127193294387e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.12
y[1] (analytic) = 47.168850665625456486250701843706
y[1] (numeric) = 47.168850665624394411461510429895
absolute error = 1.062074789191413811e-12
relative error = 2.2516444098253305511009871343620e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.13
y[1] (analytic) = 48.121671650491089527222354432198
y[1] (numeric) = 48.121671650490003435101015805167
absolute error = 1.086092121338627031e-12
relative error = 2.2569708908429894149834942447601e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.501
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.14
y[1] (analytic) = 49.093741945647762702175555408308
y[1] (numeric) = 49.093741945646652107512919901691
absolute error = 1.110594662635506617e-12
relative error = 2.2621919181981657387437968935973e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=20005036, alloc=4455632, time=0.78
TOP MAIN SOLVE Loop
x[1] = 1.15
y[1] (analytic) = 50.08545039217464876286722559114
y[1] (numeric) = 50.085450392173513170652800314909
absolute error = 1.135592214425276231e-12
relative error = 2.2673095789964208232210013548489e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.16
y[1] (analytic) = 51.097193686673314055729934036635
y[1] (numeric) = 51.097193686672152960953872079719
absolute error = 1.161094776061956916e-12
relative error = 2.2723259190744611379025729278803e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.17
y[1] (analytic) = 52.1293765399516485069556997067
y[1] (numeric) = 52.129376539950461394406789464675
absolute error = 1.187112548910242025e-12
relative error = 2.2772429438139278885064141428523e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.18
y[1] (analytic) = 53.18241183891358499452076928281
y[1] (numeric) = 53.182411838912371338580343103662
absolute error = 1.213655940426179148e-12
relative error = 2.2820626189392688865435790173373e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.19
y[1] (analytic) = 54.25672081171936615345855326221
y[1] (numeric) = 54.256720811718125417890232970957
absolute error = 1.240735568320291253e-12
relative error = 2.2867868712999963064541387211389e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.2
y[1] (analytic) = 55.352733196282424923269082283245
y[1] (numeric) = 55.352733196281156561004277480732
absolute error = 1.268362264804802513e-12
relative error = 2.2914175896376290994356839370047e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.21
y[1] (analytic) = 56.47088741217027983633897664258
y[1] (numeric) = 56.470887412168983289258049974983
absolute error = 1.296547080926667597e-12
relative error = 2.2959566253376129002985132363753e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.22
y[1] (analytic) = 57.61163073597820769752979454862
y[1] (numeric) = 57.611630735976882396238806410814
absolute error = 1.325301290988137806e-12
relative error = 2.3004057931665055817427972304820e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.23
y[1] (analytic) = 58.775419480245845462353407942745
y[1] (numeric) = 58.77541948024449082595635131044
absolute error = 1.354636397056632305e-12
relative error = 2.3047668719947111813065301231149e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.24
y[1] (analytic) = 59.96271917598829034007217537078
y[1] (numeric) = 59.962719175986905775938609652318
absolute error = 1.384564133565718462e-12
relative error = 2.3090416055050399186046355992845e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.25
y[1] (analytic) = 61.17400475891471299554560355363
y[1] (numeric) = 61.174004758913297899073594511915
absolute error = 1.415096472009041715e-12
relative error = 2.3132317028873669542872604454397e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.26
y[1] (analytic) = 62.409760759408973778052184780765
y[1] (numeric) = 62.409760759407527532426455698094
absolute error = 1.446245625729082671e-12
relative error = 2.3173388395196577760330167593292e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.27
y[1] (analytic) = 63.670481496348236756686596485415
y[1] (numeric) = 63.67048149634675873263179382849
absolute error = 1.478024054802656925e-12
relative error = 2.3213646576356229790893064178379e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.28
y[1] (analytic) = 64.956671274837111592229065908635
y[1] (numeric) = 64.956671274835601147758040796683
absolute error = 1.510444471025111952e-12
relative error = 2.3253107669792606897774852352004e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.29
y[1] (analytic) = 66.268844587936419538726025543685
y[1] (numeric) = 66.268844587934876018883030328977
absolute error = 1.543519842995214708e-12
relative error = 2.3291787454465398360722816369571e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.3
y[1] (analytic) = 67.60752632246727777093543479198
y[1] (numeric) = 67.607526322465700507534132027905
absolute error = 1.577263401302764075e-12
relative error = 2.3329701397144731701230263968450e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.31
y[1] (analytic) = 68.973251968972826415458791312585
y[1] (numeric) = 68.973251968971214726814970309398
absolute error = 1.611688643821003187e-12
relative error = 2.3366864658578240632878790707339e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.32
y[1] (analytic) = 70.366567835921585775899305414105
y[1] (numeric) = 70.366567835919938966558199465411
absolute error = 1.646809341105948694e-12
relative error = 2.3403292099536867412880408701139e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.33
y[1] (analytic) = 71.788031268238127951019144629685
y[1] (numeric) = 71.788031268236445311477239832913
absolute error = 1.682639541904796772e-12
relative error = 2.3438998286741751567433957413018e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.34
y[1] (analytic) = 73.23821087024847802832414978977
y[1] (numeric) = 73.238210870246758834745374180419
absolute error = 1.719193578775609351e-12
relative error = 2.3473997498674513679919490541109e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.35
y[1] (analytic) = 74.71768673312942598619844074783
y[1] (numeric) = 74.717686733127669500124620219421
absolute error = 1.756486073820528409e-12
relative error = 2.3508303731273198002712146973509e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.36
y[1] (analytic) = 76.227050666952732062047693351985
y[1] (numeric) = 76.227050666950937530103158540176
absolute error = 1.794531944534811809e-12
relative error = 2.3541930703516098396494862011208e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.37
y[1] (analytic) = 77.766906437417046362562335812985
y[1] (numeric) = 77.76690643741521301615256178268
absolute error = 1.833346409774030305e-12
relative error = 2.3574891862895647899575441887345e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.38
y[1] (analytic) = 79.33787000736223864041245052584
y[1] (numeric) = 79.337870007360365695416608713152
absolute error = 1.872944995841812688e-12
relative error = 2.3607200390784512428818751505028e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.39
y[1] (analytic) = 80.940569783162747189519059182625
y[1] (numeric) = 80.940569783160833845976358608363
absolute error = 1.913343542700574262e-12
relative error = 2.3638869207695988804416233034740e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.4
y[1] (analytic) = 82.575646866098507483748355202355
y[1] (numeric) = 82.575646866096552925538047489351
absolute error = 1.954558210307713004e-12
relative error = 2.3669910978440767309277383574978e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.41
y[1] (analytic) = 84.243755308804012282141431504465
y[1] (numeric) = 84.243755308802015676656351696475
absolute error = 1.996605485079807990e-12
relative error = 2.3700338117182080582362455924924e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=24006860, alloc=4455632, time=0.94
x[1] = 1.42
y[1] (analytic) = 85.945562376898086244087988189765
y[1] (numeric) = 85.94556237689604674190150078389
absolute error = 2.039502186487405875e-12
relative error = 2.3730162792391222391297938363694e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.43
y[1] (analytic) = 87.68174881589903045273359677298
y[1] (numeric) = 87.681748815896947187259813739645
absolute error = 2.083265473783033335e-12
relative error = 2.3759396931705380853948375726212e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.44
y[1] (analytic) = 89.453009123531906463345929438345
y[1] (numeric) = 89.453009123529778550493064311441
absolute error = 2.127912852865126904e-12
relative error = 2.3788052226689696501851386039583e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.45
y[1] (analytic) = 91.26005182753688642107149765098
y[1] (numeric) = 91.26005182753471295888821702524
absolute error = 2.173462183280625740e-12
relative error = 2.3816140137505416077850519444003e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.46
y[1] (analytic) = 93.103599769089796292290726226925
y[1] (numeric) = 93.103599769087576360605357198377
absolute error = 2.219931685369028548e-12
relative error = 2.3843671897485979951240022328331e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.47
y[1] (analytic) = 94.98439039194822420585486754371
y[1] (numeric) = 94.984390391945956865907316771404
absolute error = 2.267339947550772306e-12
relative error = 2.3870658517622844020931885090175e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.48
y[1] (analytic) = 96.903176037438856202874099326805
y[1] (numeric) = 96.903176037436540496940336478492
absolute error = 2.315705933762848313e-12
relative error = 2.3897110790962804133819026183913e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.49
y[1] (analytic) = 98.86072424540403826257364048242
y[1] (numeric) = 98.860724245401673213582595852613
absolute error = 2.365048991044629807e-12
relative error = 2.3923039296918555401454940060527e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.5
y[1] (analytic) = 100.8578180612279472417025564277
y[1] (numeric) = 100.857818061225531852845279482
absolute error = 2.41538885727694570e-12
relative error = 2.3948454405494187839162678552847e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.51
y[1] (analytic) = 102.89525634906518528960787945276
y[1] (numeric) = 102.89525634906271854393880195666
absolute error = 2.46674566907749610e-12
relative error = 2.3973366281427285208930787366799e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.52
y[1] (analytic) = 104.97385411139709335317701811154
y[1] (numeric) = 104.9738541113945742132071623437
absolute error = 2.51913996985576784e-12
relative error = 2.3997784888249262111822971015562e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.53
y[1] (analytic) = 107.09444281504361055785808975495
y[1] (numeric) = 107.09444281504103796514005908275
absolute error = 2.57259271803067220e-12
relative error = 2.4021719992265544515316749043867e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.54
y[1] (analytic) = 109.25787072376108855539333416414
y[1] (numeric) = 109.25787072375846143009791997217
absolute error = 2.62712529541419197e-12
relative error = 2.4045181166457166650359545002287e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.55
y[1] (analytic) = 111.46500323755910439870135520834
y[1] (numeric) = 111.46500323755642163918559081704
absolute error = 2.68275951576439130e-12
relative error = 2.4068177794305325938726394360599e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.56
y[1] (analytic) = 113.71672323887200319334263850896
y[1] (numeric) = 113.71672323886926367570912729922
absolute error = 2.73951763351120974e-12
relative error = 2.4090719073540409852782469010899e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.57
y[1] (analytic) = 116.01393144572364375831104205052
y[1] (numeric) = 116.0139314457208463359583835195
absolute error = 2.79742235265853102e-12
relative error = 2.4112814019816979512750831382332e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.58
y[1] (analytic) = 118.3575467720266179033416371037
y[1] (numeric) = 118.35754677202376140650577101641
absolute error = 2.85649683586608729e-12
relative error = 2.4134471470316163076641718567670e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.59
y[1] (analytic) = 120.74850669516006781449946661332
y[1] (numeric) = 120.74850669515715104978575178147
absolute error = 2.91676471371483185e-12
relative error = 2.4155700087276887212351003342040e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.6
y[1] (analytic) = 123.18776763097313757610636932996
y[1] (numeric) = 123.18776763097015932601220984336
absolute error = 2.97825009415948660e-12
relative error = 2.4176508361457345545814531519756e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.61
y[1] (analytic) = 125.6763053163640652097273284638
y[1] (numeric) = 125.67630531636102423215515641837
absolute error = 3.04097757217204543e-12
relative error = 2.4196904615528076834686724190674e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.62
y[1] (analytic) = 128.2151151995879519681545144664
y[1] (numeric) = 128.21511519958484699591493437552
absolute error = 3.10497223958009088e-12
relative error = 2.4216897007397996743751341831498e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.63
y[1] (analytic) = 130.80521283844933719627959468769
y[1] (numeric) = 130.80521283844616693658449082792
absolute error = 3.17025969510385977e-12
relative error = 2.4236493533474704592781956582203e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.64
y[1] (analytic) = 133.44763430653886109810378060699
y[1] (numeric) = 133.44763430653562423204918453437
absolute error = 3.23686605459607262e-12
relative error = 2.4255702031860357629259760354177e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.65
y[1] (analytic) = 136.14343660767651549155347391736
y[1] (numeric) = 136.1434366076732106735919852944
absolute error = 3.30481796148862296e-12
relative error = 2.4274530185484381646503454883687e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.66
y[1] (analytic) = 138.89369809872726537738712711246
y[1] (numeric) = 138.89369809872389123478967680714
absolute error = 3.37414259745030532e-12
relative error = 2.4292985525174261623065839065140e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.67
y[1] (analytic) = 141.6995189209581732084376699973
y[1] (numeric) = 141.69951892095472834074441015214
absolute error = 3.44486769325984516e-12
relative error = 2.4311075432665632220426684246537e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.68
y[1] (analytic) = 144.56202144010957446040320894234
y[1] (numeric) = 144.56202144010605743886331036218
absolute error = 3.51702153989858016e-12
relative error = 2.4328807143552864420190494673004e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.69
y[1] (analytic) = 147.48235069535633884210822487202
y[1] (numeric) = 147.4823506953527482091083576421
absolute error = 3.59063299986722992e-12
relative error = 2.4346187750181319603812482073816e-12 %
Correct digits = 14
h = 0.01
bytes used=28007716, alloc=4455632, time=1.09
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.7
y[1] (analytic) = 150.46167485733880763594933984279
y[1] (numeric) = 150.46167485733514190443060856167
absolute error = 3.66573151873128112e-12
relative error = 2.4363224204482422084189624585647e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.71
y[1] (analytic) = 153.50118569544662565062242336024
y[1] (numeric) = 153.50118569544288330348552375392
absolute error = 3.74234713689960632e-12
relative error = 2.4379923320752676358567746395129e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.72
y[1] (analytic) = 156.60209905454238754944629525546
y[1] (numeric) = 156.60209905453856703894465422741
absolute error = 3.82051050164102805e-12
relative error = 2.4396291778377734573368338013881e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.73
y[1] (analytic) = 159.76565534131579436921439045535
y[1] (numeric) = 159.76565534131189411633504682038
absolute error = 3.90025287934363497e-12
relative error = 2.4412336124502597715742643209452e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.74
y[1] (analytic) = 162.99312002046286837699047680953
y[1] (numeric) = 162.99312002045888677082245505553
absolute error = 3.98160616802175400e-12
relative error = 2.4428062776649012956476756392167e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.75
y[1] (analytic) = 166.28578412088870456660221928649
y[1] (numeric) = 166.28578412088463996369214370513
absolute error = 4.06460291007558136e-12
relative error = 2.4443478025281108614922600044114e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.76
y[1] (analytic) = 169.64496475213624664489120016104
y[1] (numeric) = 169.64496475213209736858589158446
absolute error = 4.14927630530857658e-12
relative error = 2.4458588036320288152664635669524e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.77
y[1] (analytic) = 173.07200563124766590392271856698
y[1] (numeric) = 173.07200563124343024369851074049
absolute error = 4.23566022420782649e-12
relative error = 2.4473398853610383648832792325891e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.78
y[1] (analytic) = 176.56827762026909455561630321199
y[1] (numeric) = 176.56827762026477076639481052023
absolute error = 4.32378922149269176e-12
relative error = 2.4487916401334051791143103921692e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.79
y[1] (analytic) = 180.13517927461372258895612533416
y[1] (numeric) = 180.13517927460930889040618817888
absolute error = 4.41369854993715528e-12
relative error = 2.4502146486381372635463391035447e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.8
y[1] (analytic) = 183.77413740250261070012964163096
y[1] (numeric) = 183.77413740249810527595517022908
absolute error = 4.50542417447140188e-12
relative error = 2.4516094800671596779463085583221e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.81
y[1] (analytic) = 187.48660763570700308007681854096
y[1] (numeric) = 187.48660763570240407729025027108
absolute error = 4.59900278656826988e-12
relative error = 2.4529766923428963983833667263831e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.82
y[1] (analytic) = 191.27407501182044459456392742698
y[1] (numeric) = 191.27407501181575012274500709749
absolute error = 4.69447181892032949e-12
relative error = 2.4543168323413501430646229854333e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.83
y[1] (analytic) = 195.13805456829361896738568502882
y[1] (numeric) = 195.13805456828882709792527156986
absolute error = 4.79186946041345896e-12
relative error = 2.4556304361107689872532576954827e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.84
y[1] (analytic) = 199.08009194846952982253913609879
y[1] (numeric) = 199.08009194846463858786773319073
absolute error = 4.89123467140290806e-12
relative error = 2.4569180290859868963004164733672e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.85
y[1] (analytic) = 203.1017640198614467383629686929
y[1] (numeric) = 203.1017640198564541311636707332
absolute error = 4.99260719929795970e-12
relative error = 2.4581801262985237112377788889803e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.86
y[1] (analytic) = 207.20467950492093573587978209666
y[1] (numeric) = 207.20467950491583970828532067301
absolute error = 5.09602759446142365e-12
relative error = 2.4594172325825282862433909412269e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.87
y[1] (analytic) = 211.3904796245482898238891881436
y[1] (numeric) = 211.39047962454308828666275782132
absolute error = 5.20153722643032228e-12
relative error = 2.4606298427766468507988946687100e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.88
y[1] (analytic) = 215.66083875460277235328325977316
y[1] (numeric) = 215.66083875459746317498279551616
absolute error = 5.30917830046425700e-12
relative error = 2.4618184419218971906957726291971e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.89
y[1] (analytic) = 220.01746509567528603151267816406
y[1] (numeric) = 220.01746509566986703763825008922
absolute error = 5.41899387442807484e-12
relative error = 2.4629835054556275004106381830094e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.9
y[1] (analytic) = 224.46210135639138559523068997538
y[1] (numeric) = 224.46210135638585456735467438689
absolute error = 5.53102787601558849e-12
relative error = 2.4641254994016372856980016207176e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.91
y[1] (analytic) = 228.99652545051796445701224487243
y[1] (numeric) = 228.99652545051231913189192363285
absolute error = 5.64532512032123958e-12
relative error = 2.4652448805565361855320688109933e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.92
y[1] (analytic) = 233.62255120815246729568675391135
y[1] (numeric) = 233.62255120814670536435898717741
absolute error = 5.76193132776673394e-12
relative error = 2.4663420966724149903765910008634e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.93
y[1] (analytic) = 238.3420291012791137579698709647
y[1] (numeric) = 238.34202910127323286482748114477
absolute error = 5.88089314238981993e-12
relative error = 2.4674175866359018306195883684506e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.94
y[1] (analytic) = 243.15684698398236543508692128326
y[1] (numeric) = 243.15684698397636317693641875781
absolute error = 6.00225815050252545e-12
relative error = 2.4684717806436749194899317912449e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.95
y[1] (analytic) = 248.06893084761373137082311403248
y[1] (numeric) = 248.06893084760760529592338771519
absolute error = 6.12607489972631729e-12
relative error = 2.4695051003745019427958565369718e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.96
y[1] (analytic) = 253.0802455912139888922287518312
y[1] (numeric) = 253.08024559120773649931034003425
absolute error = 6.25239291841179695e-12
relative error = 2.4705179591578746801686739067969e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=32010804, alloc=4455632, time=1.26
TOP MAIN SOLVE Loop
x[1] = 1.97
y[1] (analytic) = 258.19279580749899892374496204819
y[1] (numeric) = 258.19279580749261766100951134686
absolute error = 6.38126273545070133e-12
relative error = 2.4715107621393062759293814941577e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.98
y[1] (analytic) = 263.40862658472352059082620281341
y[1] (numeric) = 263.40862658471700785492571468028
absolute error = 6.51273590048813313e-12
relative error = 2.4724839064423570495404582192205e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 1.99
y[1] (analytic) = 268.72982432474378133056107538018
y[1] (numeric) = 268.72982432473713446555653227395
absolute error = 6.64686500454310623e-12
relative error = 2.4734377813274535728712019502617e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2
y[1] (analytic) = 274.15851757760603844498206035605
y[1] (numeric) = 274.15851757759925474128101470152
absolute error = 6.78370370104565453e-12
relative error = 2.4743727683475644152197541199383e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.01
y[1] (analytic) = 279.69687789299497864968136143389
y[1] (numeric) = 279.69687789298805534295406251457
absolute error = 6.92330672729891932e-12
relative error = 2.4752892415007946929425739416902e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.02
y[1] (analytic) = 285.34712068888254633034899996128
y[1] (numeric) = 285.34712068887548060042262516086
absolute error = 7.06572992637480042e-12
relative error = 2.4761875673799603983798408225897e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.03
y[1] (analytic) = 291.11150613772467162067457990108
y[1] (numeric) = 291.11150613771746059040512797163
absolute error = 7.21103026945192945e-12
relative error = 2.4770681053192021672027842344512e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.04
y[1] (analytic) = 296.99234007056038880895780547181
y[1] (numeric) = 296.99234007055302954307920057076
absolute error = 7.35926587860490105e-12
relative error = 2.4779312075376971525740016477465e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.05
y[1] (analytic) = 302.99197489937499677560603764282
y[1] (numeric) = 302.9919748993674862795559837653
absolute error = 7.51049605005387752e-12
relative error = 2.4787772192805262175100751447744e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.06
y[1] (analytic) = 309.11281055809621902403333785158
y[1] (numeric) = 309.11281055808855424275545398394
absolute error = 7.66478127788386764e-12
relative error = 2.4796064789567529195142055447465e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.07
y[1] (analytic) = 315.3572954625997743157561150399
y[1] (numeric) = 315.35729546259195213247787187271
absolute error = 7.82218327824316719e-12
relative error = 2.4804193182747692649940129036916e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.08
y[1] (analytic) = 321.72792749010837293818435827891
y[1] (numeric) = 321.72792749010039017317032763768
absolute error = 7.98276501403064123e-12
relative error = 2.4812160623749624189799308781857e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.09
y[1] (analytic) = 328.22725497837591126244297166692
y[1] (numeric) = 328.22725497836776467172288994383
absolute error = 8.14659072008172309e-12
relative error = 2.4819970299597552708479456959902e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.1
y[1] (analytic) = 334.85787774505655159167990148656
y[1] (numeric) = 334.85787774504823786575103828147
absolute error = 8.31372592886320509e-12
relative error = 2.4827625334210728972287920982132e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.11
y[1] (analytic) = 341.62244812766644852356933264668
y[1] (numeric) = 341.62244812765796428607264554771
absolute error = 8.48423749668709897e-12
relative error = 2.4835128789652857586219184028342e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.12
y[1] (analytic) = 348.52367204455412038389619059322
y[1] (numeric) = 348.52367204454546219026573654105
absolute error = 8.65819363045405217e-12
relative error = 2.4842483667356796246682521962058e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.13
y[1] (analytic) = 355.5643100773038680262556199063
y[1] (numeric) = 355.56431007729503236234068288877
absolute error = 8.83566391493701753e-12
relative error = 2.4849692909325011131866860536560e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.14
y[1] (analytic) = 362.74717857500521679762533201989
y[1] (numeric) = 362.74717857499620007828471592964
absolute error = 9.01671934061609025e-12
relative error = 2.4856759399306268132333997298811e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.15
y[1] (analytic) = 370.07515078083010417038592651388
y[1] (numeric) = 370.07515078082090273805385086741
absolute error = 9.20143233207564647e-12
relative error = 2.4863685963949030267798084458733e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.16
y[1] (analytic) = 377.5511579813684589370714443536
y[1] (numeric) = 377.55115798135906906029446921084
absolute error = 9.38987677697514276e-12
relative error = 2.4870475373932022327909183366182e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.17
y[1] (analytic) = 385.17819067918192152420677034578
y[1] (numeric) = 385.17819067917233939615116518079
absolute error = 9.58212805560516499e-12
relative error = 2.4877130345072413887778965101658e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.18
y[1] (analytic) = 392.95929978904474254761547944055
y[1] (numeric) = 392.9592997890349642845444388908
absolute error = 9.77826307104054975e-12
relative error = 2.4883653539412064528725013958830e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.19
y[1] (analytic) = 400.89759785835037191871156398936
y[1] (numeric) = 400.89759785834039355843166134976
absolute error = 9.97836027990263960e-12
relative error = 2.4890047566282264381862076239184e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.2
y[1] (analytic) = 408.99626031217191740972237612172
y[1] (numeric) = 408.996260312161734909998633144
absolute error = 1.018249972374297772e-11
relative error = 2.4896314983347396221207604472997e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.21
y[1] (analytic) = 417.25852672347451346229633428308
y[1] (numeric) = 417.25852672346412269923527328728
absolute error = 1.039076306106099580e-11
relative error = 2.4902458297627936065489779145205e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.22
y[1] (analytic) = 425.68770210898770212340957160981
y[1] (numeric) = 425.68770210897709888980960310724
absolute error = 1.060323359996850257e-11
relative error = 2.4908479966503200919494344034450e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.23
y[1] (analytic) = 434.28715825125619233947468023714
y[1] (numeric) = 434.28715825124537234314316619782
absolute error = 1.081999633151403932e-11
relative error = 2.4914382398694244751336755606668e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=36012424, alloc=4521156, time=1.41
x[1] = 2.24
y[1] (analytic) = 443.0603350473978355399476852174
y[1] (numeric) = 443.06033504738679440198400478485
absolute error = 1.104113796368043255e-11
relative error = 2.4920167955227295459951887274313e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.25
y[1] (analytic) = 452.01074188510833868434614619472
y[1] (numeric) = 452.01074188509707193739007705148
absolute error = 1.126674695606914324e-11
relative error = 2.4925838950378117975557704060676e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.26
y[1] (analytic) = 461.14195904646313500487132617766
y[1] (numeric) = 461.14195904645163809131604089079
absolute error = 1.149691355528528687e-11
relative error = 2.4931397652597680826105919121229e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.27
y[1] (analytic) = 470.45763914007795191053931940542
y[1] (numeric) = 470.4576391400662201807082819266
absolute error = 1.173172983103747882e-11
relative error = 2.4936846285419496536712621441443e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.28
y[1] (analytic) = 479.96150856220095937571163762212
y[1] (numeric) = 479.96150856218898808599867067675
absolute error = 1.197128971296694537e-11
relative error = 2.4942187028348998132020543466562e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.29
y[1] (analytic) = 489.65736898732095515386906374493
y[1] (numeric) = 489.65736898730873946484084311226
absolute error = 1.221568902822063267e-11
relative error = 2.4947422017735307793475115243050e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.3
y[1] (analytic) = 499.54909888888784996575508422116
y[1] (numeric) = 499.54909888887538494021530087799
absolute error = 1.246502553978334317e-11
relative error = 2.4952553347625745635263155745865e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.31
y[1] (analytic) = 509.64065509075376113250764552885
y[1] (numeric) = 509.64065509074104173352206129575
absolute error = 1.271939898558423310e-11
relative error = 2.4957583070603420693676293273360e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.32
y[1] (analytic) = 519.93607434995531177738954968535
y[1] (numeric) = 519.93607434994233286627115637135
absolute error = 1.297891111839331400e-11
relative error = 2.4962513198608238732890559450946e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.33
y[1] (analytic) = 530.439474971470269619843555808
y[1] (numeric) = 530.43947497145702595409703189061
absolute error = 1.324366574652391739e-11
relative error = 2.4967345703741655032812003238421e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.34
y[1] (analytic) = 541.15505845559444954776539691935
y[1] (numeric) = 541.15505845558093577899003951502
absolute error = 1.351376877535740433e-11
relative error = 2.4972082519055494332401744577713e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.35
y[1] (analytic) = 552.0871111785978526943418579303
y[1] (numeric) = 552.08711117858406336609215120044
absolute error = 1.378932824970672986e-11
relative error = 2.4976725539325152460117114063654e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.36
y[1] (analytic) = 563.2400061073323268841319565054
y[1] (numeric) = 563.24000610731825642973492069628
absolute error = 1.407045439703580912e-11
relative error = 2.4981276621807490307507089198901e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.37
y[1] (analytic) = 574.6182045484766143743099532129
y[1] (numeric) = 574.61820454846225711463840124062
absolute error = 1.435725967155197228e-11
relative error = 2.4985737586983720969352074307822e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.38
y[1] (analytic) = 586.2262579331185082337449705
y[1] (numeric) = 586.22625793310385837494578135284
absolute error = 1.464985879918914716e-11
relative error = 2.4990110219287589487110774533034e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.39
y[1] (analytic) = 598.06880963738797401721486537725
y[1] (numeric) = 598.0688096373730256483913656149
absolute error = 1.494836882349976235e-11
relative error = 2.4994396267819134421824237527665e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.4
y[1] (analytic) = 610.15059683986951425885600077355
y[1] (numeric) = 610.15059683985426134970352704473
absolute error = 1.525290915247372882e-11
relative error = 2.4998597447044317768720512958465e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.41
y[1] (analytic) = 622.47645241653676549647469771745
y[1] (numeric) = 622.47645241652120189486839448946
absolute error = 1.556360160630322799e-11
relative error = 2.5002715437480802523663933199276e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.42
y[1] (analytic) = 635.05130687396732693166159958435
y[1] (numeric) = 635.05130687395144636119548717139
absolute error = 1.588057046611241296e-11
relative error = 2.5006751886370152364706406302140e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.43
y[1] (analytic) = 647.8801903216111324337143947146
y[1] (numeric) = 647.88019032159492849119072319934
absolute error = 1.620394252367151526e-11
relative error = 2.5010708408336721957535704796534e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.44
y[1] (analytic) = 660.9682344839012995334327212032
y[1] (numeric) = 660.96823448388476568630060595981
absolute error = 1.653384713211524339e-11
relative error = 2.5014586586033501322132849216988e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.45
y[1] (analytic) = 674.3206747530123265748851362246
y[1] (numeric) = 674.32067475299545615862745046294
absolute error = 1.687041625768576166e-11
relative error = 2.5018387970775173247874448815826e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.46
y[1] (analytic) = 687.94285228308676867448308943365
y[1] (numeric) = 687.94285228306955488995056848725
absolute error = 1.721378453252094640e-11
relative error = 2.5022114083158635651896192375940e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.47
y[1] (analytic) = 701.84021612676811108114018577795
y[1] (numeric) = 701.84021612675054699183167674152
absolute error = 1.756408930850903643e-11
relative error = 2.5025766413671238373979209536005e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.48
y[1] (analytic) = 716.0183254148944815743456103408
y[1] (numeric) = 716.01832541487656010363337912121
absolute error = 1.792147071223121959e-11
relative error = 2.5029346423286976463298824563305e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.49
y[1] (analytic) = 730.4828515802251084480812804319
y[1] (numeric) = 730.48285158020682237638026629824
absolute error = 1.828607170101413366e-11
relative error = 2.5032855544050879213847452642807e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.5
y[1] (analytic) = 745.2395806260890443138577302105
y[1] (numeric) = 745.23958062607038627573761550732
absolute error = 1.865803812011470318e-11
relative error = 2.5036295179651828285626138909362e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.51
y[1] (analytic) = 760.29441544086364546144291111135
y[1] (numeric) = 760.2944154408446079426818509246
absolute error = 1.903751876106018675e-11
relative error = 2.5039666705984033836234820734658e-12 %
Correct digits = 14
h = 0.01
bytes used=40014108, alloc=4521156, time=1.57
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.52
y[1] (analytic) = 775.65337815920862902915272351685
y[1] (numeric) = 775.65337815918920436373155674496
absolute error = 1.942466542116677189e-11
relative error = 2.5042971471697393594249098776737e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.53
y[1] (analytic) = 791.3226125710002330901119361002
y[1] (numeric) = 791.32261257098041345714767557469
absolute error = 1.981963296426052551e-11
relative error = 2.5046210798736954714870602238080e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.54
y[1] (analytic) = 807.3083865789290854380703897118
y[1] (numeric) = 807.30838657890886285868776472251
absolute error = 2.022257938262498929e-11
relative error = 2.5049385982871694302145983239794e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.55
y[1] (analytic) = 823.61709470574485298869730550945
y[1] (numeric) = 823.61709470572421932283710530994
absolute error = 2.063366586020019951e-11
relative error = 2.5052498294212829662750026061738e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.56
y[1] (analytic) = 840.25526065215060308648860930615
y[1] (numeric) = 840.25526065212955002965155089374
absolute error = 2.105305683705841241e-11
relative error = 2.5055548977721866368936067945267e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.57
y[1] (analytic) = 857.2295399063700685675229258467
y[1] (numeric) = 857.22953990634858764744774352119
absolute error = 2.148092007518232551e-11
relative error = 2.5058539253708586409799608840657e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.58
y[1] (analytic) = 874.5467224064316782787854726313
y[1] (numeric) = 874.54672240640976085205990052372
absolute error = 2.191742672557210758e-11
relative error = 2.5061470318319176249101039120895e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.59
y[1] (analytic) = 892.2137352562343021638612880872
y[1] (numeric) = 892.21373525621193941246458000632
absolute error = 2.236275139670808088e-11
relative error = 2.5064343344014689881512499328487e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.6
y[1] (analytic) = 910.2376454964811734277248654367
y[1] (numeric) = 910.2376454964583563555004689955
absolute error = 2.281707222439644120e-11
relative error = 2.5067159480040037727564876276430e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.61
y[1] (analytic) = 928.62566293159039829577035097335
y[1] (numeric) = 928.62566293156711772482732501767
absolute error = 2.328057094302595568e-11
relative error = 2.5069919852883689810210137148069e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.62
y[1] (analytic) = 947.3851430137128552636286144036
y[1] (numeric) = 947.38514301368910183067035026209
absolute error = 2.375343295826414151e-11
relative error = 2.5072625566728276447675199380930e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.63
y[1] (analytic) = 966.52358978501112945155582603505
y[1] (numeric) = 966.52358978498689360413460403024
absolute error = 2.423584742122200481e-11
relative error = 2.5075277703892266553213029135964e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.64
y[1] (analytic) = 986.04865887937643286804416318155
y[1] (numeric) = 986.04865887935170486074004617417
absolute error = 2.472800730411700738e-11
relative error = 2.5077877325262901046215816236963e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.65
y[1] (analytic) = 1005.9681605847842373741860026234
y[1] (numeric) = 1005.9681605847590072647085380969
absolute error = 2.52301094774645265e-11
relative error = 2.5080425470720553439866895156470e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.66
y[1] (analytic) = 1026.2900629675136034339302069935
y[1] (numeric) = 1026.2900629674878610791413783074
absolute error = 2.57423547888286861e-11
relative error = 2.5082923159554688087043818431456e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.67
y[1] (analytic) = 1047.0224950594799340385437450098
y[1] (numeric) = 1047.0224950594536690904005809496
absolute error = 2.62649481431640602e-11
relative error = 2.5085371390871581956162829094141e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.68
y[1] (analytic) = 1068.1737501099561294051851235114
y[1] (numeric) = 1068.1737501099293313066003431238
absolute error = 2.67980985847803876e-11
relative error = 2.5087771143993974191561372247694e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.69
y[1] (analytic) = 1089.7522889029828742683292112061
y[1] (numeric) = 1089.7522889029555322489482481243
absolute error = 2.73420193809630818e-11
relative error = 2.5090123378852800422490596721959e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.7
y[1] (analytic) = 1111.7667431417950661116869539898
y[1] (numeric) = 1111.7667431417671691835796709997
absolute error = 2.78969281072829901e-11
relative error = 2.5092429036371172928569006643526e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.71
y[1] (analytic) = 1134.2259189016182000382001395859
y[1] (numeric) = 1134.2259189015897369914655100638
absolute error = 2.84630467346295221e-11
relative error = 2.5094689038840755654714325771392e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.72
y[1] (analytic) = 1157.1388001522158748699581758666
y[1] (numeric) = 1157.1388001521868342682401739012
absolute error = 2.90406017180019654e-11
relative error = 2.5096904290290687821483296699507e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.73
y[1] (analytic) = 1180.5145523515974864484031660384
y[1] (numeric) = 1180.5145523515678566243160715338
absolute error = 2.96298240870945046e-11
relative error = 2.5099075676849202177256657074427e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.74
y[1] (analytic) = 1204.3625261123236391288848259912
y[1] (numeric) = 1204.3625261122934081793461148112
absolute error = 3.02309495387111800e-11
relative error = 2.5101204067098083565468541293390e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.75
y[1] (analytic) = 1228.6922609418758465188870113203
y[1] (numeric) = 1228.6922609418450023003559635693
absolute error = 3.08442185310477510e-11
relative error = 2.5103290312420107689601573202657e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.76
y[1] (analytic) = 1253.5134890585867192124821138409
y[1] (numeric) = 1253.5134890585552493361022356597
absolute error = 3.14698763798781812e-11
relative error = 2.5105335247339601602906153139354e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.77
y[1] (analytic) = 1278.8361392846570624758546715795
y[1] (numeric) = 1278.8361392846249543024979873608
absolute error = 3.21081733566842187e-11
relative error = 2.5107339689856260104721736295826e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.78
y[1] (analytic) = 1304.6703410178171426305551343654
y[1] (numeric) = 1304.6703410177843832657663670398
absolute error = 3.27593647887673256e-11
relative error = 2.5109304441772352316704431338794e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=44014932, alloc=4521156, time=1.73
x[1] = 2.79
y[1] (analytic) = 1331.0264282832208395972267164636
y[1] (numeric) = 1331.0264282831874158860653334601
absolute error = 3.34237111613830035e-11
relative error = 2.5111230289013449832287102149370e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.8
y[1] (analytic) = 1357.9149438671934972867985361214
y[1] (numeric) = 1357.9149438671593958085765977532
absolute error = 3.41014782219383682e-11
relative error = 2.5113118001942803255622736136554e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.81
y[1] (analytic) = 1385.3466435344870260966744182592
y[1] (numeric) = 1385.3466435344522331595881236024
absolute error = 3.47929370862946568e-11
relative error = 2.5114968335669495005775148034189e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.82
y[1] (analytic) = 1413.3325003307292157837336087014
y[1] (numeric) = 1413.3325003306937174193863915155
absolute error = 3.54983643472171859e-11
relative error = 2.5116782030350488845399939808701e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.83
y[1] (analytic) = 1441.883708971788295806048323885
y[1] (numeric) = 1441.8837089717520777638633077379
absolute error = 3.62180421850161471e-11
relative error = 2.5118559811486700470918314100083e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.84
y[1] (analytic) = 1471.0116903218085474830959646686
y[1] (numeric) = 1471.0116903217715952246155421766
absolute error = 3.69522584804224920e-11
relative error = 2.5120302390213203523535115644056e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.85
y[1] (analytic) = 1500.7280959617082419272676755088
y[1] (numeric) = 1500.728095961670540620337931444
absolute error = 3.77013069297440648e-11
relative error = 2.5122010463583691543662681415038e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.86
y[1] (analytic) = 1531.0448128499673638359638747203
y[1] (numeric) = 1531.0448128499288983488015266808
absolute error = 3.84654871623480395e-11
relative error = 2.5123684714849304772062828856658e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.87
y[1] (analytic) = 1561.9739680775694983784585016694
y[1] (numeric) = 1561.9739680775302532735979850058
absolute error = 3.92451048605166636e-11
relative error = 2.5125325813731938380187830935644e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.88
y[1] (analytic) = 1593.5279337189999213323572141254
y[1] (numeric) = 1593.5279337189598808604754898798
absolute error = 4.00404718817242456e-11
relative error = 2.5126934416692136974968894072993e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.89
y[1] (analytic) = 1625.7193317812403563865410600266
y[1] (numeric) = 1625.7193317811995044801576757229
absolute error = 4.08519063833843037e-11
relative error = 2.5128511167191685857046618631457e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.9
y[1] (analytic) = 1658.5610392527400635009933927402
y[1] (numeric) = 1658.5610392526983837680432759676
absolute error = 4.16797329501167726e-11
relative error = 2.5130056695951001701349973421888e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.91
y[1] (analytic) = 1692.0661932543829140793660733212
y[1] (numeric) = 1692.0661932543403897966424871409
absolute error = 4.25242827235861803e-11
relative error = 2.5131571621201427712470396529916e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.92
y[1] (analytic) = 1726.2481962945109084648307225699
y[1] (numeric) = 1726.2481962944675225712957598415
absolute error = 4.33858935349627284e-11
relative error = 2.5133056548932531995692186510577e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.93
y[1] (analytic) = 1761.1207216301062152341278297455
y[1] (numeric) = 1761.1207216300619503240877704809
absolute error = 4.42649100400592646e-11
relative error = 2.5134512073134509627884119472068e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.94
y[1] (analytic) = 1796.6977187362762765889116340028
y[1] (numeric) = 1796.6977187362311149050544357989
absolute error = 4.51616838571982039e-11
relative error = 2.5135938776035785274712263645458e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.95
y[1] (analytic) = 1832.993418886229846813987748242
y[1] (numeric) = 1832.9934188861837702402798846963
absolute error = 4.60765737078635457e-11
relative error = 2.5137337228335910575986757093025e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.96
y[1] (analytic) = 1870.0223408439760286184993360234
y[1] (numeric) = 1870.0223408439290186729391417733
absolute error = 4.70099455601942501e-11
relative error = 2.5138707989433849847204220692496e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.97
y[1] (analytic) = 1907.7992966720234628782641765141
y[1] (numeric) = 1907.799296671975500705488800141
absolute error = 4.79621727753763731e-11
relative error = 2.5140051607651745648661567320406e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.98
y[1] (analytic) = 1946.3393976564028288921812360878
y[1] (numeric) = 1946.3393976563538952559242435679
absolute error = 4.89336362569925199e-11
relative error = 2.5141368620454253906937029317154e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 2.99
y[1] (analytic) = 1985.6580603513827431541626574816
y[1] (numeric) = 1985.6580603513328184295592691255
absolute error = 4.99247246033883561e-11
relative error = 2.5142659554663535279327554170314e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3
y[1] (analytic) = 2025.7710127462970235973865467674
y[1] (numeric) = 2025.7710127462460877631234296399
absolute error = 5.09358342631171275e-11
relative error = 2.5143924926669989868366252825853e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.01
y[1] (analytic) = 2066.6943005569501324420281151876
y[1] (numeric) = 2066.6943005568981650723345908202
absolute error = 5.19673696935243674e-11
relative error = 2.5145165242638819049259306373423e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.02
y[1] (analytic) = 2108.4442936441174437101326530159
y[1] (numeric) = 2108.444293644064423966610116788
absolute error = 5.30197435225362279e-11
relative error = 2.5146380998712497286997685787561e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.03
y[1] (analytic) = 2151.037692561707821095780926362
y[1] (numeric) = 2151.0376925616537277190672102101
absolute error = 5.40933767137161519e-11
relative error = 2.5147572681209234544361566404317e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.04
y[1] (analytic) = 2194.4915352372078585316935607884
y[1] (numeric) = 2194.4915352371526698329589048769
absolute error = 5.51886987346559115e-11
relative error = 2.5148740766817509076395009957256e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.05
y[1] (analytic) = 2238.8232037870800502222785707284
y[1] (numeric) = 2238.8232037870237440745498023577
absolute error = 5.63061477287683707e-11
relative error = 2.5149885722786748062046255084995e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.06
y[1] (analytic) = 2284.0504314698411402843224891553
y[1] (numeric) = 2284.0504314697836941136319384619
absolute error = 5.74461706905506934e-11
relative error = 2.5151008007114233073883176190252e-12 %
Correct digits = 14
h = 0.01
bytes used=48016388, alloc=4521156, time=1.89
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.07
y[1] (analytic) = 2330.1913097796019760441288141408
y[1] (numeric) = 2330.1913097795433668204844260397
absolute error = 5.86092236443881011e-11
relative error = 2.5152108068728303693087003068694e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.08
y[1] (analytic) = 2377.26429568290637551421508774
y[1] (numeric) = 2377.2642956828465797423881180317
absolute error = 5.97957718269697083e-11
relative error = 2.5153186347667934405535019944710e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.09
y[1] (analytic) = 2425.2882190017638410890307440421
y[1] (numeric) = 2425.2882190017028347991573546409
absolute error = 6.10062898733894012e-11
relative error = 2.5154243275258755178964411292262e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.1
y[1] (analytic) = 2474.2822899458294309869227446618
y[1] (numeric) = 2474.2822899457671897249157384585
absolute error = 6.22412620070062033e-11
relative error = 2.5155279274285586505156175732744e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.11
y[1] (analytic) = 2524.266106796743760817329804249
y[1] (numeric) = 2524.266106796680259635096664173
absolute error = 6.35011822331400760e-11
relative error = 2.5156294759161558502246250879353e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.12
y[1] (analytic) = 2575.2596637477069737330648859162
y[1] (numeric) = 2575.259663747642187178528205283
absolute error = 6.47865545366806332e-11
relative error = 2.5157290136093880924122003858228e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.13
y[1] (analytic) = 2627.2833589014226132847935269402
y[1] (numeric) = 2627.2833589013565153917098391231
absolute error = 6.60978930836878171e-11
relative error = 2.5158265803246330841305560205418e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.14
y[1] (analytic) = 2680.3580024296106831675232909724
y[1] (numeric) = 2680.3580024295432474450962257948
absolute error = 6.74357224270651776e-11
relative error = 2.5159222150898522765239552085069e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.15
y[1] (analytic) = 2734.5048248973538078779609962861
y[1] (numeric) = 2734.504824897285007300244608258
absolute error = 6.88005777163880281e-11
relative error = 2.5160159561602025212071570622914e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.16
y[1] (analytic) = 2789.7454857556063437397626993832
y[1] (numeric) = 2789.7454857555361507348507289724
absolute error = 7.01930049119704108e-11
relative error = 2.5161078410333385784767569817267e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.17
y[1] (analytic) = 2846.1020820052635571760511378048
y[1] (numeric) = 2846.1020820051919436150478813025
absolute error = 7.16135610032565023e-11
relative error = 2.5161979064644126417012558832083e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.18
y[1] (analytic) = 2903.5971570362566134229723060564
y[1] (numeric) = 2903.597157036183550608740682239
absolute error = 7.30628142316238174e-11
relative error = 2.5162861884807768202408003821618e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.19
y[1] (analytic) = 2962.2537096452091315359478426827
y[1] (numeric) = 2962.2537096451345901916301553457
absolute error = 7.45413443176873370e-11
relative error = 2.5163727223963945220472921757232e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.2
y[1] (analytic) = 3022.0952032352624885476496132563
y[1] (numeric) = 3022.0952032351864388049564177724
absolute error = 7.60497426931954839e-11
relative error = 2.5164575428259664677910742766492e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.21
y[1] (analytic) = 3083.1455752017499255653326040674
y[1] (numeric) = 3083.1455752016723369525949933597
absolute error = 7.75886127376107077e-11
relative error = 2.5165406836987769785672998992353e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.22
y[1] (analytic) = 3145.4292465074738505939550505082
y[1] (numeric) = 3145.4292465073946920239355811926
absolute error = 7.91585700194693156e-11
relative error = 2.5166221782722661225939482822297e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.23
y[1] (analytic) = 3208.9711314514165766782813695229
y[1] (numeric) = 3208.9711314513358164357387524291
absolute error = 8.07602425426170938e-11
relative error = 2.5167020591453330690438773349733e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.24
y[1] (analytic) = 3273.7966476347921099104379179504
y[1] (numeric) = 3273.7966476347097156394404987307
absolute error = 8.23942709974192197e-11
relative error = 2.5167803582713760584384169076366e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.25
y[1] (analytic) = 3339.931726128425540900586861026
y[1] (numeric) = 3339.9317261283414795915698160752
absolute error = 8.40613090170449508e-11
relative error = 2.5168571069710741580194066503676e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.26
y[1] (analytic) = 3407.4028218455271270341725205556
y[1] (numeric) = 3407.4028218454413650107335909483
absolute error = 8.57620234389296073e-11
relative error = 2.5169323359449159072727921829351e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.27
y[1] (analytic) = 3476.2369241240103134541415932972
y[1] (numeric) = 3476.2369241239228163595700748595
absolute error = 8.74970945715184377e-11
relative error = 2.5170060752854798966049613608839e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.28
y[1] (analytic) = 3546.4615675225867610759850551525
y[1] (numeric) = 3546.4615675224974938595186560847
absolute error = 8.92672164663990678e-11
relative error = 2.5170783544894721695296117649248e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.29
y[1] (analytic) = 3618.1048428349569635966607942885
y[1] (numeric) = 3618.1048428348658904994648628986
absolute error = 9.10730971959313899e-11
relative error = 2.5171492024695252694908747584728e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.3
y[1] (analytic) = 3691.1954083265022766020335280146
y[1] (numeric) = 3691.195408326409361142897042067
absolute error = 9.29154591364859476e-11
relative error = 2.5172186475657636440321141316741e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.31
y[1] (analytic) = 3765.7625011979731854090330158873
y[1] (numeric) = 3765.7625011978783903697756117713
absolute error = 9.47950392574041160e-11
relative error = 2.5172867175571400512858216988816e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.32
y[1] (analytic) = 3841.8359492807594398008823404734
y[1] (numeric) = 3841.8359492806627272114665448084
absolute error = 9.67125894157956650e-11
relative error = 2.5173534396725474959880207281495e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.33
y[1] (analytic) = 3919.4461829684203196483046508716
y[1] (numeric) = 3919.4461829683216507716473592441
absolute error = 9.86688766572916275e-11
relative error = 2.5174188406017111097293863627329e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=52019092, alloc=4521156, time=2.05
TOP MAIN SOLVE Loop
x[1] = 3.34
y[1] (analytic) = 3998.6242473892478026121482360621
y[1] (numeric) = 3998.6242473891471379286253632826
absolute error = 1.006646835228727795e-10
relative error = 2.5174829465058643818499898083159e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.35
y[1] (analytic) = 4079.4018148247318214975172408345
y[1] (numeric) = 4079.4018148246291206891553443679
absolute error = 1.027008083618964666e-10
relative error = 2.5175457830282139842818993644539e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.36
y[1] (analytic) = 4161.8111973788951629440941842282
y[1] (numeric) = 4161.8111973787903848784427372368
absolute error = 1.047780656514469914e-10
relative error = 2.5176073753041973670543860709728e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.37
y[1] (analytic) = 4245.8853599035659103388480676566
y[1] (numeric) = 4245.8853599034590130525259303494
absolute error = 1.068972863221373072e-10
relative error = 2.5176677479715372525613545273512e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.38
y[1] (analytic) = 4331.657933184757712267556904087
y[1] (numeric) = 4331.6579331846486529494664117444
absolute error = 1.090593180904923426e-10
relative error = 2.5177269251800970391143059960727e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.39
y[1] (analytic) = 4419.163227395432604433273118765
y[1] (numeric) = 4419.1632273953213394074750718509
absolute error = 1.112650257980469141e-10
relative error = 2.5177849306015410409028968891992e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.4
y[1] (analytic) = 4508.4362458200276695430617859214
y[1] (numeric) = 4508.4362458199141542513044920497
absolute error = 1.135152917572938717e-10
relative error = 2.5178417874388034596169432714485e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.41
y[1] (analytic) = 4599.5126988562355288230951285238
y[1] (numeric) = 4599.5126988561197178069905076632
absolute error = 1.158110161046208606e-10
relative error = 2.5178975184353698563873672722698e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.42
y[1] (analytic) = 4692.4290182996395640516050956072
y[1] (numeric) = 4692.4290182995214109344447187297
absolute error = 1.181531171603768775e-10
relative error = 2.5179521458843748175594464312537e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.43
y[1] (analytic) = 4787.2223719169179146628496675018
y[1] (numeric) = 4787.2223719167973721310534548465
absolute error = 1.205425317962126553e-10
relative error = 2.5180056916375195060088716181650e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.44
y[1] (analytic) = 4883.9306783134457258329119138581
y[1] (numeric) = 4883.9306783133227456171020720431
absolute error = 1.229802158098418150e-10
relative error = 2.5180581771138126148040838228156e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.45
y[1] (analytic) = 4982.5926221012428866839059134053
y[1] (numeric) = 4982.5926221011174195395985407102
absolute error = 1.254671443073726951e-10
relative error = 2.5181096233081382391108435987650e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.46
y[1] (analytic) = 5083.2476693733346399438709371715
y[1] (numeric) = 5083.2476693732066356317775733747
absolute error = 1.280043120933637968e-10
relative error = 2.5181600507996541028096955759616e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.47
y[1] (analytic) = 5185.9360834907150136337769987265
y[1] (numeric) = 5185.9360834905844208997082398557
absolute error = 1.305927340687588708e-10
relative error = 2.5182094797600234674560013471420e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.48
y[1] (analytic) = 5290.6989411882280706499689208235
y[1] (numeric) = 5290.6989411880948372043320599943
absolute error = 1.332334456368608292e-10
relative error = 2.5182579299614840980694473586363e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.49
y[1] (analytic) = 5397.578149005809543489828512053
y[1] (numeric) = 5397.5781490056736159867110051833
absolute error = 1.359275031175068697e-10
relative error = 2.5183054207847573612106083952519e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.5
y[1] (analytic) = 5506.616460051661569860688045219
y[1] (numeric) = 5506.6164600515228938765184347236
absolute error = 1.386759841696104954e-10
relative error = 2.5183519712268007719035266135068e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.51
y[1] (analytic) = 5617.8574911040660225782152188525
y[1] (numeric) = 5617.8574911039245425899929794016
absolute error = 1.414799882222394509e-10
relative error = 2.5183975999084070515641723127502e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.52
y[1] (analytic) = 5731.345740058677387113447031906
y[1] (numeric) = 5731.3457400585330464765326298996
absolute error = 1.443406369144020064e-10
relative error = 2.5184423250816526425028224269174e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.53
y[1] (analytic) = 5847.126603728274336573164848927
y[1] (numeric) = 5847.126603728127077498621131408
absolute error = 1.472590745437175190e-10
relative error = 2.5184861646371988192231981344959e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.54
y[1] (analytic) = 5965.246396002090142076788228347
y[1] (numeric) = 5965.2463960019399056082640776119
absolute error = 1.502364685241507351e-10
relative error = 2.5185291361114481324236311319629e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.55
y[1] (analytic) = 6085.752366371985892821572091585
y[1] (numeric) = 6085.7523663718326188117190986415
absolute error = 1.532740098529929435e-10
relative error = 2.5185712566935592220322849638226e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.56
y[1] (analytic) = 6208.692718832877242143069811461
y[1] (numeric) = 6208.692718832720869229482534689
absolute error = 1.563729135872767720e-10
relative error = 2.5186125432323227002012696294142e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.57
y[1] (analytic) = 6334.1166311649751022783364524965
y[1] (numeric) = 6334.1166311648155678590066372947
absolute error = 1.595344193298152018e-10
relative error = 2.5186530122429008904211930088677e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.58
y[1] (analytic) = 6462.074274605553441209748019626
y[1] (numeric) = 6462.074274605390681418022960406
absolute error = 1.627597917250592200e-10
relative error = 2.5186926799134340900533910519059e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.59
y[1] (analytic) = 6592.616833918113151001908762417
y[1] (numeric) = 6592.6168339179471006809437899534
absolute error = 1.660503209649724636e-10
relative error = 2.5187315621115160582823206400958e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.6
y[1] (analytic) = 6725.796527866969920771400752379
y[1] (numeric) = 6725.7965278668005134480956271739
absolute error = 1.694073233051252051e-10
relative error = 2.5187696743905412178925741697022e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=56020344, alloc=4521156, time=2.20
x[1] = 3.61
y[1] (analytic) = 6861.6666301054562224367085588645
y[1] (numeric) = 6861.6666301052833902951173447303
absolute error = 1.728321415912141342e-10
relative error = 2.5188070319959262645435008415368e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.62
y[1] (analytic) = 7000.281490486092968555692288076
y[1] (numeric) = 7000.2814904859166424098960695369
absolute error = 1.763261457962185391e-10
relative error = 2.5188436498712084966323903430664e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.63
y[1] (analytic) = 7141.6965568012551950531545809235
y[1] (numeric) = 7141.6965568010753043195861731586
absolute error = 1.798907335684077649e-10
relative error = 2.5188795426640234265824689154382e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.64
y[1] (analytic) = 7285.968396963028324991000067739
y[1] (numeric) = 7285.9683969628447976602096485801
absolute error = 1.835273307904191589e-10
relative error = 2.5189147247319640530933495207386e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.65
y[1] (analytic) = 7433.154721631127251621855307615
y[1] (numeric) = 7433.1547216309400142297056774806
absolute error = 1.872373921496301344e-10
relative error = 2.5189492101483240399811993918061e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.66
y[1] (analytic) = 7583.314407297929710068981204305
y[1] (numeric) = 7583.3144072977386876672611517846
absolute error = 1.910224017200525204e-10
relative error = 2.5189830127077272534554557369519e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.67
y[1] (analytic) = 7736.507519839858258785698854624
y[1] (numeric) = 7736.5075198396633749121428726708
absolute error = 1.948838735559819532e-10
relative error = 2.5190161459316457759684866003792e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.68
y[1] (analytic) = 7892.795338544531737609525961409
y[1] (numeric) = 7892.7953385443329142572283216273
absolute error = 1.988233522976397817e-10
relative error = 2.5190486230738086631171095945187e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.69
y[1] (analytic) = 8052.240380623297383360536430432
y[1] (numeric) = 8052.240380623094540946747380679
absolute error = 2.028424137890497530e-10
relative error = 2.5190804571255036281714940072393e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.7
y[1] (analytic) = 8214.9064262189489426683018510255
y[1] (numeric) = 8214.9064262187420000025934543933
absolute error = 2.069426657083966322e-10
relative error = 2.5191116608207737101009191408513e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.71
y[1] (analytic) = 8380.858543918634202713232989685
y[1] (numeric) = 8380.8585439184230769650218707726
absolute error = 2.111257482111189124e-10
relative error = 2.5191422466415110582227676853585e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.72
y[1] (analytic) = 8550.163116782157443071253903533
y[1] (numeric) = 8550.1631167819420497366679106732
absolute error = 2.153933345859928598e-10
relative error = 2.5191722268224498598457423566882e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.73
y[1] (analytic) = 8722.8878688960884766912065213705
y[1] (numeric) = 8722.8878688958687295592820510368
absolute error = 2.197471319244703337e-10
relative error = 2.5192016133560603778025933494543e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.74
y[1] (analytic) = 8899.1018924643002776808846314025
y[1] (numeric) = 8899.1018924640760887990810932713
absolute error = 2.241888818035381312e-10
relative error = 2.5192304179973461233611079475302e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.75
y[1] (analytic) = 9078.875675445771772164796189682
y[1] (numeric) = 9078.875675445543051803813817682
absolute error = 2.287203609823720000e-10
relative error = 2.5192586522685459734568679634256e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.76
y[1] (analytic) = 9262.281129750711281838947687904
y[1] (numeric) = 9262.2811297504779384568346239022
absolute error = 2.333433821130640018e-10
relative error = 2.5192863274637432473671959937030e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.77
y[1] (analytic) = 9449.391620006279445553397754989
y[1] (numeric) = 9449.3916200060413857589320474717
absolute error = 2.380597944657075173e-10
relative error = 2.5193134546533834776475865516588e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.78
y[1] (analytic) = 9640.2819929034182916392992444935
y[1] (numeric) = 9640.2819929031754201546311145534
absolute error = 2.428714846681299401e-10
relative error = 2.5193400446887027255300704039304e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.79
y[1] (analytic) = 9835.028607136525583905632173702
y[1] (numeric) = 9835.0286071362778035281716047373
absolute error = 2.477803774605689647e-10
relative error = 2.5193661082060682348765746142349e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.8
y[1] (analytic) = 10033.709363947950710245006800984
y[1] (numeric) = 10033.709363947697921808541206641
absolute error = 2.52788436465594343e-10
relative error = 2.5193916556312330960088054324971e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.81
y[1] (analytic) = 10236.403738289530319469354515454
y[1] (numeric) = 10236.40373828927242180438093236
absolute error = 2.57897664973583094e-10
relative error = 2.5194166971835066827048623886043e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.82
y[1] (analytic) = 10443.192810613628736122922507893
y[1] (numeric) = 10443.192810613365626016178445523
absolute error = 2.63110106744062370e-10
relative error = 2.5194412428798425540508312397629e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.83
y[1] (analytic) = 10654.159299306399993324688065854
y[1] (numeric) = 10654.159299306131565477864825341
absolute error = 2.68427846823240513e-10
relative error = 2.5194653025388453174957840093417e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.84
y[1] (analytic) = 10869.387593776245220902589184346
y[1] (numeric) = 10869.387593775971367890211131006
absolute error = 2.73853012378053340e-10
relative error = 2.5194888857846982100247603753784e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.85
y[1] (analytic) = 11088.963788210701212960139460568
y[1] (numeric) = 11088.963788210421825186592401287
absolute error = 2.79387773547059281e-10
relative error = 2.5195120020510129079610104864310e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.86
y[1] (analytic) = 11312.975716015263380400302753712
y[1] (numeric) = 11312.975716014978346055994229972
absolute error = 2.85034344308523740e-10
relative error = 2.5195346605846031132808054829761e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.87
y[1] (analytic) = 11541.512984947919076778065694478
y[1] (numeric) = 11541.512984947628281794699654564
absolute error = 2.90794983366039914e-10
relative error = 2.5195568704491833353790712732079e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.88
y[1] (analytic) = 11774.667012963445579278739601913
y[1] (numeric) = 11774.667012963148907283687561556
absolute error = 2.96671995052040357e-10
relative error = 2.5195786405289945873449557892481e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=60021864, alloc=4521156, time=2.36
TOP MAIN SOLVE Loop
x[1] = 3.89
y[1] (analytic) = 12012.531064781810921944728573167
y[1] (numeric) = 12012.5310647815082542144790125
absolute error = 3.02667730249560667e-10
relative error = 2.5195999795323581039665137358617e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.9
y[1] (analytic) = 12255.200289195305429069233325272
y[1] (numeric) = 12255.200289194996644481900701216
absolute error = 3.08784587332624056e-10
relative error = 2.5196208959951588727409544649819e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.91
y[1] (analytic) = 12502.771757129327298805301142013
y[1] (numeric) = 12502.771757129012273792175519083
absolute error = 3.15025013125622930e-10
relative error = 2.5196413982842600318615001905972e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.92
y[1] (analytic) = 12755.344500472047058707573070894
y[1] (numeric) = 12755.344500471725667203690989617
absolute error = 3.21391503882081277e-10
relative error = 2.5196614946008497773254921775704e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.93
y[1] (analytic) = 13013.019551688483276724707577043
y[1] (numeric) = 13013.019551688155390118424387689
absolute error = 3.27886606283189354e-10
relative error = 2.5196811929837218943522777531571e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.94
y[1] (analytic) = 13275.899984234835686121596322762
y[1] (numeric) = 13275.899984234501173203139812637
absolute error = 3.34512918456510125e-10
relative error = 2.5197005013124914261898036049667e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.95
y[1] (analytic) = 13544.090953789241996446300779627
y[1] (numeric) = 13544.090953788900723355285514703
absolute error = 3.41273091015264924e-10
relative error = 2.5197194273107465899564486411230e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.96
y[1] (analytic) = 13817.699740315451243016850558706
y[1] (numeric) = 13817.699740315103073188731944615
absolute error = 3.48169828118614091e-10
relative error = 2.5197379785491383548177974792686e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.97
y[1] (analytic) = 14096.835790976239705124154211152
y[1] (numeric) = 14096.835790975884499235600854467
absolute error = 3.55205888553356685e-10
relative error = 2.5197561624484087493925894008112e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.98
y[1] (analytic) = 14381.610763913735331504811679101
y[1] (numeric) = 14381.610763913372947417974197108
absolute error = 3.62384086837481993e-10
relative error = 2.5197739862823592941184572674113e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 3.99
y[1] (analytic) = 14672.138572914163386599459752515
y[1] (numeric) = 14672.138572913793679305113738262
absolute error = 3.69707294346014253e-10
relative error = 2.5197914571807606158410025885118e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4
y[1] (analytic) = 14968.535432974879811393036276224
y[1] (numeric) = 14968.535432974502632952576675278
absolute error = 3.77178440459600946e-10
relative error = 2.5198085821322044277273687512066e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.01
y[1] (analytic) = 15270.91990679191971974984488784
y[1] (numeric) = 15270.919906791534919236108583726
absolute error = 3.84800513736304114e-10
relative error = 2.5198253679868990598820357096556e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.02
y[1] (analytic) = 15579.412952186656669484198775682
y[1] (numeric) = 15579.412952186264092921091712241
absolute error = 3.92576563107063441e-10
relative error = 2.5198418214594096868753048984768e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.03
y[1] (analytic) = 15894.137970490544004238960128112
y[1] (numeric) = 15894.137970490143494539864818843
absolute error = 4.00509699095309269e-10
relative error = 2.5198579491313441575416081868018e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.04
y[1] (analytic) = 16215.220855907292807847213041721
y[1] (numeric) = 16215.220855906884204752151828267
absolute error = 4.08603095061213454e-10
relative error = 2.5198737574539857886615918158373e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.05
y[1] (analytic) = 16542.790045872232000529962843293
y[1] (numeric) = 16542.79004587181514054149176755
absolute error = 4.16859988471075743e-10
relative error = 2.5198892527508739385659749542959e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.06
y[1] (analytic) = 16876.976572428994992435428360352
y[1] (numeric) = 16876.976572428569708753236006893
absolute error = 4.25283682192353459e-10
relative error = 2.5199044412203334966684742934936e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.07
y[1] (analytic) = 17217.91411464408425421296526947
y[1] (numeric) = 17217.91411464365037666715041694
absolute error = 4.33877545814852530e-10
relative error = 2.5199193289379543386857064774735e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.08
y[1] (analytic) = 17565.739052080280329320029244022
y[1] (numeric) = 17565.739052079837684303030635693
absolute error = 4.42645016998608329e-10
relative error = 2.5199339218590215782108183914792e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.09
y[1] (analytic) = 17920.590519350285364655394969162
y[1] (numeric) = 17920.590519349833775052545973626
absolute error = 4.51589602848995536e-10
relative error = 2.5199482258208978284621007591697e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.1
y[1] (analytic) = 18282.610461772423344322496548152
y[1] (numeric) = 18282.610461771962629441176931116
absolute error = 4.60714881319617036e-10
relative error = 2.5199622465453581450650042862020e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.11
y[1] (analytic) = 18651.943692150660048702292170486
y[1] (numeric) = 18651.943692150190024199648637402
absolute error = 4.70024502643533084e-10
relative error = 2.5199759896408789080678561954995e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.12
y[1] (analytic) = 19028.737948701655503896309273129
y[1] (numeric) = 19028.737948701175981705515869946
absolute error = 4.79522190793403183e-10
relative error = 2.5199894606048811947833700589091e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.13
y[1] (analytic) = 19413.143954152020514890644955111
y[1] (numeric) = 19413.143954151531303145673830299
absolute error = 4.89211744971124812e-10
relative error = 2.5200026648259298792282249183047e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.14
y[1] (analytic) = 19805.315476029416973028113941776
y[1] (numeric) = 19805.315476028917875986986376938
absolute error = 4.99097041127564838e-10
relative error = 2.5200156075858891089567625594148e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.15
y[1] (analytic) = 20205.409388171619181803588885246
y[1] (numeric) = 20205.409388171109999770075893702
absolute error = 5.09182033512991544e-10
relative error = 2.5200282940620351268307189639372e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=64022688, alloc=4521156, time=2.52
x[1] = 4.16
y[1] (analytic) = 20613.585733478140645644603836824
y[1] (numeric) = 20613.585733477621174888345009366
absolute error = 5.19470756258827458e-10
relative error = 2.5200407293291272381964421600596e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.17
y[1] (analytic) = 21030.007787929527809092246240923
y[1] (numeric) = 21030.007787928997841767254885208
absolute error = 5.29967324991355715e-10
relative error = 2.5200529183614378008313274545274e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.18
y[1] (analytic) = 21454.842125899929317479974285456
y[1] (numeric) = 21454.842125899388641541496260016
absolute error = 5.40675938478025440e-10
relative error = 2.5200648660347419706358753654412e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.19
y[1] (analytic) = 21888.25868678906669766049915105
y[1] (numeric) = 21888.258686788515096780192136333
absolute error = 5.51600880307014717e-10
relative error = 2.5200765771282681009809874331478e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.2
y[1] (analytic) = 22330.430843000260135491144423298
y[1] (numeric) = 22330.43084299969738897054370032
absolute error = 5.62746520600722978e-10
relative error = 2.5200880563266095078475392174210e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.21
y[1] (analytic) = 22781.535469291701466774438913616
y[1] (numeric) = 22781.535469291127349456675035392
absolute error = 5.74117317763878224e-10
relative error = 2.5200993082215983330115768213382e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.22
y[1] (analytic) = 23241.753013528715815546288208329
y[1] (numeric) = 23241.753013528130097726021249963
absolute error = 5.85717820266958366e-10
relative error = 2.5201103373141423550390743390681e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.23
y[1] (analytic) = 23711.267568865313727743106994798
y[1] (numeric) = 23711.267568864716175074641354731
absolute error = 5.97552668465640067e-10
relative error = 2.5201211480160254279935176651686e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.24
y[1] (analytic) = 24190.266947383907383534906500663
y[1] (numeric) = 24190.266947383297756938449497784
absolute error = 6.09626596457002879e-10
relative error = 2.5201317446516722276065057685775e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.25
y[1] (analytic) = 24678.942755222647756685244710916
y[1] (numeric) = 24678.942755222025812251271479716
absolute error = 6.21944433973231200e-10
relative error = 2.5201421314598780918442341543686e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.26
y[1] (analytic) = 25177.4904692204346575129682008
y[1] (numeric) = 25177.490469219800146404654629256
absolute error = 6.34511108313571544e-10
relative error = 2.5201523125955045908389137306694e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.27
y[1] (analytic) = 25686.109515110258685420023397653
y[1] (numeric) = 25686.109515109611353773708079713
absolute error = 6.47331646315317940e-10
relative error = 2.5201622921311415353367307076276e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.28
y[1] (analytic) = 26205.00334729215347035814223443
y[1] (numeric) = 26205.003347291493059181777620557
absolute error = 6.60411176364613873e-10
relative error = 2.5201720740587360583123249779678e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.29
y[1] (analytic) = 26734.379530217668447784534048192
y[1] (numeric) = 26734.379530216994692854086173074
absolute error = 6.73754930447875118e-10
relative error = 2.5201816622911894364594602585821e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.3
y[1] (analytic) = 27274.44982141841704135733812048
y[1] (numeric) = 27274.449821417729673111093466403
absolute error = 6.87368246244654077e-10
relative error = 2.5201910606639223401969201460466e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.31
y[1] (analytic) = 27825.430256211912779705984879382
y[1] (numeric) = 27825.430256211211523136722096625
absolute error = 7.01256569262782757e-10
relative error = 2.5202002729364090036713020733980e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.32
y[1] (analytic) = 28387.541234118576811149381054288
y[1] (numeric) = 28387.541234117861385694364405772
absolute error = 7.15425455016648516e-10
relative error = 2.5202093027936810857877526732197e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.33
y[1] (analytic) = 28961.007607024484771609936053583
y[1] (numeric) = 28961.007607023754891038686579682
absolute error = 7.29880571249473901e-10
relative error = 2.5202181538478017614677608647779e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.34
y[1] (analytic) = 29546.058769125119279989560237174
y[1] (numeric) = 29546.058769124374652289359747682
absolute error = 7.44627700200489492e-10
relative error = 2.5202268296393105381785737209618e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.35
y[1] (analytic) = 30142.928748686106761271808869531
y[1] (numeric) = 30142.928748685347088530890962828
absolute error = 7.59672740917906703e-10
relative error = 2.5202353336386395587015311333457e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.36
y[1] (analytic) = 30751.8563016576441155722167219
y[1] (numeric) = 30751.856301656869093860598106181
absolute error = 7.75021711618615719e-10
relative error = 2.5202436692475018105448075527880e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.37
y[1] (analytic) = 31373.085007180062252013441728478
y[1] (numeric) = 31373.085007179271571261346175984
absolute error = 7.90680752095552494e-10
relative error = 2.5202518398002518496183204148886e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.38
y[1] (analytic) = 32006.863365018729986263260427168
y[1] (numeric) = 32006.863365017923330137086729372
absolute error = 8.06656126173697796e-10
relative error = 2.5202598485652196043502098610723e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.39
y[1] (analytic) = 32653.444894967273562443804234648
y[1] (numeric) = 32653.44489496645060821958854394
absolute error = 8.22954224215690708e-10
relative error = 2.5202676987460177188593659636742e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.4
y[1] (analytic) = 33313.088238258874412614732352123
y[1] (numeric) = 33313.088238258034831049054293224
absolute error = 8.39581565678058899e-10
relative error = 2.5202753934828230705893395390006e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.41
y[1] (analytic) = 33986.057261026211025102800167936
y[1] (numeric) = 33986.057261025354480301081079777
absolute error = 8.56544801719088159e-10
relative error = 2.5202829358536328719422792101616e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.42
y[1] (analytic) = 34672.62115985143027790943957207
y[1] (numeric) = 34672.621159850556427191580197674
absolute error = 8.73850717859374396e-10
relative error = 2.5202903288754959082461407878859e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.43
y[1] (analytic) = 35373.054569448369633081429900154
y[1] (numeric) = 35373.054569447478126844733777804
absolute error = 8.91506236696122350e-10
relative error = 2.5202975755057193998024638962691e-12 %
Correct digits = 14
h = 0.01
bytes used=68023640, alloc=4521156, time=2.68
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.44
y[1] (analytic) = 36087.637672520104516704514009854
y[1] (numeric) = 36087.637672519194998283841733078
absolute error = 9.09518420672276776e-10
relative error = 2.5203046786430519600115494633414e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.45
y[1] (analytic) = 36816.656311835765368258785706158
y[1] (numeric) = 36816.656311834837473783884112366
absolute error = 9.27894474901593792e-10
relative error = 2.5203116411288431415947942369503e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.46
y[1] (analytic) = 37560.402104571456580533076238373
y[1] (numeric) = 37560.402104570509938783025455928
absolute error = 9.46641750050782445e-10
relative error = 2.5203184657481799979110568690718e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.47
y[1] (analytic) = 38319.172558961015222240218908661
y[1] (numeric) = 38319.172558960049454494939039245
absolute error = 9.65767745279869416e-10
relative error = 2.5203251552310011850446404197278e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.48
y[1] (analytic) = 39093.271193303271402186425593578
y[1] (numeric) = 39093.27119330228612207518363057
absolute error = 9.85280111241963008e-10
relative error = 2.5203317122531889389042066924394e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.49
y[1] (analytic) = 39883.007657373414765925071448929
y[1] (numeric) = 39883.007657372409579271927832523
absolute error = 1.005186653143616406e-09
relative error = 2.5203381394376394817241519495651e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.5
y[1] (analytic) = 40688.697856287033290333353664292
y[1] (numeric) = 40688.697856286007794999486649922
absolute error = 1.025495333867014370e-09
relative error = 2.5203444393553122174114156345914e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.51
y[1] (analytic) = 41510.664076866371643172192622586
y[1] (numeric) = 41510.664076865325428895037390306
absolute error = 1.046214277155232280e-09
relative error = 2.5203506145262581439970996691166e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.52
y[1] (analytic) = 42349.235116559357295879109492345
y[1] (numeric) = 42349.235116558289944108247650664
absolute error = 1.067351770861841681e-09
relative error = 2.5203566674206279001041666294111e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.53
y[1] (analytic) = 43204.746414962963718982464676003
y[1] (numeric) = 43204.746414961874802712198513776
absolute error = 1.088916270266162227e-09
relative error = 2.5203626004596598801154359250108e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.54
y[1] (analytic) = 44077.540188003521759083447513311
y[1] (numeric) = 44077.540188002410842681992027174
absolute error = 1.110916401455486137e-09
relative error = 2.5203684160166487367150548021461e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.55
y[1] (analytic) = 44967.965564827653111051282843526
y[1] (numeric) = 44967.965564826519750086507215392
absolute error = 1.133360964775628134e-09
relative error = 2.5203741164178947448887439129085e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.56
y[1] (analytic) = 45876.378727458584084057315144698
y[1] (numeric) = 45876.378727457427825118963963587
absolute error = 1.156258938351181111e-09
relative error = 2.5203797039436343539363152429567e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.57
y[1] (analytic) = 46803.143053273704049063395397282
y[1] (numeric) = 46803.143053272524429581718511609
absolute error = 1.179619481676885673e-09
relative error = 2.5203851808289523010639107250242e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.58
y[1] (analytic) = 47748.629260360361490869674851334
y[1] (numeric) = 47748.629260359158038930393301167
absolute error = 1.203451939281550167e-09
relative error = 2.5203905492646756872386317962491e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.59
y[1] (analytic) = 48713.215555808041921245746723737
y[1] (numeric) = 48713.215555806814155401280736942
absolute error = 1.227765844465986795e-09
relative error = 2.5203958113982503248908760134971e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.6
y[1] (analytic) = 49697.28778699624650156579036606
y[1] (numeric) = 49697.287786994993930642673907001
absolute error = 1.252570923116459059e-09
relative error = 2.5204009693345997610445408402627e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.61
y[1] (analytic) = 50701.23959593858854359538274415
y[1] (numeric) = 50701.239595937310666497787578212
absolute error = 1.277877097595165938e-09
relative error = 2.5204060251369672568179674754038e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.62
y[1] (analytic) = 51725.4725767448475849790177777
y[1] (numeric) = 51725.472576743543890488308458628
absolute error = 1.303694490709319072e-09
relative error = 2.5204109808277411216469319695989e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.63
y[1] (analytic) = 52770.396436263967960580576341375
y[1] (numeric) = 52770.396436262637927150815940751
absolute error = 1.330033429760400624e-09
relative error = 2.5204158383892637044756387163828e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.64
y[1] (analytic) = 53836.429157972261211040489692645
y[1] (numeric) = 53836.42915797090430658981447108
absolute error = 1.356904450675221565e-09
relative error = 2.5204205997646243429759322840431e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.65
y[1] (analytic) = 54923.99716917236979471818719434
y[1] (numeric) = 54923.997169170985476415966761469
absolute error = 1.384318302220432871e-09
relative error = 2.5204252668584366104140835187827e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.66
y[1] (analytic) = 56033.53551156987391785384594282
y[1] (numeric) = 56033.535511568461631903543767296
absolute error = 1.412285950302175524e-09
relative error = 2.5204298415376002271820527398703e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.67
y[1] (analytic) = 57165.488015295774400066589683745
y[1] (numeric) = 57165.488015294333581484237094571
absolute error = 1.440818582352589174e-09
relative error = 2.5204343256320478286645296210555e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.68
y[1] (analytic) = 58320.307476444462888666045386275
y[1] (numeric) = 58320.307476442992961054240452131
absolute error = 1.469927611804934144e-09
relative error = 2.5204387209354769301900322045634e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.69
y[1] (analytic) = 59498.45583819819697706748082048
y[1] (numeric) = 59498.455838196697352384821703532
absolute error = 1.499624682659116948e-09
relative error = 2.5204430292060674875684754934887e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.7
y[1] (analytic) = 60700.404375610532432383090908425
y[1] (numeric) = 60700.404375609002510708951462952
absolute error = 1.529921674139445473e-09
relative error = 2.5204472521671851301969368596055e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=72026236, alloc=4521156, time=2.84
TOP MAIN SOLVE Loop
x[1] = 4.71
y[1] (analytic) = 61926.63388412262836889241635409
y[1] (numeric) = 61926.633884121067538186969876958
absolute error = 1.560830705446477132e-09
relative error = 2.5204513915080705948255306949578e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.72
y[1] (analytic) = 63177.63487188783440304553261491
y[1] (numeric) = 63177.634871886242038904927754263
absolute error = 1.592364140604860647e-09
relative error = 2.5204554488845153913602375558959e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.73
y[1] (analytic) = 64453.90775598149218922303050595
y[1] (numeric) = 64453.907755979867654629621395166
absolute error = 1.624534593409110784e-09
relative error = 2.5204594259195241739335626654852e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.74
y[1] (analytic) = 65755.963062574437873032661563995
y[1] (numeric) = 65755.963062572780518100192269671
absolute error = 1.657354932469294324e-09
relative error = 2.5204633242039639311242644189907e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.75
y[1] (analytic) = 67084.32163115027753213958619502
y[1] (numeric) = 67084.32163114858669385322754932
absolute error = 1.690838286358645700e-09
relative error = 2.5204671452972003955295661309654e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.76
y[1] (analytic) = 68439.5148228481252377398681347
y[1] (numeric) = 68439.514822846400239691002963376
absolute error = 1.724998048865171324e-09
relative error = 2.5204708907277217843539600094725e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.77
y[1] (analytic) = 69822.084733014143609842017746325
y[1] (numeric) = 69822.084733012383761957668402944
absolute error = 1.759847884349343381e-09
relative error = 2.5204745619937502230635154963362e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.78
y[1] (analytic) = 71232.584408046910316637024720955
y[1] (numeric) = 71232.58440804511491490381469475
absolute error = 1.795401733210026205e-09
relative error = 2.5204781605638410444490417257124e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.79
y[1] (analytic) = 72671.57806662335155586673208059
y[1] (numeric) = 72671.578066621519882049271258879
absolute error = 1.831673817460821711e-09
relative error = 2.5204816878774702472872535616814e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.8
y[1] (analytic) = 74139.6413253937358413015412546
y[1] (numeric) = 74139.641325391867162655122190142
absolute error = 1.868678646419064458e-09
relative error = 2.5204851453456102953544914339626e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.81
y[1] (analytic) = 75637.36142923600910114874697221
y[1] (numeric) = 75637.361429234102670126237230176
absolute error = 1.906431022509742034e-09
relative error = 2.5204885343512945134329406609386e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.82
y[1] (analytic) = 77165.33748616157589252960101355
y[1] (numeric) = 77165.33748615963094648241435111
absolute error = 1.944946047186662440e-09
relative error = 2.5204918562501703470967799858150e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.83
y[1] (analytic) = 78724.18070696649217662973983046
y[1] (numeric) = 78724.180706964507937502766593507
absolute error = 1.984239126973236953e-09
relative error = 2.5204951123710416184545143394719e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.84
y[1] (analytic) = 80314.514649723933327024878170975
y[1] (numeric) = 80314.514649721909001045252876054
absolute error = 2.024325979625294921e-09
relative error = 2.5204983040164000752139170739352e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.85
y[1] (analytic) = 81936.97546921573761832813806737
y[1] (numeric) = 81936.975469213672395687719671708
absolute error = 2.065222640418395662e-09
relative error = 2.5205014324629463975066924690770e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.86
y[1] (analytic) = 83592.212171402801138352729003585
y[1] (numeric) = 83592.212171400694192884166851089
absolute error = 2.106945468562152496e-09
relative error = 2.5205044989621008975821292707578e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.87
y[1] (analytic) = 85280.88687303611567473868266738
y[1] (numeric) = 85280.886873033966163584938532663
absolute error = 2.149511153744134717e-09
relative error = 2.5205075047405041058358879960233e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.88
y[1] (analytic) = 87003.675066512297452724951539225
y[1] (numeric) = 87003.675066510104516002145574069
absolute error = 2.192936722805965156e-09
relative error = 2.5205104510005074469595948648583e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.89
y[1] (analytic) = 88761.26589007955246701611575796
y[1] (numeric) = 88761.265890077315227469561474105
absolute error = 2.237239546554283855e-09
relative error = 2.5205133389206541930915428369268e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.9
y[1] (analytic) = 90554.36240350216439667068633005
y[1] (numeric) = 90554.36240349988195932397702772
absolute error = 2.282437346709302330e-09
relative error = 2.5205161696561508891966695251536e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.91
y[1] (analytic) = 92383.681869293774573752472905705
y[1] (numeric) = 92383.681869291446025549479177742
absolute error = 2.328548202993727963e-09
relative error = 2.5205189443393294676211740593213e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.92
y[1] (analytic) = 94249.956039631951067559540302295
y[1] (numeric) = 94249.956039629575476999175408158
absolute error = 2.375590560364894137e-09
relative error = 2.5205216640801001800409723760751e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.93
y[1] (analytic) = 96153.93144906881653764304054627
y[1] (numeric) = 96153.931449066392954406647557156
absolute error = 2.423583236392989114e-09
relative error = 2.5205243299663955859241474995696e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.94
y[1] (analytic) = 98096.369713154823009617537156605
y[1] (numeric) = 98096.369713152350464188748821596
absolute error = 2.472545428788335009e-09
relative error = 2.5205269430646057340592163878468e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.95
y[1] (analytic) = 100078.04783309512706537656519392
y[1] (numeric) = 100078.04783309260456865348446603
absolute error = 2.52249672308072789e-09
relative error = 2.5205295044200047313391870600299e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.96
y[1] (analytic) = 102099.75850656043205992867735574
y[1] (numeric) = 102099.75850655785860282822344487
absolute error = 2.57345710045391087e-09
relative error = 2.5205320150571688958533855636012e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.97
y[1] (analytic) = 104162.31044477662584594052908296
y[1] (numeric) = 104162.31044477400039899479076899
absolute error = 2.62544694573831397e-09
relative error = 2.5205344759803865471596956440023e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.98
bytes used=76028468, alloc=4521156, time=3.00
y[1] (analytic) = 106266.52869602005408899502813264
y[1] (numeric) = 106266.52869601737560193946287451
absolute error = 2.67848705556525813e-09
relative error = 2.5205368881740597731750839173276e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 4.99
y[1] (analytic) = 108413.25497564783159621847342868
y[1] (numeric) = 108413.25497564509899757178754366
absolute error = 2.73259864668588502e-09
relative error = 2.5205392526030981944756872372422e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5
y[1] (analytic) = 110603.34800279520818327095756872
y[1] (numeric) = 110603.34800279242037990649942832
absolute error = 2.78780336445814040e-09
relative error = 2.5205415702133049496536500968626e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.01
y[1] (analytic) = 112837.68384387467251540489844506
y[1] (numeric) = 112837.68384387182839211339323919
absolute error = 2.84412329150520587e-09
relative error = 2.5205438419317549956171978807117e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.02
y[1] (analytic) = 115117.15626301419814417724155014
y[1] (numeric) = 115117.15626301129656322069270748
absolute error = 2.90158095654884266e-09
relative error = 2.5205460686671660205369130279343e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.03
y[1] (analytic) = 117442.67707957481171080226558102
y[1] (numeric) = 117442.67707957185151145884440039
absolute error = 2.96019934342118063e-09
relative error = 2.5205482513102618607203070016452e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.04
y[1] (analytic) = 119815.17653289049511039080097612
y[1] (numeric) = 119815.17653288747510849054241851
absolute error = 3.02000190025855761e-09
relative error = 2.5205503907341288329869089059471e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.05
y[1] (analytic) = 122235.60365437632244120509570725
y[1] (numeric) = 122235.60365437324142865621462063
absolute error = 3.08101254888108662e-09
relative error = 2.5205524877945650132470983386807e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.06
y[1] (analytic) = 124704.92664715367995521700929338
y[1] (numeric) = 124704.92664715053669952264759055
absolute error = 3.14325569436170283e-09
relative error = 2.5205545433304225268204367203806e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.07
y[1] (analytic) = 127224.13327334442415968684706473
y[1] (numeric) = 127224.13327334121740345205854656
absolute error = 3.20675623478851817e-09
relative error = 2.5205565581639431258435436858195e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.08
y[1] (analytic) = 129794.23124918890089699442701838
y[1] (numeric) = 129794.23124918562935742320262987
absolute error = 3.27153957122438851e-09
relative error = 2.5205585331010870621052454097476e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.09
y[1] (analytic) = 132416.24864814587787866480979524
y[1] (numeric) = 132416.24864814254024704694211768
absolute error = 3.33763161786767756e-09
relative error = 2.5205604689318555387395016176185e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.1
y[1] (analytic) = 135091.23431213563602133973191248
y[1] (numeric) = 135091.23431213223096252731363084
absolute error = 3.40505881241828164e-09
relative error = 2.5205623664306066418989808087527e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.11
y[1] (analytic) = 137820.25827109072230454345904318
y[1] (numeric) = 137820.25827108724845641680598093
absolute error = 3.47384812665306225e-09
relative error = 2.5205642263563651742841766220796e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.12
y[1] (analytic) = 140604.412170982190045470791121
y[1] (numeric) = 140604.4121709786460183935762046
absolute error = 3.54402707721491640e-09
relative error = 2.5205660494531262412323451172091e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.13
y[1] (analytic) = 143444.80971049254279399976556661
y[1] (numeric) = 143444.80971048892717026314576596
absolute error = 3.61562373661980065e-09
relative error = 2.5205678364501528500467407924506e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.14
y[1] (analytic) = 146342.58708651005684787061361736
y[1] (numeric) = 146342.58708650636818112612750557
absolute error = 3.68866674448611179e-09
relative error = 2.5205695880622676203456715807634e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.15
y[1] (analytic) = 149298.9034486226860570405411016
y[1] (numeric) = 149298.90344861892287172155018548
absolute error = 3.76318531899091612e-09
relative error = 2.5205713049901387604771884669522e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.16
y[1] (analytic) = 152314.94136279335253913560578804
y[1] (numeric) = 152314.94136278951332986704817825
absolute error = 3.83920926855760979e-09
relative error = 2.5205729879205602974478634712221e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.17
y[1] (analytic) = 155391.90728440209960470551335225
y[1] (numeric) = 155391.90728439818283570173366659
absolute error = 3.91676900377968566e-09
relative error = 2.5205746375267268383354696744245e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.18
y[1] (analytic) = 158531.03204084433006076423653202
y[1] (numeric) = 158531.03204084033416521465115587
absolute error = 3.99589554958537615e-09
relative error = 2.5205762544685028387323158517341e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.19
y[1] (analytic) = 161733.57132387817562266684695507
y[1] (numeric) = 161733.57132387409900210919891686
absolute error = 4.07662055764803821e-09
relative error = 2.5205778393926865614225095690244e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.2
y[1] (analytic) = 165000.80619191794294680643157661
y[1] (numeric) = 165000.8061919137839704873843319
absolute error = 4.15897631904724471e-09
relative error = 2.5205793929332688161180068717311e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.21
y[1] (analytic) = 168334.04358247456035987941684638
y[1] (numeric) = 168334.0435824703173641022311996
absolute error = 4.24299577718564678e-09
relative error = 2.5205809157116865378759607581714e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.22
y[1] (analytic) = 171734.61683494800829604139763302
y[1] (numeric) = 171734.61683494367958350043085886
absolute error = 4.32871254096677416e-09
relative error = 2.5205824083370713939985338076153e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.23
y[1] (analytic) = 175203.88622398085738478701393976
y[1] (numeric) = 175203.88622397644122388877489503
absolute error = 4.41616089823904473e-09
relative error = 2.5205838714064934402888065086411e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.24
y[1] (analytic) = 178743.23950358626271626435428456
y[1] (numeric) = 178743.23950358175734043484292352
absolute error = 4.50537582951136104e-09
relative error = 2.5205853055051999485312165015077e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.25
y[1] (analytic) = 182354.0924622680727368666696002
y[1] (numeric) = 182354.09246226347634384472381992
absolute error = 4.59639302194578028e-09
relative error = 2.5205867112068495114672422476507e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=80032204, alloc=4521156, time=3.17
TOP MAIN SOLVE Loop
x[1] = 5.26
y[1] (analytic) = 186037.88948935510822035977500546
y[1] (numeric) = 186037.88948935041897147614215047
absolute error = 4.68924888363285499e-09
relative error = 2.5205880890737415424681010185603e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.27
y[1] (analytic) = 189796.10415277615257735799239164
y[1] (numeric) = 189796.104152771368596799837037
absolute error = 4.78398055815535464e-09
relative error = 2.5205894396570411539220983918310e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.28
y[1] (analytic) = 193630.23978850677120304167794898
y[1] (numeric) = 193630.23978850189057710223175491
absolute error = 4.88062593944619407e-09
relative error = 2.5205907634969996734382543486197e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.29
y[1] (analytic) = 197541.83010192374645025113757416
y[1] (numeric) = 197541.83010191876722656419106227
absolute error = 4.97922368694651189e-09
relative error = 2.5205920611231707373449260248886e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.3
y[1] (analytic) = 201532.4397813076780201122089184
y[1] (numeric) = 201532.439781302598206871138956
absolute error = 5.07981324106996240e-09
relative error = 2.5205933330546221182690983355539e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.31
y[1] (analytic) = 205603.66512373915799049350009204
y[1] (numeric) = 205603.66512373397555565452068515
absolute error = 5.18243483897940689e-09
relative error = 2.5205945798001433391769961253940e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.32
y[1] (analytic) = 209757.13467363888729770027285984
y[1] (numeric) = 209757.13467363360016816959054448
absolute error = 5.28712953068231536e-09
relative error = 2.5205958018584492325720834336033e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.33
y[1] (analytic) = 213994.50987420715823197938668978
y[1] (numeric) = 213994.50987420176429278393537294
absolute error = 5.39393919545131684e-09
relative error = 2.5205969997183794273344750840195e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.34
y[1] (analytic) = 218317.48573202328742580908453056
y[1] (numeric) = 218317.48573201778451925050806381
absolute error = 5.50290655857646675e-09
relative error = 2.5205981738590938489978255517866e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.35
y[1] (analytic) = 222727.79149507084796961286126374
y[1] (numeric) = 222727.79149506523389440440533104
absolute error = 5.61407520845593270e-09
relative error = 2.5205993247502644378323358754894e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.36
y[1] (analytic) = 227227.19134445991978820066726715
y[1] (numeric) = 227227.19134445419229858663533225
absolute error = 5.72748961403193490e-09
relative error = 2.5206004528522630031209918364313e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.37
y[1] (analytic) = 231817.48510012305640117433564672
y[1] (numeric) = 231817.4851001172132060317567307
absolute error = 5.84319514257891602e-09
relative error = 2.5206015586163453976811443344087e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.38
y[1] (analytic) = 236500.50894076725586340641006962
y[1] (numeric) = 236500.50894076129462532855901386
absolute error = 5.96123807785105576e-09
relative error = 2.5206026424848319772213502513636e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.39
y[1] (analytic) = 241278.13613836992627345616964566
y[1] (numeric) = 241278.13613836384460781757325586
absolute error = 6.08166563859638980e-09
relative error = 2.5206037048912846010613762258673e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.4
y[1] (analytic) = 246152.27780751265402953633537191
y[1] (numeric) = 246152.27780750644950353889043344
absolute error = 6.20452599744493847e-09
relative error = 2.5206047462606800041406575608726e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.41
y[1] (analytic) = 251124.88366985251833158297074678
y[1] (numeric) = 251124.88366984618846328279234562
absolute error = 6.32986830017840116e-09
relative error = 2.5206057670095798322284202754741e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.42
y[1] (analytic) = 256197.94283403675064831617152331
y[1] (numeric) = 256197.94283403029290563078239906
absolute error = 6.45774268538912425e-09
relative error = 2.5206067675462972568824562684601e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.43
y[1] (analytic) = 261373.48459137271541207914759057
y[1] (numeric) = 261373.48459136612721177461138402
absolute error = 6.58820030453620655e-09
relative error = 2.5206077482710602978235413636284e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.44
y[1] (analytic) = 266653.57922757149054280816199853
y[1] (numeric) = 266653.57922756476924946575523352
absolute error = 6.72129334240676501e-09
relative error = 2.5206087095761719361230336354787e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.45
y[1] (analytic) = 272040.3388508897560567349664222
y[1] (numeric) = 272040.33885088289898169697587684
absolute error = 6.85707503799054536e-09
relative error = 2.5206096518461670350753764981299e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.46
y[1] (analytic) = 277535.91823700125855730428843154
y[1] (numeric) = 277535.91823699426295759851220369
absolute error = 6.99559970577622785e-09
relative error = 2.5206105754579661515509175024776e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.47
y[1] (analytic) = 283142.51569093581145920579788528
y[1] (numeric) = 283142.51569092867453644831993831
absolute error = 7.13692275747794697e-09
relative error = 2.5206114807810263257468460927420e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.48
y[1] (analytic) = 288862.37392643061803828340291683
y[1] (numeric) = 288862.37392642333693755920220096
absolute error = 7.28110072420071587e-09
relative error = 2.5206123681774888448845771160974e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.49
y[1] (analytic) = 294697.78096304566956138247680364
y[1] (numeric) = 294697.78096303824137010342318146
absolute error = 7.42819127905362218e-09
relative error = 2.5206132380023241250842386284336e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.5
y[1] (analytic) = 300651.07104140207661708508466298
y[1] (numeric) = 300651.07104139449836382486482238
absolute error = 7.57825326021984060e-09
relative error = 2.5206140906034736935919005482976e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.51
y[1] (analytic) = 306724.62555690944118320596534039
y[1] (numeric) = 306724.62555690170983651147264965
absolute error = 7.73134669449269074e-09
relative error = 2.5206149263219893868774736091630e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.52
y[1] (analytic) = 312920.87401235577282974055827952
y[1] (numeric) = 312920.8740123478852969192711248
absolute error = 7.88753282128715472e-09
relative error = 2.5206157454921697440281072683718e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=84034012, alloc=4586680, time=3.33
x[1] = 5.53
y[1] (analytic) = 319242.29498974099772511448781845
y[1] (numeric) = 319242.29498973295085099735135865
absolute error = 8.04687411713645980e-09
relative error = 2.5206165484416937639938260816597e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.54
y[1] (analytic) = 325691.41714174280680728989642498
y[1] (numeric) = 325691.41714173459737296921290034
absolute error = 8.20943432068352464e-09
relative error = 2.5206173354917519609682768505386e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.55
y[1] (analytic) = 332270.82020321144267871797353996
y[1] (numeric) = 332270.82020320306740025979627363
absolute error = 8.37527845817726633e-09
relative error = 2.5206181069571748462387803227126e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.56
y[1] (analytic) = 338983.13602309803662667264221947
y[1] (numeric) = 338983.13602308949215380315825244
absolute error = 8.54447286948396703e-09
relative error = 2.5206188631465588783070283082060e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.57
y[1] (analytic) = 345831.04961722928086300148589183
y[1] (numeric) = 345831.04961722056377776686178685
absolute error = 8.71708523462410498e-09
relative error = 2.5206196043623898913432112463509e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.58
y[1] (analytic) = 352817.30024234955988937260674218
y[1] (numeric) = 352817.30024234066670477176147705
absolute error = 8.89318460084526513e-09
relative error = 2.5206203309011641015276125436798e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.59
y[1] (analytic) = 359944.68249186017216131620819178
y[1] (numeric) = 359944.68249185109931990596623299
absolute error = 9.07284141024195879e-09
relative error = 2.5206210430535067019277861130696e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.6
y[1] (analytic) = 367216.04741369395234977760643422
y[1] (numeric) = 367216.04741368469622224967303351
absolute error = 9.25612752793340071e-09
relative error = 2.5206217411042881264494118403626e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.61
y[1] (analytic) = 374634.30365077245895427999040616
y[1] (numeric) = 374634.30365076301583800917989121
absolute error = 9.44311627081051495e-09
relative error = 2.5206224253327379932181839857290e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.62
y[1] (analytic) = 382202.41860450192534904077953154
y[1] (numeric) = 382202.41860449229146660391586271
absolute error = 9.63388243686366883e-09
relative error = 2.5206230960125568027702779688225e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.63
y[1] (analytic) = 389923.41962177338815594621826593
y[1] (numeric) = 389923.41962176355965361111539951
absolute error = 9.82850233510286642e-09
relative error = 2.5206237534120254279331876901601e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.64
y[1] (analytic) = 397800.3952059418088226127993375
y[1] (numeric) = 397800.39520593178176879671696753
absolute error = 1.002705381608236997e-08
relative error = 2.5206243977941124195109745545196e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.65
y[1] (analytic) = 405836.4962522685962007703146764
y[1] (numeric) = 405836.49625225836658446727271674
absolute error = 1.022961630304195966e-08
relative error = 2.5206250294165792035631861577504e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.66
y[1] (analytic) = 414034.93730832172360678449075965
y[1] (numeric) = 414034.93730831128733596081347115
absolute error = 1.043627082367728850e-08
relative error = 2.5206256485320831886153586598576e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.67
y[1] (analytic) = 422398.99785983761721670238429852
y[1] (numeric) = 422398.99785982697011665983225757
absolute error = 1.064710004255204095e-08
relative error = 2.5206262553882788260339623984081e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.68
y[1] (analytic) = 430932.02364255917769623233432914
y[1] (numeric) = 430932.02364254831550793816946847
absolute error = 1.086218829416486067e-08
relative error = 2.5206268502279166912562115917177e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.69
y[1] (analytic) = 439637.42798057468776571730173427
y[1] (numeric) = 439637.42798056360614410061745991
absolute error = 1.108162161668427436e-08
relative error = 2.5206274332889405651739374951978e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.7
y[1] (analytic) = 448518.69315169295910788428168161
y[1] (numeric) = 448518.69315168165362009791657516
absolute error = 1.130548778636510645e-08
relative error = 2.5206280048045826356249337004938e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.71
y[1] (analytic) = 457579.37178040088688237758260664
y[1] (numeric) = 457579.37178038935300602492245533
absolute error = 1.153387635266015131e-08
relative error = 2.5206285650034567737762977099885e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.72
y[1] (analytic) = 466823.08825896061344189681724636
y[1] (numeric) = 466823.08825894884656322277609789
absolute error = 1.176687867404114847e-08
relative error = 2.5206291141096500037518712074271e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.73
y[1] (analytic) = 476253.54019721475906364088510227
y[1] (numeric) = 476253.54019720275447568634171292
absolute error = 1.200458795454338935e-08
relative error = 2.5206296523428121194113190642066e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.74
y[1] (analytic) = 485874.49990167966111934467867162
y[1] (numeric) = 485874.49990166741402006363009744
absolute error = 1.224709928104857418e-08
relative error = 2.5206301799182435618299970474091e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.75
y[1] (analytic) = 495689.81588451827870108266885038
y[1] (numeric) = 495689.81588450578419142134801786
absolute error = 1.249450966132083252e-08
relative error = 2.5206306970469815414845546212330e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.76
y[1] (analytic) = 505703.41440299637198459668305215
y[1] (numeric) = 505703.41440298362506653387192983
absolute error = 1.274691806281112232e-08
relative error = 2.5206312039358844464962867124200e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.77
y[1] (analytic) = 515919.3010300377593282492817187
y[1] (numeric) = 515919.30103002475490279703618882
absolute error = 1.300442545224552988e-08
relative error = 2.5206317007877145879769731153838e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.78
y[1] (analytic) = 526341.56225650689515145828771015
y[1] (numeric) = 526341.56225649362801662227440346
absolute error = 1.326713483601330669e-08
relative error = 2.5206321878012193395593595834718e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.79
y[1] (analytic) = 536974.36712585970298781639970245
y[1] (numeric) = 536974.36712584616783651502890418
absolute error = 1.353515130137079827e-08
relative error = 2.5206326651712105811191605222364e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.8
y[1] (analytic) = 547821.96890181654584175218481505
y[1] (numeric) = 547821.96890180273725969370706688
absolute error = 1.380858205847774817e-08
relative error = 2.5206331330886426803237044199665e-12 %
Correct digits = 14
h = 0.01
bytes used=88035256, alloc=4586680, time=3.49
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.81
y[1] (analytic) = 558888.7067697244252728111969328
y[1] (numeric) = 558888.70676971033773632791414157
absolute error = 1.408753648328279123e-08
relative error = 2.5206335917406888524135902949884e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.82
y[1] (analytic) = 570179.007572288976772322720845
y[1] (numeric) = 570179.00757227460464616144555367
absolute error = 1.437212616127529133e-08
relative error = 2.5206340413108160200656922135902e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.83
y[1] (analytic) = 581697.38758037057737400465736935
y[1] (numeric) = 581697.38758035591490907253634424
absolute error = 1.466246493212102511e-08
relative error = 2.5206344819788582295025934365363e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.84
y[1] (analytic) = 593448.45429955290755248037000155
y[1] (numeric) = 593448.45429953794888354517043537
absolute error = 1.495866893519956618e-08
relative error = 2.5206349139210885881870404787036e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.85
y[1] (analytic) = 605436.90831320661892236889518085
y[1] (numeric) = 605436.90831319135806571283359564
absolute error = 1.526085665606158521e-08
relative error = 2.5206353373102897279344577164179e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.86
y[1] (analytic) = 617667.5451627853577795380463482
y[1] (numeric) = 617667.54516276978863056422169778
absolute error = 1.556914897382465042e-08
relative error = 2.5206357523158229873116835179448e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.87
y[1] (analytic) = 630145.25726610628796488483749015
y[1] (numeric) = 630145.25726609040429567531100415
absolute error = 1.588366920952648600e-08
relative error = 2.5206361591036960996928531546272e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.88
y[1] (analytic) = 642875.0358743824508372034066075
y[1] (numeric) = 642875.03587436624629402795157566
absolute error = 1.620454317545503184e-08
relative error = 2.5206365578366296536759364915080e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.89
y[1] (analytic) = 655861.97306878980139324230526425
y[1] (numeric) = 655861.97306877326949401683022832
absolute error = 1.653189922547503593e-08
relative error = 2.5206369486741221356284347956999e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.9
y[1] (analytic) = 669111.2637973675739706479398538
y[1] (numeric) = 669111.26379735070810234156854208
absolute error = 1.686586830637131172e-08
relative error = 2.5206373317725137409691211505593e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.91
y[1] (analytic) = 682628.20795306676483910900287185
y[1] (numeric) = 682628.20795304955825509877367361
absolute error = 1.720658401022919824e-08
relative error = 2.5206377072850489446393025824523e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.92
y[1] (analytic) = 696418.2124937779787804208866633
y[1] (numeric) = 696418.21249376042459779301348802
absolute error = 1.755418262787317528e-08
relative error = 2.5206380753619377689548591939356e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.93
y[1] (analytic) = 710486.79360518667906351695634165
y[1] (numeric) = 710486.79360516877026031357133124
absolute error = 1.790880320338501041e-08
relative error = 2.5206384361504158694562433534114e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.94
y[1] (analytic) = 724839.57890732101175291120440365
y[1] (numeric) = 724839.57890730274116532148115783
absolute error = 1.827058758972324582e-08
relative error = 2.5206387897948034578483589054070e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.95
y[1] (analytic) = 739482.30970567485290130559951695
y[1] (numeric) = 739482.30970565621322080013324408
absolute error = 1.863968050546627287e-08
relative error = 2.5206391364365629944743606211867e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.96
y[1] (analytic) = 754420.8432878065578606133375009
y[1] (numeric) = 754420.84328778754163102063580762
absolute error = 1.901622959270169328e-08
relative error = 2.5206394762143558071647377707798e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.97
y[1] (analytic) = 769661.1552663320828328473484186
y[1] (numeric) = 769661.15526631268244737126329595
absolute error = 1.940038547608512265e-08
relative error = 2.5206398092640975424143652309096e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.98
y[1] (analytic) = 785209.34196924970714981923761465
y[1] (numeric) = 785209.34196922991484799614555353
absolute error = 1.979230182309206112e-08
relative error = 2.5206401357190125411718280573863e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 5.99
y[1] (analytic) = 801071.62287855251804198178698985
y[1] (numeric) = 801071.62287853232590657630005742
absolute error = 2.019213540548693243e-08
relative error = 2.5206404557096871215315200763618e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6
y[1] (analytic) = 817254.34311810413540558921797
y[1] (numeric) = 817254.34311808353535942718408997
absolute error = 2.060004616203388003e-08
relative error = 2.5206407693641218181524808051131e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.01
y[1] (analytic) = 833763.97599177286003020070267965
y[1] (numeric) = 833763.97599175184383293822827429
absolute error = 2.101619726247440536e-08
relative error = 2.5206410768077825935628133311963e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.02
y[1] (analytic) = 850607.1255728395327880579948299
y[1] (numeric) = 850607.12557281809203288519739007
absolute error = 2.144075517279743983e-08
relative error = 2.5206413781636509964650102755872e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.03
y[1] (analytic) = 867790.52934571490245491139636175
y[1] (numeric) = 867790.52934569302856518956840137
absolute error = 2.187388972182796038e-08
relative error = 2.5206416735522734054914895070260e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.04
y[1] (analytic) = 885321.06090102322433279026983895
y[1] (numeric) = 885321.06090100090855862110905546
absolute error = 2.231577416916078349e-08
relative error = 2.5206419630918092019933242588428e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.05
y[1] (analytic) = 903205.73268513015904909431582905
y[1] (numeric) = 903205.73268510739246381984911557
absolute error = 2.276658527446671348e-08
relative error = 2.5206422468980780609980155824706e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.06
y[1] (analytic) = 921451.698805214819352386044222
y[1] (numeric) = 921451.69880519159284901784545438
absolute error = 2.322650336819876762e-08
relative error = 2.5206425250846062758159424973139e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.07
y[1] (analytic) = 940066.2578910080311250620634558
y[1] (numeric) = 940066.25789098433541263833669411
absolute error = 2.369571242372676169e-08
relative error = 2.5206427977626721608793086199596e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=92036244, alloc=4586680, time=3.64
TOP MAIN SOLVE Loop
x[1] = 6.08
y[1] (analytic) = 959056.85601434154207432716010355
y[1] (numeric) = 959056.85601431736767419623099238
absolute error = 2.417440013092911117e-08
relative error = 2.5206430650413505916570482220647e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.09
y[1] (analytic) = 978431.08966767603671278937567685
y[1] (numeric) = 978431.08966765137395481810439214
absolute error = 2.466275797127128471e-08
relative error = 2.5206433270275565870165247496946e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.1
y[1] (analytic) = 998196.7088027994085489047049597
y[1] (numeric) = 998196.70880277424756761030401572
absolute error = 2.516098129440094398e-08
relative error = 2.5206435838260881338649184850736e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.11
y[1] (analytic) = 1018361.6199309108093126647731744
y[1] (numeric) = 1018361.6199308851400432684827674
absolute error = 2.56692693962904070e-08
relative error = 2.5206438355396680627147517418901e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.12
y[1] (analytic) = 1038933.8892853305501712228867175
y[1] (numeric) = 1038933.8892853043623456239290228
absolute error = 2.61878255989576947e-08
relative error = 2.5206440822689851704513541546625e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.13
y[1] (analytic) = 1059921.7460481009810649723209812
y[1] (numeric) = 1059921.7460480742642076405229324
absolute error = 2.67168573317980488e-08
relative error = 2.5206443241127344651105246835175e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.14
y[1] (analytic) = 1081333.5856417690315377299564211
y[1] (numeric) = 1081333.5856417417749615153979652
absolute error = 2.72565762145584559e-08
relative error = 2.5206445611676566682506089565750e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.15
y[1] (analytic) = 1103177.9730876671699683764240264
y[1] (numeric) = 1103177.9730876393627702344356585
absolute error = 2.78071981419883679e-08
relative error = 2.5206447935285769111851430614085e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.16
y[1] (analytic) = 1125463.6464320361383653219046617
y[1] (numeric) = 1125463.6464320077694219517041812
absolute error = 2.83689433702004805e-08
relative error = 2.5206450212884426733520334456165e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.17
y[1] (analytic) = 1148199.5202413599574999609253644
y[1] (numeric) = 1148199.5202413310154633561492497
absolute error = 2.89420366047761147e-08
relative error = 2.5206452445383609295584295247019e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.18
y[1] (analytic) = 1171394.6891683113829862576669571
y[1] (numeric) = 1171394.6891682818562791670165114
absolute error = 2.95267070906504457e-08
relative error = 2.5206454633676346180211827214822e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.19
y[1] (analytic) = 1195058.4315897342380354669818795
y[1] (numeric) = 1195058.4315897041148467631683458
absolute error = 3.01231887038135337e-08
relative error = 2.5206456778637983700460581963576e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.2
y[1] (analytic) = 1219200.213318117864326170871077
y[1] (numeric) = 1219200.2133180871326061260072389
absolute error = 3.07317200448638381e-08
relative error = 2.5206458881126535066895189347194e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.21
y[1] (analytic) = 1243829.6913880483302569642685314
y[1] (numeric) = 1243829.691388016977712429816893
absolute error = 3.13525445344516384e-08
relative error = 2.5206460941983023719101830766018e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.22
y[1] (analytic) = 1268956.7179191510275517804694726
y[1] (numeric) = 1268956.7179191190416412698189324
absolute error = 3.19859105106505402e-08
relative error = 2.5206462962031819929680514657003e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.23
y[1] (analytic) = 1294591.3440570698847630863707683
y[1] (numeric) = 1294591.3440570372526917580747533
absolute error = 3.26320713282960150e-08
relative error = 2.5206464942080969877449344723825e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.24
y[1] (analytic) = 1320743.8239940596419054389384982
y[1] (numeric) = 1320743.8239940263506199786077845
absolute error = 3.32912854603307137e-08
relative error = 2.5206466882922519832720606474877e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.25
y[1] (analytic) = 1347424.619070799476737868097475
y[1] (numeric) = 1347424.6190707655129212669003861
absolute error = 3.39638166011970889e-08
relative error = 2.5206468785332832114142208525304e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.26
y[1] (analytic) = 1374644.4019610687628371765628238
y[1] (numeric) = 1374644.401961034112903404244135
absolute error = 3.46499337723186888e-08
relative error = 2.5206470650072896369977532695893e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.27
y[1] (analytic) = 1402414.060940958885561806655531
y[1] (numeric) = 1402414.0609409235356503769432181
absolute error = 3.53499114297123129e-08
relative error = 2.5206472477888633438445105381395e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.28
y[1] (analytic) = 1430744.7042443288575562428379532
y[1] (numeric) = 1430744.7042442927935266690638748
absolute error = 3.60640295737740784e-08
relative error = 2.5206474269511193898299762124198e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.29
y[1] (analytic) = 1459647.6645062469741156675791101
y[1] (numeric) = 1459647.6645062101815418062957977
absolute error = 3.67925738612833124e-08
relative error = 2.5206476025657250792470626230090e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.3
y[1] (analytic) = 1489134.5032961959443196951011268
y[1] (numeric) = 1489134.503296158408483975432055
absolute error = 3.75358357196690718e-08
relative error = 2.5206477747029285856756003206801e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.31
y[1] (analytic) = 1519217.015742854840431177491001
y[1] (numeric) = 1519217.0157428165463187139059997
absolute error = 3.82941124635850013e-08
relative error = 2.5206479434315870956717481611098e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.32
y[1] (analytic) = 1549907.2352523078400044242147846
y[1] (numeric) = 1549907.235252268772297010375626
absolute error = 3.90677074138391586e-08
relative error = 2.5206481088191943179441911841062e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.33
y[1] (analytic) = 1581217.4383215671071099670154208
y[1] (numeric) = 1581217.4383215272501799482890386
absolute error = 3.98569300187263822e-08
relative error = 2.5206482709319074986540125320742e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.34
y[1] (analytic) = 1613160.1494493352860095209267051
y[1] (numeric) = 1613160.1494492946239135431149698
absolute error = 4.06620959778117353e-08
relative error = 2.5206484298345738807677624471538e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=96037008, alloc=4586680, time=3.80
x[1] = 6.35
y[1] (analytic) = 1645748.1461459719777563176674544
y[1] (numeric) = 1645748.146145930494228949452913
absolute error = 4.14835273682145414e-08
relative error = 2.5206485855907566556253938987127e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.36
y[1] (analytic) = 1678994.4640446682531118952376486
y[1] (numeric) = 1678994.4640446259315591217941224
absolute error = 4.23215527734435262e-08
relative error = 2.5206487382627603733141907783979e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.37
y[1] (analytic) = 1712912.4021158737397344125976778
y[1] (numeric) = 1712912.4021158305632269977630755
absolute error = 4.31765074148346023e-08
relative error = 2.5206488879116558680858265134324e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.38
y[1] (analytic) = 1747515.5279870621239999862682926
y[1] (numeric) = 1747515.5279870180752667006244192
absolute error = 4.40487332856438734e-08
relative error = 2.5206490345973046968250883839452e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.39
y[1] (analytic) = 1782817.683369963044588929819692
y[1] (numeric) = 1782817.6833699181060096419701956
absolute error = 4.49385792878494964e-08
relative error = 2.5206491783783830663443946505034e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.4
y[1] (analytic) = 1818832.9895974313429583875081472
y[1] (numeric) = 1818832.9895973854965570157910219
absolute error = 4.58464013717171253e-08
relative error = 2.5206493193124053359887922853281e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.41
y[1] (analytic) = 1855575.85327216849222745879259
y[1] (numeric) = 1855575.8532721217196647806078271
absolute error = 4.67725626781847629e-08
relative error = 2.5206494574557469883880340101092e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.42
y[1] (analytic) = 1893060.9720295557683636577237602
y[1] (numeric) = 1893060.9720295080509299735997819
absolute error = 4.77174336841239783e-08
relative error = 2.5206495928636672007347121533960e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.43
y[1] (analytic) = 1931303.3404169043737779819164776
y[1] (numeric) = 1931303.3404168556923856313808822
absolute error = 4.86813923505355954e-08
relative error = 2.5206497255903309547629742690543e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.44
y[1] (analytic) = 1970318.2558914742917690759880496
y[1] (numeric) = 1970318.2558914246269448022489175
absolute error = 4.96648242737391321e-08
relative error = 2.5206498556888306681714097427280e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.45
y[1] (analytic) = 2010121.3249396611593329181761937
y[1] (numeric) = 2010121.324939610491210078559723
absolute error = 5.06681228396164707e-08
relative error = 2.5206499832112074964999754546238e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.46
y[1] (analytic) = 2050728.4693197989146774001784618
y[1] (numeric) = 2050728.4693197472229880192070074
absolute error = 5.16916893809714544e-08
relative error = 2.5206501082084720749607242672399e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.47
y[1] (analytic) = 2092155.9324310754237392845181436
y[1] (numeric) = 2092155.9324310226878059464497822
absolute error = 5.27359333380683614e-08
relative error = 2.5206502307306249932470475822772e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.48
y[1] (analytic) = 2134420.2858111087368741534995714
y[1] (numeric) = 2134420.2858110549356017310861029
absolute error = 5.38012724224134685e-08
relative error = 2.5206503508266767282150255419475e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.49
y[1] (analytic) = 2177538.4357647830928575309545311
y[1] (numeric) = 2177538.4357647282047247471093067
absolute error = 5.48881327838452244e-08
relative error = 2.5206504685446673085490795450993e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.5
y[1] (analytic) = 2221527.630126996292984435749974
y[1] (numeric) = 2221527.6301269402960352547501075
absolute error = 5.59969491809998665e-08
relative error = 2.5206505839316854996449549503104e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.51
y[1] (analytic) = 2266405.4651620236343881741412161
y[1] (numeric) = 2266405.4651619665062230189205437
absolute error = 5.71281651552206724e-08
relative error = 2.5206506970338876468617609350324e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.52
y[1] (analytic) = 2312189.8926022582401444441608326
y[1] (numeric) = 2312189.8926021999579112361804214
absolute error = 5.82822332079804112e-08
relative error = 2.5206508078965161397814694697338e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.53
y[1] (analytic) = 2358899.2268291433761439160936096
y[1] (numeric) = 2358899.2268290839165289342056435
absolute error = 5.94596149818879661e-08
relative error = 2.5206509165639175121590958887862e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.54
y[1] (analytic) = 2406552.1521991692234070789140192
y[1] (numeric) = 2406552.1521991085626256335624863
absolute error = 6.06607814453515329e-08
relative error = 2.5206510230795601653983956768950e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.55
y[1] (analytic) = 2455167.7305178646022315379977208
y[1] (numeric) = 2455167.7305178027160184570254573
absolute error = 6.18862130809722635e-08
relative error = 2.5206511274860517804622489149239e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.56
y[1] (analytic) = 2504765.4086647733445159747339333
y[1] (numeric) = 2504765.4086647102081158969902207
absolute error = 6.31364000777437126e-08
relative error = 2.5206512298251563491692975068395e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.57
y[1] (analytic) = 2555365.0263724654064774048145475
y[1] (numeric) = 2555365.0263724009946348776805766
absolute error = 6.44118425271339709e-08
relative error = 2.5206513301378108740431705180757e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.58
y[1] (analytic) = 2606986.8241626944299283532180455
y[1] (numeric) = 2606986.8241626287168777300891249
absolute error = 6.57130506231289206e-08
relative error = 2.5206514284641417554007312638970e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.59
y[1] (analytic) = 2659651.451442876320955301791115
y[1] (numeric) = 2659651.4514428092804104354744826
absolute error = 6.70405448663166324e-08
relative error = 2.5206515248434808408535888685335e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.6
y[1] (analytic) = 2713379.9747661275453843679069547
y[1] (numeric) = 2713379.9747660591505280958124143
absolute error = 6.83948562720945404e-08
relative error = 2.5206516193143811424494360202951e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.61
y[1] (analytic) = 2768193.8862581672664877128730194
y[1] (numeric) = 2768193.8862580974899611297903373
absolute error = 6.97765265830826821e-08
relative error = 2.5206517119146322859003039749704e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.62
y[1] (analytic) = 2824115.1122144541981459559476208
y[1] (numeric) = 2824115.1122143830120374701196517
absolute error = 7.11861084858279691e-08
relative error = 2.5206518026812756026393971820992e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=100038828, alloc=4586680, time=3.96
TOP MAIN SOLVE Loop
x[1] = 6.63
y[1] (analytic) = 2881166.021870997142837878697294
y[1] (numeric) = 2881166.0218709245186720468111184
absolute error = 7.26241658318861756e-08
relative error = 2.5206518916506189645513026463798e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.64
y[1] (analytic) = 2939369.4363523476556183153495442
y[1] (numeric) = 2939369.4363522735643444519794659
absolute error = 7.40912738633700783e-08
relative error = 2.5206519788582512887705034201812e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.65
y[1] (analytic) = 2998748.6378003541504579799157696
y[1] (numeric) = 2998748.6378002785624385368617972
absolute error = 7.55880194430539724e-08
relative error = 2.5206520643390568045286154003508e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.66
y[1] (analytic) = 3059327.3786873290723061103342815
y[1] (numeric) = 3059327.3786872519573048212076768
absolute error = 7.71150012891266047e-08
relative error = 2.5206521481272289543840075794533e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.67
y[1] (analytic) = 3121129.8913173545259219726712426
y[1] (numeric) = 3121129.8913172758530917579848085
absolute error = 7.86728302146864341e-08
relative error = 2.5206522302562841388816950870172e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.68
y[1] (analytic) = 3184180.8975195270104125221653512
y[1] (numeric) = 3184180.8975194467482831500903374
absolute error = 8.02621293720750138e-08
relative error = 2.5206523107590750742142656435251e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.69
y[1] (analytic) = 3248505.6185370186866150225636788
y[1] (numeric) = 3248505.6185369368030805204174418
absolute error = 8.18835345021462370e-08
relative error = 2.5206523896678039435324066768790e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.7
y[1] (analytic) = 3314129.785115910933687485096057
y[1] (numeric) = 3314129.7851158273959932965249015
absolute error = 8.35376941885711555e-08
relative error = 2.5206524670140352904274509098563e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.71
y[1] (analytic) = 3381079.6477978358628491376013634
y[1] (numeric) = 3381079.6477977506375790203212673
absolute error = 8.52252701172800961e-08
relative error = 2.5206525428287086469659211977188e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.72
y[1] (analytic) = 3449381.9874205429821134699925684
y[1] (numeric) = 3449381.9874204560351761288467139
absolute error = 8.69469373411458545e-08
relative error = 2.5206526171421508851043110393415e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.73
y[1] (analytic) = 3519064.1258305913786891715892468
y[1] (numeric) = 3519064.1258305026753046215754005
absolute error = 8.87033845500138463e-08
relative error = 2.5206526899840883794720697266422e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.74
y[1] (analytic) = 3590153.936812452638759720950043
y[1] (numeric) = 3590153.9368123621434453747628162
absolute error = 9.04953143461872268e-08
relative error = 2.5206527613836588684415868210381e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.75
y[1] (analytic) = 3662679.8572383962915328552702632
y[1] (numeric) = 3662679.8572383039680893297930817
absolute error = 9.23234435254771815e-08
relative error = 2.5206528313694231405930212389769e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.76
y[1] (analytic) = 3736670.8984436178804046606023574
y[1] (numeric) = 3736670.8984435236919012966715505
absolute error = 9.41885033639308069e-08
relative error = 2.5206528999693764289540395705541e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.77
y[1] (analytic) = 3812156.6578311598641371450770066
y[1] (numeric) = 3812156.657831063772897234725726
absolute error = 9.60912399103512806e-08
relative error = 2.5206529672109596314095145508479e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.78
y[1] (analytic) = 3889167.3307112674711441079482542
y[1] (numeric) = 3889167.3307111694387298232209245
absolute error = 9.80324142847273297e-08
relative error = 2.5206530331210702784290463967732e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.79
y[1] (analytic) = 3967733.7223799154070872016568536
y[1] (numeric) = 3967733.722379815394284218965479
absolute error = 1.000128029826913746e-07
relative error = 2.5206530977260732902206039130363e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.8
y[1] (analytic) = 4047887.26044133698751439541358
y[1] (numeric) = 4047887.2604412349543162092854442
absolute error = 1.020331981861281358e-07
relative error = 2.5206531610518115337364300312894e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.81
y[1] (analytic) = 4129660.0073794848714964748106119
y[1] (numeric) = 4129660.0073793807770883947526621
absolute error = 1.040944080800579498e-07
relative error = 2.5206532231236161460436080587485e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.82
y[1] (analytic) = 4213084.673383452148176743451631
y[1] (numeric) = 4213084.6733833459509195675300775
absolute error = 1.061972571759215535e-07
relative error = 2.5206532839663166754147865068058e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.83
y[1] (analytic) = 4298194.6294319841156764410597673
y[1] (numeric) = 4298194.6294318757730897996641131
absolute error = 1.083425866413956542e-07
relative error = 2.5206533436042510150454737111380e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.84
y[1] (analytic) = 4385023.9206423147315299234347478
y[1] (numeric) = 4385023.9206422042002752865635319
absolute error = 1.105312546368712159e-07
relative error = 2.5206534020612751359347257350688e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.85
y[1] (analytic) = 4473607.2798886674472166374804648
y[1] (numeric) = 4473607.2798885546830799787514072
absolute error = 1.127641366587290576e-07
relative error = 2.5206534593607726211302232478042e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.86
y[1] (analytic) = 4563980.1416958680087061363041776
y[1] (numeric) = 4563980.1416957529665802467540976
absolute error = 1.150421258895500800e-07
relative error = 2.5206535155256640406825631131876e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.87
y[1] (analytic) = 4656178.6564136268533869930605698
y[1] (numeric) = 4656178.6564135094872534376603637
absolute error = 1.173661335554002061e-07
relative error = 2.5206535705784160969967216223931e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.88
y[1] (analytic) = 4750239.7046771610053313369556802
y[1] (numeric) = 4750239.7046770412682420466227224
absolute error = 1.197370892903329578e-07
relative error = 2.5206536245410506209506651455249e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.89
y[1] (analytic) = 4846200.9121599399104639799575569
y[1] (numeric) = 4846200.9121598177545224717020838
absolute error = 1.221559415082554731e-07
relative error = 2.5206536774351533914531853295691e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=104040092, alloc=4586680, time=4.12
x[1] = 6.9
y[1] (analytic) = 4944100.6646244565066761023956772
y[1] (numeric) = 4944100.6646243318830183200889633
absolute error = 1.246236577823067139e-07
relative error = 2.5206537292818827540912192036304e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.91
y[1] (analytic) = 5043978.1232770440379911662366375
y[1] (numeric) = 5043978.1232769168967659343370144
absolute error = 1.271412252318996231e-07
relative error = 2.5206537801019780926561427111160e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.92
y[1] (analytic) = 5145873.240432880744242343021677
y[1] (numeric) = 5145873.240432751034591425439626
absolute error = 1.297096509175820510e-07
relative error = 2.5206538299157681144374147031160e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.93
y[1] (analytic) = 5249826.775497448637006841542527
y[1] (numeric) = 5249826.7754973163070445976681234
absolute error = 1.323299622438744036e-07
relative error = 2.5206538787431790115880913360101e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.94
y[1] (analytic) = 5355880.311270839158396467167629
y[1] (numeric) = 5355880.3112707041551890969224814
absolute error = 1.350032073702451476e-07
relative error = 2.5206539266037423911936056123467e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.95
y[1] (analytic) = 5464076.2705814276623615697235985
y[1] (numeric) = 5464076.2705812899319059393350237
absolute error = 1.377304556303885748e-07
relative error = 2.5206539735166031151603671469393e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.96
y[1] (analytic) = 5574457.933255570410086185047277
y[1] (numeric) = 5574457.9332554298972882250747388
absolute error = 1.405127979599725382e-07
relative error = 2.5206540195005269651482110561047e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.97
y[1] (analytic) = 5687069.4534301121845381717268305
y[1] (numeric) = 5687069.4534299688331908386995671
absolute error = 1.433513473330272634e-07
relative error = 2.5206540645739081171409591715509e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.98
y[1] (analytic) = 5801955.8772146297580566757483795
y[1] (numeric) = 5801955.8772144835108174685985777
absolute error = 1.462472392071498018e-07
relative error = 2.5206541087547765228365932082975e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 6.99
y[1] (analytic) = 5919163.1607104763458636775786715
y[1] (numeric) = 5919163.1607103271442316998764628
absolute error = 1.492016319777022087e-07
relative error = 2.5206541520608051153733921551762e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7
y[1] (analytic) = 6038738.188393834903538155758013
y[1] (numeric) = 6038738.1883936826878307145728787
absolute error = 1.522157074411851343e-07
relative error = 2.5206541945093168904994388011542e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.01
y[1] (analytic) = 6160728.7918701337348825020902595
y[1] (numeric) = 6160728.7918699784442112341180789
absolute error = 1.552906712679721806e-07
relative error = 2.5206542361172918210967973405058e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.02
y[1] (analytic) = 6285183.769007326426486543909639
y[1] (numeric) = 6285183.7690071679987330593155129
absolute error = 1.584277534845941261e-07
relative error = 2.5206542769013736409243708129339e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.03
y[1] (analytic) = 6412152.9034556896760767996571225
y[1] (numeric) = 6412152.9034555280478678338911821
absolute error = 1.616282089657659404e-07
relative error = 2.5206543168778765303938251587629e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.04
y[1] (analytic) = 6541686.984561947194049748724292
y[1] (numeric) = 6541686.9845617823007318123708905
absolute error = 1.648933179363534015e-07
relative error = 2.5206543560627916322572303034320e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.05
y[1] (analytic) = 6673837.8276856855932749212070705
y[1] (numeric) = 6673837.8276855173688884377269598
absolute error = 1.682243864834801107e-07
relative error = 2.5206543944717934282650903636695e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.06
y[1] (analytic) = 6808658.294926189104412885835661
y[1] (numeric) = 6808658.2949260174816658068559029
absolute error = 1.716227470789797581e-07
relative error = 2.5206544321202460302203231697960e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.07
y[1] (analytic) = 6946202.316267984126995744277038
y[1] (numeric) = 6946202.3162678090372366318744158
absolute error = 1.750897591124026222e-07
relative error = 2.5206544690232093194708056232905e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.08
y[1] (analytic) = 7086524.9111535521160349172568945
y[1] (numeric) = 7086524.9111533734892254824673781
absolute error = 1.786268094347895164e-07
relative error = 2.5206545051954449845769112104313e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.09
y[1] (analytic) = 7229682.2104918401769508726132765
y[1] (numeric) = 7229682.2104916579416379591825821
absolute error = 1.822353129134306944e-07
relative error = 2.5206545406514223900712758834777e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.1
y[1] (analytic) = 7375731.479111373066513487757585
y[1] (numeric) = 7375731.479111187149800489925951
absolute error = 1.859167129978316340e-07
relative error = 2.5206545754053244012241589852948e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.11
y[1] (analytic) = 7524731.138666948143972241059994
y[1] (numeric) = 7524731.1386667584714899439479092
absolute error = 1.896724822971120848e-07
relative error = 2.5206546094710530462302089828065e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.12
y[1] (analytic) = 7676740.7910090762557833559146575
y[1] (numeric) = 7676740.7910088827516601868453069
absolute error = 1.935041231690693506e-07
relative error = 2.5206546428622350697942015092511e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.13
y[1] (analytic) = 7831821.2420255166418844880689715
y[1] (numeric) = 7831821.2420253192287161669275309
absolute error = 1.974131683211414406e-07
relative error = 2.5206546755922273918172317606498e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.14
y[1] (analytic) = 7990034.5259644427953708367008525
y[1] (numeric) = 7990034.5259642413941894131903722
absolute error = 2.014011814235104803e-07
relative error = 2.5206547076741224416131180769155e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.15
y[1] (analytic) = 8151443.930248968866229751966743
y[1] (numeric) = 8151443.9302487633964720173751086
absolute error = 2.054697577345916344e-07
relative error = 2.5206547391207534058870052000318e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.16
y[1] (analytic) = 8316114.020792962750560096416026
y[1] (numeric) = 8316114.0207927531300353572582832
absolute error = 2.096205247391577428e-07
relative error = 2.5206547699446993561558002962464e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.17
y[1] (analytic) = 8484110.667828272528060723160482
y[1] (numeric) = 8484110.6678280586729179238055521
absolute error = 2.138551427993549299e-07
relative error = 2.5206548001582902815645811026502e-12 %
Correct digits = 14
h = 0.01
bytes used=108040808, alloc=4586680, time=4.28
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.18
y[1] (analytic) = 8655501.072253697482730676896288
y[1] (numeric) = 8655501.0722534793074248580266864
absolute error = 2.181753058188696016e-07
relative error = 2.5206548297736120221294464825304e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.19
y[1] (analytic) = 8830353.7925162436465136957632765
y[1] (numeric) = 8830353.7925160210637717752507707
absolute error = 2.225827419205125058e-07
relative error = 2.5206548588025111060113373485804e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.2
y[1] (analytic) = 9008738.772035416726525991348134
y[1] (numeric) = 9008738.7720351896473118538572364
absolute error = 2.270792141374908976e-07
relative error = 2.5206548872565994763191951796032e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.21
y[1] (analytic) = 9190727.3671815224987003124379245
y[1] (numeric) = 9190727.3671812908321791937925943
absolute error = 2.316665211186453302e-07
relative error = 2.5206549151472591430903278902256e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.22
y[1] (analytic) = 9376392.3758191663610527293536245
y[1] (numeric) = 9376392.3758189300145548814204499
absolute error = 2.363464978479331746e-07
relative error = 2.5206549424856467488962625619800e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.23
y[1] (analytic) = 9565808.0664273698269785140571225
y[1] (numeric) = 9565808.0664271287059621356104553
absolute error = 2.411210163784466672e-07
relative error = 2.5206549692826980082860802913782e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.24
y[1] (analytic) = 9759050.2078079523934478312409215
y[1] (numeric) = 9759050.2078077064014612499818118
absolute error = 2.459919865812591097e-07
relative error = 2.5206549955491321034956784615009e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.25
y[1] (analytic) = 9956196.0993940625329655584474175
y[1] (numeric) = 9956196.0993938115716086490486555
absolute error = 2.509613569093987620e-07
relative error = 2.5206550212954559541943348134689e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.26
y[1] (analytic) = 10157324.602170981625811153927047
y[1] (numeric) = 10157324.602170725594695976671012
absolute error = 2.56031115177256035e-07
relative error = 2.5206550465319684387137669406319e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.27
y[1] (analytic) = 10362516.170221569566414351016714
y[1] (numeric) = 10362516.170221308363124995280965
absolute error = 2.61203289355735749e-07
relative error = 2.5206550712687644905049006829118e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.28
y[1] (analytic) = 10571852.882908970642720778853871
y[1] (numeric) = 10571852.882908704162772395381333
absolute error = 2.66479948383472538e-07
relative error = 2.5206550955157391602596889376240e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.29
y[1] (analytic) = 10785418.47770945320000772214355
y[1] (numeric) = 10785418.477709181336804727709662
absolute error = 2.71863202994433888e-07
relative error = 2.5206551192825915566474054444955e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.3
y[1] (analytic) = 11003298.383708516662792578790757
y[1] (numeric) = 11003298.383708239307586016548886
absolute error = 2.77355206562241871e-07
relative error = 2.5206551425788287586719619699343e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.31
y[1] (analytic) = 11225579.755773664804263493979397
y[1] (numeric) = 11225579.755773381846107532428098
absolute error = 2.82958155961551299e-07
relative error = 2.5206551654137695549992011025633e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.32
y[1] (analytic) = 11452351.509417514828182995080206
y[1] (numeric) = 11452351.509417226153890548251322
absolute error = 2.88674292446828884e-07
relative error = 2.5206551877965482278630388631208e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.33
y[1] (analytic) = 11683704.356365187971745041197345
y[1] (numeric) = 11683704.356364893465842492312438
absolute error = 2.94505902548884907e-07
relative error = 2.5206552097361181925209521773953e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.34
y[1] (analytic) = 11919730.840840209059864828015072
y[1] (numeric) = 11919730.840839908604545838499045
absolute error = 3.00455318989516027e-07
relative error = 2.5206552312412555565655225824314e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.35
y[1] (analytic) = 12160525.3765834298545415087963
y[1] (numeric) = 12160525.376583123329619894171191
absolute error = 3.06524921614625109e-07
relative error = 2.5206552523205626813199064831316e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.36
y[1] (analytic) = 12406184.284619784262225802468527
y[1] (numeric) = 12406184.284619471545087456277219
absolute error = 3.12717138346191308e-07
relative error = 2.5206552729824715484057837931670e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.37
y[1] (analytic) = 12656805.83178798260483888607641
y[1] (numeric) = 12656805.831787663570392732605168
absolute error = 3.19034446153471242e-07
relative error = 2.5206552932352472047760186338654e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.38
y[1] (analytic) = 12912490.270048557345887085877203
y[1] (numeric) = 12912490.270048231866515042057485
absolute error = 3.25479372043819718e-07
relative error = 2.5206553130869910400405137522338e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.39
y[1] (analytic) = 13173339.876585984014077077450646
y[1] (numeric) = 13173339.876585651959583003924281
absolute error = 3.32054494073526365e-07
relative error = 2.5206553325456440056804098053126e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.4
y[1] (analytic) = 13439458.994720918707503115868418
y[1] (numeric) = 13439458.994720579945060736795888
absolute error = 3.38762442379072530e-07
relative error = 2.5206553516189898351982743350264e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.41
y[1] (analytic) = 13710954.075648917618911744209658
y[1] (numeric) = 13710954.075648572013011514988725
absolute error = 3.45605900229220933e-07
relative error = 2.5206553703146581080644682424555e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.42
y[1] (analytic) = 13987933.721022334626377766912641
y[1] (numeric) = 13987933.721021982038772668553686
absolute error = 3.52587605098358955e-07
relative error = 2.5206553886401273436279544052316e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.43
y[1] (analytic) = 14270508.726392430276193963063494
y[1] (numeric) = 14270508.726392070565844201538602
absolute error = 3.59710349761524892e-07
relative error = 2.5206554066027279834058163337857e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.44
y[1] (analytic) = 14558792.12552906958080353837588
y[1] (numeric) = 14558792.125528702603820126820677
absolute error = 3.66976983411555203e-07
relative error = 2.5206554242096452896062789116138e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=112043964, alloc=4586680, time=4.44
TOP MAIN SOLVE Loop
x[1] = 7.45
y[1] (analytic) = 14852899.235635737101831671928565
y[1] (numeric) = 14852899.235635362711418873128922
absolute error = 3.74390412798799643e-07
relative error = 2.5206554414679222803550481053769e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.46
y[1] (analytic) = 15152947.703477955927124276335606
y[1] (numeric) = 15152947.703477573973520882475454
absolute error = 3.81953603393860152e-07
relative error = 2.5206554583844624903096312418095e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.47
y[1] (analytic) = 15459057.552443562524438573880167
y[1] (numeric) = 15459057.552443172854858000061527
absolute error = 3.89669580573818640e-07
relative error = 2.5206554749660327607973804664786e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.48
y[1] (analytic) = 15771351.230553662209205662555782
y[1] (numeric) = 15771351.230553264667774830127624
absolute error = 3.97541430832428158e-07
relative error = 2.5206554912192659418748584083555e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.49
y[1] (analytic) = 16089953.659443470248706785286932
y[1] (numeric) = 16089953.65944306467640377053538
absolute error = 4.05572303014751552e-07
relative error = 2.5206555071506635391074476705595e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.5
y[1] (analytic) = 16414992.284332631592191561992922
y[1] (numeric) = 16414992.284332217826781985251447
absolute error = 4.13765409576741475e-07
relative error = 2.5206555227665983251397117963624e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.51
y[1] (analytic) = 16746597.125005008021110045198642
y[1] (numeric) = 16746597.12500458589708217493304
absolute error = 4.22124027870265602e-07
relative error = 2.5206555380733168920640751659612e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.52
y[1] (analytic) = 17084900.827818325314058250488892
y[1] (numeric) = 17084900.827817894662556796397821
absolute error = 4.30651501454091071e-07
relative error = 2.5206555530769421218891830476793e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.53
y[1] (analytic) = 17430038.71876448497877434844327
y[1] (numeric) = 17430038.718764045627532917090693
absolute error = 4.39351241431352577e-07
relative error = 2.5206555677834756707489722501115e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.54
y[1] (analytic) = 17782148.857601765383358572633362
y[1] (numeric) = 17782148.857601317156630758594259
absolute error = 4.48226727814039103e-07
relative error = 2.5206555821988003408188549965449e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.55
y[1] (analytic) = 18141372.093080565888941636966199
y[1] (numeric) = 18141372.093080108607430721921079
absolute error = 4.57281510915045120e-07
relative error = 2.5206555963286824548109481119830e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.56
y[1] (analytic) = 18507852.119284785017807802823356
y[1] (numeric) = 18507852.119284318498595034480273
absolute error = 4.66519212768343083e-07
relative error = 2.5206556101787741622255124151482e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.57
y[1] (analytic) = 18881735.533111369959468237114072
y[1] (numeric) = 18881735.533110894015939659268763
absolute error = 4.75943528577845309e-07
relative error = 2.5206556237546156708659936144779e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.58
y[1] (analytic) = 19263171.89291103000089130265951
y[1] (numeric) = 19263171.892910544442663107124688
absolute error = 4.85558228195534822e-07
relative error = 2.5206556370616375171948794911209e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.59
y[1] (analytic) = 19652313.778313570948148477184202
y[1] (numeric) = 19652313.778313075580990847727804
absolute error = 4.95367157629456398e-07
relative error = 2.5206556501051626664008533514537e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.6
y[1] (analytic) = 20049316.851261781470926320595244
y[1] (numeric) = 20049316.851261276096685738424166
absolute error = 5.05374240582171078e-07
relative error = 2.5206556628904087168426080505734e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.61
y[1] (analytic) = 20454339.918278285738238297142446
y[1] (numeric) = 20454339.918277770154758276852947
absolute error = 5.15583480020289499e-07
relative error = 2.5206556754224899341247223562612e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.62
y[1] (analytic) = 20867544.9939902699166265087396
y[1] (numeric) = 20867544.993989743917666733027684
absolute error = 5.25998959775711916e-07
relative error = 2.5206556877064193184313614428542e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.63
y[1] (analytic) = 21289097.365937493268460266814894
y[1] (numeric) = 21289097.365936956643614087599481
absolute error = 5.36624846179215413e-07
relative error = 2.5206556997471106050992068603798e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.64
y[1] (analytic) = 21719165.660689507918889158269708
y[1] (numeric) = 21719165.660688960453499431227942
absolute error = 5.47465389727041766e-07
relative error = 2.5206557115493802318598603299722e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.65
y[1] (analytic) = 22157921.911298535060932071254562
y[1] (numeric) = 22157921.91129797653600529010195
absolute error = 5.58524926781152612e-07
relative error = 2.5206557231179492574984104017754e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.66
y[1] (analytic) = 22605541.62611497964856789081515
y[1] (numeric) = 22605541.626114409840686586983093
absolute error = 5.69807881303832057e-07
relative error = 2.5206557344574452705701980260111e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.67
y[1] (analytic) = 23062203.858993110701257530551248
y[1] (numeric) = 23062203.858992529382490903220676
absolute error = 5.81318766627330572e-07
relative error = 2.5206557455724042193090983532075e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.68
y[1] (analytic) = 23528091.280914990428107327593774
y[1] (numeric) = 23528091.280914397365920068335702
absolute error = 5.93062187259258072e-07
relative error = 2.5206557564672722278846416860357e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.69
y[1] (analytic) = 24003390.25306130269832192114742
y[1] (numeric) = 24003390.253060697655481196699059
absolute error = 6.05042840724448361e-07
relative error = 2.5206557671464074037830548064760e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.7
y[1] (analytic) = 24488290.901358310163625499151908
y[1] (numeric) = 24488290.901357692898106055120219
absolute error = 6.17265519444031689e-07
relative error = 2.5206557776140815338919980368844e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.71
y[1] (analytic) = 24982987.192530759809473062746566
y[1] (numeric) = 24982987.192530130074360410279455
absolute error = 6.29735112652467111e-07
relative error = 2.5206557878744818240661157506999e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=116046708, alloc=4586680, time=4.60
x[1] = 7.72
y[1] (analytic) = 25487677.01169115911132445433992
y[1] (numeric) = 25487677.011690516654716101038456
absolute error = 6.42456608353301464e-07
relative error = 2.5206557979317125841440098975269e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.73
y[1] (analytic) = 26002562.241496459540981134726794
y[1] (numeric) = 26002562.241495804105885820289512
absolute error = 6.55435095314437282e-07
relative error = 2.5206558077897968245341444197596e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.74
y[1] (analytic) = 26527848.84290381115182476311477
y[1] (numeric) = 26527848.842903142476059659406947
absolute error = 6.68675765103707823e-07
relative error = 2.5206558174526779242371824931404e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.75
y[1] (analytic) = 27063746.937557691621549426642953
y[1] (numeric) = 27063746.937557009437635261069543
absolute error = 6.82183914165573410e-07
relative error = 2.5206558269242211531441138893293e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.76
y[1] (analytic) = 27610470.891841365702514312893334
y[1] (numeric) = 27610470.891840669737568373123487
absolute error = 6.95964945939769847e-07
relative error = 2.5206558362082152629075880599018e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.77
y[1] (analytic) = 28168239.402626296784198035056828
y[1] (numeric) = 28168239.402625586759825012300477
absolute error = 7.10024373022756351e-07
relative error = 2.5206558453083739681435907469469e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.78
y[1] (analytic) = 28737275.5847538114757203234322
y[1] (numeric) = 28737275.584753087107900950604553
absolute error = 7.24367819372827647e-07
relative error = 2.5206558542283374648915732259165e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.79
y[1] (analytic) = 29317807.060284011040701838775084
y[1] (numeric) = 29317807.060283272039679279002823
absolute error = 7.39001022559772261e-07
relative error = 2.5206558629716738440499929873587e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.8
y[1] (analytic) = 29910066.049547630439037403807077
y[1] (numeric) = 29910066.049546876509201343830126
absolute error = 7.53929836059976951e-07
relative error = 2.5206558715418805666578322644368e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.81
y[1] (analytic) = 30514289.464037266933240336513903
y[1] (numeric) = 30514289.464036497773008738618604
absolute error = 7.69160231597895299e-07
relative error = 2.5206558799423858275817372450868e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.82
y[1] (analytic) = 31130719.001175135989366651831406
y[1] (numeric) = 31130719.001174351291065117014287
absolute error = 7.84698301534817119e-07
relative error = 2.5206558881765499360613795488159e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.83
y[1] (analytic) = 31759601.240995262838466427800415
y[1] (numeric) = 31759601.240994462288205121906206
absolute error = 8.00550261305894209e-07
relative error = 2.5206558962476666712048242874176e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.84
y[1] (analytic) = 32401187.744778783864299992290895
y[1] (numeric) = 32401187.744777967141848085893613
absolute error = 8.16722451906397282e-07
relative error = 2.5206559041589645885540809558614e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.85
y[1] (analytic) = 33055735.15568181325302890389624
y[1] (numeric) = 33055735.155680980031686475697619
absolute error = 8.33221342428198621e-07
relative error = 2.5206559119136083087041433699174e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.86
y[1] (analytic) = 33723505.301396127393264381578908
y[1] (numeric) = 33723505.30139527733973173408382
absolute error = 8.50053532647495088e-07
relative error = 2.5206559195146997966955561216757e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.87
y[1] (analytic) = 34404765.298883732669060578691932
y[1] (numeric) = 34404765.298882865443304913885335
absolute error = 8.67225755664806597e-07
relative error = 2.5206559269652795906097974613828e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.88
y[1] (analytic) = 35099787.661227211869449422204209
y[1] (numeric) = 35099787.661226327124568823898111
absolute error = 8.84744880598306098e-07
relative error = 2.5206559342683280186734834873547e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.89
y[1] (analytic) = 35808850.406638590777771112278558
y[1] (numeric) = 35808850.40663768815985578072012
absolute error = 9.02617915331558438e-07
relative error = 2.5206559414267663983234241895881e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.9
y[1] (analytic) = 36532237.169670329940906948419244
y[1] (numeric) = 36532237.169669409088897631652018
absolute error = 9.20852009316767226e-07
relative error = 2.5206559484434582026851712471894e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.91
y[1] (analytic) = 37270237.314672927497955169893425
y[1] (numeric) = 37270237.314671988043498735242386
absolute error = 9.39454456434651039e-07
relative error = 2.5206559553212101984733796350499e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.92
y[1] (analytic) = 38023146.051544517622269488862932
y[1] (numeric) = 38023146.051543559189571576769966
absolute error = 9.58432697912092966e-07
relative error = 2.5206559620627735785928054217020e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.93
y[1] (analytic) = 38791264.553818765959585688720193
y[1] (numeric) = 38791264.553817788165260389989614
absolute error = 9.77794325298730579e-07
relative error = 2.5206559686708450624874843537750e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.94
y[1] (analytic) = 39574900.079138298794937804329571
y[1] (numeric) = 39574900.079137301247854300652565
absolute error = 9.97547083503677006e-07
relative error = 2.5206559751480679642775313889443e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.95
y[1] (analytic) = 40374366.092161856926364457189943
y[1] (numeric) = 40374366.092160839227490563602097
absolute error = 1.017698873893587846e-06
relative error = 2.5206559814970332580005255410540e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.96
y[1] (analytic) = 41189982.389954338745738730018752
y[1] (numeric) = 41189982.389953300487981276705567
absolute error = 1.038257757453313185e-06
relative error = 2.5206559877202806158801197864945e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.97
y[1] (analytic) = 42022075.229909890215843445507542
y[1] (numeric) = 42022075.229908830983885435108526
absolute error = 1.059231958010399016e-06
relative error = 2.5206559938202994209321459190441e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.98
y[1] (analytic) = 42870977.46025921268534662109992
y[1] (numeric) = 42870977.460258132055481096372011
absolute error = 1.080629865524727909e-06
relative error = 2.5206559997995297606973874645549e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 7.99
y[1] (analytic) = 43737028.653213293204923728971759
y[1] (numeric) = 43737028.653212190744884284356927
absolute error = 1.102460039444614832e-06
relative error = 2.5206560056603634043407145300072e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=120053060, alloc=4586680, time=4.76
TOP MAIN SOLVE Loop
x[1] = 8
y[1] (analytic) = 44620575.240796816611926617831498
y[1] (numeric) = 44620575.240795691880714487130889
absolute error = 1.124731212130700609e-06
relative error = 2.5206560114051447696477453657642e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.01
y[1] (analytic) = 45521970.653425594559569273572808
y[1] (numeric) = 45521970.653424447107276924560207
absolute error = 1.147452292349012601e-06
relative error = 2.5206560170361718415961268490603e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.02
y[1] (analytic) = 46441575.461283444309965782969736
y[1] (numeric) = 46441575.461282273677596948379828
absolute error = 1.170632368834589908e-06
relative error = 2.5206560225556971053382500442736e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.03
y[1] (analytic) = 47379757.518555069927587900020494
y[1] (numeric) = 47379757.518553875646873972921924
absolute error = 1.194280713927098570e-06
relative error = 2.5206560279659284481921680654405e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.04
y[1] (analytic) = 48336892.110572640948750322130124
y[1] (numeric) = 48336892.110571422541963042239063
absolute error = 1.218406787279891061e-06
relative error = 2.5206560332690300315138651370675e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.05
y[1] (analytic) = 49313362.103934929120572012080945
y[1] (numeric) = 49313362.103933686100332368087179
absolute error = 1.243020239643993766e-06
relative error = 2.5206560384671231684543778282745e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.06
y[1] (analytic) = 50309558.099659052865724328209525
y[1] (numeric) = 50309558.099657784734807599673459
absolute error = 1.268130916728536066e-06
relative error = 2.5206560435622871641670653975354e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.07
y[1] (analytic) = 51325878.589426092212802348743525
y[1] (numeric) = 51325878.589424798463939209578251
absolute error = 1.293748863139165274e-06
relative error = 2.5206560485565601602907402041817e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.08
y[1] (analytic) = 52362730.11498307452159418176301
y[1] (numeric) = 52362730.114981754637267785740202
absolute error = 1.319884326396022808e-06
relative error = 2.5206560534519399191491372800211e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.09
y[1] (analytic) = 53420527.430765093922926516513745
y[1] (numeric) = 53420527.430763747375165483624843
absolute error = 1.346547761032888902e-06
relative error = 2.5206560582503846605702583060138e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.1
y[1] (analytic) = 54499693.66980261548918619096306
y[1] (numeric) = 54499693.669801241739353411827552
absolute error = 1.373749832779135508e-06
relative error = 2.5206560629538138331322477757907e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.11
y[1] (analytic) = 55600660.51298032926931286800815
y[1] (numeric) = 55600660.512978927767890041847903
absolute error = 1.401501422826160247e-06
relative error = 2.5206560675641088646478673311303e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.12
y[1] (analytic) = 56723868.36171525998669162855176
y[1] (numeric) = 56723868.361713830173059448543691
absolute error = 1.429813632180008069e-06
relative error = 2.5206560720831139450755284362470e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.13
y[1] (analytic) = 57869766.51412320594623013300421
y[1] (numeric) = 57869766.514121747248444031082547
absolute error = 1.458697786101921663e-06
relative error = 2.5206560765126367221785077004885e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.14
y[1] (analytic) = 59038813.34474397607510035287255
y[1] (numeric) = 59038813.34474248790966171427556
absolute error = 1.488165438638596990e-06
relative error = 2.5206560808544490785808580910661e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.15
y[1] (analytic) = 60231476.487897317588329614387395
y[1] (numeric) = 60231476.487895799359952370431408
absolute error = 1.518228377243955987e-06
relative error = 2.5206560851102877872690736806346e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.16
y[1] (analytic) = 61448233.02474287909508548963508
y[1] (numeric) = 61448233.024741330196457995349759
absolute error = 1.548898627494285321e-06
relative error = 2.5206560892818552364655960170182e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.17
y[1] (analytic) = 62689569.67411903562506314591075
y[1] (numeric) = 62689569.674117455436605247283494
absolute error = 1.580188457898627256e-06
relative error = 2.5206560933708201247072477542844e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.18
y[1] (analytic) = 63955982.987236913649537302395165
y[1] (numeric) = 63955982.987235301539152496048339
absolute error = 1.612110384806346826e-06
relative error = 2.5206560973788180854114331324392e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.19
y[1] (analytic) = 65247979.54630749630304216107033
y[1] (numeric) = 65247979.54630585162586474723185
absolute error = 1.644677177413838480e-06
relative error = 2.5206561013074523619151223330234e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.2
y[1] (analytic) = 66566076.167181262296164698539615
y[1] (numeric) = 66566076.167179584394301826164703
absolute error = 1.677901862872374912e-06
relative error = 2.5206561051582944700706447713656e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.21
y[1] (analytic) = 67910800.10608141707691431332166
y[1] (numeric) = 67910800.106079705279182814180409
absolute error = 1.711797731499141251e-06
relative error = 2.5206561089328848003678161461888e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.22
y[1] (analytic) = 69282689.270513412289613211465555
y[1] (numeric) = 69282689.27051166591127111792642
absolute error = 1.746378342093539135e-06
relative error = 2.5206561126327332252223599545839e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.23
y[1] (analytic) = 70682292.43443512015125550805362
y[1] (numeric) = 70682292.434433338493728147166331
absolute error = 1.781657527360887289e-06
relative error = 2.5206561162593197483308174630537e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.24
y[1] (analytic) = 72110169.457773733684059499332415
y[1] (numeric) = 72110169.457771916034660053644358
absolute error = 1.817649399445688057e-06
relative error = 2.5206561198140950466934515317682e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.25
y[1] (analytic) = 73566891.510377202491237154987105
y[1] (numeric) = 73566891.510375348122881578313719
absolute error = 1.854368355576673386e-06
relative error = 2.5206561232984810782409477345926e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.26
y[1] (analytic) = 75053041.30048978763635009590591
y[1] (numeric) = 75053041.30048789580726627001763
absolute error = 1.891829083825888280e-06
relative error = 2.5206561267138716441813987485784e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=124055976, alloc=4586680, time=4.92
x[1] = 8.27
y[1] (analytic) = 76569213.307843128894585149717065
y[1] (numeric) = 76569213.307841198848016165601607
absolute error = 1.930046568984115458e-06
relative error = 2.5206561300616329418784876486567e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.28
y[1] (analytic) = 78116014.021456063910772329712145
y[1] (numeric) = 78116014.021454094874673774720666
absolute error = 1.969036098554991479e-06
relative error = 2.5206561333431041272268461913911e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.29
y[1] (analytic) = 79694062.18223832236251497561289
y[1] (numeric) = 79694062.18223631354924610540087
absolute error = 2.008813268870212020e-06
relative error = 2.5206561365595978332814863922304e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.3
y[1] (analytic) = 81303989.030495139840856360266645
y[1] (numeric) = 81303989.030493090446865031994142
absolute error = 2.049393991328272503e-06
relative error = 2.5206561397124006895744952172690e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.31
y[1] (analytic) = 82946438.55843179659414054845654
y[1] (numeric) = 82946438.558429705799641789216863
absolute error = 2.090794498759239677e-06
relative error = 2.5206561428027738729249650142354e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.32
y[1] (analytic) = 84622067.76775908631733712543773
y[1] (numeric) = 84622067.767756953285985207337687
absolute error = 2.133031351918100043e-06
relative error = 2.5206561458319535595352315135664e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.33
y[1] (analytic) = 86331546.932502760609130905803835
y[1] (numeric) = 86331546.932500584487684796521125
absolute error = 2.176121446109282710e-06
relative error = 2.5206561488011514782388582758026e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.34
y[1] (analytic) = 88075559.86712207637873210667421
y[1] (numeric) = 88075559.867119856296714161667823
absolute error = 2.220082017945006387e-06
relative error = 2.5206561517115553316108021877641e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.35
y[1] (analytic) = 89854804.200044697196331340555665
y[1] (numeric) = 89854804.20004243226567910040152
absolute error = 2.264930652240154145e-06
relative error = 2.5206561545643293298387225940496e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.36
y[1] (analytic) = 91669991.652727366194920256655915
y[1] (numeric) = 91669991.652725055509631210222111
absolute error = 2.310685289046433804e-06
relative error = 2.5206561573606146173069610486826e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.37
y[1] (analytic) = 93521848.324353978513497142070355
y[1] (numeric) = 93521848.324351621149266313432519
absolute error = 2.357364230828637836e-06
relative error = 2.5206561601015297474287955492706e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.38
y[1] (analytic) = 95411114.98228493630665967767748
y[1] (numeric) = 95411114.982282531320509891804166
absolute error = 2.404986149785873314e-06
relative error = 2.5206561627881711252698730489706e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.39
y[1] (analytic) = 97338547.358373969935298388449615
y[1] (numeric) = 97338547.358371516365203067759104
absolute error = 2.453570095320690511e-06
relative error = 2.5206561654216134360005413395203e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.4
y[1] (analytic) = 99304916.45127095601781069369062
y[1] (numeric) = 99304916.451268452882309034592686
absolute error = 2.503135501659097934e-06
relative error = 2.5206561680029100943314378921717e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.41
y[1] (analytic) = 101311008.83483165749981402661056
y[1] (numeric) = 101311008.83482910379761840209872
absolute error = 2.55370219562451184e-06
relative error = 2.5206561705330936512518318196415e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.42
y[1] (analytic) = 103357626.97275775375057060487123
y[1] (numeric) = 103357626.97275514846016603612125
absolute error = 2.60529040456874998e-06
relative error = 2.5206561730131762233218575391573e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.43
y[1] (analytic) = 105445589.53959302089341875970134
y[1] (numeric) = 105445589.53959036297265429645934
absolute error = 2.65792076446324200e-06
relative error = 2.5206561754441498701139581699692e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.44
y[1] (analytic) = 107575731.7482040651223491335806
y[1] (numeric) = 107575731.74820135350802097988742
absolute error = 2.71161432815369318e-06
relative error = 2.5206561778269870085668797739924e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.45
y[1] (analytic) = 109748905.68387660566452037373906
y[1] (numeric) = 109748905.68387383927194659223563
absolute error = 2.76639257378150343e-06
relative error = 2.5206561801626408068770934001490e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.46
y[1] (analytic) = 111965980.645160950356575829235
y[1] (numeric) = 111965980.64515812807916245392476
absolute error = 2.82227741337531024e-06
relative error = 2.5206561824520455749778627305349e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.47
y[1] (analytic) = 114227843.49160300656965871449164
y[1] (numeric) = 114227843.4916001272784570983994
absolute error = 2.87929120161609224e-06
relative error = 2.5206561846961170848247907712201e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.48
y[1] (analytic) = 116535398.99849992452397104364649
y[1] (numeric) = 116535398.99849698706722626430677
absolute error = 2.93745674477933972e-06
relative error = 2.5206561868957529937273650270513e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.49
y[1] (analytic) = 118889570.21882227998034047160142
y[1] (numeric) = 118889570.2188192831830306137325
absolute error = 2.99679730985786892e-06
relative error = 2.5206561890518332067743346320930e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.5
y[1] (analytic) = 121291298.85244757000756511324502
y[1] (numeric) = 121291298.85244451267093124431572
absolute error = 3.05733663386892930e-06
relative error = 2.5206561911652201546782322429396e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.51
y[1] (analytic) = 123741545.62285272014702219765235
y[1] (numeric) = 123741545.62284960104808884832528
absolute error = 3.11909893334932707e-06
relative error = 2.5206561932367592508000969569139e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.52
y[1] (analytic) = 126241290.66141628500004013095334
y[1] (numeric) = 126241290.66141310289112608859066
absolute error = 3.18210891404236268e-06
relative error = 2.5206561952672791252686066703741e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.53
y[1] (analytic) = 128791533.89948406824236657873952
y[1] (numeric) = 128791533.89948082185058579828191
absolute error = 3.24639178078045761e-06
relative error = 2.5206561972575920037414872752733e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.54
y[1] (analytic) = 131393295.46835499354134965648728
y[1] (numeric) = 131393295.46835168156810208906385
absolute error = 3.31197324756742343e-06
relative error = 2.5206561992084940491045817560708e-12 %
bytes used=128057668, alloc=4586680, time=5.09
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.55
y[1] (analytic) = 134047616.10734722605741515514348
y[1] (numeric) = 134047616.10734384717786729073733
absolute error = 3.37887954786440615e-06
relative error = 2.5206562011207656536410453523831e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.56
y[1] (analytic) = 136755557.58010777641939455838978
y[1] (numeric) = 136755557.58010432928194947476934
absolute error = 3.44713744508362044e-06
relative error = 2.5206562029951717352349849361306e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.57
y[1] (analytic) = 139518203.09933211656616271358866
y[1] (numeric) = 139518203.09932859979191941951724
absolute error = 3.51677424329407142e-06
relative error = 2.5206562048324620840935039762889e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.58
y[1] (analytic) = 142336657.76006370096392552894999
y[1] (numeric) = 142336657.76006011314612738540368
absolute error = 3.58781779814354631e-06
relative error = 2.5206562066333716530138130942267e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.59
y[1] (analytic) = 145212048.98174671878504859313712
y[1] (numeric) = 145212048.9817430584885205918922
absolute error = 3.66029652800124492e-06
relative error = 2.5206562083986208239380547830761e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.6
y[1] (analytic) = 148145526.95920890404341353219544
y[1] (numeric) = 148145526.95920516980398820668917
absolute error = 3.73423942532550627e-06
relative error = 2.5206562101289157136747988599099e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.61
y[1] (analytic) = 151138265.12275480282354055677862
y[1] (numeric) = 151138265.12275099314747229560009
absolute error = 3.80967606826117853e-06
relative error = 2.5206562118249484783452805333363e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.62
y[1] (analytic) = 154191460.60755354104502754002258
y[1] (numeric) = 154191460.60754965440839506875131
absolute error = 3.88663663247127127e-06
relative error = 2.5206562134873975428897340709185e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.63
y[1] (analytic) = 157306334.73250885412799841920134
y[1] (numeric) = 157306334.73250488897609521157827
absolute error = 3.96515190320762307e-06
relative error = 2.5206562151169279122230491248489e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.64
y[1] (analytic) = 160484133.48880293295644596245566
y[1] (numeric) = 160484133.48879888770315833704296
absolute error = 4.04525328762541270e-06
relative error = 2.5206562167141914166380820234922e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.65
y[1] (analytic) = 163726128.03830951019185903673886
y[1] (numeric) = 163726128.03830538321903169029889
absolute error = 4.12697282734643997e-06
relative error = 2.5206562182798269798186158261153e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.66
y[1] (analytic) = 167033615.22207555881725625280584
y[1] (numeric) = 167033615.22207134847404497660414
absolute error = 4.21034321127620170e-06
relative error = 2.5206562198144608879985677434524e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.67
y[1] (analytic) = 170407918.07907500237088997868234
y[1] (numeric) = 170407918.07907070697310129879262
absolute error = 4.29539778867988972e-06
relative error = 2.5206562213187070058741323785359e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.68
y[1] (analytic) = 173850386.37544194527052256321009
y[1] (numeric) = 173850386.37543756309994004066843
absolute error = 4.38217058252254166e-06
relative error = 2.5206562227931670531711424930977e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.69
y[1] (analytic) = 177362397.14439512357694163772692
y[1] (numeric) = 177362397.14439065288063855904633
absolute error = 4.47069630307868059e-06
relative error = 2.5206562242384308326984590111671e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.7
y[1] (analytic) = 180945355.2370695531761085661043
y[1] (numeric) = 180945355.23706499216574674921664
absolute error = 4.56101036181688766e-06
relative error = 2.5206562256550764780525851775817e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.71
y[1] (analytic) = 184600693.88447571538373280460992
y[1] (numeric) = 184600693.88447106223484723974828
absolute error = 4.65314888556486164e-06
relative error = 2.5206562270436706559334995395048e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.72
y[1] (analytic) = 188329875.27081107113940304730257
y[1] (numeric) = 188329875.27080632399067208667081
absolute error = 4.74714873096063176e-06
relative error = 2.5206562284047688281612079480030e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.73
y[1] (analytic) = 192134391.11835323604020825478076
y[1] (numeric) = 192134391.11834839299270905907645
absolute error = 4.84304749919570431e-06
relative error = 2.5206562297389154514533982273378e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.74
y[1] (analytic) = 196015763.28416878128254166356314
y[1] (numeric) = 196015763.28416384039899060752254
absolute error = 4.94088355105604060e-06
relative error = 2.5206562310466441966263211174157e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.75
y[1] (analytic) = 199975544.36887635198868792591768
y[1] (numeric) = 199975544.36887131129266565903481
absolute error = 5.04069602226688287e-06
relative error = 2.5206562323284781833178578679715e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.76
y[1] (analytic) = 204015318.33770761628247381801054
y[1] (numeric) = 204015318.33770247375763467044441
absolute error = 5.14252483914756613e-06
relative error = 2.5206562335849301516098644846879e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.77
y[1] (analytic) = 208136701.15411447777453584262422
y[1] (numeric) = 208136701.15410923136380126004587
absolute error = 5.24641073458257835e-06
relative error = 2.5206562348165027162707210013541e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.78
y[1] (analytic) = 212341341.42617600279040764204278
y[1] (numeric) = 212341341.42617065039514332678556
absolute error = 5.35239526431525722e-06
relative error = 2.5206562360236884956034543821328e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.79
y[1] (analytic) = 216630921.06606363373119240338548
y[1] (numeric) = 216630921.06605817321036883274371
absolute error = 5.46052082357064177e-06
relative error = 2.5206562372069704055909593344304e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.8
y[1] (analytic) = 221007155.96282848344515127592358
y[1] (numeric) = 221007155.96282291261448726179611
absolute error = 5.57083066401412747e-06
relative error = 2.5206562383668217607104768437475e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.81
y[1] (analytic) = 225471796.66877983449857330152012
y[1] (numeric) = 225471796.66877415112966224881092
absolute error = 5.68336891105270920e-06
relative error = 2.5206562395037065182064501275473e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=132059740, alloc=4586680, time=5.25
TOP MAIN SOLVE Loop
x[1] = 8.82
y[1] (analytic) = 230026629.09972940389747055349192
y[1] (numeric) = 230026629.09972360571688906775955
absolute error = 5.79818058148573237e-06
relative error = 2.5206562406180794515434986175476e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.83
y[1] (analytic) = 234673475.24938148030270184699736
y[1] (numeric) = 234673475.24937556499110033478449
absolute error = 5.91531160151221287e-06
relative error = 2.5206562417103863234139215234449e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.84
y[1] (analytic) = 239414193.91815469931873990356714
y[1] (numeric) = 239414193.91814866450991480163811
absolute error = 6.03480882510192903e-06
relative error = 2.5206562427810640629958286332273e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.85
y[1] (analytic) = 244250681.45672699528395071640203
y[1] (numeric) = 244250681.4567208385638979787677
absolute error = 6.15672005273763433e-06
relative error = 2.5206562438305409703711228839484e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.86
y[1] (analytic) = 249184872.52460115745716610543386
y[1] (numeric) = 249184872.52459487636311556954612
absolute error = 6.28109405053588774e-06
relative error = 2.5206562448592368416137655906838e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.87
y[1] (analytic) = 254218740.86399442693736636405524
y[1] (numeric) = 254218740.8639880189567966099046
absolute error = 6.40798056975415064e-06
relative error = 2.5206562458675631676309996215932e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.88
y[1] (analytic) = 259354300.08936170047390641086112
y[1] (numeric) = 259354300.08935516304353971890796
absolute error = 6.53743036669195316e-06
relative error = 2.5206562468559232967056257951946e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.89
y[1] (analytic) = 264593604.49286816097592594834907
y[1] (numeric) = 264593604.49286149148070295425835
absolute error = 6.66949522299409072e-06
relative error = 2.5206562478247125833100488227024e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.9
y[1] (analytic) = 269938749.86613353451292566225797
y[1] (numeric) = 269938749.86612673028495929828557
absolute error = 6.80422796636397240e-06
relative error = 2.5206562487743185546029444855015e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.91
y[1] (analytic) = 275391874.33857668246604587427698
y[1] (numeric) = 275391874.33856974078355417887028
absolute error = 6.94168249169540670e-06
relative error = 2.5206562497051210717188234228131e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.92
y[1] (analytic) = 280955159.2326958778449850950396
y[1] (numeric) = 280955159.23268879593120246376198
absolute error = 7.08191378263127762e-06
relative error = 2.5206562506174924626214599546799e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.93
y[1] (analytic) = 286630829.93662688928497431329588
y[1] (numeric) = 286630829.93661966430704075556089
absolute error = 7.22497793355773499e-06
relative error = 2.5206562515117976900865087977237e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.94
y[1] (analytic) = 292421156.79432790759166872014988
y[1] (numeric) = 292421156.79432053665949667745305
absolute error = 7.37093217204269683e-06
relative error = 2.5206562523883944849820284509971e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.95
y[1] (analytic) = 298328456.01374740067386543521249
y[1] (numeric) = 298328456.0137398808389837075729
absolute error = 7.51983488172763959e-06
relative error = 2.5206562532476334993853900417557e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.96
y[1] (analytic) = 304355090.59333817611508650741261
y[1] (numeric) = 304355090.59333050436946082557942
absolute error = 7.67174562568183319e-06
relative error = 2.5206562540898584432586204702796e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.97
y[1] (analytic) = 310503471.26728826936274137274242
y[1] (numeric) = 310503471.26728044263757114437952
absolute error = 7.82672517022836290e-06
relative error = 2.5206562549154062176821592455696e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.98
y[1] (analytic) = 316776057.46984676249339098535579
y[1] (numeric) = 316776057.46983877765788173388699
absolute error = 7.98483550925146880e-06
relative error = 2.5206562557246070491024526531740e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 8.99
y[1] (analytic) = 323175358.31913027673946874813481
y[1] (numeric) = 323175358.3191221305995797532087
absolute error = 8.14613988899492611e-06
relative error = 2.5206562565177846334818821938862e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9
y[1] (analytic) = 329703933.62080367449206373163412
y[1] (numeric) = 329703933.62079536378923037024819
absolute error = 8.31070283336138593e-06
relative error = 2.5206562572952562453651170002097e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.01
y[1] (analytic) = 336364394.89203645644315508812724
y[1] (numeric) = 336364394.89202797785298536533053
absolute error = 8.47859016972279671e-06
relative error = 2.5206562580573328895545159224305e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.02
y[1] (analytic) = 343159406.40614445007908855440986
y[1] (numeric) = 343159406.40613580021003330217918
absolute error = 8.64986905525223068e-06
relative error = 2.5206562588043194069682792758988e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.03
y[1] (analytic) = 350091686.2583346601294339959455
y[1] (numeric) = 350091686.25832583552143020829698
absolute error = 8.82460800378764852e-06
relative error = 2.5206562595365145971775637421914e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.04
y[1] (analytic) = 357164007.45297959312152434179391
y[1] (numeric) = 357164007.45297059024461110344578
absolute error = 9.00287691323834813e-06
relative error = 2.5206562602542113540316064697938e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.05
y[1] (analytic) = 364379199.01285598026768201455036
y[1] (numeric) = 364379199.0128467955205884694901
absolute error = 9.18474709354506026e-06
relative error = 2.5206562609576967615199097126993e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.06
y[1] (analytic) = 371740147.11079160896433458376821
y[1] (numeric) = 371740147.11078223867303937889254
absolute error = 9.37029129520487567e-06
relative error = 2.5206562616472522246193553863164e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.07
y[1] (analytic) = 379249796.22417293672444489221004
y[1] (numeric) = 379249796.22416337714070651979608
absolute error = 9.55958373837241396e-06
relative error = 2.5206562623231535744904024369477e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.08
y[1] (analytic) = 386911150.31277530598246872667446
y[1] (numeric) = 386911150.31276555328232617779942
absolute error = 9.75270014254887504e-06
relative error = 2.5206562629856711807556606645477e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=136062844, alloc=4586680, time=5.41
x[1] = 9.09
y[1] (analytic) = 394727274.02038690756237427406684
y[1] (numeric) = 394727274.02037695784461740321762
absolute error = 9.94971775687084922e-06
relative error = 2.5206562636350700604406477073219e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.1
y[1] (analytic) = 402701293.90070715841597704030042
y[1] (numeric) = 402701293.9006970077005860292986
absolute error = 1.015071539101100182e-05
relative error = 2.5206562642716099768383065639948e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.11
y[1] (analytic) = 410836399.66800986932821520821947
y[1] (numeric) = 410836399.66799951355476850522635
absolute error = 1.035577344670299312e-05
relative error = 2.5206562648955455620809771277310e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.12
y[1] (analytic) = 419135845.47307148453217878913108
y[1] (numeric) = 419135845.47306091955822888588732
absolute error = 1.056497394990324376e-05
relative error = 2.5206562655071263935471944787633e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.13
y[1] (analytic) = 427602951.20487478154234194111443
y[1] (numeric) = 427602951.20486400314175833870334
absolute error = 1.077840058360241109e-05
relative error = 2.5206562661065971154583439277357e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.14
y[1] (analytic) = 436241103.81860873004221249378812
y[1] (numeric) = 436241103.81859773390349119408697
absolute error = 1.099613872129970115e-05
relative error = 2.5206562666941975195962185230271e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.15
y[1] (analytic) = 445053758.69049572747685461506476
y[1] (numeric) = 445053758.69048450920139346165801
absolute error = 1.121827546115340675e-05
relative error = 2.5206562672701626575461837945647e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.16
y[1] (analytic) = 454044440.99998816030912563008838
y[1] (numeric) = 454044440.99997671540946480875634
absolute error = 1.144489966082133204e-05
relative error = 2.5206562678347229182154257584859e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.17
y[1] (analytic) = 463216747.13988718799366269608743
y[1] (numeric) = 463216747.13987551189168969104692
absolute error = 1.167610197300504051e-05
relative error = 2.5206562683881041410547036717751e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.18
y[1] (analytic) = 472574346.15494781598404340370713
y[1] (numeric) = 472574346.15493590400916169156292
absolute error = 1.191197488171214421e-05
relative error = 2.5206562689305276788823555286813e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.19
y[1] (analytic) = 482120981.20954571898397989633077
y[1] (numeric) = 482120981.20953356637124064519072
absolute error = 1.215261273925114005e-05
relative error = 2.5206562694622105124772915236080e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.2
y[1] (analytic) = 491860471.08499290074099888212996
y[1] (numeric) = 491860471.0849805026291949085388
absolute error = 1.239811180397359116e-05
relative error = 2.5206562699833653187452978946724e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.21
y[1] (analytic) = 501796711.70710113661099999944995
y[1] (numeric) = 501796711.70708848804072122069889
absolute error = 1.264857027877875106e-05
relative error = 2.5206562704942005730442233079983e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.22
y[1] (analytic) = 511933677.70460424463850249517745
y[1] (numeric) = 511933677.70459134055015209914481
absolute error = 1.290408835039603264e-05
relative error = 2.5206562709949206099647152481841e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.23
y[1] (analytic) = 522275423.9990625748402529839929
y[1] (numeric) = 522275423.99904941007202352295708
absolute error = 1.316476822946103582e-05
relative error = 2.5206562714857257166440303807582e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.24
y[1] (analytic) = 532826087.4268856996869169070983
y[1] (numeric) = 532826087.42687226897272550593353
absolute error = 1.343071419140116477e-05
relative error = 2.5206562719668122418173415018110e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.25
y[1] (analytic) = 543589888.3941221364863039350752
y[1] (numeric) = 543589888.3941084344536857878863
absolute error = 1.370203261814718890e-05
relative error = 2.5206562724383726110795232340648e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.26
y[1] (analytic) = 554571132.5646780396212377570856
y[1] (numeric) = 554571132.56466406078919706965166
absolute error = 1.397883204068743394e-05
relative error = 2.5206562729005954663711490499234e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.27
y[1] (analytic) = 565774212.5826401726288480974131
y[1] (numeric) = 565774212.58262591140566561578904
absolute error = 1.426122318248162406e-05
relative error = 2.5206562733536656841390842805537e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.28
y[1] (analytic) = 577203609.8293921122747291634804
y[1] (numeric) = 577203609.82937756295572541173794
absolute error = 1.454931900375174246e-05
relative error = 2.5206562737977645159809179877977e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.29
y[1] (analytic) = 588863896.21622655453212262148855
y[1] (numeric) = 588863896.21621171129737595386256
absolute error = 1.484323474666762599e-05
relative error = 2.5206562742330696016432397184664e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.3
y[1] (analytic) = 600759736.0131707912903328748335
y[1] (numeric) = 600759736.01315564820235142946366
absolute error = 1.514308798144536984e-05
relative error = 2.5206562746597550710219174661188e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.31
y[1] (analytic) = 612895887.7147569123677228277078
y[1] (numeric) = 612895887.71474146336906945072628
absolute error = 1.544899865337698152e-05
relative error = 2.5206562750779915997134588567989e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.32
y[1] (analytic) = 625277205.9434830657873630538828
y[1] (numeric) = 625277205.94346730469823224378575
absolute error = 1.576108913081009705e-05
relative error = 2.5206562754879464931181622865331e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.33
y[1] (analytic) = 637908643.39172718619926649621045
y[1] (numeric) = 637908643.39171110671501239925893
absolute error = 1.607948425409695152e-05
relative error = 2.5206562758897837376851045832916e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.34
y[1] (analytic) = 650795252.8028899828331058679279
y[1] (numeric) = 650795252.80287357852172033574339
absolute error = 1.640431138553218451e-05
relative error = 2.5206562762836640618368377397083e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.35
y[1] (analytic) = 663942188.9925596705921868878087
y[1] (numeric) = 663942188.99254293489172658835232
absolute error = 1.673570046029945638e-05
relative error = 2.5206562766697450386336190610517e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.36
y[1] (analytic) = 677354710.91050693713033734044785
y[1] (numeric) = 677354710.91048986334629889319391
absolute error = 1.707378403844725394e-05
relative error = 2.5206562770481811038510407440404e-12 %
Correct digits = 14
h = 0.01
bytes used=140063672, alloc=4586680, time=5.57
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.37
y[1] (analytic) = 691038183.744334971392175524499
y[1] (numeric) = 691038183.74431755269481760982162
absolute error = 1.741869735791467738e-05
relative error = 2.5206562774191236258470669245655e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.38
y[1] (analytic) = 704998081.06562604167721522834515
y[1] (numeric) = 704998081.0656082710988265999258
absolute error = 1.777057838862841935e-05
relative error = 2.5206562777827210015629772270566e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.39
y[1] (analytic) = 719239987.01944311047470212260835
y[1] (numeric) = 719239987.01942498090681443003345
absolute error = 1.812956788769257490e-05
relative error = 2.5206562781391186632055117298832e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.4
y[1] (analytic) = 733769598.5580623159088596160331
y[1] (numeric) = 733769598.55804382009940392267295
absolute error = 1.849580945569336015e-05
relative error = 2.5206562784884591724615484491832e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.41
y[1] (analytic) = 748592727.71982984257061913652135
y[1] (numeric) = 748592727.71981097312102499525982
absolute error = 1.886944959414126153e-05
relative error = 2.5206562788308822837848962318985e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.42
y[1] (analytic) = 763715303.954054754869330940192
y[1] (numeric) = 763715303.95403550423156686659895
absolute error = 1.925063776407359305e-05
relative error = 2.5206562791665249589347841209880e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.43
y[1] (analytic) = 779143376.4928677810367805613794
y[1] (numeric) = 779143376.49284814151033472047498
absolute error = 1.963952644584090442e-05
relative error = 2.5206562794955214696821286725481e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.44
y[1] (analytic) = 794883116.7709948229223179636654
y[1] (numeric) = 794883116.77097478665111786251137
absolute error = 2.003627120010115403e-05
relative error = 2.5206562798180034067973456664524e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.45
y[1] (analytic) = 810940820.89441313324709442590525
y[1] (numeric) = 810940820.89439269221636437985863
absolute error = 2.044103073004604662e-05
relative error = 2.5206562801340997739468757345393e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.46
y[1] (analytic) = 827322912.15887765570416343006775
y[1] (numeric) = 827322912.15885680173721854564188
absolute error = 2.085396694488442587e-05
relative error = 2.5206562804439370178195801679694e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.47
y[1] (analytic) = 844035943.61932497202128453379435
y[1] (numeric) = 844035943.61930369677625992567765
absolute error = 2.127524502460811670e-05
relative error = 2.5206562807476390723453980900693e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.48
y[1] (analytic) = 861086600.7111826518244314295835
y[1] (numeric) = 861086600.71116094679094536345896
absolute error = 2.170503348606612454e-05
relative error = 2.5206562810453274220133895145723e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.49
y[1] (analytic) = 878481703.924632563993206939217
y[1] (numeric) = 878481703.92461042048895656559519
absolute error = 2.214350425037362181e-05
relative error = 2.5206562813371211450737242032052e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.5
y[1] (analytic) = 896228211.53289789049002668881635
y[1] (numeric) = 896228211.53287529965731500612998
absolute error = 2.259083271168268637e-05
relative error = 2.5206562816231369689305569993355e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.51
y[1] (analytic) = 914333222.3756451938462483546549
y[1] (numeric) = 914333222.3756221466484410123541
absolute error = 2.304719780734230080e-05
relative error = 2.5206562819034892974331847304143e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.52
y[1] (analytic) = 932803978.6986149362447633284752
y[1] (numeric) = 932803978.69859142346267385279716
absolute error = 2.351278208947567804e-05
relative error = 2.5206562821782902775432327493750e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.53
y[1] (analytic) = 951647869.05061634026892892022085
y[1] (numeric) = 951647869.05059235249713091667619
absolute error = 2.398777179800354466e-05
relative error = 2.5206562824476498353894977843369e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.54
y[1] (analytic) = 970872431.23904542788925383937065
y[1] (numeric) = 970872431.23902095553231869677831
absolute error = 2.447235693514259234e-05
relative error = 2.5206562827116757158566916640384e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.55
y[1] (analytic) = 990485355.3451084843108642447391
y[1] (numeric) = 990485355.34508351757952283584107
absolute error = 2.496673134140889803e-05
relative error = 2.5206562829704735348816974178910e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.56
y[1] (analytic) = 1010494486.7999570762708049106848
y[1] (numeric) = 1010494486.7999316051780317539699
absolute error = 2.54710927731567149e-05
relative error = 2.5206562832241468157683520115890e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.57
y[1] (analytic) = 1030907829.5229651198081748798446
y[1] (numeric) = 1030907829.5229391341651931961939
absolute error = 2.59856429816836507e-05
relative error = 2.5206562834727970183243412782580e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.58
y[1] (analytic) = 1051733549.1234033501784578134986
y[1] (numeric) = 1051733549.1233768395906638796213
absolute error = 2.65105877939338773e-05
relative error = 2.5206562837165236229818125974760e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.59
y[1] (analytic) = 1072979976.1667919063895748945342
y[1] (numeric) = 1072979976.166764860252380062882
absolute error = 2.70461371948316522e-05
relative error = 2.5206562839554241159913437067502e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.6
y[1] (analytic) = 1094655609.507237614945423187037
y[1] (numeric) = 1094655609.5072100224400119089485
absolute error = 2.75925054112780885e-05
relative error = 2.5206562841895940701387092445903e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.61
y[1] (analytic) = 1116769119.6870889521421530708476
y[1] (numeric) = 1116769119.6870608022311552260763
absolute error = 2.81499109978447713e-05
relative error = 2.5206562844191271417381742376482e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.62
y[1] (analytic) = 1139329352.4052685922314404800978
y[1] (numeric) = 1139329352.4052398736545162815968
absolute error = 2.87185769241985010e-05
relative error = 2.5206562846441151601463755910346e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.63
y[1] (analytic) = 1162345332.0556709207150698269872
y[1] (numeric) = 1162345332.0556416219844055348548
absolute error = 2.92987306642921324e-05
relative error = 2.5206562848646481111478819193673e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
bytes used=144065092, alloc=4586680, time=5.73
TOP MAIN SOLVE Loop
x[1] = 9.64
y[1] (analytic) = 1185826265.3370399189554080075061
y[1] (numeric) = 1185826265.3370100283511206503167
absolute error = 2.98906042873571894e-05
relative error = 2.5206562850808142202533543586976e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.65
y[1] (analytic) = 1209781544.9357714193879605674977
y[1] (numeric) = 1209781544.9357409249534098328462
absolute error = 3.04944345507346515e-05
relative error = 2.5206562852926999522175435769942e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.66
y[1] (analytic) = 1234220753.2831129013427798461052
y[1] (numeric) = 1234220753.2830817908797852650579
absolute error = 3.11104629945810473e-05
relative error = 2.5206562855003900714057027014071e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.67
y[1] (analytic) = 1259153666.3882637574897188888806
y[1] (numeric) = 1259153666.3882320185536804011432
absolute error = 3.17389360384877374e-05
relative error = 2.5206562857039676515324533346708e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.68
y[1] (analytic) = 1284590257.7489093221227942296392
y[1] (numeric) = 1284590257.7488769420177141776025
absolute error = 3.23801050800520367e-05
relative error = 2.5206562859035141192258311178678e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.69
y[1] (analytic) = 1310540702.3407529270361202076461
y[1] (numeric) = 1310540702.3407198928095247680406
absolute error = 3.30342265954396055e-05
relative error = 2.5206562860991092991324221121134e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.7
y[1] (analytic) = 1337015380.6876418510082351940825
y[1] (numeric) = 1337015380.6876081494459932157471
absolute error = 3.37015622419783354e-05
relative error = 2.5206562862908314379595458744384e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.71
y[1] (analytic) = 1364024883.0139152675436830345226
y[1] (numeric) = 1364024883.0138808851647202097535
absolute error = 3.43823789628247691e-05
relative error = 2.5206562864787572232199385358203e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.72
y[1] (analytic) = 1391580013.480635185416323843683
y[1] (numeric) = 1391580013.4806001084672300987604
absolute error = 3.50769490937449226e-05
relative error = 2.5206562866629618359493677144839e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.73
y[1] (analytic) = 1419691794.5073949308744237971068
y[1] (numeric) = 1419691794.5073591453239517448845
absolute error = 3.57855504720522223e-05
relative error = 2.5206562868435189444920120054332e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.74
y[1] (analytic) = 1448371471.1814339525252873787664
y[1] (numeric) = 1448371471.1813974440587396326308
absolute error = 3.65084665477461356e-05
relative error = 2.5206562870205007834541607758986e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.75
y[1] (analytic) = 1477630515.755822653610367184173
y[1] (numeric) = 1477630515.7557854076238702882233
absolute error = 3.72459864968959497e-05
relative error = 2.5206562871939781550690238858049e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.76
y[1] (analytic) = 1507480632.2385165855803587695996
y[1] (numeric) = 1507480632.2384785871750214545449
absolute error = 3.79984053373150547e-05
relative error = 2.5206562873640204346693524965529e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.77
y[1] (analytic) = 1537933761.07411568583591567071
y[1] (numeric) = 1537933761.0740769198118690987065
absolute error = 3.87660240465720035e-05
relative error = 2.5206562875306956607561263110576e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.78
y[1] (analytic) = 1569002083.9202013257533696985065
y[1] (numeric) = 1569002083.9201617766036873129553
absolute error = 3.95491496823855512e-05
relative error = 2.5206562876940704879200272386598e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.79
y[1] (analytic) = 1600698028.5201617675000099070458
y[1] (numeric) = 1600698028.5201214194045044552081
absolute error = 4.03480955054518377e-05
relative error = 2.5206562878542102758495684411127e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.8
y[1] (analytic) = 1633034273.6744552247935187216466
y[1] (numeric) = 1633034273.6744140616124139688041
absolute error = 4.11631811047528425e-05
relative error = 2.5206562880111790811399729532514e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.81
y[1] (analytic) = 1666023754.3122990991142602652472
y[1] (numeric) = 1666023754.3122571043817348690082
absolute error = 4.19947325253962390e-05
relative error = 2.5206562881650396996856761997922e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.82
y[1] (analytic) = 1699679666.6658141346883305878217
y[1] (numeric) = 1699679666.665771291605931550037
absolute error = 4.28430823990377847e-05
relative error = 2.5206562883158536795416841441770e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.83
y[1] (analytic) = 1734015473.548693218892871606475
y[1] (numeric) = 1734015473.5486495103227946680564
absolute error = 4.37085700769384186e-05
relative error = 2.5206562884636813430328046317917e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.84
y[1] (analytic) = 1769044909.741506365986999990575
y[1] (numeric) = 1769044909.7414617744452342812846
absolute error = 4.45915417657092904e-05
relative error = 2.5206562886085818161282031402732e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.85
y[1] (analytic) = 1804781987.4857960779668672076133
y[1] (numeric) = 1804781987.4857505856162014085919
absolute error = 4.54923506657990214e-05
relative error = 2.5206562887506130683818892928578e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.86
y[1] (analytic) = 1841241002.0891607939447743002539
y[1] (numeric) = 1841241002.0891143825876615216609
absolute error = 4.64113571127785930e-05
relative error = 2.5206562888898319156704800642092e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.87
y[1] (analytic) = 1878436537.6435685361675354986001
y[1] (numeric) = 1878436537.6435211872388140182205
absolute error = 4.73489287214803796e-05
relative error = 2.5206562890262940418358438637039e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.88
y[1] (analytic) = 1916383472.85918815437769655639
y[1] (numeric) = 1916383472.8591398489371635074066
absolute error = 4.83054405330489834e-05
relative error = 2.5206562891600540348930956355907e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.89
y[1] (analytic) = 1955096987.0160717788008060229008
y[1] (numeric) = 1955096987.0160224975256410602078
absolute error = 4.92812751649626930e-05
relative error = 2.5206562892911654155629118536167e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.9
y[1] (analytic) = 1994592566.0360692340967584833378
y[1] (numeric) = 1994592566.0360189572737943977625
absolute error = 5.02768229640855753e-05
relative error = 2.5206562894196806046952121932675e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
bytes used=148065848, alloc=4586680, time=5.89
x[1] = 9.91
y[1] (analytic) = 2034886008.677403261000728616854
y[1] (numeric) = 2034886008.6773519685185658054265
absolute error = 5.12924821628114275e-05
relative error = 2.5206562895456510306889776357377e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.92
y[1] (analytic) = 2075993432.8543834583377900000478
y[1] (numeric) = 2075993432.8543311296787516380049
absolute error = 5.23286590383620429e-05
relative error = 2.5206562896691270707024033827888e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.93
y[1] (analytic) = 2117931282.0847869152520005763854
y[1] (numeric) = 2117931282.0847335294839252728677
absolute error = 5.33857680753035177e-05
relative error = 2.5206562897901581203323194778320e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.94
y[1] (analytic) = 2160716332.0674845718690677313096
y[1] (numeric) = 2160716332.067430107636936385706
absolute error = 5.44642321313456036e-05
relative error = 2.5206562899087925945507373798785e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.95
y[1] (analytic) = 2204365697.392944446639712212051
y[1] (numeric) = 2204365697.3928888821571057216209
absolute error = 5.55644826064904301e-05
relative error = 2.5206562900250779573563586463429e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.96
y[1] (analytic) = 2248896838.3892960211292375891602
y[1] (numeric) = 2248896838.3892393341696219909036
absolute error = 5.66869596155982566e-05
relative error = 2.5206562901390607031546186866689e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.97
y[1] (analytic) = 2294327568.1066942992892966382152
y[1] (numeric) = 2294327568.1066364671771321989288
absolute error = 5.78321121644392864e-05
relative error = 2.5206562902507864488871165474187e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.98
y[1] (analytic) = 2340676059.4427773799616591454664
y[1] (numeric) = 2340676059.4427183795633298435066
absolute error = 5.90003983293019598e-05
relative error = 2.5206562903602998709401467344562e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
TOP MAIN SOLVE Loop
x[1] = 9.99
y[1] (analytic) = 2387960852.4120678206503503683244
y[1] (numeric) = 2387960852.4120076283649101387459
absolute error = 6.01922854402295785e-05
relative error = 2.5206562904676447793702780050038e-12 %
Correct digits = 14
h = 0.01
NO INFO (given) for Equation 1
Radius of convergence (ratio test) for eq 1 = 9.5
Order of pole (ratio test) Not computed
NO REAL POLE (three term test) for Equation 1
NO COMPLEX POLE (six term test) for Equation 1
Finished!
diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ;
Iterations = 1000
Total Elapsed Time = 5 Seconds
Elapsed Time(since restart) = 5 Seconds
Time to Timeout = 2 Minutes 54 Seconds
Percent Done = 100.1 %
> quit
bytes used=149356324, alloc=4586680, time=5.94