(%i1) batch(diffeq.max) read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max (%i2) load(stringproc) (%o2) /usr/share/maxima/5.27.0/share/stringproc/stringproc.mac (%i3) display_poles() := block([rad_given], if glob_type_given_pole = 4 then (rad_given : sqrt(expt(array_given_rad_poles , 2.0) 1, 2 + expt(array_x - array_given_rad_poles , 2.0)), 1 1, 1 omniout_float(ALWAYS, "Radius of convergence (given) for eq 1 ", 4, rad_given, 4, " "), omniout_float(ALWAYS, "Order of pole (given) ", 4, array_given_ord_poles , 4, " ")) elseif glob_type_given_pole = 3 1, 1 then omniout_str(ALWAYS, "NO POLE (given) for Equation 1") else omniout_str(ALWAYS, "NO INFO (given) for Equation 1"), if array_poles # glob_large_float then (omniout_float(ALWAYS, 1, 1 "Radius of convergence (ratio test) for eq 1 ", 4, array_poles , 4, 1, 1 " "), omniout_str(ALWAYS, "Order of pole (ratio test) Not computed")) else omniout_str(ALWAYS, "NO POLE (ratio test) for Equation 1"), if (array_real_poles > 0.0) and (array_real_poles # glob_large_float) 1, 1 1, 1 then (omniout_float(ALWAYS, "Radius of convergence (three term test) for eq 1 ", 4, array_real_poles , 1, 1 4, " "), omniout_float(ALWAYS, "Order of pole (three term test) ", 4, array_real_poles , 1, 2 4, " ")) else omniout_str(ALWAYS, "NO REAL POLE (three term test) for Equation 1"), if (array_complex_poles > 0.0) and (array_complex_poles # 1, 1 1, 1 glob_large_float) then (omniout_float(ALWAYS, "Radius of convergence (six term test) for eq 1 ", 4, array_complex_poles , 4, " "), omniout_float(ALWAYS, 1, 1 "Order of pole (six term test) ", 4, array_complex_poles , 4, " ")) else omniout_str(ALWAYS, 1, 2 "NO COMPLEX POLE (six term test) for Equation 1")) (%o3) display_poles() := block([rad_given], if glob_type_given_pole = 4 then (rad_given : sqrt(expt(array_given_rad_poles , 2.0) 1, 2 + expt(array_x - array_given_rad_poles , 2.0)), 1 1, 1 omniout_float(ALWAYS, "Radius of convergence (given) for eq 1 ", 4, rad_given, 4, " "), omniout_float(ALWAYS, "Order of pole (given) ", 4, array_given_ord_poles , 4, " ")) elseif glob_type_given_pole = 3 1, 1 then omniout_str(ALWAYS, "NO POLE (given) for Equation 1") else omniout_str(ALWAYS, "NO INFO (given) for Equation 1"), if array_poles # glob_large_float then (omniout_float(ALWAYS, 1, 1 "Radius of convergence (ratio test) for eq 1 ", 4, array_poles , 4, 1, 1 " "), omniout_str(ALWAYS, "Order of pole (ratio test) Not computed")) else omniout_str(ALWAYS, "NO POLE (ratio test) for Equation 1"), if (array_real_poles > 0.0) and (array_real_poles # glob_large_float) 1, 1 1, 1 then (omniout_float(ALWAYS, "Radius of convergence (three term test) for eq 1 ", 4, array_real_poles , 1, 1 4, " "), omniout_float(ALWAYS, "Order of pole (three term test) ", 4, array_real_poles , 1, 2 4, " ")) else omniout_str(ALWAYS, "NO REAL POLE (three term test) for Equation 1"), if (array_complex_poles > 0.0) and (array_complex_poles # 1, 1 1, 1 glob_large_float) then (omniout_float(ALWAYS, "Radius of convergence (six term test) for eq 1 ", 4, array_complex_poles , 4, " "), omniout_float(ALWAYS, 1, 1 "Order of pole (six term test) ", 4, array_complex_poles , 4, " ")) else omniout_str(ALWAYS, 1, 2 "NO COMPLEX POLE (six term test) for Equation 1")) (%i4) check_sign(x0, xf) := block([ret], if xf > x0 then ret : 1.0 else ret : - 1.0, ret) (%o4) check_sign(x0, xf) := block([ret], if xf > x0 then ret : 1.0 else ret : - 1.0, ret) (%i5) est_size_answer() := block([min_size], min_size : glob_large_float, if omniabs(array_y ) < min_size then (min_size : omniabs(array_y ), 1 1 omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), if min_size < 1.0 then (min_size : 1.0, omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), min_size) (%o5) est_size_answer() := block([min_size], min_size : glob_large_float, if omniabs(array_y ) < min_size then (min_size : omniabs(array_y ), 1 1 omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), if min_size < 1.0 then (min_size : 1.0, omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), min_size) (%i6) test_suggested_h() := block([max_estimated_step_error, hn_div_ho, hn_div_ho_2, hn_div_ho_3, no_terms, est_tmp], max_estimated_step_error : 0.0, no_terms : glob_max_terms, hn_div_ho : 0.5, hn_div_ho_2 : 0.25, hn_div_ho_3 : 0.125, omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""), omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""), omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""), est_tmp : omniabs(array_y hn_div_ho_3 + array_y hn_div_ho_2 no_terms no_terms - 1 + array_y hn_div_ho + array_y ), no_terms - 2 no_terms - 3 if est_tmp >= max_estimated_step_error then max_estimated_step_error : est_tmp, omniout_float(ALWAYS, "max_estimated_step_error", 32, max_estimated_step_error, 32, ""), max_estimated_step_error) (%o6) test_suggested_h() := block([max_estimated_step_error, hn_div_ho, hn_div_ho_2, hn_div_ho_3, no_terms, est_tmp], max_estimated_step_error : 0.0, no_terms : glob_max_terms, hn_div_ho : 0.5, hn_div_ho_2 : 0.25, hn_div_ho_3 : 0.125, omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""), omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""), omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""), est_tmp : omniabs(array_y hn_div_ho_3 + array_y hn_div_ho_2 no_terms no_terms - 1 + array_y hn_div_ho + array_y ), no_terms - 2 no_terms - 3 if est_tmp >= max_estimated_step_error then max_estimated_step_error : est_tmp, omniout_float(ALWAYS, "max_estimated_step_error", 32, max_estimated_step_error, 32, ""), max_estimated_step_error) (%i7) reached_interval() := block([ret], if glob_check_sign array_x >= glob_check_sign glob_next_display 1 then ret : true else ret : false, return(ret)) (%o7) reached_interval() := block([ret], if glob_check_sign array_x >= glob_check_sign glob_next_display 1 then ret : true else ret : false, return(ret)) (%i8) display_alot(iter) := block([abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no], if reached_interval() then (if iter >= 0 then (ind_var : array_x , 1 omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "), analytic_val_y : exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "), term_no : 1, numeric_val : array_y , term_no abserr : omniabs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "), if omniabs(analytic_val_y) # 0.0 abserr 100.0 then (relerr : -----------------------, omniabs(analytic_val_y) if relerr > 1.0E-34 then glob_good_digits : 3 - floor(log10(relerr)) else glob_good_digits : 16) else (relerr : - 1.0, glob_good_digits : - 1), if glob_iter = 1 then array_1st_rel_error : relerr 1 else array_last_rel_error : relerr, omniout_float(ALWAYS, 1 "absolute error ", 4, abserr, 20, " "), omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"), omniout_int(INFO, "Correct digits ", 32, glob_good_digits, 4, " "), omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ")))) (%o8) display_alot(iter) := block([abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no], if reached_interval() then (if iter >= 0 then (ind_var : array_x , 1 omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "), analytic_val_y : exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "), term_no : 1, numeric_val : array_y , term_no abserr : omniabs(numeric_val - analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "), if omniabs(analytic_val_y) # 0.0 abserr 100.0 then (relerr : -----------------------, omniabs(analytic_val_y) if relerr > 1.0E-34 then glob_good_digits : 3 - floor(log10(relerr)) else glob_good_digits : 16) else (relerr : - 1.0, glob_good_digits : - 1), if glob_iter = 1 then array_1st_rel_error : relerr 1 else array_last_rel_error : relerr, omniout_float(ALWAYS, 1 "absolute error ", 4, abserr, 20, " "), omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"), omniout_int(INFO, "Correct digits ", 32, glob_good_digits, 4, " "), omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ")))) (%i9) adjust_for_pole(h_param) := (block([hnew, sz2, tmp], hnew : h_param, glob_normmax : glob_small_float, if omniabs(array_y_higher ) > 1, 1 glob_small_float then (tmp : omniabs(array_y_higher ), 1, 1 if tmp < glob_normmax then glob_normmax : tmp), if glob_look_poles and (omniabs(array_pole ) > glob_small_float) 1 array_pole 1 and (array_pole # glob_large_float) then (sz2 : -----------, 1 10.0 if sz2 < hnew then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), return(hnew))), if not glob_reached_optimal_h then (glob_reached_optimal_h : true, glob_curr_iter_when_opt : glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(), glob_optimal_start : array_x ), hnew : sz2), return(hnew)) 1 (%o9) adjust_for_pole(h_param) := (block([hnew, sz2, tmp], hnew : h_param, glob_normmax : glob_small_float, if omniabs(array_y_higher ) > 1, 1 glob_small_float then (tmp : omniabs(array_y_higher ), 1, 1 if tmp < glob_normmax then glob_normmax : tmp), if glob_look_poles and (omniabs(array_pole ) > glob_small_float) 1 array_pole 1 and (array_pole # glob_large_float) then (sz2 : -----------, 1 10.0 if sz2 < hnew then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."), omniout_str(INFO, "Reached Optimal"), return(hnew))), if not glob_reached_optimal_h then (glob_reached_optimal_h : true, glob_curr_iter_when_opt : glob_current_iter, glob_optimal_clock_start_sec : elapsed_time_seconds(), glob_optimal_start : array_x ), hnew : sz2), return(hnew)) 1 (%i10) prog_report(x_start, x_end) := block([clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec], clock_sec1 : elapsed_time_seconds(), total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec), glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec), left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec) + convfloat(glob_max_sec), expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(clock_sec1) - convfloat(glob_orig_start_sec)), opt_clock_sec : convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec), glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(opt_clock_sec)), glob_total_exp_sec : total_clock_sec + glob_optimal_expect_sec, percent_done : comp_percent(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done, 1 omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(convfloat(total_clock_sec)), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(convfloat(glob_clock_sec)), if convfloat(percent_done) < convfloat(100.0) then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(convfloat(expect_sec)), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(convfloat(glob_optimal_expect_sec)), omniout_str_noeol(INFO, "Expected Total Time "), omniout_timestr(convfloat(glob_total_exp_sec))), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%o10) prog_report(x_start, x_end) := block([clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec], clock_sec1 : elapsed_time_seconds(), total_clock_sec : convfloat(clock_sec1) - convfloat(glob_orig_start_sec), glob_clock_sec : convfloat(clock_sec1) - convfloat(glob_clock_start_sec), left_sec : - convfloat(clock_sec1) + convfloat(glob_orig_start_sec) + convfloat(glob_max_sec), expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(clock_sec1) - convfloat(glob_orig_start_sec)), opt_clock_sec : convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec), glob_optimal_expect_sec : comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x ), 1 convfloat(opt_clock_sec)), glob_total_exp_sec : total_clock_sec + glob_optimal_expect_sec, percent_done : comp_percent(convfloat(x_end), convfloat(x_start), convfloat(glob_h) + convfloat(array_x )), glob_percent_done : percent_done, 1 omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(convfloat(total_clock_sec)), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(convfloat(glob_clock_sec)), if convfloat(percent_done) < convfloat(100.0) then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(convfloat(expect_sec)), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(convfloat(glob_optimal_expect_sec)), omniout_str_noeol(INFO, "Expected Total Time "), omniout_timestr(convfloat(glob_total_exp_sec))), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(convfloat(left_sec)), omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%")) (%i11) check_for_pole() := block([cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term, local_test, tmp_rad, tmp_ratio, prev_tmp_rad], array_pole : glob_large_float, array_pole : glob_large_float, 1 2 tmp_rad : glob_large_float, prev_tmp_rad : glob_large_float, tmp_ratio : glob_large_float, rad_c : glob_large_float, array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found_sing : 1, n : - 10 - 1 + glob_max_terms, cnt : 0, while (cnt < 5) and (found_sing = 1) do (if (omniabs(array_y_higher ) = 1, n 0.0) or (omniabs(array_y_higher ) = 0.0) then found_sing : 0 1, 1 + n array_y_higher glob_h 1, n tmp_rad else (tmp_rad : omniabs(-------------------------), tmp_ratio : ------------, array_y_higher prev_tmp_rad 1, 1 + n if (cnt > 0) and (tmp_ratio < 2.0) and (tmp_ratio > 0.5) then (if tmp_rad < rad_c then rad_c : tmp_rad) elseif cnt = 0 then (if tmp_rad < rad_c then rad_c : tmp_rad) elseif cnt > 0 then found_sing : 0), prev_tmp_rad : tmp_rad, cnt : 1 + cnt, n : 1 + n), if found_sing = 1 then (if rad_c < array_pole 1 then (array_pole : rad_c, array_poles : rad_c)), n : glob_max_terms, 1 1, 1 m : - 1 - 1 + n, while (m >= 10) and ((omniabs(array_y_higher ) = 0.0) 1, m or (omniabs(array_y_higher ) = 0.0) 1, m - 1 or (omniabs(array_y_higher ) = 0.0)) do m : m - 1, 1, m - 2 array_y_higher array_y_higher 1, m 1, m - 1 if m > 10 then (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 hdrc : convfloat(m) rm0 - convfloat(m - 1) rm1, glob_h if omniabs(hdrc) > 0.0 then (rcs : ------, hdrc rm1 convfloat((m - 2) (m - 2)) - rm0 convfloat(m - 3) ord_no : -----------------------------------------------------, hdrc array_real_poles : rcs, array_real_poles : ord_no) 1, 1 1, 2 else (array_real_poles : glob_large_float, 1, 1 array_real_poles : glob_large_float)) 1, 2 else (array_real_poles : glob_large_float, 1, 1 array_real_poles : glob_large_float), n : - 1 - 1 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if omniabs(array_y_higher ) # 1, n 0.0 then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n, if m <= 10 then (rad_c : glob_large_float, ord_no : glob_large_float) array_y_higher array_y_higher 1, m 1, m - 1 else (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 array_y_higher array_y_higher 1, m - 2 1, m - 3 rm2 : ----------------------, rm3 : ----------------------, array_y_higher array_y_higher 1, m - 3 1, m - 4 array_y_higher 1, m - 4 rm4 : ----------------------, nr1 : convfloat(m - 3) rm2 array_y_higher 1, m - 5 - 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0, nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (omniabs(nr1 dr2 - nr2 dr1) = 0.0) rm4 rm3 rm2 or (omniabs(dr1) = 0.0) then (rad_c : glob_large_float, ord_no : glob_large_float) else (if omniabs(nr1 dr2 - nr2 dr1) # 0.0 dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if omniabs(rcs) # 0.0 then (if rcs > 0.0 then rad_c : sqrt(rcs) omniabs(glob_h) else rad_c : glob_large_float) else (rad_c : glob_large_float, ord_no : glob_large_float)) else (rad_c : glob_large_float, ord_no : glob_large_float)), array_complex_poles : rad_c, 1, 1 array_complex_poles : ord_no), if array_pole glob_ratio_of_radius < 1, 2 1 omniabs(glob_h) then (h_new : array_pole glob_ratio_of_radius, term : 1, 1 ratio : 1.0, while term <= glob_max_terms do (array_y : term array_y ratio, array_y_higher : array_y_higher ratio, term 1, term 1, term ratio h_new array_x : array_x ratio, ratio : ---------------, term : 1 + term), term term omniabs(glob_h) glob_h : h_new), if reached_interval() then display_poles()) (%o11) check_for_pole() := block([cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term, local_test, tmp_rad, tmp_ratio, prev_tmp_rad], array_pole : glob_large_float, array_pole : glob_large_float, 1 2 tmp_rad : glob_large_float, prev_tmp_rad : glob_large_float, tmp_ratio : glob_large_float, rad_c : glob_large_float, array_poles : glob_large_float, array_poles : glob_large_float, 1, 1 1, 2 found_sing : 1, n : - 10 - 1 + glob_max_terms, cnt : 0, while (cnt < 5) and (found_sing = 1) do (if (omniabs(array_y_higher ) = 1, n 0.0) or (omniabs(array_y_higher ) = 0.0) then found_sing : 0 1, 1 + n array_y_higher glob_h 1, n tmp_rad else (tmp_rad : omniabs(-------------------------), tmp_ratio : ------------, array_y_higher prev_tmp_rad 1, 1 + n if (cnt > 0) and (tmp_ratio < 2.0) and (tmp_ratio > 0.5) then (if tmp_rad < rad_c then rad_c : tmp_rad) elseif cnt = 0 then (if tmp_rad < rad_c then rad_c : tmp_rad) elseif cnt > 0 then found_sing : 0), prev_tmp_rad : tmp_rad, cnt : 1 + cnt, n : 1 + n), if found_sing = 1 then (if rad_c < array_pole 1 then (array_pole : rad_c, array_poles : rad_c)), n : glob_max_terms, 1 1, 1 m : - 1 - 1 + n, while (m >= 10) and ((omniabs(array_y_higher ) = 0.0) 1, m or (omniabs(array_y_higher ) = 0.0) 1, m - 1 or (omniabs(array_y_higher ) = 0.0)) do m : m - 1, 1, m - 2 array_y_higher array_y_higher 1, m 1, m - 1 if m > 10 then (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 hdrc : convfloat(m) rm0 - convfloat(m - 1) rm1, glob_h if omniabs(hdrc) > 0.0 then (rcs : ------, hdrc rm1 convfloat((m - 2) (m - 2)) - rm0 convfloat(m - 3) ord_no : -----------------------------------------------------, hdrc array_real_poles : rcs, array_real_poles : ord_no) 1, 1 1, 2 else (array_real_poles : glob_large_float, 1, 1 array_real_poles : glob_large_float)) 1, 2 else (array_real_poles : glob_large_float, 1, 1 array_real_poles : glob_large_float), n : - 1 - 1 + glob_max_terms, 1, 2 cnt : 0, while (cnt < 5) and (n >= 10) do (if omniabs(array_y_higher ) # 1, n 0.0 then cnt : 1 + cnt else cnt : 0, n : n - 1), m : cnt + n, if m <= 10 then (rad_c : glob_large_float, ord_no : glob_large_float) array_y_higher array_y_higher 1, m 1, m - 1 else (rm0 : ----------------------, rm1 : ----------------------, array_y_higher array_y_higher 1, m - 1 1, m - 2 array_y_higher array_y_higher 1, m - 2 1, m - 3 rm2 : ----------------------, rm3 : ----------------------, array_y_higher array_y_higher 1, m - 3 1, m - 4 array_y_higher 1, m - 4 rm4 : ----------------------, nr1 : convfloat(m - 3) rm2 array_y_higher 1, m - 5 - 2.0 convfloat(m - 2) rm1 + convfloat(m - 1) rm0, nr2 : convfloat(m - 4) rm3 - 2.0 convfloat(m - 3) rm2 + convfloat(m - 2) rm1, - 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0 dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---, rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1 5.0 8.0 3.0 ds2 : --- - --- + ---, if (omniabs(nr1 dr2 - nr2 dr1) = 0.0) rm4 rm3 rm2 or (omniabs(dr1) = 0.0) then (rad_c : glob_large_float, ord_no : glob_large_float) else (if omniabs(nr1 dr2 - nr2 dr1) # 0.0 dr1 dr2 - ds2 dr1 + ds1 dr2 then (rcs : ---------------------------, nr1 dr2 - nr2 dr1 rcs nr1 - ds1 convfloat(m) ord_no : ------------- - ------------, 2.0 dr1 2.0 if omniabs(rcs) # 0.0 then (if rcs > 0.0 then rad_c : sqrt(rcs) omniabs(glob_h) else rad_c : glob_large_float) else (rad_c : glob_large_float, ord_no : glob_large_float)) else (rad_c : glob_large_float, ord_no : glob_large_float)), array_complex_poles : rad_c, 1, 1 array_complex_poles : ord_no), if array_pole glob_ratio_of_radius < 1, 2 1 omniabs(glob_h) then (h_new : array_pole glob_ratio_of_radius, term : 1, 1 ratio : 1.0, while term <= glob_max_terms do (array_y : term array_y ratio, array_y_higher : array_y_higher ratio, term 1, term 1, term ratio h_new array_x : array_x ratio, ratio : ---------------, term : 1 + term), term term omniabs(glob_h) glob_h : h_new), if reached_interval() then display_poles()) (%i12) get_norms() := block([iii], if not glob_initial_pass then (iii : 1, while iii <= glob_max_terms do (array_norms : 0.0, iii iii : 1 + iii), iii : 1, while iii <= glob_max_terms do (if omniabs(array_y ) > array_norms iii iii then array_norms : omniabs(array_y ), iii : 1 + iii))) iii iii (%o12) get_norms() := block([iii], if not glob_initial_pass then (iii : 1, while iii <= glob_max_terms do (array_norms : 0.0, iii iii : 1 + iii), iii : 1, while iii <= glob_max_terms do (if omniabs(array_y ) > array_norms iii iii then array_norms : omniabs(array_y ), iii : 1 + iii))) iii iii (%i13) atomall() := block([kkk, order_d, adj2, adj3, temporary, term, temp, temp2], array_tmp1 : array_y + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 then (temporary : array_tmp1 expt(glob_h, 1) factorial_3(0, 1), 1 array_y : temporary, array_y_higher : temporary, 2 1, 2 temporary 1.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 2, glob_h 2, 1 array_tmp1 : array_y , if not array_y_set_initial 2 2 1, 3 then (if 2 <= glob_max_terms then (temporary : array_tmp1 expt(glob_h, 1) factorial_3(1, 2), array_y : temporary, 2 3 temporary 2.0 array_y_higher : temporary, temporary : -------------, 1, 3 glob_h array_y_higher : temporary, 0)), kkk : 3, array_tmp1 : array_y , 2, 2 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 4 then (temporary : array_tmp1 expt(glob_h, 1) factorial_3(2, 3), 3 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 3.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 4, glob_h 2, 3 array_tmp1 : array_y , if not array_y_set_initial 4 4 1, 5 then (if 4 <= glob_max_terms then (temporary : array_tmp1 expt(glob_h, 1) factorial_3(3, 4), array_y : temporary, 4 5 temporary 4.0 array_y_higher : temporary, temporary : -------------, 1, 5 glob_h array_y_higher : temporary, 0)), kkk : 5, array_tmp1 : array_y , 2, 4 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 6 then (temporary : array_tmp1 expt(glob_h, 1) factorial_3(4, 5), 5 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 5.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 6, glob_h 2, 5 while kkk <= glob_max_terms do (array_tmp1 : array_y , order_d : 1, kkk kkk if order_d + kkk < glob_max_terms then (if not array_y_set_initial 1, order_d + kkk then (temporary : array_tmp1 expt(glob_h, order_d) kkk factorial_3(kkk - 1, - 1 + order_d + kkk), array_y : temporary, order_d + kkk array_y_higher : temporary, term : - 1 + order_d + kkk, 1, order_d + kkk adj2 : - 1 + order_d + kkk, adj3 : 2, while term >= 1 do (if adj3 <= 1 + order_d then (if adj2 > 0 temporary convfp(adj2) then temporary : ---------------------- else temporary : temporary, glob_h array_y_higher : temporary), term : term - 1, adj2 : adj2 - 1, adj3, term adj3 : 1 + adj3))), kkk : 1 + kkk)) (%o13) atomall() := block([kkk, order_d, adj2, adj3, temporary, term, temp, temp2], array_tmp1 : array_y + array_const_0D0 , 1 1 1 if not array_y_set_initial then (if 1 <= glob_max_terms 1, 2 then (temporary : array_tmp1 expt(glob_h, 1) factorial_3(0, 1), 1 array_y : temporary, array_y_higher : temporary, 2 1, 2 temporary 1.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 2, glob_h 2, 1 array_tmp1 : array_y , if not array_y_set_initial 2 2 1, 3 then (if 2 <= glob_max_terms then (temporary : array_tmp1 expt(glob_h, 1) factorial_3(1, 2), array_y : temporary, 2 3 temporary 2.0 array_y_higher : temporary, temporary : -------------, 1, 3 glob_h array_y_higher : temporary, 0)), kkk : 3, array_tmp1 : array_y , 2, 2 3 3 if not array_y_set_initial then (if 3 <= glob_max_terms 1, 4 then (temporary : array_tmp1 expt(glob_h, 1) factorial_3(2, 3), 3 array_y : temporary, array_y_higher : temporary, 4 1, 4 temporary 3.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 4, glob_h 2, 3 array_tmp1 : array_y , if not array_y_set_initial 4 4 1, 5 then (if 4 <= glob_max_terms then (temporary : array_tmp1 expt(glob_h, 1) factorial_3(3, 4), array_y : temporary, 4 5 temporary 4.0 array_y_higher : temporary, temporary : -------------, 1, 5 glob_h array_y_higher : temporary, 0)), kkk : 5, array_tmp1 : array_y , 2, 4 5 5 if not array_y_set_initial then (if 5 <= glob_max_terms 1, 6 then (temporary : array_tmp1 expt(glob_h, 1) factorial_3(4, 5), 5 array_y : temporary, array_y_higher : temporary, 6 1, 6 temporary 5.0 temporary : -------------, array_y_higher : temporary, 0)), kkk : 6, glob_h 2, 5 while kkk <= glob_max_terms do (array_tmp1 : array_y , order_d : 1, kkk kkk if order_d + kkk < glob_max_terms then (if not array_y_set_initial 1, order_d + kkk then (temporary : array_tmp1 expt(glob_h, order_d) kkk factorial_3(kkk - 1, - 1 + order_d + kkk), array_y : temporary, order_d + kkk array_y_higher : temporary, term : - 1 + order_d + kkk, 1, order_d + kkk adj2 : - 1 + order_d + kkk, adj3 : 2, while term >= 1 do (if adj3 <= 1 + order_d then (if adj2 > 0 temporary convfp(adj2) then temporary : ---------------------- else temporary : temporary, glob_h array_y_higher : temporary), term : term - 1, adj2 : adj2 - 1, adj3, term adj3 : 1 + adj3))), kkk : 1 + kkk)) log(x) (%i14) log10(x) := --------- log(10.0) log(x) (%o14) log10(x) := --------- log(10.0) (%i15) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%o15) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%i16) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%o16) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%i17) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%o17) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%i18) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (if vallen = 4 then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel) else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)) (%o18) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (if vallen = 4 then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel) else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)) (%i19) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%o19) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%i20) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%o20) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%i21) dump_series(iolevel, dump_label, series_name, arr_series, numb) := block([i], if glob_iolevel >= iolevel then (i : 1, while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ", array_series ), newline(), i : 1 + i))) i (%o21) dump_series(iolevel, dump_label, series_name, arr_series, numb) := block([i], if glob_iolevel >= iolevel then (i : 1, while i <= numb do (sprint(dump_label, series_name, "i = ", i, "series = ", array_series ), newline(), i : 1 + i))) i (%i22) dump_series_2(iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x) := (array_series2, numb, subnum) := block([i, sub, ts_term], if glob_iolevel >= iolevel then (sub : 1, while sub <= subnum do (i : 1, while i <= num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i, "series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub))) sub, i (%o22) dump_series_2(iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x) := (array_series2, numb, subnum) := block([i, sub, ts_term], if glob_iolevel >= iolevel then (sub : 1, while sub <= subnum do (i : 1, while i <= num do (sprint(dump_label, series_name, "sub = ", sub, "i = ", i, "series2 = ", array_series2 ), i : 1 + i), sub : 1 + sub))) sub, i (%i23) cs_info(iolevel, str) := if glob_iolevel >= iolevel then sprint(concat("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h)) (%o23) cs_info(iolevel, str) := if glob_iolevel >= iolevel then sprint(concat("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h)) (%i24) logitem_time(fd, secs_in) := block([days, days_int, hours, hours_int, minutes, minutes_int, sec_int, seconds, secs, years, years_int], secs : convfloat(secs_in), printf(fd, "~%"), secs if secs >= 0 then (years_int : trunc(----------------), glob_sec_in_year sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)), sec_temp days_int : trunc(---------------), sec_temp : glob_sec_in_day sec_temp mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------), glob_sec_in_hour sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)), sec_temp minutes_int : trunc(------------------), glob_sec_in_minute sec_int : mod(sec_temp, trunc(glob_sec_in_minute)), if years_int > 0 then printf(fd, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(fd, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(fd, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(fd, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(fd, "= ~d Seconds~%", sec_int)) else printf(fd, " Unknown~%"), printf(fd, "~%")) (%o24) logitem_time(fd, secs_in) := block([days, days_int, hours, hours_int, minutes, minutes_int, sec_int, seconds, secs, years, years_int], secs : convfloat(secs_in), printf(fd, "~%"), secs if secs >= 0 then (years_int : trunc(----------------), glob_sec_in_year sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)), sec_temp days_int : trunc(---------------), sec_temp : glob_sec_in_day sec_temp mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------), glob_sec_in_hour sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)), sec_temp minutes_int : trunc(------------------), glob_sec_in_minute sec_int : mod(sec_temp, trunc(glob_sec_in_minute)), if years_int > 0 then printf(fd, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(fd, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(fd, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(fd, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(fd, "= ~d Seconds~%", sec_int)) else printf(fd, " Unknown~%"), printf(fd, "~%")) (%i25) omniout_timestr(secs_in) := block([days, days_int, hours, hours_int, minutes, minutes_int, sec_int, seconds, secs, years, years_int], secs : convfloat(secs_in), if secs >= 0 secs then (years_int : trunc(----------------), glob_sec_in_year sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)), sec_temp days_int : trunc(---------------), sec_temp : glob_sec_in_day sec_temp mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------), glob_sec_in_hour sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)), sec_temp minutes_int : trunc(------------------), glob_sec_in_minute sec_int : mod(sec_temp, trunc(glob_sec_in_minute)), if years_int > 0 then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%")) (%o25) omniout_timestr(secs_in) := block([days, days_int, hours, hours_int, minutes, minutes_int, sec_int, seconds, secs, years, years_int], secs : convfloat(secs_in), if secs >= 0 secs then (years_int : trunc(----------------), glob_sec_in_year sec_temp : mod(trunc(secs), trunc(glob_sec_in_year)), sec_temp days_int : trunc(---------------), sec_temp : glob_sec_in_day sec_temp mod(sec_temp, trunc(glob_sec_in_day)), hours_int : trunc(----------------), glob_sec_in_hour sec_temp : mod(sec_temp, trunc(glob_sec_in_hour)), sec_temp minutes_int : trunc(------------------), glob_sec_in_minute sec_int : mod(sec_temp, trunc(glob_sec_in_minute)), if years_int > 0 then printf(true, "= ~d Years ~d Days ~d Hours ~d Minutes ~d Seconds~%", years_int, days_int, hours_int, minutes_int, sec_int) elseif days_int > 0 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int, hours_int, minutes_int, sec_int) elseif hours_int > 0 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int, sec_int) elseif minutes_int > 0 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int) else printf(true, "= ~d Seconds~%", sec_int)) else printf(true, " Unknown~%")) (%i26) ats(mmm_ats, arr_a, arr_b, jjj_ats) := block([iii_ats, lll_ats, ma_ats, ret_ats], ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats, ret_ats : arr_a arr_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%o26) ats(mmm_ats, arr_a, arr_b, jjj_ats) := block([iii_ats, lll_ats, ma_ats, ret_ats], ret_ats : 0.0, if jjj_ats <= mmm_ats then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats, while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats, ret_ats : arr_a arr_b + ret_ats, iii_ats : 1 + iii_ats)), iii_ats lll_ats ret_ats) (%i27) att(mmm_att, arr_aa, arr_bb, jjj_att) := block([al_att, iii_att, lll_att, ma_att, ret_att], ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att, iii_att : jjj_att, while iii_att <= mmm_att do (lll_att : ma_att - iii_att, al_att : lll_att - 1, if lll_att <= glob_max_terms then ret_att : arr_aa arr_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%o27) att(mmm_att, arr_aa, arr_bb, jjj_att) := block([al_att, iii_att, lll_att, ma_att, ret_att], ret_att : 0.0, if jjj_att <= mmm_att then (ma_att : 2 + mmm_att, iii_att : jjj_att, while iii_att <= mmm_att do (lll_att : ma_att - iii_att, al_att : lll_att - 1, if lll_att <= glob_max_terms then ret_att : arr_aa arr_bb convfp(al_att) + ret_att, iii_att lll_att ret_att iii_att : 1 + iii_att), ret_att : ---------------), ret_att) convfp(mmm_att) (%i28) display_pole_debug(typ, m, radius, order2) := (if typ = 1 then omniout_str(ALWAYS, "Real") else omniout_str(ALWAYS, "Complex"), omniout_int(ALWAYS, "m", 4, m, 4, " "), omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4, " "), omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4, " ")) (%o28) display_pole_debug(typ, m, radius, order2) := (if typ = 1 then omniout_str(ALWAYS, "Real") else omniout_str(ALWAYS, "Complex"), omniout_int(ALWAYS, "m", 4, m, 4, " "), omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4, " "), omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4, " ")) (%i29) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%o29) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, "")) (%i30) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%o30) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, "")) (%i31) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%o31) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, "")) (%i32) logitem_good_digits(file, rel_error) := block([good_digits], printf(file, ""), if rel_error # - 1.0 then (if rel_error > + 1.0E-34 then (good_digits : 1 - floor(log10(rel_error)), printf(file, "~d", good_digits)) else (good_digits : 16, printf(file, "~d", good_digits))) else printf(file, "Unknown"), printf(file, "")) (%o32) logitem_good_digits(file, rel_error) := block([good_digits], printf(file, ""), if rel_error # - 1.0 then (if rel_error > + 1.0E-34 then (good_digits : 1 - floor(log10(rel_error)), printf(file, "~d", good_digits)) else (good_digits : 16, printf(file, "~d", good_digits))) else printf(file, "Unknown"), printf(file, "")) (%i33) log_revs(file, revs) := printf(file, revs) (%o33) log_revs(file, revs) := printf(file, revs) (%i34) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%o34) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, "")) (%i35) logitem_pole(file, pole) := (printf(file, ""), if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real") elseif pole = 2 then printf(file, "Complex") elseif pole = 4 then printf(file, "Yes") else printf(file, "No"), printf(file, "")) (%o35) logitem_pole(file, pole) := (printf(file, ""), if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real") elseif pole = 2 then printf(file, "Complex") elseif pole = 4 then printf(file, "Yes") else printf(file, "No"), printf(file, "")) (%i36) logstart(file) := printf(file, "") (%o36) logstart(file) := printf(file, "") (%i37) logend(file) := printf(file, "~%") (%o37) logend(file) := printf(file, "~%") (%i38) chk_data() := block([errflag], errflag : false, if (glob_max_terms < 15) or (glob_max_terms > 512) then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"), glob_max_terms : 30), if glob_max_iter < 2 then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true), if errflag then quit()) (%o38) chk_data() := block([errflag], errflag : false, if (glob_max_terms < 15) or (glob_max_terms > 512) then (omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"), glob_max_terms : 30), if glob_max_iter < 2 then (omniout_str(ALWAYS, "Illegal max_iter"), errflag : true), if errflag then quit()) (%i39) comp_expect_sec(t_end2, t_start2, t2, clock_sec2) := block([ms2, rrr, sec_left, sub1, sub2], ms2 : clock_sec2, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if sub2 > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%o39) comp_expect_sec(t_end2, t_start2, t2, clock_sec2) := block([ms2, rrr, sec_left, sub1, sub2], ms2 : clock_sec2, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, if sub1 = 0.0 then sec_left : 0.0 else (if sub2 > 0.0 sub1 then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left) sub2 (%i40) comp_percent(t_end2, t_start2, t2) := block([rrr, sub1, sub2], sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if sub2 > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%o40) comp_percent(t_end2, t_start2, t2) := block([rrr, sub1, sub2], sub1 : t_end2 - t_start2, sub2 : t2 - t_start2, 100.0 sub2 if sub2 > glob_small_float then rrr : ---------- else rrr : 0.0, rrr) sub1 (%i41) factorial_2(nnn) := nnn! (%o41) factorial_2(nnn) := nnn! (%i42) factorial_1(nnn) := block([ret], if nnn <= glob_max_terms then (if array_fact_1 = 0 nnn then (ret : factorial_2(nnn), array_fact_1 : ret) nnn else ret : array_fact_1 ) else ret : factorial_2(nnn), ret) nnn (%o42) factorial_1(nnn) := block([ret], if nnn <= glob_max_terms then (if array_fact_1 = 0 nnn then (ret : factorial_2(nnn), array_fact_1 : ret) nnn else ret : array_fact_1 ) else ret : factorial_2(nnn), ret) nnn (%i43) factorial_3(mmm, nnn) := block([ret], if (nnn <= glob_max_terms) and (mmm <= glob_max_terms) factorial_1(mmm) then (if array_fact_2 = 0 then (ret : ----------------, mmm, nnn factorial_1(nnn) array_fact_2 : ret) else ret : array_fact_2 ) mmm, nnn mmm, nnn factorial_2(mmm) else ret : ----------------, ret) factorial_2(nnn) (%o43) factorial_3(mmm, nnn) := block([ret], if (nnn <= glob_max_terms) and (mmm <= glob_max_terms) factorial_1(mmm) then (if array_fact_2 = 0 then (ret : ----------------, mmm, nnn factorial_1(nnn) array_fact_2 : ret) else ret : array_fact_2 ) mmm, nnn mmm, nnn factorial_2(mmm) else ret : ----------------, ret) factorial_2(nnn) (%i44) convfp(mmm) := mmm (%o44) convfp(mmm) := mmm (%i45) convfloat(mmm) := mmm (%o45) convfloat(mmm) := mmm (%i46) elapsed_time_seconds() := block([t], t : elapsed_real_time(), t) (%o46) elapsed_time_seconds() := block([t], t : elapsed_real_time(), t) (%i47) Si(x) := 0.0 (%o47) Si(x) := 0.0 (%i48) Ci(x) := 0.0 (%o48) Ci(x) := 0.0 (%i49) ln(x) := log(x) (%o49) ln(x) := log(x) (%i50) arcsin(x) := asin(x) (%o50) arcsin(x) := asin(x) (%i51) arccos(x) := acos(x) (%o51) arccos(x) := acos(x) (%i52) arctan(x) := atan(x) (%o52) arctan(x) := atan(x) (%i53) omniabs(x) := abs(x) (%o53) omniabs(x) := abs(x) (%i54) expt(x, y) := (if (x <= 0.0) and (y < 0.0) y then print("expt error x = ", x, "y = ", y), x ) (%o54) expt(x, y) := (if (x <= 0.0) and (y < 0.0) y then print("expt error x = ", x, "y = ", y), x ) (%i55) estimated_needed_step_error(x_start, x_end, estimated_h, estimated_answer) := block([desired_abs_gbl_error, range, estimated_steps, step_error], omniout_float(ALWAYS, "glob_desired_digits_correct", 32, glob_desired_digits_correct, 32, ""), desired_abs_gbl_error : expt(10.0, - glob_desired_digits_correct) omniabs(estimated_answer), omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32, ""), range : x_end - x_start, omniout_float(ALWAYS, "range", 32, range, 32, range ""), estimated_steps : -----------, omniout_float(ALWAYS, "estimated_steps", estimated_h desired_abs_gbl_error 32, estimated_steps, 32, ""), step_error : omniabs(---------------------), estimated_steps omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""), step_error) (%o55) estimated_needed_step_error(x_start, x_end, estimated_h, estimated_answer) := block([desired_abs_gbl_error, range, estimated_steps, step_error], omniout_float(ALWAYS, "glob_desired_digits_correct", 32, glob_desired_digits_correct, 32, ""), desired_abs_gbl_error : expt(10.0, - glob_desired_digits_correct) omniabs(estimated_answer), omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32, ""), range : x_end - x_start, omniout_float(ALWAYS, "range", 32, range, 32, range ""), estimated_steps : -----------, omniout_float(ALWAYS, "estimated_steps", estimated_h desired_abs_gbl_error 32, estimated_steps, 32, ""), step_error : omniabs(---------------------), estimated_steps omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""), step_error) (%i56) exact_soln_y(x) := block(exp(x)) (%o56) exact_soln_y(x) := block(exp(x)) (%i57) main() := block([d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, max_terms, opt_iter, tmp, subiter, est_needed_step_err, estimated_step_error, min_value, est_answer, best_h, found_h, repeat_it], define_variable(glob_max_terms, 30, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(glob_yes_pole, 4, fixnum), define_variable(glob_no_pole, 3, fixnum), define_variable(glob_not_given, 0, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(INFO, 2, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_check_sign, 1.0, float), define_variable(glob_desired_digits_correct, 8.0, float), define_variable(glob_max_estimated_step_error, 0.0, float), define_variable(glob_ratio_of_radius, 0.1, float), define_variable(glob_percent_done, 0.0, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_total_exp_sec, 0.1, float), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_html_log, true, boolean), define_variable(glob_good_digits, 0, fixnum), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_dump, false, boolean), define_variable(glob_djd_debug, true, boolean), define_variable(glob_display_flag, true, boolean), define_variable(glob_djd_debug2, true, boolean), define_variable(glob_sec_in_minute, 60, fixnum), define_variable(glob_min_in_hour, 60, fixnum), define_variable(glob_hours_in_day, 24, fixnum), define_variable(glob_days_in_year, 365, fixnum), define_variable(glob_sec_in_hour, 3600, fixnum), define_variable(glob_sec_in_day, 86400, fixnum), define_variable(glob_sec_in_year, 31536000, fixnum), define_variable(glob_almost_1, 0.999, float), define_variable(glob_clock_sec, 0.0, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_initial_pass, true, boolean), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_optimal_done, false, boolean), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_h, 0.1, float), define_variable(glob_max_h, 0.1, float), define_variable(glob_min_h, 1.0E-6, float), define_variable(glob_type_given_pole, 0, fixnum), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_look_poles, false, boolean), define_variable(glob_neg_h, false, boolean), define_variable(glob_display_interval, 0.0, float), define_variable(glob_next_display, 0.0, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_max_hours, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_small_float, 0.0, float), define_variable(glob_smallish_float, 0.0, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_warned, false, boolean), define_variable(glob_warned2, false, boolean), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_iter, 0, fixnum), define_variable(glob_normmax, 0.0, float), define_variable(glob_max_minutes, 0.0, float), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/diff0postode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = y;"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits:32,"), omniout_str(ALWAYS, "max_terms:30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start:-5.0,"), omniout_str(ALWAYS, "x_end:5.0,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_look_poles:false,"), omniout_str(ALWAYS, "glob_max_iter:1000000,"), omniout_str(ALWAYS, "glob_display_interval:0.1,"), omniout_str(ALWAYS, "glob_max_minutes:10,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_desired_digits_correct:10,"), omniout_str(ALWAYS, "glob_display_interval:0.01,"), omniout_str(ALWAYS, "glob_look_poles:true,"), omniout_str(ALWAYS, "glob_max_iter:10000000,"), omniout_str(ALWAYS, "glob_max_minutes:3,"), omniout_str(ALWAYS, "glob_subiter_method:3,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := (block("), omniout_str(ALWAYS, " (exp(x)) "), omniout_str(ALWAYS, "));"), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 0.0, glob_smallish_float : 0.0, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, Digits : 32, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_y_init, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_fact_1, 1 + max_terms), array(array_pole, 1 + 4), array(array_real_pole, 1 + 4), array(array_complex_pole, 1 + 4), array(array_1st_rel_error, 1 + 2), array(array_last_rel_error, 1 + 2), array(array_type_pole, 1 + 2), array(array_type_real_pole, 1 + 2), array(array_type_complex_pole, 1 + 2), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_y_higher_work, 1 + 2, 1 + max_terms), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_poles, 1 + 2, 1 + 3), array(array_given_rad_poles, 1 + 2, 1 + 3), array(array_given_ord_poles, 1 + 2, 1 + 3), array(array_real_poles, 1 + 2, 1 + 3), array(array_complex_poles, 1 + 2, 1 + 3), array(array_fact_2, 1 + max_terms, 1 + max_terms), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_norms : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_fact_1 : 0.0, term : 1 + term), term : 1, term while term <= 4 do (array_pole : 0.0, term : 1 + term), term : 1, term while term <= 4 do (array_real_pole : 0.0, term : 1 + term), term : 1, term while term <= 4 do (array_complex_pole : 0.0, term : 1 + term), term : 1, term while term <= 2 do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= 2 do (array_last_rel_error : 0.0, term term : 1 + term), term : 1, while term <= 2 do (array_type_pole : 0.0, term term : 1 + term), term : 1, while term <= 2 do (array_type_real_pole : 0.0, term : 1 + term), term : 1, term while term <= 2 do (array_type_complex_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_y : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_x : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_poles : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_given_rad_poles : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_given_ord_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_real_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_complex_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= max_terms do (term : 1, while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_m1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_m1 : 0.0, term : 1 + term), term array(array_const_1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0, 1 while jjjf <= glob_max_terms do (array_fact_1 : 0, iiif array_fact_2 : 0, jjjf : 1 + jjjf), iiif : 1 + iiif), iiif, jjjf x_start : - 5.0, x_end : 5.0, array_y_init : exact_soln_y(x_start), 1 + 0 glob_look_poles : false, glob_max_iter : 1000000, glob_display_interval : 0.1, glob_max_minutes : 10, glob_desired_digits_correct : 10, glob_display_interval : 0.01, glob_look_poles : true, glob_max_iter : 10000000, glob_max_minutes : 3, glob_subiter_method : 3, glob_last_good_h : glob_h, glob_max_terms : max_terms, glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours) + convfloat(60.0) convfloat(glob_max_minutes), if glob_h > 0.0 then (glob_neg_h : false, glob_display_interval : omniabs(glob_display_interval)) else (glob_neg_h : true, glob_display_interval : - omniabs(glob_display_interval)), chk_data(), array_y_set_initial : true, 1, 1 array_y_set_initial : false, array_y_set_initial : false, 1, 2 1, 3 array_y_set_initial : false, array_y_set_initial : false, 1, 4 1, 5 array_y_set_initial : false, array_y_set_initial : false, 1, 6 1, 7 array_y_set_initial : false, array_y_set_initial : false, 1, 8 1, 9 array_y_set_initial : false, array_y_set_initial : false, 1, 10 1, 11 array_y_set_initial : false, array_y_set_initial : false, 1, 12 1, 13 array_y_set_initial : false, array_y_set_initial : false, 1, 14 1, 15 array_y_set_initial : false, array_y_set_initial : false, 1, 16 1, 17 array_y_set_initial : false, array_y_set_initial : false, 1, 18 1, 19 array_y_set_initial : false, array_y_set_initial : false, 1, 20 1, 21 array_y_set_initial : false, array_y_set_initial : false, 1, 22 1, 23 array_y_set_initial : false, array_y_set_initial : false, 1, 24 1, 25 array_y_set_initial : false, array_y_set_initial : false, 1, 26 1, 27 array_y_set_initial : false, array_y_set_initial : false, 1, 28 1, 29 array_y_set_initial : false, omniout_str(ALWAYS, "START of Optimize"), 1, 30 glob_check_sign : check_sign(x_start, x_end), glob_h : check_sign(x_start, x_end), found_h : false, glob_h : glob_min_h, if glob_max_h < glob_h then glob_h : glob_max_h, if glob_display_interval < glob_h then glob_h : glob_display_interval, best_h : glob_h, min_value : glob_large_float, est_answer : est_size_answer(), opt_iter : 1, est_needed_step_err : estimated_needed_step_error(x_start, x_end, glob_h, est_answer), omniout_float(ALWAYS, "est_needed_step_err", 32, est_needed_step_err, 16, ""), estimated_step_error : 0.0, while (opt_iter <= 100) and (not found_h) do (omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, ""), array_x : x_start, array_x : glob_h, 1 2 glob_next_display : x_start, order_diff : 1, term_no : 1, while term_no <= order_diff do (array_y : term_no array_y_init expt(glob_h, term_no - 1) term_no ---------------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, array_y_init expt(glob_h, term_no - 1) it array_y_higher : ----------------------------------------, r_order, term_no factorial_1(term_no - 1) term_no : 1 + term_no), r_order : 1 + r_order), atomall(), estimated_step_error : test_suggested_h(), omniout_float(ALWAYS, "estimated_step_error", 32, estimated_step_error, 32, ""), if ((estimated_step_error > est_needed_step_err) and (opt_iter = 1)) or (glob_h >= glob_max_h) then (found_h : true, glob_h : glob_max_h, best_h : glob_h) elseif (estimated_step_error > est_needed_step_err) glob_h and (not found_h) then (glob_h : ------, best_h : glob_h, found_h : true) 2.0 else (glob_h : glob_h 2.0, best_h : glob_h), omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""), opt_iter : 1 + opt_iter), if (not found_h) and (opt_iter = 1) then (omniout_str(ALWAYS, "Beginning glob_h too large."), found_h : false), if opt_iter > 100 then (glob_h : glob_max_h, found_h : false), if glob_display_interval < glob_h then glob_h : glob_display_interval, if glob_html_log then html_log_file : openw("entry.html"), if found_h then (omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, 1 array_x : glob_h, glob_next_display : x_start, order_diff : 1, term_no : 1, 2 while term_no <= order_diff do (array_y : term_no array_y_init expt(glob_h, term_no - 1) term_no ---------------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, array_y_init expt(glob_h, term_no - 1) it array_y_higher : ----------------------------------------, r_order, term_no factorial_1(term_no - 1) term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1, glob_clock_start_sec : elapsed_time_seconds(), glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "), glob_reached_optimal_h : true, glob_optimal_clock_start_sec : elapsed_time_seconds(), while (glob_current_iter < glob_max_iter) and (glob_check_sign array_x < glob_check_sign x_end) 1 and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec)) do (if reached_interval () then (omniout_str(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop")), glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 1 + glob_current_iter, atomall(), display_alot(current_iter), if glob_look_poles then check_for_pole(), if reached_interval() then glob_next_display : glob_display_interval + glob_next_display, array_x : glob_h + array_x , 1 1 array_x : glob_h, order_diff : 2, ord : 2, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, ord : 1, calc_term : 2, factorial_1(calc_term - 1) iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 2, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, ord : 1, calc_term : 1, factorial_1(calc_term - 1) iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, term_no : glob_max_terms, factorial_1(calc_term - 1) while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1)), ord, term_no omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 1 ) = y;"), omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "), prog_report(x_start, x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2013-05-26T00:16:08-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "diff0"), logitem_str(html_log_file, "diff ( y , x , 1 ) = y;"), logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end), logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h), 1 logitem_str(html_log_file, "16"), logitem_good_digits(html_log_file, array_last_rel_error ), logitem_integer(html_log_file, glob_max_terms), 1 logitem_float(html_log_file, array_1st_rel_error ), 1 logitem_float(html_log_file, array_last_rel_error ), 1 logitem_integer(html_log_file, glob_iter), logitem_time(html_log_file, convfloat(glob_clock_sec)), if glob_percent_done < 100.0 then (logitem_time(html_log_file, convfloat(glob_total_exp_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 189 "), logitem_str(html_log_file, "diff0 diffeq.max"), logitem_str(html_log_file, "diff0 maxima results" ), logitem_str(html_log_file, "All Tests - All Languages"), logend(html_log_file)), if glob_html_log then close(html_log_file))) (%o57) main() := block([d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, max_terms, opt_iter, tmp, subiter, est_needed_step_err, estimated_step_error, min_value, est_answer, best_h, found_h, repeat_it], define_variable(glob_max_terms, 30, fixnum), define_variable(glob_iolevel, 5, fixnum), define_variable(glob_yes_pole, 4, fixnum), define_variable(glob_no_pole, 3, fixnum), define_variable(glob_not_given, 0, fixnum), define_variable(ALWAYS, 1, fixnum), define_variable(INFO, 2, fixnum), define_variable(DEBUGL, 3, fixnum), define_variable(DEBUGMASSIVE, 4, fixnum), define_variable(MAX_UNCHANGED, 10, fixnum), define_variable(glob_check_sign, 1.0, float), define_variable(glob_desired_digits_correct, 8.0, float), define_variable(glob_max_estimated_step_error, 0.0, float), define_variable(glob_ratio_of_radius, 0.1, float), define_variable(glob_percent_done, 0.0, float), define_variable(glob_subiter_method, 3, fixnum), define_variable(glob_total_exp_sec, 0.1, float), define_variable(glob_optimal_expect_sec, 0.1, float), define_variable(glob_html_log, true, boolean), define_variable(glob_good_digits, 0, fixnum), define_variable(glob_max_opt_iter, 10, fixnum), define_variable(glob_dump, false, boolean), define_variable(glob_djd_debug, true, boolean), define_variable(glob_display_flag, true, boolean), define_variable(glob_djd_debug2, true, boolean), define_variable(glob_sec_in_minute, 60, fixnum), define_variable(glob_min_in_hour, 60, fixnum), define_variable(glob_hours_in_day, 24, fixnum), define_variable(glob_days_in_year, 365, fixnum), define_variable(glob_sec_in_hour, 3600, fixnum), define_variable(glob_sec_in_day, 86400, fixnum), define_variable(glob_sec_in_year, 31536000, fixnum), define_variable(glob_almost_1, 0.999, float), define_variable(glob_clock_sec, 0.0, float), define_variable(glob_clock_start_sec, 0.0, float), define_variable(glob_not_yet_finished, true, boolean), define_variable(glob_initial_pass, true, boolean), define_variable(glob_not_yet_start_msg, true, boolean), define_variable(glob_reached_optimal_h, false, boolean), define_variable(glob_optimal_done, false, boolean), define_variable(glob_disp_incr, 0.1, float), define_variable(glob_h, 0.1, float), define_variable(glob_max_h, 0.1, float), define_variable(glob_min_h, 1.0E-6, float), define_variable(glob_type_given_pole, 0, fixnum), define_variable(glob_large_float, 9.0E+100, float), define_variable(glob_last_good_h, 0.1, float), define_variable(glob_look_poles, false, boolean), define_variable(glob_neg_h, false, boolean), define_variable(glob_display_interval, 0.0, float), define_variable(glob_next_display, 0.0, float), define_variable(glob_dump_analytic, false, boolean), define_variable(glob_abserr, 1.0E-11, float), define_variable(glob_relerr, 1.0E-11, float), define_variable(glob_max_hours, 0.0, float), define_variable(glob_max_iter, 1000, fixnum), define_variable(glob_max_rel_trunc_err, 1.0E-11, float), define_variable(glob_max_trunc_err, 1.0E-11, float), define_variable(glob_no_eqs, 0, fixnum), define_variable(glob_optimal_clock_start_sec, 0.0, float), define_variable(glob_optimal_start, 0.0, float), define_variable(glob_small_float, 0.0, float), define_variable(glob_smallish_float, 0.0, float), define_variable(glob_unchanged_h_cnt, 0, fixnum), define_variable(glob_warned, false, boolean), define_variable(glob_warned2, false, boolean), define_variable(glob_max_sec, 10000.0, float), define_variable(glob_orig_start_sec, 0.0, float), define_variable(glob_start, 0, fixnum), define_variable(glob_curr_iter_when_opt, 0, fixnum), define_variable(glob_current_iter, 0, fixnum), define_variable(glob_iter, 0, fixnum), define_variable(glob_normmax, 0.0, float), define_variable(glob_max_minutes, 0.0, float), ALWAYS : 1, INFO : 2, DEBUGL : 3, DEBUGMASSIVE : 4, glob_iolevel : INFO, glob_orig_start_sec : elapsed_time_seconds(), MAX_UNCHANGED : 10, glob_curr_iter_when_opt : 0, glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1, glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/diff0postode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = y;"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits:32,"), omniout_str(ALWAYS, "max_terms:30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start:-5.0,"), omniout_str(ALWAYS, "x_end:5.0,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_look_poles:false,"), omniout_str(ALWAYS, "glob_max_iter:1000000,"), omniout_str(ALWAYS, "glob_display_interval:0.1,"), omniout_str(ALWAYS, "glob_max_minutes:10,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_desired_digits_correct:10,"), omniout_str(ALWAYS, "glob_display_interval:0.01,"), omniout_str(ALWAYS, "glob_look_poles:true,"), omniout_str(ALWAYS, "glob_max_iter:10000000,"), omniout_str(ALWAYS, "glob_max_minutes:3,"), omniout_str(ALWAYS, "glob_subiter_method:3,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := (block("), omniout_str(ALWAYS, " (exp(x)) "), omniout_str(ALWAYS, "));"), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 0.0, glob_smallish_float : 0.0, glob_large_float : 1.0E+100, glob_almost_1 : 0.99, Digits : 32, max_terms : 30, glob_max_terms : max_terms, glob_html_log : true, array(array_y_init, 1 + max_terms), array(array_norms, 1 + max_terms), array(array_fact_1, 1 + max_terms), array(array_pole, 1 + 4), array(array_real_pole, 1 + 4), array(array_complex_pole, 1 + 4), array(array_1st_rel_error, 1 + 2), array(array_last_rel_error, 1 + 2), array(array_type_pole, 1 + 2), array(array_type_real_pole, 1 + 2), array(array_type_complex_pole, 1 + 2), array(array_y, 1 + max_terms), array(array_x, 1 + max_terms), array(array_tmp0, 1 + max_terms), array(array_tmp1, 1 + max_terms), array(array_m1, 1 + max_terms), array(array_y_higher, 1 + 2, 1 + max_terms), array(array_y_higher_work, 1 + 2, 1 + max_terms), array(array_y_higher_work2, 1 + 2, 1 + max_terms), array(array_y_set_initial, 1 + 2, 1 + max_terms), array(array_poles, 1 + 2, 1 + 3), array(array_given_rad_poles, 1 + 2, 1 + 3), array(array_given_ord_poles, 1 + 2, 1 + 3), array(array_real_poles, 1 + 2, 1 + 3), array(array_complex_poles, 1 + 2, 1 + 3), array(array_fact_2, 1 + max_terms, 1 + max_terms), term : 1, while term <= max_terms do (array_y_init : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_norms : 0.0, term term : 1 + term), term : 1, while term <= max_terms do (array_fact_1 : 0.0, term : 1 + term), term : 1, term while term <= 4 do (array_pole : 0.0, term : 1 + term), term : 1, term while term <= 4 do (array_real_pole : 0.0, term : 1 + term), term : 1, term while term <= 4 do (array_complex_pole : 0.0, term : 1 + term), term : 1, term while term <= 2 do (array_1st_rel_error : 0.0, term : 1 + term), term term : 1, while term <= 2 do (array_last_rel_error : 0.0, term term : 1 + term), term : 1, while term <= 2 do (array_type_pole : 0.0, term term : 1 + term), term : 1, while term <= 2 do (array_type_real_pole : 0.0, term : 1 + term), term : 1, term while term <= 2 do (array_type_complex_pole : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_y : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_x : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp0 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_tmp1 : 0.0, term : 1 + term), term term : 1, while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_higher_work2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= max_terms do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_poles : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_given_rad_poles : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_given_ord_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_real_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_complex_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= max_terms do (term : 1, while term <= max_terms do (array_fact_2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), array(array_y, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_y : 0.0, term : 1 + term), term array(array_x, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_x : 0.0, term : 1 + term), term array(array_tmp0, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp0 : 0.0, term : 1 + term), term array(array_tmp1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_tmp1 : 0.0, term : 1 + term), term array(array_m1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_m1 : 0.0, term : 1 + term), term array(array_const_1, 1 + 1 + max_terms), term : 1, while term <= 1 + max_terms do (array_const_1 : 0.0, term : 1 + term), term array_const_1 : 1, array(array_const_0D0, 1 + 1 + max_terms), term : 1, 1 while term <= 1 + max_terms do (array_const_0D0 : 0.0, term : 1 + term), term array_const_0D0 : 0.0, array(array_m1, 1 + 1 + max_terms), term : 1, 1 while term <= max_terms do (array_m1 : 0.0, term : 1 + term), term array_m1 : - 1.0, iiif : 0, while iiif <= glob_max_terms do (jjjf : 0, 1 while jjjf <= glob_max_terms do (array_fact_1 : 0, iiif array_fact_2 : 0, jjjf : 1 + jjjf), iiif : 1 + iiif), iiif, jjjf x_start : - 5.0, x_end : 5.0, array_y_init : exact_soln_y(x_start), 1 + 0 glob_look_poles : false, glob_max_iter : 1000000, glob_display_interval : 0.1, glob_max_minutes : 10, glob_desired_digits_correct : 10, glob_display_interval : 0.01, glob_look_poles : true, glob_max_iter : 10000000, glob_max_minutes : 3, glob_subiter_method : 3, glob_last_good_h : glob_h, glob_max_terms : max_terms, glob_max_sec : convfloat(3600.0) convfloat(glob_max_hours) + convfloat(60.0) convfloat(glob_max_minutes), if glob_h > 0.0 then (glob_neg_h : false, glob_display_interval : omniabs(glob_display_interval)) else (glob_neg_h : true, glob_display_interval : - omniabs(glob_display_interval)), chk_data(), array_y_set_initial : true, 1, 1 array_y_set_initial : false, array_y_set_initial : false, 1, 2 1, 3 array_y_set_initial : false, array_y_set_initial : false, 1, 4 1, 5 array_y_set_initial : false, array_y_set_initial : false, 1, 6 1, 7 array_y_set_initial : false, array_y_set_initial : false, 1, 8 1, 9 array_y_set_initial : false, array_y_set_initial : false, 1, 10 1, 11 array_y_set_initial : false, array_y_set_initial : false, 1, 12 1, 13 array_y_set_initial : false, array_y_set_initial : false, 1, 14 1, 15 array_y_set_initial : false, array_y_set_initial : false, 1, 16 1, 17 array_y_set_initial : false, array_y_set_initial : false, 1, 18 1, 19 array_y_set_initial : false, array_y_set_initial : false, 1, 20 1, 21 array_y_set_initial : false, array_y_set_initial : false, 1, 22 1, 23 array_y_set_initial : false, array_y_set_initial : false, 1, 24 1, 25 array_y_set_initial : false, array_y_set_initial : false, 1, 26 1, 27 array_y_set_initial : false, array_y_set_initial : false, 1, 28 1, 29 array_y_set_initial : false, omniout_str(ALWAYS, "START of Optimize"), 1, 30 glob_check_sign : check_sign(x_start, x_end), glob_h : check_sign(x_start, x_end), found_h : false, glob_h : glob_min_h, if glob_max_h < glob_h then glob_h : glob_max_h, if glob_display_interval < glob_h then glob_h : glob_display_interval, best_h : glob_h, min_value : glob_large_float, est_answer : est_size_answer(), opt_iter : 1, est_needed_step_err : estimated_needed_step_error(x_start, x_end, glob_h, est_answer), omniout_float(ALWAYS, "est_needed_step_err", 32, est_needed_step_err, 16, ""), estimated_step_error : 0.0, while (opt_iter <= 100) and (not found_h) do (omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, ""), array_x : x_start, array_x : glob_h, 1 2 glob_next_display : x_start, order_diff : 1, term_no : 1, while term_no <= order_diff do (array_y : term_no array_y_init expt(glob_h, term_no - 1) term_no ---------------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, array_y_init expt(glob_h, term_no - 1) it array_y_higher : ----------------------------------------, r_order, term_no factorial_1(term_no - 1) term_no : 1 + term_no), r_order : 1 + r_order), atomall(), estimated_step_error : test_suggested_h(), omniout_float(ALWAYS, "estimated_step_error", 32, estimated_step_error, 32, ""), if ((estimated_step_error > est_needed_step_err) and (opt_iter = 1)) or (glob_h >= glob_max_h) then (found_h : true, glob_h : glob_max_h, best_h : glob_h) elseif (estimated_step_error > est_needed_step_err) glob_h and (not found_h) then (glob_h : ------, best_h : glob_h, found_h : true) 2.0 else (glob_h : glob_h 2.0, best_h : glob_h), omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""), opt_iter : 1 + opt_iter), if (not found_h) and (opt_iter = 1) then (omniout_str(ALWAYS, "Beginning glob_h too large."), found_h : false), if opt_iter > 100 then (glob_h : glob_max_h, found_h : false), if glob_display_interval < glob_h then glob_h : glob_display_interval, if glob_html_log then html_log_file : openw("entry.html"), if found_h then (omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, 1 array_x : glob_h, glob_next_display : x_start, order_diff : 1, term_no : 1, 2 while term_no <= order_diff do (array_y : term_no array_y_init expt(glob_h, term_no - 1) term_no ---------------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, array_y_init expt(glob_h, term_no - 1) it array_y_higher : ----------------------------------------, r_order, term_no factorial_1(term_no - 1) term_no : 1 + term_no), r_order : 1 + r_order), current_iter : 1, glob_clock_start_sec : elapsed_time_seconds(), glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "), glob_reached_optimal_h : true, glob_optimal_clock_start_sec : elapsed_time_seconds(), while (glob_current_iter < glob_max_iter) and (glob_check_sign array_x < glob_check_sign x_end) 1 and (convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec)) do (if reached_interval () then (omniout_str(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop")), glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 1 + glob_current_iter, atomall(), display_alot(current_iter), if glob_look_poles then check_for_pole(), if reached_interval() then glob_next_display : glob_display_interval + glob_next_display, array_x : glob_h + array_x , 1 1 array_x : glob_h, order_diff : 2, ord : 2, calc_term : 1, 2 iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, ord : 1, calc_term : 2, factorial_1(calc_term - 1) iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 2, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, ord : 1, calc_term : 1, factorial_1(calc_term - 1) iii : glob_max_terms, while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 1, iii : glob_max_terms, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, term_no : glob_max_terms, factorial_1(calc_term - 1) while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1)), ord, term_no omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 1 ) = y;"), omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "), prog_report(x_start, x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2013-05-26T00:16:08-05:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "diff0"), logitem_str(html_log_file, "diff ( y , x , 1 ) = y;"), logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end), logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h), 1 logitem_str(html_log_file, "16"), logitem_good_digits(html_log_file, array_last_rel_error ), logitem_integer(html_log_file, glob_max_terms), 1 logitem_float(html_log_file, array_1st_rel_error ), 1 logitem_float(html_log_file, array_last_rel_error ), 1 logitem_integer(html_log_file, glob_iter), logitem_time(html_log_file, convfloat(glob_clock_sec)), if glob_percent_done < 100.0 then (logitem_time(html_log_file, convfloat(glob_total_exp_sec)), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 189 "), logitem_str(html_log_file, "diff0 diffeq.max"), logitem_str(html_log_file, "diff0 maxima results" ), logitem_str(html_log_file, "All Tests - All Languages"), logend(html_log_file)), if glob_html_log then close(html_log_file))) (%i58) main() "##############ECHO OF PROBLEM#################" "##############temp/diff0postode.ode#################" "diff ( y , x , 1 ) = y;" "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits:32," "max_terms:30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start:-5.0," "x_end:5.0," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_look_poles:false," "glob_max_iter:1000000," "glob_display_interval:0.1," "glob_max_minutes:10," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_desired_digits_correct:10," "glob_display_interval:0.01," "glob_look_poles:true," "glob_max_iter:10000000," "glob_max_minutes:3," "glob_subiter_method:3," "/* END OVERRIDE BLOCK */" "!" "/* BEGIN USER DEF BLOCK */" "exact_soln_y (x) := (block(" " (exp(x)) " "));" "" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Optimize" min_size = 0.0 "" min_size = 1. "" glob_desired_digits_correct = 10. "" desired_abs_gbl_error = 1.0000000000E-10 "" range = 10. "" estimated_steps = 10000000. "" step_error = 1.00000000000000000E-17 "" est_needed_step_err = 1.00000000000000000E-17 "" opt_iter = 1 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.670738851013512400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-185 "" estimated_step_error = 1.670738851013512400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-185 "" best_h = 2.000000E-6 "" opt_iter = 2 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.121213884085041100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-177 "" estimated_step_error = 1.121213884085041100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-177 "" best_h = 4.000000E-6 "" opt_iter = 3 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 7.5243392848767200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-170 "" estimated_step_error = 7.5243392848767200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-170 "" best_h = 8.000000E-6 "" opt_iter = 4 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 5.049498991623478000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-162 "" estimated_step_error = 5.049498991623478000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-162 "" best_h = 1.600000E-5 "" opt_iter = 5 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 3.3886619129940250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-154 "" estimated_step_error = 3.3886619129940250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-154 "" best_h = 3.200000E-5 "" opt_iter = 6 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 2.274093188416525800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-146 "" estimated_step_error = 2.274093188416525800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-146 "" best_h = 6.400000E-5 "" opt_iter = 7 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.526119009415009000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-138 "" estimated_step_error = 1.526119009415009000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-138 "" best_h = 1.280000E-4 "" opt_iter = 8 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.02416234432978790000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-130 "" estimated_step_error = 1.02416234432978790000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-130 "" best_h = 2.560000E-4 "" opt_iter = 9 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 6.873053439671596000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-123 "" estimated_step_error = 6.873053439671596000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-123 "" best_h = 5.120000E-4 "" opt_iter = 10 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 4.6124499519984890000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-115 "" estimated_step_error = 4.6124499519984890000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-115 "" best_h = 1.024000E-3 "" opt_iter = 11 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 3.095392114506184700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-107 "" estimated_step_error = 3.095392114506184700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-107 "" best_h = 2.048000E-3 "" opt_iter = 12 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 2.077321877235377100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-99 "" estimated_step_error = 2.077321877235377100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-99 "" best_h = 4.096000E-3 "" opt_iter = 13 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.3941199885175420000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-91 "" estimated_step_error = 1.3941199885175420000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-91 "" best_h = 8.192000E-3 "" opt_iter = 14 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 9.356490626093134000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-84 "" estimated_step_error = 9.356490626093134000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-84 "" best_h = 1.638400E-2 "" opt_iter = 15 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 6.2799873957036380000000000000000000000000000000000000000000000000000000000000000000000000000E-76 "" estimated_step_error = 6.2799873957036380000000000000000000000000000000000000000000000000000000000000000000000000000E-76 "" best_h = 3.276800E-2 "" opt_iter = 16 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 4.215707623357400300000000000000000000000000000000000000000000000000000000000000000E-68 "" estimated_step_error = 4.215707623357400300000000000000000000000000000000000000000000000000000000000000000E-68 "" best_h = 6.553600E-2 "" opt_iter = 17 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 2.830832213653078000000000000000000000000000000000000000000000000000000000000E-60 "" estimated_step_error = 2.830832213653078000000000000000000000000000000000000000000000000000000000000E-60 "" 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 = 1.9020502070240720000000000000000000000000000000000000000000000000000E-52 "" estimated_step_error = 1.9020502070240720000000000000000000000000000000000000000000000000000E-52 "" best_h = 0.1 "" "START of Soultion" " " "TOP MAIN SOLVE Loop" x[1] = -5. " " y[1] (analytic) = 6.737946999085467000E-3 " " y[1] (numeric) = 6.737946999085467000E-3 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO 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) = 6.805664492230543000E-3 " " y[1] (numeric) = 6.805664492230545000E-3 " " absolute error = 1.734723475976807000000000000000000E-18 " " relative error = 2.548940633140519600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.98 " " y[1] (analytic) = 6.874062557496248000E-3 " " y[1] (numeric) = 6.874062557496252000E-3 " " absolute error = 3.469446951953614000000000000000000E-18 " " relative error = 5.04715650015454200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.970000000000000 " " y[1] (analytic) = 6.9431480347461080000E-3 " " y[1] (numeric) = 6.943148034746113000E-3 " " absolute error = 4.336808689942018000000000000000000E-18 " " relative error = 6.24617056735504600000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.960000000000000 " " y[1] (analytic) = 7.012927832585417000E-3 " " y[1] (numeric) = 7.012927832585425000E-3 " " absolute error = 6.938893903907228000000000000000000E-18 " " relative error = 9.894432210846100000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.950000000000001 " " y[1] (analytic) = 7.083408929052113000E-3 " " y[1] (numeric) = 7.083408929052121000E-3 " " absolute error = 8.673617379884035000000000000000000E-18 " " relative error = 1.22449762067382450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.940000000000001 " " y[1] (analytic) = 7.154598372314572000E-3 " " y[1] (numeric) = 7.154598372314582000E-3 " " absolute error = 1.040834085586084300000000000000000E-17 " " relative error = 1.45477639892924670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.9300000000000015 " " y[1] (analytic) = 7.2265032813764500000E-3 " " y[1] (numeric) = 7.226503281376461000E-3 " " absolute error = 1.127570259384924600000000000000000E-17 " " relative error = 1.56032622622729040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.920000000000002 " " y[1] (analytic) = 7.29913084678857000E-3 " " y[1] (numeric) = 7.299130846788583000E-3 " " absolute error = 1.301042606982605300000000000000000E-17 " " relative error = 1.78246237023553380000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999959 " " Order of pole (six term test) = -11.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.910000000000002 " " y[1] (analytic) = 7.372488331367998000E-3 " " y[1] (numeric) = 7.372488331368012000E-3 " " absolute error = 1.47451495458028600000000000000000E-17 " " relative error = 2.00002344975795050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 185977539.33796808 " " Order of pole (six term test) = -219902325555212. " " " " "TOP MAIN SOLVE Loop" x[1] = -4.900000000000002 " " y[1] (analytic) = 7.446583070924324000E-3 " " y[1] (numeric) = 7.446583070924341000E-3 " " absolute error = 1.647987302177966700000000000000000E-17 " " relative error = 2.21307851733050840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.890000000000002 " " y[1] (analytic) = 7.521422474993249000E-3 " " y[1] (numeric) = 7.521422474993268000E-3 " " absolute error = 1.821459649775647400000000000000000E-17 " " relative error = 2.4216957042787070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999975 " " Order of pole (six term test) = -11. " " " " "TOP MAIN SOLVE Loop" x[1] = -4.880000000000003 " " y[1] (analytic) = 7.597014027577547000E-3 " " y[1] (numeric) = 7.597014027577567000E-3 " " absolute error = 1.994931997373328200000000000000000E-17 " " relative error = 2.6259422322133720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999981 " " Order of pole (six term test) = -10.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.870000000000003 " " y[1] (analytic) = 7.6733652878954680000E-3 " " y[1] (numeric) = 7.67336528789549000E-3 " " absolute error = 2.16840434497100900000000000000000E-17 " " relative error = 2.82588442438887870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.860000000000003 " " y[1] (analytic) = 7.750483891136671000E-3 " " y[1] (numeric) = 7.7504838911366960000E-3 " " absolute error = 2.4286128663675300000000000000000E-17 " " relative error = 3.13349837310784250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.850000000000003 " " y[1] (analytic) = 7.828377549225746000E-3 " " y[1] (numeric) = 7.828377549225771000E-3 " " absolute error = 2.602085213965210600000000000000000E-17 " " relative error = 3.32391379644504550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 90747747.10335553 " " Order of pole (six term test) = -31414617936468.64 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.840000000000003 " " y[1] (analytic) = 7.907054051593414000E-3 " " y[1] (numeric) = 7.907054051593442000E-3 " " absolute error = 2.775557561562891400000000000000000E-17 " " relative error = 3.5102296550047823000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.830000000000004 " " y[1] (analytic) = 7.986521265955473000E-3 " " y[1] (numeric) = 7.986521265955504000E-3 " " absolute error = 3.12250225675825300000000000000000E-17 " " relative error = 3.9097150721537460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999959 " " Order of pole (six term test) = -11.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.820000000000004 " " y[1] (analytic) = 8.066787139099587000E-3 " " y[1] (numeric) = 8.066787139099618000E-3 " " absolute error = 3.12250225675825300000000000000000E-17 " " relative error = 3.87081275719243300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.810000000000004 " " y[1] (analytic) = 8.147859697679952000E-3 " " y[1] (numeric) = 8.147859697679987000E-3 " " absolute error = 3.46944695195361400000000000000000E-17 " " relative error = 4.25810836303614270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999981 " " Order of pole (six term test) = -10.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.800000000000004 " " y[1] (analytic) = 8.229747049019994000E-3 " " y[1] (numeric) = 8.22974704902003000E-3 " " absolute error = 3.64291929955129500000000000000000E-17 " " relative error = 4.42652645075536900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -219902325555212.2 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.7900000000000045 " " y[1] (analytic) = 8.312457381923082000E-3 " " y[1] (numeric) = 8.31245738192312100E-3 " " absolute error = 3.816391647148975600000000000000000E-17 " " relative error = 4.591171385068870700000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.780000000000005 " " y[1] (analytic) = 8.395998967491433000E-3 " " y[1] (numeric) = 8.395998967491474000E-3 " " absolute error = 4.16333634234433700000000000000000E-17 " " relative error = 4.9587146907287720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.770000000000005 " " y[1] (analytic) = 8.480380159953224000E-3 " " y[1] (numeric) = 8.480380159953265000E-3 " " absolute error = 4.16333634234433700000000000000000E-17 " " relative error = 4.9093746551655780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.760000000000005 " " y[1] (analytic) = 8.565609397498015000E-3 " " y[1] (numeric) = 8.565609397498058000E-3 " " absolute error = 4.33680868994201800000000000000000E-17 " " relative error = 5.0630474595406880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.750000000000005 " " y[1] (analytic) = 8.651695203120587000E-3 " " y[1] (numeric) = 8.651695203120634000E-3 " " absolute error = 4.68375338513737900000000000000000E-17 " " relative error = 5.4136828392290020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.7400000000000055 " " y[1] (analytic) = 8.738646185473243000E-3 " " y[1] (numeric) = 8.738646185473292000E-3 " " absolute error = 4.8572257327350600000000000000000E-17 " " relative error = 5.5583274910586340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.730000000000006 " " y[1] (analytic) = 8.826471039726675000E-3 " " y[1] (numeric) = 8.826471039726727000E-3 " " absolute error = 5.030698080332741000000000000000000E-17 " " relative error = 5.6995576801762480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.720000000000006 " " y[1] (analytic) = 8.915178548439497000E-3 " " y[1] (numeric) = 8.91517854843955000E-3 " " absolute error = 5.20417042793042100000000000000000E-17 " " relative error = 5.8374270348644360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.710000000000006 " " y[1] (analytic) = 9.004777582436504000E-3 " " y[1] (numeric) = 9.004777582436557000E-3 " " absolute error = 5.37764277552810200000000000000000E-17 " " relative error = 5.9719884542367840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.700000000000006 " " y[1] (analytic) = 9.095277101695758000E-3 " " y[1] (numeric) = 9.095277101695816000E-3 " " absolute error = 5.72458747072346300000000000000000E-17 " " relative error = 6.2940220586090220000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.690000000000007 " " y[1] (analytic) = 9.186686156244607000E-3 " " y[1] (numeric) = 9.186686156244666000E-3 " " absolute error = 5.89805981832114400000000000000000E-17 " " relative error = 6.4202256591861100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.680000000000007 " " y[1] (analytic) = 9.279013887064678000E-3 " " y[1] (numeric) = 9.279013887064739000E-3 " " absolute error = 6.07153216591882500000000000000000E-17 " " relative error = 6.5432946214066860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999981 " " Order of pole (six term test) = -10.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.670000000000007 " " y[1] (analytic) = 9.37226952700599000E-3 " " y[1] (numeric) = 9.372269527006054000E-3 " " absolute error = 6.41847686111418600000000000000000E-17 " " relative error = 6.8483699093581190000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 92988769.66898404 " " Order of pole (six term test) = -109951162777612. " " " " "TOP MAIN SOLVE Loop" x[1] = -4.660000000000007 " " y[1] (analytic) = 9.466462401710255000E-3 " " y[1] (numeric) = 9.466462401710322000E-3 " " absolute error = 6.59194920871186700000000000000000E-17 " " relative error = 6.9634768818401840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999981 " " Order of pole (six term test) = -10.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.6500000000000075 " " y[1] (analytic) = 9.561601930543437000E-3 " " y[1] (numeric) = 9.561601930543504000E-3 " " absolute error = 6.76542155630954800000000000000000E-17 " " relative error = 7.0756151588973680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 185977539.33796808 " " Order of pole (six term test) = -219902325555212. " " " " "TOP MAIN SOLVE Loop" x[1] = -4.640000000000008 " " y[1] (analytic) = 9.6576976275377000E-3 " " y[1] (numeric) = 9.65769762753777000E-3 " " absolute error = 6.93889390390722800000000000000000E-17 " " relative error = 7.1848324222968550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 185977539.3379678 " " Order of pole (six term test) = -219902325555212. " " " " "TOP MAIN SOLVE Loop" x[1] = -4.630000000000008 " " y[1] (analytic) = 9.754759102342825000E-3 " " y[1] (numeric) = 9.754759102342898000E-3 " " absolute error = 7.2858385991025900000000000000000E-17 " " relative error = 7.4690092524711670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.620000000000008 " " y[1] (analytic) = 9.852796061187177000E-3 " " y[1] (numeric) = 9.852796061187253000E-3 " " absolute error = 7.63278329429795100000000000000000E-17 " " relative error = 7.7468195290934160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.610000000000008 " " y[1] (analytic) = 9.95181830784834000E-3 " " y[1] (numeric) = 9.951818307848418000E-3 " " absolute error = 7.80625564189563200000000000000000E-17 " " relative error = 7.8440496002015580000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.6000000000000085 " " y[1] (analytic) = 1.005183574463349600E-2 " " y[1] (numeric) = 1.005183574463357800E-2 " " absolute error = 8.15320033709099300000000000000000E-17 " " relative error = 8.1111555582708840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.590000000000009 " " y[1] (analytic) = 1.015285837336967200E-2 " " y[1] (numeric) = 1.015285837336975800E-2 " " absolute error = 8.50014503228635500000000000000000E-17 " " relative error = 8.3721694124895070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.580000000000009 " " y[1] (analytic) = 1.02548962964039300E-2 " " y[1] (numeric) = 1.025489629640401900E-2 " " absolute error = 8.84708972748171600000000000000000E-17 " " relative error = 8.6271859527083780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.570000000000010 " " y[1] (analytic) = 1.035795971761360500E-2 " " y[1] (numeric) = 1.035795971761369600E-2 " " absolute error = 9.19403442267707800000000000000000E-17 " " relative error = 8.8762986855825640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.560000000000010 " " y[1] (analytic) = 1.046205894342670100E-2 " " y[1] (numeric) = 1.046205894342679400E-2 " " absolute error = 9.36750677027475800000000000000000E-17 " " relative error = 8.9537889443457510000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.55000000000001 " " y[1] (analytic) = 1.056720438385255200E-2 " " y[1] (numeric) = 1.05672043838526490E-2 " " absolute error = 9.7144514654701200000000000000000E-17 " " relative error = 9.1930193763588970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.54000000000001 " " y[1] (analytic) = 1.067340655352282100E-2 " " y[1] (numeric) = 1.067340655352292100E-2 " " absolute error = 1.00613961606654810000000000000000E-16 " " relative error = 9.4266025661176160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.4 " " Order of pole (six term test) = -659706976665614. " " " " "TOP MAIN SOLVE Loop" x[1] = -4.53000000000001 " " y[1] (analytic) = 1.078067607274297800E-2 " " y[1] (numeric) = 1.078067607274308100E-2 " " absolute error = 1.04083408558608430000000000000000E-16 " " relative error = 9.6546272104181670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999975 " " Order of pole (six term test) = -219902325555211.5 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.52000000000001 " " y[1] (analytic) = 1.088902366855433500E-2 " " y[1] (numeric) = 1.088902366855444300E-2 " " absolute error = 1.07552855510562040000000000000000E-16 " " relative error = 9.877180800070860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 87670652.80950966 " " Order of pole (six term test) = 73300775185054.31 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.5100000000000104 " " y[1] (analytic) = 1.099846017580676500E-2 " " y[1] (numeric) = 1.099846017580687300E-2 " " absolute error = 1.09287578986538850000000000000000E-16 " " relative error = 9.936625422069351000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.500000000000010 " " y[1] (analytic) = 1.110899653824218800E-2 " " y[1] (numeric) = 1.110899653824230100E-2 " " absolute error = 1.12757025938492460000000000000000E-16 " " relative error = 1.0150064008961728000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999975 " " Order of pole (six term test) = -219902325555211.5 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.490000000000010 " " y[1] (analytic) = 1.122064380958896500E-2 " " y[1] (numeric) = 1.12206438095890800E-2 " " absolute error = 1.16226472890446080000000000000000E-16 " " relative error = 1.035827131337339000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.480000000000011 " " y[1] (analytic) = 1.133341315466726700E-2 " " y[1] (numeric) = 1.133341315466738800E-2 " " absolute error = 1.1969591984239969000000000000000E-16 " " relative error = 1.056133030790527000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.470000000000011 " " y[1] (analytic) = 1.144731585050558000E-2 " " y[1] (numeric) = 1.144731585050570200E-2 " " absolute error = 1.2316536679435330000000000000000E-16 " " relative error = 1.0759322831903308000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.4600000000000115 " " y[1] (analytic) = 1.156236328746840200E-2 " " y[1] (numeric) = 1.156236328746852900E-2 " " absolute error = 1.26634813746306920000000000000000E-16 " " relative error = 1.0952329605795823000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 185977539.33796808 " " Order of pole (six term test) = -219902325555212. " " " " "TOP MAIN SOLVE Loop" x[1] = -4.450000000000012 " " y[1] (analytic) = 1.167856697039530800E-2 " " y[1] (numeric) = 1.167856697039543900E-2 " " absolute error = 1.30104260698260530000000000000000E-16 " " relative error = 1.114043024525779000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.440000000000012 " " y[1] (analytic) = 1.179593851975142500E-2 " " y[1] (numeric) = 1.17959385197515600E-2 " " absolute error = 1.35308431126190950000000000000000E-16 " " relative error = 1.147076435670014900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.430000000000012 " " y[1] (analytic) = 1.191448967278949800E-2 " " y[1] (numeric) = 1.191448967278963700E-2 " " absolute error = 1.38777878078144570000000000000000E-16 " " relative error = 1.164782394289935000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 87670652.8095102 " " Order of pole (six term test) = -219902325555213.25 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.420000000000012 " " y[1] (analytic) = 1.203423228472362500E-2 " " y[1] (numeric) = 1.203423228472376700E-2 " " absolute error = 1.42247325030098180000000000000000E-16 " " relative error = 1.182022431216226000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.410000000000013 " " y[1] (analytic) = 1.215517832991478400E-2 " " y[1] (numeric) = 1.215517832991493100E-2 " " absolute error = 1.4745149545802860000000000000000E-16 " " relative error = 1.2130755424224397000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.400000000000013 " " y[1] (analytic) = 1.227733990306828400E-2 " " y[1] (numeric) = 1.227733990306843600E-2 " " absolute error = 1.52655665885959020000000000000000E-16 " " relative error = 1.2433936593040662000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.390000000000013 " " y[1] (analytic) = 1.240072922044324000E-2 " " y[1] (numeric) = 1.240072922044339700E-2 " " absolute error = 1.56125112837912640000000000000000E-16 " " relative error = 1.258999451262369000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.380000000000013 " " y[1] (analytic) = 1.252535862107421700E-2 " " y[1] (numeric) = 1.252535862107437800E-2 " " absolute error = 1.59594559789866250000000000000000E-16 " " relative error = 1.2741715795773267000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.370000000000013 " " y[1] (analytic) = 1.265124056800513700E-2 " " y[1] (numeric) = 1.2651240568005300E-2 " " absolute error = 1.63064006741819870000000000000000E-16 " " relative error = 1.2889171292355878000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.360000000000014 " " y[1] (analytic) = 1.27783876495355900E-2 " " y[1] (numeric) = 1.277838764953575800E-2 " " absolute error = 1.6826817716975030000000000000000E-16 " " relative error = 1.3168185359900683000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.350000000000014 " " y[1] (analytic) = 1.29068125804796900E-2 " " y[1] (numeric) = 1.290681258047986200E-2 " " absolute error = 1.7173762412170390000000000000000E-16 " " relative error = 1.3305967143386005000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.340000000000014 " " y[1] (analytic) = 1.30365282034375500E-2 " " y[1] (numeric) = 1.303652820343772800E-2 " " absolute error = 1.76941794549634320000000000000000E-16 " " relative error = 1.3572769666004883000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.330000000000014 " " y[1] (analytic) = 1.316754749007956500E-2 " " y[1] (numeric) = 1.316754749007974500E-2 " " absolute error = 1.82145964977564740000000000000000E-16 " " relative error = 1.3832945361677534000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.3200000000000145 " " y[1] (analytic) = 1.329988354244357700E-2 " " y[1] (numeric) = 1.329988354244376600E-2 " " absolute error = 1.87350135405495170000000000000000E-16 " " relative error = 1.4086599691464174000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.310000000000015 " " y[1] (analytic) = 1.343354959424511200E-2 " " y[1] (numeric) = 1.343354959424530300E-2 " " absolute error = 1.90819582357448780000000000000000E-16 " " relative error = 1.4204703010081213000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.300000000000015 " " y[1] (analytic) = 1.35685590122007300E-2 " " y[1] (numeric) = 1.356855901220092600E-2 " " absolute error = 1.9602375278537920000000000000000E-16 " " relative error = 1.444691014050323000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.290000000000015 " " y[1] (analytic) = 1.370492529736474000E-2 " " y[1] (numeric) = 1.370492529736494000E-2 " " absolute error = 1.99493199737332820000000000000000E-16 " " relative error = 1.4556314274525267000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -219902325555212.2 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.280000000000015 " " y[1] (analytic) = 1.384266208647929300E-2 " " y[1] (numeric) = 1.384266208647949900E-2 " " absolute error = 2.04697370165263240000000000000000E-16 " " relative error = 1.4787428089081198000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.270000000000016 " " y[1] (analytic) = 1.398178315333808400E-2 " " y[1] (numeric) = 1.398178315333829500E-2 " " absolute error = 2.09901540593193660000000000000000E-16 " " relative error = 1.5012501502219383000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999981 " " Order of pole (six term test) = -10.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.260000000000016 " " y[1] (analytic) = 1.412230241016373700E-2 " " y[1] (numeric) = 1.412230241016395000E-2 " " absolute error = 2.15105711021124080000000000000000E-16 " " relative error = 1.5231631838326432000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.250000000000016 " " y[1] (analytic) = 1.426423390899902700E-2 " " y[1] (numeric) = 1.426423390899925000E-2 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.5566528587626968000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999981 " " Order of pole (six term test) = -10.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.240000000000016 " " y[1] (analytic) = 1.440759184311212200E-2 " " y[1] (numeric) = 1.440759184311234700E-2 " " absolute error = 2.2551405187698492000000000000000E-16 " " relative error = 1.5652445900235373000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.230000000000016 " " y[1] (analytic) = 1.455239054841589200E-2 " " y[1] (numeric) = 1.455239054841612200E-2 " " absolute error = 2.30718222304915340000000000000000E-16 " " relative error = 1.5854317648864247000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.220000000000017 " " y[1] (analytic) = 1.469864450490153700E-2 " " y[1] (numeric) = 1.469864450490177300E-2 " " absolute error = 2.35922392732845760000000000000000E-16 " " relative error = 1.6050622399512626000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.210000000000017 " " y[1] (analytic) = 1.484636833808658200E-2 " " y[1] (numeric) = 1.484636833808682400E-2 " " absolute error = 2.4112656316077620000000000000000E-16 " " relative error = 1.6241450950815683000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.200000000000017 " " y[1] (analytic) = 1.49955768204774500E-2 " " y[1] (numeric) = 1.499557682047770000E-2 " " absolute error = 2.4806545706468341000000000000000E-16 " " relative error = 1.6542575189634162000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.190000000000017 " " y[1] (analytic) = 1.514628487304672300E-2 " " y[1] (numeric) = 1.514628487304697500E-2 " " absolute error = 2.53269627492613840000000000000000E-16 " " relative error = 1.6721567672566020000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.1800000000000175 " " y[1] (analytic) = 1.529850756672524500E-2 " " y[1] (numeric) = 1.529850756672550500E-2 " " absolute error = 2.60208521396521060000000000000000E-16 " " relative error = 1.7008752014639852000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.170000000000018 " " y[1] (analytic) = 1.545226012390924200E-2 " " y[1] (numeric) = 1.545226012390950600E-2 " " absolute error = 2.6541269182445150000000000000000E-16 " " relative error = 1.7176302346462516000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.160000000000018 " " y[1] (analytic) = 1.560755791998255400E-2 " " y[1] (numeric) = 1.560755791998282600E-2 " " absolute error = 2.7235158572835870000000000000000E-16 " " relative error = 1.7449980780123425000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.150000000000018 " " y[1] (analytic) = 1.576441648485420500E-2 " " y[1] (numeric) = 1.576441648485448200E-2 " " absolute error = 2.77555756156289140000000000000000E-16 " " relative error = 1.7606471918764208000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.140000000000018 " " y[1] (analytic) = 1.5922851504511398E-2 " " y[1] (numeric) = 1.592285150451168400E-2 " " absolute error = 2.84494650060196360000000000000000E-16 " " relative error = 1.7867066710983950000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.1300000000000185 " " y[1] (analytic) = 1.60828788225881310E-2 " " y[1] (numeric) = 1.608287882258842300E-2 " " absolute error = 2.9143354396410360000000000000000E-16 " " relative error = 1.8120732437204595000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.120000000000019 " " y[1] (analytic) = 1.62445144419495700E-2 " " y[1] (numeric) = 1.624451444194986400E-2 " " absolute error = 2.9490299091605720000000000000000E-16 " " relative error = 1.8154004662306467000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.110000000000019 " " y[1] (analytic) = 1.64077745262923400E-2 " " y[1] (numeric) = 1.64077745262926400E-2 " " absolute error = 3.01841884819964430000000000000000E-16 " " relative error = 1.839627210480516000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.100000000000020 " " y[1] (analytic) = 1.65726754017609280E-2 " " y[1] (numeric) = 1.657267540176124000E-2 " " absolute error = 3.08780778723871660000000000000000E-16 " " relative error = 1.863192099273616200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.090000000000020 " " y[1] (analytic) = 1.673923355858030800E-2 " " y[1] (numeric) = 1.67392335585806180E-2 " " absolute error = 3.1225022567582530000000000000000E-16 " " relative error = 1.8653794666469065000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.08000000000002 " " y[1] (analytic) = 1.690746565270494500E-2 " " y[1] (numeric) = 1.69074656527052670E-2 " " absolute error = 3.2265856653168610000000000000000E-16 " " relative error = 1.9083792518606446000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.4000002 " " Order of pole (six term test) = -146601550370145.6 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.07000000000002 " " y[1] (analytic) = 1.70773885074844600E-2 " " y[1] (numeric) = 1.70773885074847900E-2 " " absolute error = 3.29597460435593350000000000000000E-16 " " relative error = 1.9300226161110148000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.06000000000002 " " y[1] (analytic) = 1.724901911534593000E-2 " " y[1] (numeric) = 1.72490191153462620E-2 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 1.930932449899296000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.05000000000002 " " y[1] (analytic) = 1.742237463949315700E-2 " " y[1] (numeric) = 1.7422374639493501E-2 " " absolute error = 3.4347524824340780000000000000000E-16 " " relative error = 1.971460580722537000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999981 " " Order of pole (six term test) = -10.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.0400000000000205 " " y[1] (analytic) = 1.759747241562303300E-2 " " y[1] (numeric) = 1.759747241562338300E-2 " " absolute error = 3.50414142147315030000000000000000E-16 " " relative error = 1.9912754165548086000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.030000000000020 " " y[1] (analytic) = 1.77743299536590800E-2 " " y[1] (numeric) = 1.777432995365943500E-2 " " absolute error = 3.53883589099268650000000000000000E-16 " " relative error = 1.990981319812942000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.020000000000021 " " y[1] (analytic) = 1.79529649395024800E-2 " " y[1] (numeric) = 1.795296493950284700E-2 " " absolute error = 3.6429192995512950000000000000000E-16 " " relative error = 2.029146334227871000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.010000000000021 " " y[1] (analytic) = 1.81333952368006900E-2 " " y[1] (numeric) = 1.81333952368010610E-2 " " absolute error = 3.7123082385903670000000000000000E-16 " " relative error = 2.0472218192522762000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.000000000000021 " " y[1] (analytic) = 1.83156388887337900E-2 " " y[1] (numeric) = 1.831563888873416800E-2 " " absolute error = 3.78169717762943950000000000000000E-16 " " relative error = 2.0647366988413465000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.9900000000000215 " " y[1] (analytic) = 1.849971411981884700E-2 " " y[1] (numeric) = 1.84997141198192330E-2 " " absolute error = 3.85108611666851200000000000000000E-16 " " relative error = 2.081700339651639000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -219902325555212.2 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.9800000000000217 " " y[1] (analytic) = 1.868563933773236800E-2 " " y[1] (numeric) = 1.86856393377327600E-2 " " absolute error = 3.9204750557075840000000000000000E-16 " " relative error = 2.0981219774433263000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.970000000000022 " " y[1] (analytic) = 1.887343313515107700E-2 " " y[1] (numeric) = 1.887343313515147400E-2 " " absolute error = 3.98986399474665630000000000000000E-16 " " relative error = 2.1140107187577237000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.960000000000022 " " y[1] (analytic) = 1.906311429161121300E-2 " " y[1] (numeric) = 1.906311429161162100E-2 " " absolute error = 4.09394740330526500000000000000000E-16 " " relative error = 2.147575333536567200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -219902325555212.2 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.9500000000000224 " " y[1] (analytic) = 1.925470177538649300E-2 " " y[1] (numeric) = 1.92547017753869100E-2 " " absolute error = 4.1633363423443370000000000000000E-16 " " relative error = 2.1622440019644334000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.9400000000000226 " " y[1] (analytic) = 1.94482147453849500E-2 " " y[1] (numeric) = 1.944821474538537800E-2 " " absolute error = 4.26741975090294550000000000000000E-16 " " relative error = 2.194247547536774300000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.930000000000023 " " y[1] (analytic) = 1.964367255306484500E-2 " " y[1] (numeric) = 1.964367255306528300E-2 " " absolute error = 4.3715031594615540000000000000000E-16 " " relative error = 2.2254001371955792000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999981 " " Order of pole (six term test) = -10.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.920000000000023 " " y[1] (analytic) = 1.98410947443698300E-2 " " y[1] (numeric) = 1.984109474437027500E-2 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.2382293697583333000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.9100000000000232 " " y[1] (analytic) = 2.00405010616835500E-2 " " y[1] (numeric) = 2.004050106168400500E-2 " " absolute error = 4.5449755070592346000000000000000E-16 " " relative error = 2.2678951454706905000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.9000000000000234 " " y[1] (analytic) = 2.024191144580391200E-2 " " y[1] (numeric) = 2.024191144580437300E-2 " " absolute error = 4.6143644460983070000000000000000E-16 " " relative error = 2.279609047027449000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.8900000000000237 " " y[1] (analytic) = 2.044534603793717300E-2 " " y[1] (numeric) = 2.044534603793764200E-2 " " absolute error = 4.6837533851373790000000000000000E-16 " " relative error = 2.2908653032560483000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.880000000000024 " " y[1] (analytic) = 2.06508251817120700E-2 " " y[1] (numeric) = 2.06508251817125480E-2 " " absolute error = 4.7878367936959876000000000000000E-16 " " relative error = 2.3184723862443973000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.870000000000024 " " y[1] (analytic) = 2.085836942521421500E-2 " " y[1] (numeric) = 2.085836942521470700E-2 " " absolute error = 4.8919202022545960000000000000000E-16 " " relative error = 2.345303270130549000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.8600000000000243 " " y[1] (analytic) = 2.106799952304091700E-2 " " y[1] (numeric) = 2.106799952304141700E-2 " " absolute error = 4.9960036108132044000000000000000E-16 " " relative error = 2.3713706682731547000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.8500000000000245 " " y[1] (analytic) = 2.127973643837664800E-2 " " y[1] (numeric) = 2.127973643837715600E-2 " " absolute error = 5.0653925498522770000000000000000E-16 " " relative error = 2.380383123879845000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.8400000000000247 " " y[1] (analytic) = 2.14936013450893900E-2 " " y[1] (numeric) = 2.149360134508990500E-2 " " absolute error = 5.1694759584108850000000000000000E-16 " " relative error = 2.4051232157015637000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.830000000000025 " " y[1] (analytic) = 2.17096156298480280E-2 " " y[1] (numeric) = 2.170961562984855500E-2 " " absolute error = 5.2735593669694940000000000000000E-16 " " relative error = 2.4291352997143822000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.820000000000025 " " y[1] (analytic) = 2.192780089426106500E-2 " " y[1] (numeric) = 2.1927800894261600E-2 " " absolute error = 5.3429483060085660000000000000000E-16 " " relative error = 2.4366092759474664000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.8100000000000254 " " y[1] (analytic) = 2.214817895703675200E-2 " " y[1] (numeric) = 2.214817895703729800E-2 " " absolute error = 5.4470317145671740000000000000000E-16 " " relative error = 2.459358724314707000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.8000000000000256 " " y[1] (analytic) = 2.237077185616502300E-2 " " y[1] (numeric) = 2.237077185616557800E-2 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 2.4814142126240427000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.790000000000026 " " y[1] (analytic) = 2.25956018511212800E-2 " " y[1] (numeric) = 2.259560185112184600E-2 " " absolute error = 5.6551985316843910000000000000000E-16 " " relative error = 2.502787298583843000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.780000000000026 " " y[1] (analytic) = 2.282269142509238400E-2 " " y[1] (numeric) = 2.282269142509295600E-2 " " absolute error = 5.7245874707234630000000000000000E-16 " " relative error = 2.508287635361696000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.770000000000026 " " y[1] (analytic) = 2.305206328722496600E-2 " " y[1] (numeric) = 2.30520632872255500E-2 " " absolute error = 5.8286708792820720000000000000000E-16 " " relative error = 2.5284812065010315000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.7600000000000264 " " y[1] (analytic) = 2.32837403748963900E-2 " " y[1] (numeric) = 2.328374037489698300E-2 " " absolute error = 5.932754287840680000000000000000E-16 " " relative error = 2.5480245838152116000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.7500000000000266 " " y[1] (analytic) = 2.351774585600848200E-2 " " y[1] (numeric) = 2.351774585600908700E-2 " " absolute error = 6.0368376963992890000000000000000E-16 " " relative error = 2.566928707096711000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.740000000000027 " " y[1] (analytic) = 2.375410313130436000E-2 " " y[1] (numeric) = 2.37541031313049800E-2 " " absolute error = 6.1756155744774330000000000000000E-16 " " relative error = 2.599810037171596500000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.730000000000027 " " y[1] (analytic) = 2.399283583670852600E-2 " " y[1] (numeric) = 2.399283583670915300E-2 " " absolute error = 6.2796989830360420000000000000000E-16 " " relative error = 2.6173225315151100000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.7200000000000273 " " y[1] (analytic) = 2.423396784569045700E-2 " " y[1] (numeric) = 2.423396784569109600E-2 " " absolute error = 6.383782391594650000000000000000E-16 " " relative error = 2.634229125103788000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.7100000000000275 " " y[1] (analytic) = 2.447752327165199600E-2 " " y[1] (numeric) = 2.447752327165264600E-2 " " absolute error = 6.4878658001532590000000000000000E-16 " " relative error = 2.650540141725454000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.7000000000000277 " " y[1] (analytic) = 2.472352647033870500E-2 " " y[1] (numeric) = 2.472352647033937000E-2 " " absolute error = 6.6266436782314030000000000000000E-16 " " relative error = 2.680298737391495000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.690000000000028 " " y[1] (analytic) = 2.497200204227545700E-2 " " y[1] (numeric) = 2.49720020422761300E-2 " " absolute error = 6.7307270867900120000000000000000E-16 " " relative error = 2.695309361017778000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.680000000000028 " " y[1] (analytic) = 2.522297483522650000E-2 " " y[1] (numeric) = 2.52229748352271900E-2 " " absolute error = 6.8695049648681560000000000000000E-16 " " relative error = 2.7235110092066456000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.6700000000000284 " " y[1] (analytic) = 2.54764699466802900E-2 " " y[1] (numeric) = 2.547646994668099000E-2 " " absolute error = 7.0082828429463010000000000000000E-16 " " relative error = 2.750884583937232000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.6600000000000286 " " y[1] (analytic) = 2.57325127263592130E-2 " " y[1] (numeric) = 2.573251272635992400E-2 " " absolute error = 7.1123662515049090000000000000000E-16 " " relative error = 2.763961035262338000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.6500000000000288 " " y[1] (analytic) = 2.599112877875459600E-2 " " y[1] (numeric) = 2.59911287787553200E-2 " " absolute error = 7.2511441295830540000000000000000E-16 " " relative error = 2.7898534885911574000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.640000000000029 " " y[1] (analytic) = 2.6252343965687200E-2 " " y[1] (numeric) = 2.62523439656879400E-2 " " absolute error = 7.3899220076611980000000000000000E-16 " " relative error = 2.8149570252927140000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.630000000000029 " " y[1] (analytic) = 2.651618440889340600E-2 " " y[1] (numeric) = 2.651618440889415600E-2 " " absolute error = 7.5286998857393430000000000000000E-16 " " relative error = 2.839284781566933000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.6200000000000294 " " y[1] (analytic) = 2.67826764926373900E-2 " " y[1] (numeric) = 2.678267649263815000E-2 " " absolute error = 7.6327832942979510000000000000000E-16 " " relative error = 2.8498956392189620000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.6100000000000296 " " y[1] (analytic) = 2.70518468663496100E-2 " " y[1] (numeric) = 2.705184686635039000E-2 " " absolute error = 7.7715611723760960000000000000000E-16 " " relative error = 2.8728394075168720000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.60000000000003 " " y[1] (analytic) = 2.732372244729175000E-2 " " y[1] (numeric) = 2.732372244729253700E-2 " " absolute error = 7.910339050454240000000000000000E-16 " " relative error = 2.8950444309751400000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.59000000000003 " " y[1] (analytic) = 2.759833042324845000E-2 " " y[1] (numeric) = 2.759833042324926000E-2 " " absolute error = 8.0838113980519210000000000000000E-16 " " relative error = 2.92909435972338040000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.5800000000000303 " " y[1] (analytic) = 2.787569825524617300E-2 " " y[1] (numeric) = 2.787569825524700000E-2 " " absolute error = 8.2225892761300660000000000000000E-16 " " relative error = 2.9497339226588104000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.5700000000000305 " " y[1] (analytic) = 2.815585368029925000E-2 " " y[1] (numeric) = 2.81558536803000800E-2 " " absolute error = 8.361367154208210000000000000000E-16 " " relative error = 2.9696727540741163000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999975 " " Order of pole (six term test) = -219902325555211.5 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.5600000000000307 " " y[1] (analytic) = 2.843882471418363600E-2 " " y[1] (numeric) = 2.843882471418448500E-2 " " absolute error = 8.5348395018058910000000000000000E-16 " " relative error = 3.0011224400385320000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.550000000000031 " " y[1] (analytic) = 2.87246396542385430E-2 " " y[1] (numeric) = 2.87246396542394100E-2 " " absolute error = 8.6736173798840350000000000000000E-16 " " relative error = 3.0195739561189505000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.540000000000031 " " y[1] (analytic) = 2.90133270821961500E-2 " " y[1] (numeric) = 2.901332708219704000E-2 " " absolute error = 8.8470897274817160000000000000000E-16 " " relative error = 3.049319267113863000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.5300000000000313 " " y[1] (analytic) = 2.930491586703984000E-2 " " y[1] (numeric) = 2.930491586704074000E-2 " " absolute error = 8.985867605559861000000000000000E-16 " " relative error = 3.066334551626046000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.5200000000000315 " " y[1] (analytic) = 2.959943516789106400E-2 " " y[1] (numeric) = 2.959943516789198000E-2 " " absolute error = 9.1593399531575410000000000000000E-16 " " relative error = 3.0944306542353983000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.5100000000000318 " " y[1] (analytic) = 2.989691443692536500E-2 " " y[1] (numeric) = 2.989691443692630000E-2 " " absolute error = 9.3328123007552220000000000000000E-16 " " relative error = 3.1216640501296560000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999981 " " Order of pole (six term test) = -10.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.500000000000032 " " y[1] (analytic) = 3.019738342231753600E-2 " " y[1] (numeric) = 3.019738342231848600E-2 " " absolute error = 9.4715901788333670000000000000000E-16 " " relative error = 3.1365598953958834000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.490000000000032 " " y[1] (analytic) = 3.050087217121651000E-2 " " y[1] (numeric) = 3.050087217121747500E-2 " " absolute error = 9.6450625264310470000000000000000E-16 " " relative error = 3.162225156149152700000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.4800000000000324 " " y[1] (analytic) = 3.080741103275007600E-2 " " y[1] (numeric) = 3.08074110327510600E-2 " " absolute error = 9.8185348740287280000000000000000E-16 " " relative error = 3.187069132031592000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.4 " " Order of pole (six term test) = -10. " " " " "TOP MAIN SOLVE Loop" x[1] = -3.4700000000000326 " " y[1] (analytic) = 3.111703066105985000E-2 " " y[1] (numeric) = 3.11170306610608500E-2 " " absolute error = 9.9573127521068730000000000000000E-16 " " relative error = 3.199955953563252000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.460000000000033 " " y[1] (analytic) = 3.142976201836667500E-2 " " y[1] (numeric) = 3.14297620183676900E-2 " " absolute error = 1.0130785099704553000000000000000E-15 " " relative error = 3.2233095159245580000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.450000000000033 " " y[1] (analytic) = 3.17456363780668900E-2 " " y[1] (numeric) = 3.174563637806792600E-2 " " absolute error = 1.033895191682177000000000000000E-15 " " relative error = 3.25681041441178000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.4400000000000333 " " y[1] (analytic) = 3.2064685327859700E-2 " " y[1] (numeric) = 3.20646853278607500E-2 " " absolute error = 1.0477729794899915000000000000000E-15 " " relative error = 3.2676852081240426000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.4300000000000335 " " y[1] (analytic) = 3.23869407729059600E-2 " " y[1] (numeric) = 3.23869407729070200E-2 " " absolute error = 1.061650767297806000000000000000E-15 " " relative error = 3.278021146677596600000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.4200000000000337 " " y[1] (analytic) = 3.27124349390187100E-2 " " y[1] (numeric) = 3.27124349390197900E-2 " " absolute error = 1.0824674490095276000000000000000E-15 " " relative error = 3.3090396695550870000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.410000000000034 " " y[1] (analytic) = 3.30412003758858200E-2 " " y[1] (numeric) = 3.30412003758869200E-2 " " absolute error = 1.096345236817342100000000000000E-15 " " relative error = 3.3181156384907806000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.400000000000034 " " y[1] (analytic) = 3.33732699603249400E-2 " " y[1] (numeric) = 3.33732699603260600E-2 " " absolute error = 1.1171619185290638000000000000000E-15 " " relative error = 3.3474751495948000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.3900000000000343 " " y[1] (analytic) = 3.370867689957124400E-2 " " y[1] (numeric) = 3.37086768995723800E-2 " " absolute error = 1.1379786002407855000000000000000E-15 " " relative error = 3.3759218839445460000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 185977539.33796808 " " Order of pole (six term test) = -219902325555212. " " " " "TOP MAIN SOLVE Loop" x[1] = -3.3800000000000345 " " y[1] (analytic) = 3.404745473459816500E-2 " " y[1] (numeric) = 3.404745473459932500E-2 " " absolute error = 1.1587952819525071000000000000000E-15 " " relative error = 3.403471099338796000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 67909395.65647277 " " Order of pole (six term test) = 43980465111028.66 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.3700000000000347 " " y[1] (analytic) = 3.43896373434715240E-2 " " y[1] (numeric) = 3.438963734347269500E-2 " " absolute error = 1.1726730697603216000000000000000E-15 " " relative error = 3.409960558897665000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.360000000000035 " " y[1] (analytic) = 3.47352589447373460E-2 " " y[1] (numeric) = 3.47352589447385450E-2 " " absolute error = 1.1934897514720433000000000000000E-15 " " relative error = 3.4359604267549754000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.350000000000035 " " y[1] (analytic) = 3.50843541008437900E-2 " " y[1] (numeric) = 3.50843541008450100E-2 " " absolute error = 1.2212453270876722000000000000000E-15 " " relative error = 3.4808830271676594000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.3400000000000354 " " y[1] (analytic) = 3.543695772159738400E-2 " " y[1] (numeric) = 3.54369577215986160E-2 " " absolute error = 1.2351231148954867000000000000000E-15 " " relative error = 3.4854095676015930000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.3300000000000356 " " y[1] (analytic) = 3.57931050676540300E-2 " " y[1] (numeric) = 3.57931050676552840E-2 " " absolute error = 1.2559397966072083000000000000000E-15 " " relative error = 3.508887519630679000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.320000000000036 " " y[1] (analytic) = 3.61528317540451200E-2 " " y[1] (numeric) = 3.6152831754046400E-2 " " absolute error = 1.27675647831893000000000000000E-15 " " relative error = 3.5315531768160163000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.310000000000036 " " y[1] (analytic) = 3.651617375373908400E-2 " " y[1] (numeric) = 3.65161737537403830E-2 " " absolute error = 1.2975731600306517000000000000000E-15 " " relative error = 3.5534203796414630000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -219902325555212.2 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.3000000000000362 " " y[1] (analytic) = 3.68831674012386700E-2 " " y[1] (numeric) = 3.68831674012399860E-2 " " absolute error = 1.3183898417423734000000000000000E-15 " " relative error = 3.5745027735825563000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.2900000000000365 " " y[1] (analytic) = 3.72538493962144500E-2 " " y[1] (numeric) = 3.72538493962157900E-2 " " absolute error = 1.339206523454095000000000000000E-15 " " relative error = 3.594813811616951000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.2800000000000367 " " y[1] (analytic) = 3.76282568071748300E-2 " " y[1] (numeric) = 3.76282568071761900E-2 " " absolute error = 1.3600232051658168000000000000000E-15 " " relative error = 3.614366756704212000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.270000000000037 " " y[1] (analytic) = 3.80064270751729100E-2 " " y[1] (numeric) = 3.8006427075174300E-2 " " absolute error = 1.3877787807814457000000000000000E-15 " " relative error = 3.651431843452577000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.260000000000037 " " y[1] (analytic) = 3.83883980175506400E-2 " " y[1] (numeric) = 3.83883980175520500E-2 " " absolute error = 1.4085954624931674000000000000000E-15 " " relative error = 3.669325981899993000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.2500000000000373 " " y[1] (analytic) = 3.877420783172056400E-2 " " y[1] (numeric) = 3.87742078317219850E-2 " " absolute error = 1.4224732503009818000000000000000E-15 " " relative error = 3.668606864837814000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.2400000000000375 " " y[1] (analytic) = 3.9163895098985600E-2 " " y[1] (numeric) = 3.91638950989870500E-2 " " absolute error = 1.4502288259166107000000000000000E-15 " " relative error = 3.702973931094442600000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.2300000000000377 " " y[1] (analytic) = 3.95574987883972330E-2 " " y[1] (numeric) = 3.955749878839870400E-2 " " absolute error = 1.4710455076283324000000000000000E-15 " " relative error = 3.718752582152162000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999975 " " Order of pole (six term test) = -11. " " " " "TOP MAIN SOLVE Loop" x[1] = -3.220000000000038 " " y[1] (analytic) = 3.99550582606523900E-2 " " y[1] (numeric) = 3.99550582606538860E-2 " " absolute error = 1.4988010832439613000000000000000E-15 " " relative error = 3.7512173639350590000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.210000000000038 " " y[1] (analytic) = 4.03566132720296070E-2 " " y[1] (numeric) = 4.03566132720311330E-2 " " absolute error = 1.5265566588595902000000000000000E-15 " " relative error = 3.782667907660174000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.2000000000000384 " " y[1] (analytic) = 4.07622039783646530E-2 " " y[1] (numeric) = 4.0762203978366196E-2 " " absolute error = 1.547373340571312000000000000000E-15 " " relative error = 3.796098320376913300000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.1900000000000386 " " y[1] (analytic) = 4.117187093906614600E-2 " " y[1] (numeric) = 4.11718709390677200E-2 " " absolute error = 1.5751289161869408000000000000000E-15 " " relative error = 3.825740439432816000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.180000000000039 " " y[1] (analytic) = 4.15856551211715600E-2 " " y[1] (numeric) = 4.158565512117315400E-2 " " absolute error = 1.5959455978986625000000000000000E-15 " " relative error = 3.837731047517285000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.170000000000039 " " y[1] (analytic) = 4.200359790344391000E-2 " " y[1] (numeric) = 4.20035979034455330E-2 " " absolute error = 1.6167622796103842000000000000000E-15 " " relative error = 3.849104267988967000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.160000000000039 " " y[1] (analytic) = 4.24257410805097270E-2 " " y[1] (numeric) = 4.24257410805113700E-2 " " absolute error = 1.6445178552260130000000000000000E-15 " " relative error = 3.876226586367163000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -219902325555212.2 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.1500000000000394 " " y[1] (analytic) = 4.28521268670384870E-2 " " y[1] (numeric) = 4.285212686704016300E-2 " " absolute error = 1.6792123247455493000000000000000E-15 " " relative error = 3.9186207255378636000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.1400000000000396 " " y[1] (analytic) = 4.32827979019641800E-2 " " y[1] (numeric) = 4.32827979019658860E-2 " " absolute error = 1.7069679003611782000000000000000E-15 " " relative error = 3.943755910205878000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.13000000000004 " " y[1] (analytic) = 4.37177972527491900E-2 " " y[1] (numeric) = 4.37177972527509300E-2 " " absolute error = 1.734723475976807000000000000000E-15 " " relative error = 3.968002930128688000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.12000000000004 " " y[1] (analytic) = 4.4157168419691095E-2 " " y[1] (numeric) = 4.41571684196928600E-2 " " absolute error = 1.762479051592436000000000000000E-15 " " relative error = 3.991376971550762000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.1100000000000403 " " y[1] (analytic) = 4.46009553402727300E-2 " " y[1] (numeric) = 4.46009553402745230E-2 " " absolute error = 1.790234627208065000000000000000E-15 " " relative error = 4.013893006438722400000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.1000000000000405 " " y[1] (analytic) = 4.50492023935559800E-2 " " y[1] (numeric) = 4.5049202393557800E-2 " " absolute error = 1.817990202823693800000000000000E-15 " " relative error = 4.035565795242018000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.0900000000000407 " " y[1] (analytic) = 4.55019544046197100E-2 " " y[1] (numeric) = 4.55019544046215640E-2 " " absolute error = 1.85268467234323000000000000000E-15 " " relative error = 4.071659550859053000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.080000000000041 " " y[1] (analytic) = 4.59592566490423300E-2 " " y[1] (numeric) = 4.595925664904420600E-2 " " absolute error = 1.8735013540549517000000000000000E-15 " " relative error = 4.076439635134939000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.070000000000041 " " y[1] (analytic) = 4.642115485742936000E-2 " " y[1] (numeric) = 4.64211548574312570E-2 " " absolute error = 1.9012569296705806000000000000000E-15 " " relative error = 4.095669173913924500000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.0600000000000414 " " y[1] (analytic) = 4.68876952199865470E-2 " " y[1] (numeric) = 4.68876952199884800E-2 " " absolute error = 1.9290125052862095000000000000000E-15 " " relative error = 4.114112447275805600000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.0500000000000416 " " y[1] (analytic) = 4.73589243911389500E-2 " " y[1] (numeric) = 4.73589243911409100E-2 " " absolute error = 1.9567680809018384000000000000000E-15 " " relative error = 4.131783198327785000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.040000000000042 " " y[1] (analytic) = 4.78348894941963700E-2 " " y[1] (numeric) = 4.783488949419835000E-2 " " absolute error = 1.9845236565174673000000000000000E-15 " " relative error = 4.148694974529505400000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.030000000000042 " " y[1] (analytic) = 4.83156381260657500E-2 " " y[1] (numeric) = 4.83156381260677600E-2 " " absolute error = 2.0122792321330962000000000000000E-15 " " relative error = 4.164861130225855400000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999995 " " Order of pole (six term test) = -146601550370145.25 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.020000000000042 " " y[1] (analytic) = 4.8801218362010900E-2 " " y[1] (numeric) = 4.88012183620129440E-2 " " absolute error = 2.040034807748725100000000000000E-15 " " relative error = 4.180294829148736000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.0100000000000424 " " y[1] (analytic) = 4.92916787604600670E-2 " " y[1] (numeric) = 4.92916787604621430E-2 " " absolute error = 2.0747292772682613000000000000000E-15 " " relative error = 4.209086258454907700000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.0000000000000426 " " y[1] (analytic) = 4.97870683678618200E-2 " " y[1] (numeric) = 4.978706836786392400E-2 " " absolute error = 2.1024848528838902000000000000000E-15 " " relative error = 4.222953714304397000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.990000000000043 " " y[1] (analytic) = 5.02874367235897200E-2 " " y[1] (numeric) = 5.02874367235918600E-2 " " absolute error = 2.1371793224034263000000000000000E-15 " " relative error = 4.2499269432853803000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.980000000000043 " " y[1] (analytic) = 5.07928338648963100E-2 " " y[1] (numeric) = 5.07928338648984800E-2 " " absolute error = 2.1649348980190553000000000000000E-15 " " relative error = 4.262284132004837700000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.9700000000000433 " " y[1] (analytic) = 5.1303310331916910E-2 " " y[1] (numeric) = 5.1303310331919100E-2 " " absolute error = 2.1996293675385914000000000000000E-15 " " relative error = 4.287499877313285500000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.9600000000000435 " " y[1] (analytic) = 5.18189171727235800E-2 " " y[1] (numeric) = 5.18189171727258100E-2 " " absolute error = 2.2343238370581275000000000000000E-15 " " relative error = 4.311791830019617000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.9500000000000437 " " y[1] (analytic) = 5.233970594843010000E-2 " " y[1] (numeric) = 5.233970594843238000E-2 " " absolute error = 2.2690183065776637000000000000000E-15 " " relative error = 4.335175877398526600000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.940000000000044 " " y[1] (analytic) = 5.28657287383480400E-2 " " y[1] (numeric) = 5.28657287383503500E-2 " " absolute error = 2.3037127760971998000000000000E-15 " " relative error = 4.357667682023494400000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.930000000000044 " " y[1] (analytic) = 5.33970381451947300E-2 " " y[1] (numeric) = 5.33970381451970700E-2 " " absolute error = 2.338407245616736000000000000000E-15 " " relative error = 4.379282684665483000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.9200000000000443 " " y[1] (analytic) = 5.393368730035363000E-2 " " y[1] (numeric) = 5.393368730035599E-2 " " absolute error = 2.373101715136272000000000000000E-15 " " relative error = 4.40003610715619050000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.9100000000000446 " " y[1] (analytic) = 5.44757298691874400E-2 " " y[1] (numeric) = 5.447572986918985000E-2 " " absolute error = 2.4077961846558082000000000000000E-15 " " relative error = 4.419942955216293300000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.9000000000000448 " " y[1] (analytic) = 5.50232200564047600E-2 " " y[1] (numeric) = 5.50232200564072100E-2 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 4.4390180212490776000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 75925012.49940124 " " Order of pole (six term test) = -164926744166412. " " " " "TOP MAIN SOLVE Loop" x[1] = -2.890000000000045 " " y[1] (analytic) = 5.55762126114805700E-2 " " y[1] (numeric) = 5.55762126114830600E-2 " " absolute error = 2.4841240175987878000000000000000E-15 " " relative error = 4.4697612537304027000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.880000000000045 " " y[1] (analytic) = 5.613476283413119000E-2 " " y[1] (numeric) = 5.613476283413370000E-2 " " absolute error = 2.518818487118324000000000000000E-15 " " relative error = 4.487092061938535700000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.8700000000000454 " " y[1] (analytic) = 5.669892657984433000E-2 " " y[1] (numeric) = 5.669892657984690000E-2 " " absolute error = 2.5604518505417670000000000000000E-15 " " relative error = 4.515873588781435000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.8600000000000456 " " y[1] (analytic) = 5.72687602654647500E-2 " " y[1] (numeric) = 5.72687602654673300E-2 " " absolute error = 2.5951463200613034000000000000000E-15 " " relative error = 4.531521737211895000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.850000000000046 " " y[1] (analytic) = 5.78443208748358100E-2 " " y[1] (numeric) = 5.78443208748384500E-2 " " absolute error = 2.6367796834847470000000000000000E-15 " " relative error = 4.5584071929727390000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.840000000000046 " " y[1] (analytic) = 5.84256659644981300E-2 " " y[1] (numeric) = 5.84256659645008100E-2 " " absolute error = 2.67841304690819000000000000000E-15 " " relative error = 4.58430897225152000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -11.65625 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.8300000000000463 " " y[1] (analytic) = 5.901285366944511000E-2 " " y[1] (numeric) = 5.901285366944784000E-2 " " absolute error = 2.7200464103316335000000000000000E-15 " " relative error = 4.6092439887210246000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 90747747.10335568 " " Order of pole (six term test) = -31414617936468.36 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.8200000000000465 " " y[1] (analytic) = 5.960594270893659000E-2 " " y[1] (numeric) = 5.96059427089393500E-2 " " absolute error = 2.761679773755077000000000000000E-15 " " relative error = 4.633228916856011000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999981 " " Order of pole (six term test) = -10.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.8100000000000467 " " y[1] (analytic) = 6.02049923923707400E-2 " " y[1] (numeric) = 6.020499239237354000E-2 " " absolute error = 2.8033131371785200000000000000000E-15 " " relative error = 4.656280195018777700000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.800000000000047 " " y[1] (analytic) = 6.081006262521511000E-2 " " y[1] (numeric) = 6.08100626252179500E-2 " " absolute error = 2.8449465006019636000000000000000E-15 " " relative error = 4.678414028507012500000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.790000000000047 " " y[1] (analytic) = 6.14212139149972300E-2 " " y[1] (numeric) = 6.14212139150001200E-2 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 4.699646392564361000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.7800000000000473 " " y[1] (analytic) = 6.203850737735538000E-2 " " y[1] (numeric) = 6.2038507377358300E-2 " " absolute error = 2.921274333544943000000000000000E-15 " " relative error = 4.708808217734837000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.7700000000000475 " " y[1] (analytic) = 6.26620047421501700E-2 " " y[1] (numeric) = 6.26620047421531300E-2 " " absolute error = 2.9698465908722940000000000000000E-15 " " relative error = 4.73946948089676970000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.7600000000000477 " " y[1] (analytic) = 6.3291768359637700E-2 " " y[1] (numeric) = 6.3291768359640700E-2 " " absolute error = 2.9976021664879227000000000000000E-15 " " relative error = 4.736164345187655000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.750000000000048 " " y[1] (analytic) = 6.3927861206704510E-2 " " y[1] (numeric) = 6.39278612067075600E-2 " " absolute error = 3.0531133177191805000000000000000E-15 " " relative error = 4.775872772979588000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.740000000000048 " " y[1] (analytic) = 6.45703468931653800E-2 " " y[1] (numeric) = 6.45703468931684700E-2 " " absolute error = 3.094746681142624000000000000000E-15 " " relative error = 4.79282957278056030000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999981 " " Order of pole (six term test) = -10.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.7300000000000484 " " y[1] (analytic) = 6.52192896681243800E-2 " " y[1] (numeric) = 6.52192896681275100E-2 " " absolute error = 3.1363800445660670000000000000000E-15 " " relative error = 4.808976087482532700000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999975 " " Order of pole (six term test) = -219902325555211.5 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.7200000000000486 " " y[1] (analytic) = 6.58747544263997600E-2 " " y[1] (numeric) = 6.58747544264029500E-2 " " absolute error = 3.191891195797325000000000000000E-15 " " relative error = 4.845393692303698300000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999975 " " Order of pole (six term test) = -219902325555211.5 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.710000000000049 " " y[1] (analytic) = 6.65368067150136100E-2 " " y[1] (numeric) = 6.65368067150168400E-2 " " absolute error = 3.2335245592207684000000000000000E-15 " " relative error = 4.859753148464734000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.700000000000049 " " y[1] (analytic) = 6.72055127397464600E-2 " " y[1] (numeric) = 6.72055127397497500E-2 " " absolute error = 3.2890357104520260000000000000000E-15 " " relative error = 4.893996900505508000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.6900000000000492 " " y[1] (analytic) = 6.7880939371758100E-2 " " y[1] (numeric) = 6.78809393717614300E-2 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 4.906633739457643000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.6800000000000495 " " y[1] (analytic) = 6.85631541542745200E-2 " " y[1] (numeric) = 6.85631541542779200E-2 " " absolute error = 3.3861802251067274000000000000000E-15 " " relative error = 4.938775449985068300000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999975 " " Order of pole (six term test) = -11. " " " " "TOP MAIN SOLVE Loop" x[1] = -2.6700000000000497 " " y[1] (analytic) = 6.92522253093425400E-2 " " y[1] (numeric) = 6.92522253093459800E-2 " " absolute error = 3.4416913763379850000000000000000E-15 " " relative error = 4.969791744545833000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.66000000000005 " " y[1] (analytic) = 6.99482217446518700E-2 " " y[1] (numeric) = 6.99482217446553600E-2 " " absolute error = 3.4833247397614286000000000000000E-15 " " relative error = 4.979861750420779000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.65000000000005 " " y[1] (analytic) = 7.06512130604260400E-2 " " y[1] (numeric) = 7.06512130604295900E-2 " " absolute error = 3.5388358909926865000000000000000E-15 " " relative error = 5.008881996075591000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.6400000000000503 " " y[1] (analytic) = 7.13612695563824700E-2 " " y[1] (numeric) = 7.13612695563860500E-2 " " absolute error = 3.58046925441613000000000000000E-15 " " relative error = 5.017384467336592000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999981 " " Order of pole (six term test) = -10.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.6300000000000505 " " y[1] (analytic) = 7.20784622387624500E-2 " " y[1] (numeric) = 7.20784622387660800E-2 " " absolute error = 3.635980405647387700000000000000E-15 " " relative error = 5.044475551660736000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.6200000000000507 " " y[1] (analytic) = 7.2802862827431890E-2 " " y[1] (numeric) = 7.28028628274355900E-2 " " absolute error = 3.6914915568786455000000000000000E-15 " " relative error = 5.070530764193661000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.610000000000051 " " y[1] (analytic) = 7.35345437630533400E-2 " " y[1] (numeric) = 7.35345437630570800E-2 " " absolute error = 3.747002708109903300000000000000E-15 " " relative error = 5.095568036953737000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.600000000000051 " " y[1] (analytic) = 7.42735782143300700E-2 " " y[1] (numeric) = 7.42735782143338800E-2 " " absolute error = 3.802513859341161000000000000000E-15 " " relative error = 5.119605047663528000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999959 " " Order of pole (six term test) = -11.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.5900000000000514 " " y[1] (analytic) = 7.5020040085323100E-2 " " y[1] (numeric) = 7.50200400853269400E-2 " " absolute error = 3.8441472227646045000000000000000E-15 " " relative error = 5.124160448851416000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.5800000000000516 " " y[1] (analytic) = 7.57740040228415700E-2 " " y[1] (numeric) = 7.57740040228454600E-2 " " absolute error = 3.899658373995862300000000000000E-15 " " relative error = 5.1464330337094710000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.570000000000052 " " y[1] (analytic) = 7.65355454239075300E-2 " " y[1] (numeric) = 7.65355454239114900E-2 " " absolute error = 3.95516952522712000000000000000E-15 " " relative error = 5.167755065075472000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.560000000000052 " " y[1] (analytic) = 7.73047404432957300E-2 " " y[1] (numeric) = 7.73047404432997200E-2 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 5.170191201382123000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.5500000000000522 " " y[1] (analytic) = 7.80816660011490700E-2 " " y[1] (numeric) = 7.80816660011531300E-2 " " absolute error = 4.052314039881821400000000000000E-15 " " relative error = 5.1898406468711700000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.5400000000000524 " " y[1] (analytic) = 7.88663997906708000E-2 " " y[1] (numeric) = 7.88663997906749100E-2 " " absolute error = 4.107825191113079000000000000000E-15 " " relative error = 5.208587182901936000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.5300000000000527 " " y[1] (analytic) = 7.96590202858938300E-2 " " y[1] (numeric) = 7.965902028589800E-2 " " absolute error = 4.163336342344337000000000000000E-15 " " relative error = 5.226446832263626000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999959 " " Order of pole (six term test) = -11.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.520000000000053 " " y[1] (analytic) = 8.04596067495281800E-2 " " y[1] (numeric) = 8.0459606749532400E-2 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 5.243435388279889000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.510000000000053 " " y[1] (analytic) = 8.12682392408873700E-2 " " y[1] (numeric) = 8.12682392408916600E-2 " " absolute error = 4.288236432614667000000000000000E-15 " " relative error = 5.2766449386258950000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.5000000000000533 " " y[1] (analytic) = 8.20849986238944100E-2 " " y[1] (numeric) = 8.20849986238987500E-2 " " absolute error = 4.343747583845925000000000000000E-15 " " relative error = 5.291767870702611000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999981 " " Order of pole (six term test) = -10.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.4900000000000535 " " y[1] (analytic) = 8.29099665751682500E-2 " " y[1] (numeric) = 8.29099665751726400E-2 " " absolute error = 4.399258735077183000000000000000E-15 " " relative error = 5.3060674329047100000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.4800000000000537 " " y[1] (analytic) = 8.37432255921914500E-2 " " y[1] (numeric) = 8.37432255921959200E-2 " " absolute error = 4.468647674116255000000000000000E-15 " " relative error = 5.336130346683147000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.470000000000054 " " y[1] (analytic) = 8.45848590015601400E-2 " " y[1] (numeric) = 8.45848590015646600E-2 " " absolute error = 4.524158825347513000000000000000E-15 " " relative error = 5.348662726108069000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.460000000000054 " " y[1] (analytic) = 8.5434950967316590E-2 " " y[1] (numeric) = 8.54349509673211900E-2 " " absolute error = 4.593547764386585000000000000000E-15 " " relative error = 5.376661088204827000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999975 " " Order of pole (six term test) = -219902325555211.5 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.4500000000000544 " " y[1] (analytic) = 8.62935864993658200E-2 " " y[1] (numeric) = 8.62935864993704800E-2 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 5.403572724909198000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.4400000000000546 " " y[1] (analytic) = 8.71608514619765400E-2 " " y[1] (numeric) = 8.71608514619812700E-2 " " absolute error = 4.73232564246473000000000000000E-15 " " relative error = 5.429416490417355000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.4 " " Order of pole (six term test) = -659706976665614. " " " " "TOP MAIN SOLVE Loop" x[1] = -2.430000000000055 " " y[1] (analytic) = 8.80368325823677300E-2 " " y[1] (numeric) = 8.80368325823725400E-2 " " absolute error = 4.801714581503802000000000000000E-15 " " relative error = 5.454210971312822000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.420000000000055 " " y[1] (analytic) = 8.89216174593814400E-2 " " y[1] (numeric) = 8.89216174593863200E-2 " " absolute error = 4.871103520542874300000000000000E-15 " " relative error = 5.477974490025385000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999975 " " Order of pole (six term test) = -219902325555211.5 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.410000000000055 " " y[1] (analytic) = 8.98152945722426900E-2 " " y[1] (numeric) = 8.98152945722476300E-2 " " absolute error = 4.9404924595819466000000000000000E-15 " " relative error = 5.5007251082476550000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -219902325555212.2 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.4000000000000554 " " y[1] (analytic) = 9.07179532894074700E-2 " " y[1] (numeric) = 9.07179532894124800E-2 " " absolute error = 5.009881398621019000000000000000E-15 " " relative error = 5.522480630309798000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.3900000000000556 " " y[1] (analytic) = 9.16296838774997600E-2 " " y[1] (numeric) = 9.16296838775048300E-2 " " absolute error = 5.079270337660091000000000000000E-15 " " relative error = 5.5432586065129240000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.380000000000056 " " y[1] (analytic) = 9.25505775103381200E-2 " " y[1] (numeric) = 9.25505775103432600E-2 " " absolute error = 5.1486592766991630000000000000000E-15 " " relative error = 5.563076336421614000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.370000000000056 " " y[1] (analytic) = 9.34807262780532400E-2 " " y[1] (numeric) = 9.34807262780584700E-2 " " absolute error = 5.23192600354605000000000000000E-15 " " relative error = 5.596796486137663000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.3600000000000563 " " y[1] (analytic) = 9.44202231962970400E-2 " " y[1] (numeric) = 9.44202231963023300E-2 " " absolute error = 5.3013149425851220000000000000000E-15 " " relative error = 5.6145969190983970000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.3500000000000565 " " y[1] (analytic) = 9.53691622155442300E-2 " " y[1] (numeric) = 9.53691622155496100E-2 " " absolute error = 5.384581669432009000000000000000E-15 " " relative error = 5.646040653332253000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.3400000000000567 " " y[1] (analytic) = 9.63276382304875600E-2 " " y[1] (numeric) = 9.63276382304930200E-2 " " absolute error = 5.467848396278896000000000000000E-15 " " relative error = 5.6763027690928370000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.330000000000057 " " y[1] (analytic) = 9.72957470895272400E-2 " " y[1] (numeric) = 9.72957470895327700E-2 " " absolute error = 5.537237335317968000000000000000E-15 " " relative error = 5.691140158698661000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999993 " " Order of pole (six term test) = -12.34375 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.320000000000057 " " y[1] (analytic) = 9.82735856043559300E-2 " " y[1] (numeric) = 9.82735856043615200E-2 " " absolute error = 5.6066262743570400000000000000000E-15 " " relative error = 5.705120292373387000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.3100000000000573 " " y[1] (analytic) = 9.92612515596399600E-2 " " y[1] (numeric) = 9.92612515596456600E-2 " " absolute error = 5.689893001203927000000000000000E-15 " " relative error = 5.732239833572138000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.3000000000000576 " " y[1] (analytic) = 0.10025884372279796 " " y[1] (numeric) = 0.10025884372280373 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 5.758254846837066000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.2900000000000578 " " y[1] (analytic) = 0.10126646185387755 " " y[1] (numeric) = 0.10126646185388341 " " absolute error = 5.856426454897701000000000000000E-15 " " relative error = 5.783184627649213000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.280000000000058 " " y[1] (analytic) = 0.10228420671553154 " " y[1] (numeric) = 0.10228420671553747 " " absolute error = 5.925815393936773000000000000000E-15 " " relative error = 5.793480327238982000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.270000000000058 " " y[1] (analytic) = 0.10331218008309419 " " y[1] (numeric) = 0.1033121800831002 " " absolute error = 6.00908212078366000000000000000E-15 " " relative error = 5.816431437174729000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.2600000000000584 " " y[1] (analytic) = 0.10435048475475892 " " y[1] (numeric) = 0.10435048475476501 " " absolute error = 6.0923488476305470000000000000000E-15 " " relative error = 5.838352224188115000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.2500000000000586 " " y[1] (analytic) = 0.10539922456185816 " " y[1] (numeric) = 0.10539922456186433 " " absolute error = 6.175615574477433000000000000000E-15 " " relative error = 5.8592609197546830000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.240000000000059 " " y[1] (analytic) = 0.10645850437924656 " " y[1] (numeric) = 0.10645850437925282 " " absolute error = 6.25888230132432000000000000000E-15 " " relative error = 5.879175494545508000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.230000000000059 " " y[1] (analytic) = 0.1075284301357886 " " y[1] (numeric) = 0.10752843013579495 " " absolute error = 6.356026815979021000000000000000E-15 " " relative error = 5.9110198186214850000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.2200000000000593 " " y[1] (analytic) = 0.10860910882495155 " " y[1] (numeric) = 0.10860910882495799 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 5.928870619134077000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.2100000000000595 " " y[1] (analytic) = 0.10970064851550487 " " y[1] (numeric) = 0.10970064851551141 " " absolute error = 6.536438057480609000000000000000E-15 " " relative error = 5.958431555267207000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.2000000000000597 " " y[1] (analytic) = 0.11080315836232726 " " y[1] (numeric) = 0.1108031583623339 " " absolute error = 6.63358257213531000000000000000E-15 " " relative error = 5.986817226313568000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.19000000000006 " " y[1] (analytic) = 0.11191674861732216 " " y[1] (numeric) = 0.11191674861732889 " " absolute error = 6.7307270867900120000000000000000E-15 " " relative error = 6.014048093734782000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.18000000000006 " " y[1] (analytic) = 0.11304153064044306 " " y[1] (numeric) = 0.11304153064044989 " " absolute error = 6.827871601444713000000000000000E-15 " " relative error = 6.040144328160657000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.1700000000000603 " " y[1] (analytic) = 0.1141776169108296 " " y[1] (numeric) = 0.11417761691083651 " " absolute error = 6.9111383282916000000000000000000E-15 " " relative error = 6.052971252403225000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.1600000000000605 " " y[1] (analytic) = 0.11532512103805555 " " y[1] (numeric) = 0.11532512103806256 " " absolute error = 7.008282842946301000000000000000E-15 " " relative error = 6.076978528063867000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.1500000000000608 " " y[1] (analytic) = 0.11648415777348989 " " y[1] (numeric) = 0.116484157773497 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 6.09990877164422000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.140000000000061 " " y[1] (analytic) = 0.11765484302177202 " " y[1] (numeric) = 0.11765484302177923 " " absolute error = 7.202571872255703000000000000000E-15 " " relative error = 6.121781039581062000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.130000000000061 " " y[1] (analytic) = 0.11883729385240237 " " y[1] (numeric) = 0.11883729385240967 " " absolute error = 7.299716386910404000000000000000E-15 " " relative error = 6.142614115714177000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.1200000000000614 " " y[1] (analytic) = 0.12003162851144937 " " y[1] (numeric) = 0.12003162851145677 " " absolute error = 7.396860901565105000000000000000E-15 " " relative error = 6.162426514824422000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.1100000000000616 " " y[1] (analytic) = 0.1212379664333742 " " y[1] (numeric) = 0.1212379664333817 " " absolute error = 7.494005416219807000000000000000E-15 " " relative error = 6.181236486128382000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999981 " " Order of pole (six term test) = -10.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.100000000000062 " " y[1] (analytic) = 0.12245642825297434 " " y[1] (numeric) = 0.12245642825298193 " " absolute error = 7.591149930874508000000000000000E-15 " " relative error = 6.199062016730124000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.090000000000062 " " y[1] (analytic) = 0.12368713581744714 " " y[1] (numeric) = 0.12368713581745484 " " absolute error = 7.702172233337023000000000000000E-15 " " relative error = 6.227140908739974000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.0800000000000622 " " y[1] (analytic) = 0.12493021219857466 " " y[1] (numeric) = 0.12493021219858245 " " absolute error = 7.799316747991725000000000000000E-15 " " relative error = 6.242938846205456000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.0700000000000625 " " y[1] (analytic) = 0.12618578170503086 " " y[1] (numeric) = 0.12618578170503877 " " absolute error = 7.91033905045424000000000000000E-15 " " relative error = 6.2688037777071250000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.0600000000000627 " " y[1] (analytic) = 0.12745396989481275 " " y[1] (numeric) = 0.12745396989482077 " " absolute error = 8.021361352916756000000000000000E-15 " " relative error = 6.293535901264397000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.050000000000063 " " y[1] (analytic) = 0.12873490358779613 " " y[1] (numeric) = 0.12873490358780426 " " absolute error = 8.132383655379272000000000000000E-15 " " relative error = 6.317155199353572000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.040000000000063 " " y[1] (analytic) = 0.13002871087841772 " " y[1] (numeric) = 0.13002871087842596 " " absolute error = 8.243405957841787000000000000000E-15 " " relative error = 6.339681368947598000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.0300000000000633 " " y[1] (analytic) = 0.13133552114848476 " " y[1] (numeric) = 0.13133552114849312 " " absolute error = 8.354428260304303000000000000000E-15 " " relative error = 6.361133825219293000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.0200000000000635 " " y[1] (analytic) = 0.1326554650801133 " " y[1] (numeric) = 0.13265546508012177 " " absolute error = 8.465450562766819000000000000000E-15 " " relative error = 6.381531705199152000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.0100000000000637 " " y[1] (analytic) = 0.13398867466879644 " " y[1] (numeric) = 0.133988674668805 " " absolute error = 8.576472865229334000000000000000E-15 " " relative error = 6.4008938713882510000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.000000000000064 " " y[1] (analytic) = 0.13533528323660404 " " y[1] (numeric) = 0.13533528323661273 " " absolute error = 8.68749516769185000000000000000E-15 " " relative error = 6.4192389153268110000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.990000000000064 " " y[1] (analytic) = 0.1366954254455151 " " y[1] (numeric) = 0.1366954254455239 " " absolute error = 8.798517470154366000000000000000E-15 " " relative error = 6.436585161118894000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 92988769.66898382 " " Order of pole (six term test) = -27487790694411.25 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.980000000000064 " " y[1] (analytic) = 0.138069237310884 " " y[1] (numeric) = 0.13806923731089285 " " absolute error = 8.854028621385623000000000000000E-15 " " relative error = 6.412745368795965000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.970000000000064 " " y[1] (analytic) = 0.13945685621504203 " " y[1] (numeric) = 0.13945685621505097 " " absolute error = 8.93729534823251000000000000000E-15 " " relative error = 6.408645362298452000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.960000000000064 " " y[1] (analytic) = 0.14085842092103598 " " y[1] (numeric) = 0.14085842092104503 " " absolute error = 9.048317650695026000000000000000E-15 " " relative error = 6.423696639171779000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.950000000000064 " " y[1] (analytic) = 0.14227407158650449 " " y[1] (numeric) = 0.14227407158651362 " " absolute error = 9.131584377541913000000000000000E-15 " " relative error = 6.4183053705536150000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.940000000000064 " " y[1] (analytic) = 0.14370394977769374 " " y[1] (numeric) = 0.14370394977770296 " " absolute error = 9.2148511043887990000000000000E-15 " " relative error = 6.412385406694759000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9300000000000639 " " y[1] (analytic) = 0.14514819848361446 " " y[1] (numeric) = 0.14514819848362376 " " absolute error = 9.298117831235686000000000000000E-15 " " relative error = 6.4059478025732000000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9200000000000639 " " y[1] (analytic) = 0.14660696213034077 " " y[1] (numeric) = 0.14660696213035015 " " absolute error = 9.381384558082573000000000000000E-15 " " relative error = 6.399003445513087000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9100000000000639 " " y[1] (analytic) = 0.148080386595453 " " y[1] (numeric) = 0.14808038659546247 " " absolute error = 9.46465128492946000000000000000E-15 " " relative error = 6.391563057426597000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9000000000000639 " " y[1] (analytic) = 0.1495686192226255 " " y[1] (numeric) = 0.14956861922263506 " " absolute error = 9.575673587391975000000000000000E-15 " " relative error = 6.402194281902849000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999975 " " Order of pole (six term test) = -219902325555211.5 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8900000000000639 " " y[1] (analytic) = 0.1510718088363612 " " y[1] (numeric) = 0.15107180883637086 " " absolute error = 9.658940314238862000000000000000E-15 " " relative error = 6.3936087008141180000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8800000000000638 " " y[1] (analytic) = 0.15259010575687412 " " y[1] (numeric) = 0.1525901057568839 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 6.402749751198232000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8700000000000638 " " y[1] (analytic) = 0.15412366181512158 " " y[1] (numeric) = 0.15412366181513146 " " absolute error = 9.880984919163893000000000000000E-15 " " relative error = 6.411075887242148000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -219902325555212.2 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8600000000000638 " " y[1] (analytic) = 0.15567263036798737 " " y[1] (numeric) = 0.15567263036799733 " " absolute error = 9.96425164601078000000000000000E-15 " " relative error = 6.400772969825681000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8500000000000638 " " y[1] (analytic) = 0.1572371663136176 " " y[1] (numeric) = 0.15723716631362764 " " absolute error = 1.004751837285766700000000000000E-14 " " relative error = 6.390040350140486000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8400000000000638 " " y[1] (analytic) = 0.15881742610691055 " " y[1] (numeric) = 0.1588174261069207 " " absolute error = 1.015854067532018200000000000000E-14 " " relative error = 6.396364003835319000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8300000000000638 " " y[1] (analytic) = 0.16041356777516252 " " y[1] (numeric) = 0.16041356777517277 " " absolute error = 1.024180740216706900000000000000E-14 " " relative error = 6.3846266523553060000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8200000000000638 " " y[1] (analytic) = 0.16202575093387042 " " y[1] (numeric) = 0.16202575093388077 " " absolute error = 1.035282970462958500000000000000E-14 " " relative error = 6.389619949272763000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8100000000000638 " " y[1] (analytic) = 0.16365413680269364 " " y[1] (numeric) = 0.16365413680270408 " " absolute error = 1.043609643147647100000000000000E-14 " " relative error = 6.37692186422305000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8000000000000638 " " y[1] (analytic) = 0.16529888822157598 " " y[1] (numeric) = 0.16529888822158656 " " absolute error = 1.057487430955461600000000000000E-14 " " relative error = 6.397426155328677000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7900000000000638 " " y[1] (analytic) = 0.16696016966703006 " " y[1] (numeric) = 0.16696016966704072 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 6.383642911753812000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7800000000000638 " " y[1] (analytic) = 0.16863814726858475 " " y[1] (numeric) = 0.16863814726859552 " " absolute error = 1.076916333886401800000000000000E-14 " " relative error = 6.385959234782332000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.4 " " Order of pole (six term test) = -10. " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7700000000000637 " " y[1] (analytic) = 0.17033298882539857 " " y[1] (numeric) = 0.17033298882540945 " " absolute error = 1.088018564132653400000000000000E-14 " " relative error = 6.387597444485267000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7600000000000637 " " y[1] (analytic) = 0.17204486382303957 " " y[1] (numeric) = 0.17204486382305054 " " absolute error = 1.096345236817342100000000000000E-14 " " relative error = 6.372438051652687000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7500000000000637 " " y[1] (analytic) = 0.17377394345043407 " " y[1] (numeric) = 0.17377394345044514 " " absolute error = 1.107447467063593600000000000000E-14 " " relative error = 6.37292015750033000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 87670652.80950989 " " Order of pole (six term test) = -219902325555212.25 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7400000000000637 " " y[1] (analytic) = 0.17552040061698568 " " y[1] (numeric) = 0.1755204006169969 " " absolute error = 1.121325254871408100000000000000E-14 " " relative error = 6.388575065518018000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7300000000000637 " " y[1] (analytic) = 0.1772844099698665 " " y[1] (numeric) = 0.17728440996987782 " " absolute error = 1.132427485117659700000000000000E-14 " " relative error = 6.387631519940988000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7200000000000637 " " y[1] (analytic) = 0.17906614791148182 " " y[1] (numeric) = 0.17906614791149325 " " absolute error = 1.143529715363911200000000000000E-14 " " relative error = 6.386074245195663000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7100000000000637 " " y[1] (analytic) = 0.18086579261711055 " " y[1] (numeric) = 0.1808657926171221 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 6.3839155481130520000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7000000000000637 " " y[1] (analytic) = 0.182683524052723 " " y[1] (numeric) = 0.18268352405273466 " " absolute error = 1.165734175856414400000000000000E-14 " " relative error = 6.381167551376883000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6900000000000637 " " y[1] (analytic) = 0.18451952399297752 " " y[1] (numeric) = 0.1845195239929893 " " absolute error = 1.17683640610266600000000000000E-14 " " relative error = 6.377842195969756000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6800000000000637 " " y[1] (analytic) = 0.1863739760393981 " " y[1] (numeric) = 0.18637397603941 " " absolute error = 1.190714193910480400000000000000E-14 " " relative error = 6.388843653036475000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 185977539.33796808 " " Order of pole (six term test) = -219902325555212. " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6700000000000637 " " y[1] (analytic) = 0.18824706563873478 " " y[1] (numeric) = 0.1882470656387468 " " absolute error = 1.20181642415673200000000000000E-14 " " relative error = 6.38425050652922000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6600000000000636 " " y[1] (analytic) = 0.19013898010150843 " " y[1] (numeric) = 0.19013898010152055 " " absolute error = 1.212918654402983500000000000000E-14 " " relative error = 6.379116232533957000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6500000000000636 " " y[1] (analytic) = 0.1920499086207419 " " y[1] (numeric) = 0.19204990862075413 " " absolute error = 1.224020884649235100000000000000E-14 " " relative error = 6.3734520544158060000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6400000000000636 " " y[1] (analytic) = 0.19398004229087956 " " y[1] (numeric) = 0.1939800422908919 " " absolute error = 1.235123114895486700000000000000E-14 " " relative error = 6.367269025765950000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6300000000000636 " " y[1] (analytic) = 0.19592957412689688 " " y[1] (numeric) = 0.19592957412690937 " " absolute error = 1.249000902703301100000000000000E-14 " " relative error = 6.3747441307373330000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6200000000000636 " " y[1] (analytic) = 0.19789869908360208 " " y[1] (numeric) = 0.1978986990836147 " " absolute error = 1.262878690511115600000000000000E-14 " " relative error = 6.381440082016981000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6100000000000636 " " y[1] (analytic) = 0.19988761407513178 " " y[1] (numeric) = 0.19988761407514452 " " absolute error = 1.273980920757367000000000000000E-14 " " relative error = 6.373486054411135000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6000000000000636 " " y[1] (analytic) = 0.20189651799464256 " " y[1] (numeric) = 0.20189651799465544 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 6.378805941563369000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5900000000000636 " " y[1] (analytic) = 0.20392561173420048 " " y[1] (numeric) = 0.20392561173421347 " " absolute error = 1.298960938811433200000000000000E-14 " " relative error = 6.369778311635113000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999959 " " Order of pole (six term test) = -11.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5800000000000636 " " y[1] (analytic) = 0.20597509820487037 " " y[1] (numeric) = 0.2059750982048835 " " absolute error = 1.312838726619247600000000000000E-14 " " relative error = 6.373774005018074000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5700000000000636 " " y[1] (analytic) = 0.20804518235700725 " " y[1] (numeric) = 0.2080451823570205 " " absolute error = 1.323940956865499200000000000000E-14 " " relative error = 6.363718408982937000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5600000000000636 " " y[1] (analytic) = 0.21013607120075137 " " y[1] (numeric) = 0.21013607120076477 " " absolute error = 1.340594302234876500000000000000E-14 " " relative error = 6.379648646586493000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5500000000000635 " " y[1] (analytic) = 0.21224797382672958 " " y[1] (numeric) = 0.2122479738267431 " " absolute error = 1.351696532481128000000000000000E-14 " " relative error = 6.368477908696537000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 92988769.66898404 " " Order of pole (six term test) = -109951162777612. " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5400000000000635 " " y[1] (analytic) = 0.21438110142696434 " " y[1] (numeric) = 0.214381101426978 " " absolute error = 1.365574320288942500000000000000E-14 " " relative error = 6.369844688731429000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5300000000000635 " " y[1] (analytic) = 0.2165356673159933 " " y[1] (numeric) = 0.2165356673160071 " " absolute error = 1.37945210809675700000000000000E-14 " " relative error = 6.3705537530854200000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 75925012.499401 " " Order of pole (six term test) = -11.703125 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5200000000000635 " " y[1] (analytic) = 0.21871188695220087 " " y[1] (numeric) = 0.2187118869522148 " " absolute error = 1.393329895904571500000000000000E-14 " " relative error = 6.370618055200088000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999959 " " Order of pole (six term test) = -11.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5100000000000635 " " y[1] (analytic) = 0.22090997795936415 " " y[1] (numeric) = 0.22090997795937822 " " absolute error = 1.407207683712386000000000000000E-14 " " relative error = 6.3700503558568920000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999975 " " Order of pole (six term test) = -219902325555211.5 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5000000000000635 " " y[1] (analytic) = 0.22313016014841566 " " y[1] (numeric) = 0.22313016014842985 " " absolute error = 1.418309913958637500000000000000E-14 " " relative error = 6.356424039740951000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.4900000000000635 " " y[1] (analytic) = 0.22537265553942443 " " y[1] (numeric) = 0.22537265553943875 " " absolute error = 1.43218770176645200000000000000E-14 " " relative error = 6.354753633880483000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.4800000000000635 " " y[1] (analytic) = 0.22763768838379828 " " y[1] (numeric) = 0.22763768838381276 " " absolute error = 1.448841047135829300000000000000E-14 " " relative error = 6.364680020353555000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.4700000000000635 " " y[1] (analytic) = 0.22992548518670924 " " y[1] (numeric) = 0.22992548518672387 " " absolute error = 1.462718834943643700000000000000E-14 " " relative error = 6.36170815843165000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.4600000000000635 " " y[1] (analytic) = 0.2322362747297441 " " y[1] (numeric) = 0.23223627472975886 " " absolute error = 1.476596622751458200000000000000E-14 " " relative error = 6.358165297259397000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.4500000000000635 " " y[1] (analytic) = 0.23457028809378278 " " y[1] (numeric) = 0.23457028809379768 " " absolute error = 1.490474410559272700000000000000E-14 " " relative error = 6.354063094143325000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999959 " " Order of pole (six term test) = -11.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4400000000000635 " " y[1] (analytic) = 0.23692775868210672 " " y[1] (numeric) = 0.2369277586821218 " " absolute error = 1.5071277559286500000000000000E-14 " " relative error = 6.361127815127858000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.4300000000000634 " " y[1] (analytic) = 0.23930892224373934 " " y[1] (numeric) = 0.23930892224375455 " " absolute error = 1.521005543736464500000000000000E-14 " " relative error = 6.355824636522746000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.4200000000000634 " " y[1] (analytic) = 0.2417140168970211 " " y[1] (numeric) = 0.24171401689703648 " " absolute error = 1.537658889105841800000000000000E-14 " " relative error = 6.361480020254432000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999959 " " Order of pole (six term test) = -11.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4100000000000634 " " y[1] (analytic) = 0.2441432831534216 " " y[1] (numeric) = 0.2441432831534371 " " absolute error = 1.551536676913656300000000000000E-14 " " relative error = 6.355025036419528000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.4000000000000634 " " y[1] (analytic) = 0.24659696394159084 " " y[1] (numeric) = 0.24659696394160652 " " absolute error = 1.568190022283033600000000000000E-14 " " relative error = 6.3593241263687110000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3900000000000634 " " y[1] (analytic) = 0.2490753046316524 " " y[1] (numeric) = 0.24907530463166822 " " absolute error = 1.58206781009084800000000000000E-14 " " relative error = 6.351765031184065000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3800000000000634 " " y[1] (analytic) = 0.2515785530597406 " " y[1] (numeric) = 0.2515785530597565 " " absolute error = 1.593170040337099600000000000000E-14 " " relative error = 6.332694186212212000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3700000000000634 " " y[1] (analytic) = 0.2541069595527842 " " y[1] (numeric) = 0.2541069595528003 " " absolute error = 1.615374500829602800000000000000E-14 " " relative error = 6.357065165285449000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3600000000000634 " " y[1] (analytic) = 0.2566607769535396 " " y[1] (numeric) = 0.2566607769535559 " " absolute error = 1.626476731075854300000000000000E-14 " " relative error = 6.337067745143922000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3500000000000634 " " y[1] (analytic) = 0.2592402606458751 " " y[1] (numeric) = 0.2592402606458915 " " absolute error = 1.643130076445231700000000000000E-14 " " relative error = 6.33825190713631000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3400000000000634 " " y[1] (analytic) = 0.2618456685803094 " " y[1] (numeric) = 0.261845668580326 " " absolute error = 1.65978342181460900000000000000E-14 " " relative error = 6.338785097396198000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3300000000000634 " " y[1] (analytic) = 0.2644772612998072 " " y[1] (numeric) = 0.26447726129982396 " " absolute error = 1.676436767183986400000000000000E-14 " " relative error = 6.338680153238597000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3200000000000633 " " y[1] (analytic) = 0.26713530196583346 " " y[1] (numeric) = 0.2671353019658504 " " absolute error = 1.693090112553363700000000000000E-14 " " relative error = 6.337949720961663000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3100000000000633 " " y[1] (analytic) = 0.26982005638466977 " " y[1] (numeric) = 0.26982005638468687 " " absolute error = 1.70974345792274100000000000000E-14 " " relative error = 6.336606258377029000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3000000000000633 " " y[1] (analytic) = 0.27253179303399533 " " y[1] (numeric) = 0.2725317930340126 " " absolute error = 1.726396803292118400000000000000E-14 " " relative error = 6.334662037308688000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.2900000000000633 " " y[1] (analytic) = 0.2752707830897349 " " y[1] (numeric) = 0.27527078308975234 " " absolute error = 1.743050148661495800000000000000E-14 " " relative error = 6.3321291460608190000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.2800000000000633 " " y[1] (analytic) = 0.27803730045317654 " " y[1] (numeric) = 0.27803730045319414 " " absolute error = 1.75970349403087300000000000000E-14 " " relative error = 6.329019491854906000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -219902325555212.2 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2700000000000633 " " y[1] (analytic) = 0.280831621778362 " " y[1] (numeric) = 0.2808316217783798 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 6.325344803236536000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -219902325555212.2 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2600000000000633 " " y[1] (analytic) = 0.2836540264997524 " " y[1] (numeric) = 0.2836540264997704 " " absolute error = 1.798561299892753600000000000000E-14 " " relative error = 6.340686652986128000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.2500000000000633 " " y[1] (analytic) = 0.286504796860172 " " y[1] (numeric) = 0.28650479686019015 " " absolute error = 1.81521464526213100000000000000E-14 " " relative error = 6.3357216533726730000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.2400000000000633 " " y[1] (analytic) = 0.28938421793903235 " " y[1] (numeric) = 0.28938421793905067 " " absolute error = 1.831867990631508300000000000000E-14 " " relative error = 6.330227694094387000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.2300000000000633 " " y[1] (analytic) = 0.2922925776808409 " " y[1] (numeric) = 0.2922925776808594 " " absolute error = 1.854072451124011400000000000000E-14 " " relative error = 6.343207432206862000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.2200000000000633 " " y[1] (analytic) = 0.2952301669239955 " " y[1] (numeric) = 0.2952301669240142 " " absolute error = 1.870725796493388800000000000000E-14 " " relative error = 6.336499470851810000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.2100000000000632 " " y[1] (analytic) = 0.2981972794298685 " " y[1] (numeric) = 0.2981972794298874 " " absolute error = 1.88737914186276600000000000000E-14 " " relative error = 6.329296985778333000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.2000000000000632 " " y[1] (analytic) = 0.30119421191218304 " " y[1] (numeric) = 0.3011942119122021 " " absolute error = 1.904032487232143500000000000000E-14 " " relative error = 6.3216104822999990000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1900000000000632 " " y[1] (analytic) = 0.3042212640666848 " " y[1] (numeric) = 0.304221264066704 " " absolute error = 1.920685832601520800000000000000E-14 " " relative error = 6.313450305631856000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1800000000000632 " " y[1] (analytic) = 0.3072787386011118 " " y[1] (numeric) = 0.3072787386011312 " " absolute error = 1.937339177970898200000000000000E-14 " " relative error = 6.30482664303637000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1700000000000632 " " y[1] (analytic) = 0.3103669412654654 " " y[1] (numeric) = 0.310366941265485 " " absolute error = 1.959543638463401300000000000000E-14 " " relative error = 6.313635178004830000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1600000000000632 " " y[1] (analytic) = 0.3134861808825855 " " y[1] (numeric) = 0.31348618088260527 " " absolute error = 1.976196983832778600000000000000E-14 " " relative error = 6.303936518889016000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1500000000000632 " " y[1] (analytic) = 0.31663676937903323 " " y[1] (numeric) = 0.31663676937905316 " " absolute error = 1.99285032920215600000000000000E-14 " " relative error = 6.2938057797595660000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1400000000000632 " " y[1] (analytic) = 0.3198190218162837 " " y[1] (numeric) = 0.31981902181630384 " " absolute error = 2.01505478969465900000000000000E-14 " " relative error = 6.3006095705345000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1300000000000632 " " y[1] (analytic) = 0.3230332564222325 " " y[1] (numeric) = 0.3230332564222529 " " absolute error = 2.037259250187162300000000000000E-14 " " relative error = 6.306654840281484000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1200000000000632 " " y[1] (analytic) = 0.32627979462301887 " " y[1] (numeric) = 0.3262797946230394 " " absolute error = 2.053912595556539600000000000000E-14 " " relative error = 6.2949426516882980000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1100000000000632 " " y[1] (analytic) = 0.32955896107516824 " " y[1] (numeric) = 0.329558961075189 " " absolute error = 2.076117056049042700000000000000E-14 " " relative error = 6.299683216853893000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1000000000000631 " " y[1] (analytic) = 0.3328710836980585 " " y[1] (numeric) = 0.3328710836980795 " " absolute error = 2.09832151654154600000000000000E-14 " " relative error = 6.303706207310265000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.0900000000000631 " " y[1] (analytic) = 0.33621649370671214 " " y[1] (numeric) = 0.3362164937067333 " " absolute error = 2.114974861910923200000000000000E-14 " " relative error = 6.290514895904705000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.0800000000000631 " " y[1] (analytic) = 0.33959552564491774 " " y[1] (numeric) = 0.3395955256449391 " " absolute error = 2.137179322403426300000000000000E-14 " " relative error = 6.293308247641838000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.0700000000000631 " " y[1] (analytic) = 0.34300851741868504 " " y[1] (numeric) = 0.34300851741870664 " " absolute error = 2.159383782895929500000000000000E-14 " " relative error = 6.295423213237967000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.0600000000000631 " " y[1] (analytic) = 0.3464558103300356 " " y[1] (numeric) = 0.3464558103300574 " " absolute error = 2.181588243388432600000000000000E-14 " " relative error = 6.296873016244815000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999975 " " Order of pole (six term test) = -219902325555211.5 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.050000000000063 " " y[1] (analytic) = 0.3499377491111333 " " y[1] (numeric) = 0.3499377491111553 " " absolute error = 2.203792703880935700000000000000E-14 " " relative error = 6.297670684225196000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.040000000000063 " " y[1] (analytic) = 0.35345468195875784 " " y[1] (numeric) = 0.3534546819587801 " " absolute error = 2.22599716437343900000000000000E-14 " " relative error = 6.297829051344056000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 185977539.33796808 " " Order of pole (six term test) = -219902325555212. " " " " "TOP MAIN SOLVE Loop" x[1] = -1.030000000000063 " " y[1] (analytic) = 0.35700696056912484 " " y[1] (numeric) = 0.3570069605691473 " " absolute error = 2.24820162486594200000000000000E-14 " " relative error = 6.297360760927343000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 185977539.33796808 " " Order of pole (six term test) = -219902325555212. " " " " "TOP MAIN SOLVE Loop" x[1] = -1.020000000000063 " " y[1] (analytic) = 0.36059494017305554 " " y[1] (numeric) = 0.36059494017307825 " " absolute error = 2.27040608535844500000000000000E-14 " " relative error = 6.2962782679891160000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 87670652.80950966 " " Order of pole (six term test) = 73300775185054.31 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.010000000000063 " " y[1] (analytic) = 0.36421897957150035 " " y[1] (numeric) = 0.36421897957152327 " " absolute error = 2.292610545850948300000000000000E-14 " " relative error = 6.294593841727247000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.000000000000063 " " y[1] (analytic) = 0.36787944117141913 " " y[1] (numeric) = 0.3678794411714423 " " absolute error = 2.314815006343451400000000000000E-14 " " relative error = 6.29231956798811000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.990000000000063 " " y[1] (analytic) = 0.3715766910220223 " " y[1] (numeric) = 0.37157669102204566 " " absolute error = 2.337019466835954500000000000000E-14 " " relative error = 6.28946735170061000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.980000000000063 " " y[1] (analytic) = 0.37531109885137587 " " y[1] (numeric) = 0.3753110988513995 " " absolute error = 2.364775042451583400000000000000E-14 " " relative error = 6.300839622619421000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.970000000000063 " " y[1] (analytic) = 0.3790830381033749 " " y[1] (numeric) = 0.3790830381033988 " " absolute error = 2.386979502944086600000000000000E-14 " " relative error = 6.296719354383679000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.960000000000063 " " y[1] (analytic) = 0.3828928859750879 " " y[1] (numeric) = 0.38289288597511195 " " absolute error = 2.40363284831346400000000000000E-14 " " relative error = 6.2775594333446330000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.950000000000063 " " y[1] (analytic) = 0.38674102345447686 " " y[1] (numeric) = 0.3867410234545011 " " absolute error = 2.42583730880596700000000000000E-14 " " relative error = 6.272510961308740000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.940000000000063 " " y[1] (analytic) = 0.3906278353584965 " " y[1] (numeric) = 0.390627835358521 " " absolute error = 2.45359288442159600000000000000E-14 " " relative error = 6.281152192264602000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 185977539.33796808 " " Order of pole (six term test) = -219902325555212. " " " " "TOP MAIN SOLVE Loop" x[1] = -0.930000000000063 " " y[1] (analytic) = 0.39455371037157627 " " y[1] (numeric) = 0.39455371037160103 " " absolute error = 2.47579734491409900000000000000E-14 " " relative error = 6.274931092607097000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.920000000000063 " " y[1] (analytic) = 0.39851904108448905 " " y[1] (numeric) = 0.3985190410845141 " " absolute error = 2.50355292052972800000000000000E-14 " " relative error = 6.282141284182594000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.910000000000063 " " y[1] (analytic) = 0.4025242240336106 " " y[1] (numeric) = 0.40252422403363586 " " absolute error = 2.52575738102223100000000000000E-14 " " relative error = 6.274795975536944000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.900000000000063 " " y[1] (analytic) = 0.4065696597405735 " " y[1] (numeric) = 0.406569659740599 " " absolute error = 2.547961841514734000000000000000E-14 " " relative error = 6.266974872499226000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.890000000000063 " " y[1] (analytic) = 0.41065575275231964 " " y[1] (numeric) = 0.4106557527523454 " " absolute error = 2.575717417130363000000000000000E-14 " " relative error = 6.272205855798312000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.880000000000063 " " y[1] (analytic) = 0.41478291168155523 " " y[1] (numeric) = 0.41478291168158127 " " absolute error = 2.60347299274599200000000000000E-14 " " relative error = 6.2767122738768420000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.870000000000063 " " y[1] (analytic) = 0.41895154924761263 " " y[1] (numeric) = 0.4189515492476389 " " absolute error = 2.625677453238495000000000000000E-14 " " relative error = 6.26725801098934000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.8600000000000629 " " y[1] (analytic) = 0.4231620823177222 " " y[1] (numeric) = 0.4231620823177487 " " absolute error = 2.65343302885412400000000000000E-14 " " relative error = 6.270488637169176000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.8500000000000629 " " y[1] (analytic) = 0.4274149319486998 " " y[1] (numeric) = 0.42741493194872654 " " absolute error = 2.675637489346627000000000000000E-14 " " relative error = 6.260046828845393000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.8400000000000629 " " y[1] (analytic) = 0.43171052342905253 " " y[1] (numeric) = 0.43171052342907956 " " absolute error = 2.703393064962256000000000000000E-14 " " relative error = 6.262050420937985000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.8300000000000629 " " y[1] (analytic) = 0.43604928632150813 " " y[1] (numeric) = 0.43604928632153545 " " absolute error = 2.73114864057788500000000000000E-14 " " relative error = 6.263394359884706000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.8200000000000629 " " y[1] (analytic) = 0.44043165450597155 " " y[1] (numeric) = 0.44043165450599914 " " absolute error = 2.75890421619351400000000000000E-14 " " relative error = 6.264091574635237000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.8100000000000629 " " y[1] (analytic) = 0.44485806622291313 " " y[1] (numeric) = 0.444858066222941 " " absolute error = 2.78665979180914300000000000000E-14 " " relative error = 6.2641548021583590000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.8000000000000629 " " y[1] (analytic) = 0.44932896411719336 " " y[1] (numeric) = 0.44932896411722145 " " absolute error = 2.80886425230164600000000000000E-14 " " relative error = 6.251242356077099000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7900000000000629 " " y[1] (analytic) = 0.4538447952823273 " " y[1] (numeric) = 0.45384479528235566 " " absolute error = 2.83661982791727500000000000000E-14 " " relative error = 6.250197991480047000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7800000000000629 " " y[1] (analytic) = 0.4584060113051947 " " y[1] (numeric) = 0.4584060113052234 " " absolute error = 2.869926518656029700000000000000E-14 " " relative error = 6.2606651044663290000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7700000000000629 " " y[1] (analytic) = 0.463013068311199 " " y[1] (numeric) = 0.4630130683112279 " " absolute error = 2.89213097914853300000000000000E-14 " " relative error = 6.246326890291317000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7600000000000628 " " y[1] (analytic) = 0.4676664270098798 " " y[1] (numeric) = 0.46766642700990907 " " absolute error = 2.925437669887287500000000000000E-14 " " relative error = 6.255393804066002000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7500000000000628 " " y[1] (analytic) = 0.47236655274098505 " " y[1] (numeric) = 0.4723665527410145 " " absolute error = 2.947642130379790600000000000000E-14 " " relative error = 6.240158438982628000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7400000000000628 " " y[1] (analytic) = 0.4771139155210044 " " y[1] (numeric) = 0.4771139155210342 " " absolute error = 2.98094882111854530000000000000E-14 " " relative error = 6.24787650107286000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7300000000000628 " " y[1] (analytic) = 0.48190899009017213 " " y[1] (numeric) = 0.48190899009020227 " " absolute error = 3.014255511857300000000000000E-14 " " relative error = 6.254823159230313000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7200000000000628 " " y[1] (analytic) = 0.4867522559599411 " " y[1] (numeric) = 0.4867522559599715 " " absolute error = 3.04201108747292900000000000000E-14 " " relative error = 6.249608605251706000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7100000000000628 " " y[1] (analytic) = 0.49164419746093424 " " y[1] (numeric) = 0.49164419746096494 " " absolute error = 3.06976666308855800000000000000E-14 " " relative error = 6.243878558807724000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7000000000000628 " " y[1] (analytic) = 0.49658530379137833 " " y[1] (numeric) = 0.49658530379140936 " " absolute error = 3.103073353827312500000000000000E-14 " " relative error = 6.248822367749635000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6900000000000628 " " y[1] (analytic) = 0.501576069066024 " " y[1] (numeric) = 0.5015760690660553 " " absolute error = 3.130828929442941400000000000000E-14 " " relative error = 6.241982268557594000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6800000000000628 " " y[1] (analytic) = 0.5066169923655578 " " y[1] (numeric) = 0.5066169923655894 " " absolute error = 3.16413562018169600000000000000E-14 " " relative error = 6.245616842434220000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6700000000000628 " " y[1] (analytic) = 0.5117085777865104 " " y[1] (numeric) = 0.5117085777865423 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 6.248561094581561000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6600000000000628 " " y[1] (analytic) = 0.5168513344916668 " " y[1] (numeric) = 0.5168513344916991 " " absolute error = 3.230749001659205500000000000000E-14 " " relative error = 6.25082840278764000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6500000000000627 " " y[1] (analytic) = 0.5220457767609833 " " y[1] (numeric) = 0.5220457767610158 " " absolute error = 3.252953462151708700000000000000E-14 " " relative error = 6.231165171634099000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6400000000000627 " " y[1] (analytic) = 0.5272924240430155 " " y[1] (numeric) = 0.5272924240430483 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 6.232329544378922000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6300000000000627 " " y[1] (analytic) = 0.5325918010068638 " " y[1] (numeric) = 0.532591801006897 " " absolute error = 3.31956684362921800000000000000E-14 " " relative error = 6.232853824173754000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6200000000000627 " " y[1] (analytic) = 0.5379444375946407 " " y[1] (numeric) = 0.5379444375946743 " " absolute error = 3.35287353436797300000000000000E-14 " " relative error = 6.232750633801472000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6100000000000627 " " y[1] (analytic) = 0.5433508690744657 " " y[1] (numeric) = 0.5433508690744996 " " absolute error = 3.386180225106727400000000000000E-14 " " relative error = 6.232032408220285000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6000000000000627 " " y[1] (analytic) = 0.548811636093992 " " y[1] (numeric) = 0.5488116360940263 " " absolute error = 3.43058914609173370000000000000E-14 " " relative error = 6.250940979509763000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.5900000000000627 " " y[1] (analytic) = 0.5543272847344722 " " y[1] (numeric) = 0.5543272847345069 " " absolute error = 3.463895836830488400000000000000E-14 " " relative error = 6.248827961787459000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.5800000000000627 " " y[1] (analytic) = 0.559898366565367 " " y[1] (numeric) = 0.5598983665654018 " " absolute error = 3.486100297322991500000000000000E-14 " " relative error = 6.22630910446851000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999959 " " Order of pole (six term test) = -11.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5700000000000627 " " y[1] (analytic) = 0.5655254386995017 " " y[1] (numeric) = 0.5655254386995369 " " absolute error = 3.51940698806174600000000000000E-14 " " relative error = 6.223251417575616000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.5600000000000627 " " y[1] (analytic) = 0.5712090638487791 " " y[1] (numeric) = 0.5712090638488146 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 6.219638138902222000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.5500000000000627 " " y[1] (analytic) = 0.5769498103804506 " " y[1] (numeric) = 0.5769498103804864 " " absolute error = 3.586020369539255600000000000000E-14 " " relative error = 6.215480627638256000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.5400000000000627 " " y[1] (analytic) = 0.5827482523739531 " " y[1] (numeric) = 0.5827482523739894 " " absolute error = 3.63042929052426200000000000000E-14 " " relative error = 6.229841575216931000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 90747747.10335568 " " Order of pole (six term test) = -31414617936468.36 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5300000000000626 " " y[1] (analytic) = 0.5886049696783183 " " y[1] (numeric) = 0.588604969678355 " " absolute error = 3.663735981263016600000000000000E-14 " " relative error = 6.224439428816417000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999959 " " Order of pole (six term test) = -11.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5200000000000626 " " y[1] (analytic) = 0.5945205479701571 " " y[1] (numeric) = 0.594520547970194 " " absolute error = 3.69704267200177130000000000000E-14 " " relative error = 6.21852799642401900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.5100000000000626 " " y[1] (analytic) = 0.6004955788122284 " " y[1] (numeric) = 0.6004955788122657 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 6.212117947844185000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.5000000000000626 " " y[1] (analytic) = 0.6065306597125955 " " y[1] (numeric) = 0.6065306597126332 " " absolute error = 3.77475828372553200000000000000E-14 " " relative error = 6.223524274130184000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.4900000000000626 " " y[1] (analytic) = 0.6126263941843777 " " y[1] (numeric) = 0.6126263941844159 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 6.234088574971047000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.4800000000000626 " " y[1] (analytic) = 0.6187833918061021 " " y[1] (numeric) = 0.6187833918061407 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 6.243826477660553000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.4700000000000626 " " y[1] (analytic) = 0.6250022682826617 " " y[1] (numeric) = 0.6250022682827007 " " absolute error = 3.896882816434299500000000000000E-14 " " relative error = 6.234989877943782000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.4600000000000626 " " y[1] (analytic) = 0.6312836455068864 " " y[1] (numeric) = 0.6312836455069258 " " absolute error = 3.94129173741930570000000000000E-14 " " relative error = 6.243297708520015000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.45000000000006257 " " y[1] (analytic) = 0.6376281516217334 " " y[1] (numeric) = 0.6376281516217731 " " absolute error = 3.974598428158060400000000000000E-14 " " relative error = 6.2334111473107480000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.44000000000006256 " " y[1] (analytic) = 0.6440364210831011 " " y[1] (numeric) = 0.6440364210831412 " " absolute error = 4.00790511889681500000000000000E-14 " " relative error = 6.223103209220008000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999959 " " Order of pole (six term test) = -11.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.43000000000006255 " " y[1] (analytic) = 0.6505090947232759 " " y[1] (numeric) = 0.6505090947233164 " " absolute error = 4.052314039881821400000000000000E-14 " " relative error = 6.22945024558905000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999959 " " Order of pole (six term test) = -11.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.42000000000006255 " " y[1] (analytic) = 0.6570468198150157 " " y[1] (numeric) = 0.6570468198150566 " " absolute error = 4.096722960866827600000000000000E-14 " " relative error = 6.235054850459842000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.41000000000006254 " " y[1] (analytic) = 0.6636502501362779 " " y[1] (numeric) = 0.6636502501363192 " " absolute error = 4.130029651605582300000000000000E-14 " " relative error = 6.223202132083123000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.40000000000006253 " " y[1] (analytic) = 0.6703200460355974 " " y[1] (numeric) = 0.6703200460356391 " " absolute error = 4.174438572590588600000000000000E-14 " " relative error = 6.2275305613774000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.3900000000000625 " " y[1] (analytic) = 0.6770568744981224 " " y[1] (numeric) = 0.6770568744981645 " " absolute error = 4.21884749357559500000000000000E-14 " " relative error = 6.231156720331469000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999981 " " Order of pole (six term test) = -10.75 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3800000000000625 " " y[1] (analytic) = 0.6838614092123131 " " y[1] (numeric) = 0.6838614092123557 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 6.2340941558189620000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.3700000000000625 " " y[1] (analytic) = 0.6907343306373115 " " y[1] (numeric) = 0.6907343306373546 " " absolute error = 4.307665335545607400000000000000E-14 " " relative error = 6.23635621465507000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.3600000000000625 " " y[1] (analytic) = 0.6976763260709875 " " y[1] (numeric) = 0.6976763260710309 " " absolute error = 4.34097202628436200000000000000E-14 " " relative error = 6.222042893057367000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.3500000000000625 " " y[1] (analytic) = 0.7046880897186694 " " y[1] (numeric) = 0.7046880897187133 " " absolute error = 4.3964831775156200000000000000E-14 " " relative error = 6.238906605148975000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.3400000000000625 " " y[1] (analytic) = 0.7117703227625652 " " y[1] (numeric) = 0.7117703227626097 " " absolute error = 4.44089209850062600000000000000E-14 " " relative error = 6.239220653741747000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.33000000000006247 " " y[1] (analytic) = 0.7189237334318812 " " y[1] (numeric) = 0.7189237334319261 " " absolute error = 4.485301019485632400000000000000E-14 " " relative error = 6.238910764671006000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.32000000000006246 " " y[1] (analytic) = 0.7261490370736455 " " y[1] (numeric) = 0.7261490370736908 " " absolute error = 4.52970994047063870000000000000E-14 " " relative error = 6.2379893234110820000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.31000000000006245 " " y[1] (analytic) = 0.7334469562242435 " " y[1] (numeric) = 0.7334469562242891 " " absolute error = 4.563016631209393400000000000000E-14 " " relative error = 6.221331471194080000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999975 " " Order of pole (six term test) = -219902325555211.5 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.30000000000006244 " " y[1] (analytic) = 0.7408182206816716 " " y[1] (numeric) = 0.7408182206817178 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 6.234360405162369000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.29000000000006243 " " y[1] (analytic) = 0.7482635675785185 " " y[1] (numeric) = 0.7482635675785652 " " absolute error = 4.662936703425657500000000000000E-14 " " relative error = 6.231676785381316000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.2800000000000624 " " y[1] (analytic) = 0.7557837414556783 " " y[1] (numeric) = 0.7557837414557255 " " absolute error = 4.71844785465691530000000000000E-14 " " relative error = 6.243119024456576000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.2700000000000624 " " y[1] (analytic) = 0.7633794943368055 " " y[1] (numeric) = 0.7633794943368531 " " absolute error = 4.762856775641921600000000000000E-14 " " relative error = 6.2391730600252850000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.2600000000000624 " " y[1] (analytic) = 0.7710515858035182 " " y[1] (numeric) = 0.7710515858035663 " " absolute error = 4.80726569662692800000000000000E-14 " " relative error = 6.234687516552142000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.2500000000000624 " " y[1] (analytic) = 0.7788007830713563 " " y[1] (numeric) = 0.7788007830714049 " " absolute error = 4.862776847858185600000000000000E-14 " " relative error = 6.243929068330999000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.24000000000006239 " " y[1] (analytic) = 0.7866278610665043 " " y[1] (numeric) = 0.7866278610665535 " " absolute error = 4.918287999089443500000000000000E-14 " " relative error = 6.252369439878807000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.23000000000006238 " " y[1] (analytic) = 0.7945336025032844 " " y[1] (numeric) = 0.794533602503334 " " absolute error = 4.9626969200744500000000000000E-14 " " relative error = 6.246050392883081000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999975 " " Order of pole (six term test) = -219902325555211.5 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.22000000000006237 " " y[1] (analytic) = 0.8025187979624284 " " y[1] (numeric) = 0.8025187979624785 " " absolute error = 5.00710584105945600000000000000E-14 " " relative error = 6.239238076132734000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.21000000000006236 " " y[1] (analytic) = 0.8105842459701366 " " y[1] (numeric) = 0.8105842459701871 " " absolute error = 5.05151476204446200000000000000E-14 " " relative error = 6.2319429314822500000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.20000000000006235 " " y[1] (analytic) = 0.8187307530779309 " " y[1] (numeric) = 0.8187307530779818 " " absolute error = 5.095923683029469000000000000000E-14 " " relative error = 6.224175241826311000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 185977539.33796808 " " Order of pole (six term test) = 439804651110389. " " " " "TOP MAIN SOLVE Loop" x[1] = -0.19000000000006234 " " y[1] (analytic) = 0.8269591339433108 " " y[1] (numeric) = 0.8269591339433623 " " absolute error = 5.151434834260726000000000000000E-14 " " relative error = 6.2293705006877220000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.18000000000006233 " " y[1] (analytic) = 0.8352702114112199 " " y[1] (numeric) = 0.835270211411272 " " absolute error = 5.20694598549198400000000000000E-14 " " relative error = 6.233846142668797000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.17000000000006232 " " y[1] (analytic) = 0.8436648165963311 " " y[1] (numeric) = 0.8436648165963837 " " absolute error = 5.26245713672324200000000000000E-14 " " relative error = 6.237615974023928000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.16000000000006231 " " y[1] (analytic) = 0.8521437889661583 " " y[1] (numeric) = 0.8521437889662113 " " absolute error = 5.30686605770824800000000000000E-14 " " relative error = 6.2276650096184680000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 151850024.99880266 " " Order of pole (six term test) = -329853488332812.5 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.1500000000000623 " " y[1] (analytic) = 0.8607079764250042 " " y[1] (numeric) = 0.8607079764250578 " " absolute error = 5.36237720893950600000000000000E-14 " " relative error = 6.230193463772024000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.1400000000000623 " " y[1] (analytic) = 0.8693582353987517 " " y[1] (numeric) = 0.8693582353988059 " " absolute error = 5.41788836017076400000000000000E-14 " " relative error = 6.2320550258383670000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.1300000000000623 " " y[1] (analytic) = 0.8780954309205067 " " y[1] (numeric) = 0.8780954309205614 " " absolute error = 5.47339951140202200000000000000E-14 " " relative error = 6.233262716860127000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.12000000000006229 " " y[1] (analytic) = 0.8869204367171023 " " y[1] (numeric) = 0.8869204367171576 " " absolute error = 5.528910662633280000000000000000E-14 " " relative error = 6.233829364783051000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.1100000000000623 " " y[1] (analytic) = 0.8958341352964725 " " y[1] (numeric) = 0.8958341352965283 " " absolute error = 5.584421813864537000000000000000E-14 " " relative error = 6.233767607009524000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.1000000000000623 " " y[1] (analytic) = 0.9048374180359032 " " y[1] (numeric) = 0.9048374180359596 " " absolute error = 5.63993296509579500000000000000E-14 " " relative error = 6.233089892920418000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -219902325555212.2 " " " " "TOP MAIN SOLVE Loop" x[1] = -9.00000000000623100E-2 " " y[1] (analytic) = 0.9139311852711712 " " y[1] (numeric) = 0.9139311852712283 " " absolute error = 5.70654634657330500000000000000E-14 " " relative error = 6.2439562611928190000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -8.00000000000623100E-2 " " y[1] (analytic) = 0.9231163463865782 " " y[1] (numeric) = 0.9231163463866359 " " absolute error = 5.76205749780456200000000000000E-14 " " relative error = 6.2419623705716020000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -7.00000000000623200E-2 " " y[1] (analytic) = 0.9323938199058901 " " y[1] (numeric) = 0.9323938199059483 " " absolute error = 5.8175686490358200000000000000E-14 " " relative error = 6.239389971099346000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -6.000000000006231000E-2 " " y[1] (analytic) = 0.94176453358419 " " y[1] (numeric) = 0.9417645335842487 " " absolute error = 5.87307980026707800000000000000E-14 " " relative error = 6.236250772701293000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -5.000000000006232000E-2 " " y[1] (analytic) = 0.9512294245006547 " " y[1] (numeric) = 0.951229424500714 " " absolute error = 5.92859095149833600000000000000E-14 " " relative error = 6.2325563095470190000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.00000000000623130E-2 " " y[1] (analytic) = 0.9607894391522633 " " y[1] (numeric) = 0.9607894391523232 " " absolute error = 5.98410210272959400000000000000E-14 " " relative error = 6.228317942388675000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.00000000000623100E-2 " " y[1] (analytic) = 0.9704455335484478 " " y[1] (numeric) = 0.9704455335485082 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 6.2235468608701010000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.000000000006230700E-2 " " y[1] (analytic) = 0.9801986733066942 " " y[1] (numeric) = 0.9801986733067553 " " absolute error = 6.10622663543836100000000000000E-14 " " relative error = 6.229580595981673000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.000000000006230800E-2 " " y[1] (analytic) = 0.9900498337491064 " " y[1] (numeric) = 0.990049833749168 " " absolute error = 6.16173778666961900000000000000E-14 " " relative error = 6.223664280954868000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -6.23077978101349600000000000000E-14 " " y[1] (analytic) = 0.9999999999999377 " " y[1] (numeric) = 0.9999999999999999 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 6.2172489379012640000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.999999999937692000E-3 " " y[1] (analytic) = 1.010050167084105 " " y[1] (numeric) = 1.010050167084168 " " absolute error = 6.28386231937838600000000000000E-14 " " relative error = 6.221336844603621000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.999999999993769300E-2 " " y[1] (analytic) = 1.0202013400266923 " " y[1] (numeric) = 1.0202013400267558 " " absolute error = 6.35047570085589500000000000000E-14 " " relative error = 6.2247278568461240000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.999999999993769300E-2 " " y[1] (analytic) = 1.0304545339534525 " " y[1] (numeric) = 1.0304545339535167 " " absolute error = 6.41708908233340500000000000000E-14 " " relative error = 6.2274354383337360000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.999999999993769700E-2 " " y[1] (analytic) = 1.0408107741923234 " " y[1] (numeric) = 1.040810774192388 " " absolute error = 6.46149800331841100000000000000E-14 " " relative error = 6.208139042692539000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -219902325555212.2 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.9999999999937700E-2 " " y[1] (analytic) = 1.0512710963759586 " " y[1] (numeric) = 1.051271096376024 " " absolute error = 6.5281113847959200000000000000E-14 " " relative error = 6.209731635636369000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.9999999999937700E-2 " " y[1] (analytic) = 1.0618365465452935 " " y[1] (numeric) = 1.0618365465453594 " " absolute error = 6.5947247662734300000000000000E-14 " " relative error = 6.210677893626377000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 87670652.80950966 " " Order of pole (six term test) = 73300775185054.31 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.9999999999937690E-2 " " y[1] (analytic) = 1.0725081812541497 " " y[1] (numeric) = 1.0725081812542163 " " absolute error = 6.66133814775093900000000000000E-14 " " relative error = 6.210990521267099000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.99999999999376900E-2 " " y[1] (analytic) = 1.0832870676748911 " " y[1] (numeric) = 1.0832870676749584 " " absolute error = 6.72795152922844900000000000000E-14 " " relative error = 6.210682034328131000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.99999999999376900E-2 " " y[1] (analytic) = 1.0941742837051422 " " y[1] (numeric) = 1.0941742837052102 " " absolute error = 6.79456491070595800000000000000E-14 " " relative error = 6.20976476224418000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.99999999999376800E-2 " " y[1] (analytic) = 1.1051709180755787 " " y[1] (numeric) = 1.1051709180756475 " " absolute error = 6.8833827526759700000000000000E-14 " " relative error = 6.22834227728497100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10999999999993768 " " y[1] (analytic) = 1.1162780704588018 " " y[1] (numeric) = 1.116278070458871 " " absolute error = 6.92779167366097700000000000000E-14 " " relative error = 6.206152263488957000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11999999999993767 " " y[1] (analytic) = 1.1274968515793053 " " y[1] (numeric) = 1.1274968515793755 " " absolute error = 7.01660951563098900000000000000E-14 " " relative error = 6.223174375877588000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999959 " " Order of pole (six term test) = -11.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.12999999999993767 " " y[1] (analytic) = 1.138828383324551 " " y[1] (numeric) = 1.1388283833246218 " " absolute error = 7.08322289710849900000000000000E-14 " " relative error = 6.219745662143261000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13999999999993767 " " y[1] (analytic) = 1.1502737988571556 " " y[1] (numeric) = 1.1502737988572271 " " absolute error = 7.14983627858600800000000000000E-14 " " relative error = 6.215769050542284000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14999999999993768 " " y[1] (analytic) = 1.1618342427282107 " " y[1] (numeric) = 1.161834242728283 " " absolute error = 7.23865412055602100000000000000E-14 " " relative error = 6.2303673401450680000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1599999999999377 " " y[1] (analytic) = 1.173510870991737 " " y[1] (numeric) = 1.17351087099181 " " absolute error = 7.3052675020335300000000000000E-14 " " relative error = 6.225138328594971000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -219902325555212.2 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.1699999999999377 " " y[1] (analytic) = 1.1853048513202917 " " y[1] (numeric) = 1.1853048513203654 " " absolute error = 7.3718808835110390000000000000E-14 " " relative error = 6.219396533558115000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 90747747.10335568 " " Order of pole (six term test) = -31414617936468.36 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.1799999999999377 " " y[1] (analytic) = 1.1972173631217355 " " y[1] (numeric) = 1.1972173631218102 " " absolute error = 7.46069872548105200000000000000E-14 " " relative error = 6.231699401708755000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18999999999993772 " " y[1] (analytic) = 1.2092495976571762 " " y[1] (numeric) = 1.2092495976572515 " " absolute error = 7.52731210695856100000000000000E-14 " " relative error = 6.224779500892225000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -219902325555212.2 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.19999999999993773 " " y[1] (analytic) = 1.2214027581600937 " " y[1] (numeric) = 1.2214027581601699 " " absolute error = 7.61612994892857400000000000000E-14 " " relative error = 6.235559808626452000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999981 " " Order of pole (six term test) = -10.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.20999999999993774 " " y[1] (analytic) = 1.2336780599566664 " " y[1] (numeric) = 1.2336780599567432 " " absolute error = 7.68274333040608300000000000000E-14 " " relative error = 6.2275107094600880000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.21999999999993775 " " y[1] (analytic) = 1.2460767305873033 " " y[1] (numeric) = 1.2460767305873808 " " absolute error = 7.74935671188359300000000000000E-14 " " relative error = 6.219004433403672000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22999999999993775 " " y[1] (analytic) = 1.2586000099293995 " " y[1] (numeric) = 1.2586000099294778 " " absolute error = 7.83817455385360500000000000000E-14 " " relative error = 6.227693065323656000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 151850024.99880266 " " Order of pole (six term test) = -329853488332812.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.23999999999993776 " " y[1] (analytic) = 1.2712491503213257 " " y[1] (numeric) = 1.2712491503214047 " " absolute error = 7.90478793533111500000000000000E-14 " " relative error = 6.218126425754598000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24999999999993777 " " y[1] (analytic) = 1.2840254166876617 " " y[1] (numeric) = 1.2840254166877416 " " absolute error = 7.99360577730112700000000000000E-14 " " relative error = 6.22542643892661000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 90747747.10335568 " " Order of pole (six term test) = -31414617936468.36 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.2599999999999378 " " y[1] (analytic) = 1.2969300866656912 " " y[1] (numeric) = 1.296930086665772 " " absolute error = 8.0824236192711400000000000000E-14 " " relative error = 6.2319655487756000000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2699999999999378 " " y[1] (analytic) = 1.3099644507331658 " " y[1] (numeric) = 1.3099644507332475 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 6.237758174786988000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2799999999999378 " " y[1] (analytic) = 1.3231298123373547 " " y[1] (numeric) = 1.323129812337437 " " absolute error = 8.23785484271866200000000000000E-14 " " relative error = 6.226036754599464000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2899999999999378 " " y[1] (analytic) = 1.336427488025389 " " y[1] (numeric) = 1.3364274880254723 " " absolute error = 8.32667268468867400000000000000E-14 " " relative error = 6.230545809104524000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2999999999999378 " " y[1] (analytic) = 1.3498588075759193 " " y[1] (numeric) = 1.3498588075760032 " " absolute error = 8.39328606616618300000000000000E-14 " " relative error = 6.217899249210274000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999981 " " Order of pole (six term test) = -10.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.3099999999999378 " " y[1] (analytic) = 1.363425114132093 " " y[1] (numeric) = 1.3634251141321778 " " absolute error = 8.48210390813619600000000000000E-14 " " relative error = 6.221173293801029000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31999999999993783 " " y[1] (analytic) = 1.3771277643358715 " " y[1] (numeric) = 1.3771277643359572 " " absolute error = 8.57092175010620800000000000000E-14 " " relative error = 6.223766575673965000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.32999999999993784 " " y[1] (analytic) = 1.3909681284636939 " " y[1] (numeric) = 1.3909681284637803 " " absolute error = 8.63753513158371800000000000000E-14 " " relative error = 6.209729004447976000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.33999999999993785 " " y[1] (analytic) = 1.4049475905635065 " " y[1] (numeric) = 1.4049475905635938 " " absolute error = 8.7263529735537300000000000000E-14 " " relative error = 6.211159072527184000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.34999999999993786 " " y[1] (analytic) = 1.419067548593169 " " y[1] (numeric) = 1.4190675485932571 " " absolute error = 8.81517081552374300000000000000E-14 " " relative error = 6.211945882535966000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.35999999999993787 " " y[1] (analytic) = 1.4333294145602513 " " y[1] (numeric) = 1.4333294145603401 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 6.196610567519961000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999959 " " Order of pole (six term test) = -11.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.3699999999999379 " " y[1] (analytic) = 1.4477346146632346 " " y[1] (numeric) = 1.4477346146633243 " " absolute error = 8.97060203897126500000000000000E-14 " " relative error = 6.1963027948032900000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3799999999999379 " " y[1] (analytic) = 1.4622845894341336 " " y[1] (numeric) = 1.4622845894342245 " " absolute error = 9.0816243414337800000000000000E-14 " " relative error = 6.210572420070524000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3899999999999379 " " y[1] (analytic) = 1.4769807938825508 " " y[1] (numeric) = 1.4769807938826425 " " absolute error = 9.17044218340379300000000000000E-14 " " relative error = 6.208910922461883000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3999999999999379 " " y[1] (analytic) = 1.4918246976411778 " " y[1] (numeric) = 1.4918246976412701 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 6.191783511485377000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999959 " " Order of pole (six term test) = -11.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.4099999999999379 " " y[1] (analytic) = 1.50681778511276 " " y[1] (numeric) = 1.5068177851128535 " " absolute error = 9.34807786734381800000000000000E-14 " " relative error = 6.203854214956901000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4199999999999379 " " y[1] (analytic) = 1.5219615556185393 " " y[1] (numeric) = 1.5219615556186337 " " absolute error = 9.4368957093138310000000000000E-14 " " relative error = 6.200482314731391000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42999999999993793 " " y[1] (analytic) = 1.537257523548186 " " y[1] (numeric) = 1.5372575235482813 " " absolute error = 9.52571355128384300000000000000E-14 " " relative error = 6.196563298839666000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.43999999999993794 " " y[1] (analytic) = 1.5527072185112396 " " y[1] (numeric) = 1.552707218511336 " " absolute error = 9.63673585374635900000000000000E-14 " " relative error = 6.206408870170781000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 185977539.33796808 " " Order of pole (six term test) = -219902325555212. " " " " "TOP MAIN SOLVE Loop" x[1] = 0.44999999999993795 " " y[1] (analytic) = 1.5683121854900715 " " y[1] (numeric) = 1.5683121854901687 " " absolute error = 9.72555369571637100000000000000E-14 " " relative error = 6.201286826498321000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.45999999999993796 " " y[1] (analytic) = 1.5840739849943835 " " y[1] (numeric) = 1.5840739849944816 " " absolute error = 9.81437153768638400000000000000E-14 " " relative error = 6.1956522426704600000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.46999999999993797 " " y[1] (analytic) = 1.599994193217261 " " y[1] (numeric) = 1.59999419321736 " " absolute error = 9.90318937965639600000000000000E-14 " " relative error = 6.1895158255187840000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.479999999999938 " " y[1] (analytic) = 1.616074402192793 " " y[1] (numeric) = 1.6160744021928932 " " absolute error = 1.00142116821189120000000000000E-13 " " relative error = 6.1966278709266040000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -219902325555212.2 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.489999999999938 " " y[1] (analytic) = 1.6323162199552776 " " y[1] (numeric) = 1.632316219955379 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 6.202985586248012000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.499999999999938 " " y[1] (analytic) = 1.6487212707000258 " " y[1] (numeric) = 1.648721270700128 " " absolute error = 1.0214051826551440000000000000E-13 " " relative error = 6.195135592697658000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.509999999999938 " " y[1] (analytic) = 1.665291194945783 " " y[1] (numeric) = 1.6652911949458862 " " absolute error = 1.03250741290139560000000000000E-13 " " relative error = 6.200161365382173000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.519999999999938 " " y[1] (analytic) = 1.682027649698782 " " y[1] (numeric) = 1.6820276496988862 " " absolute error = 1.04138919709839680000000000000E-13 " " relative error = 6.19127276109218000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.529999999999938 " " y[1] (analytic) = 1.6989323086184454 " " y[1] (numeric) = 1.6989323086185504 " " absolute error = 1.05027098129539810000000000000E-13 " " relative error = 6.181947190994725000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.539999999999938 " " y[1] (analytic) = 1.716006862184752 " " y[1] (numeric) = 1.716006862184858 " " absolute error = 1.06137321154164970000000000000E-13 " " relative error = 6.185133841425036000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.549999999999938 " " y[1] (analytic) = 1.7332530178672878 " " y[1] (numeric) = 1.7332530178673948 " " absolute error = 1.07025499573865090000000000000E-13 " " relative error = 6.1748341685022160000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.559999999999938 " " y[1] (analytic) = 1.7506725002959924 " " y[1] (numeric) = 1.7506725002961008 " " absolute error = 1.08357767203415280000000000000E-13 " " relative error = 6.18949387650145100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.569999999999938 " " y[1] (analytic) = 1.7682670514336256 " " y[1] (numeric) = 1.7682670514337349 " " absolute error = 1.0924594562311540000000000000E-13 " " relative error = 6.178136132466194000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.579999999999938 " " y[1] (analytic) = 1.7860384307499626 " " y[1] (numeric) = 1.7860384307500732 " " absolute error = 1.10578213252665590000000000000E-13 " " relative error = 6.1912560977892000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.589999999999938 " " y[1] (analytic) = 1.8039884153977452 " " y[1] (numeric) = 1.8039884153978567 " " absolute error = 1.11466391672365720000000000000E-13 " " relative error = 6.178886223489938000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.599999999999938 " " y[1] (analytic) = 1.822118800390396 " " y[1] (numeric) = 1.8221188003905087 " " absolute error = 1.12576614696990870000000000000E-13 " " relative error = 6.178335609778621000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -219902325555212.2 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.609999999999938 " " y[1] (analytic) = 1.8404313987815235 " " y[1] (numeric) = 1.8404313987816372 " " absolute error = 1.13686837721616030000000000000E-13 " " relative error = 6.177184207837553000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.619999999999938 " " y[1] (analytic) = 1.8589280418462268 " " y[1] (numeric) = 1.8589280418463419 " " absolute error = 1.15019105351166220000000000000E-13 " " relative error = 6.187388794077956000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999981 " " Order of pole (six term test) = -10.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.629999999999938 " " y[1] (analytic) = 1.8776105792642268 " " y[1] (numeric) = 1.877610579264343 " " absolute error = 1.16129328375791370000000000000E-13 " " relative error = 6.184952814938793000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6399999999999381 " " y[1] (analytic) = 1.896480879304834 " " y[1] (numeric) = 1.8964808793049512 " " absolute error = 1.17239551400416530000000000000E-13 " " relative error = 6.181952725164905000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6499999999999381 " " y[1] (analytic) = 1.9155408290137774 " " y[1] (numeric) = 1.915540829013896 " " absolute error = 1.18571819029966720000000000000E-13 " " relative error = 6.189991736746943000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6599999999999381 " " y[1] (analytic) = 1.9347923344019118 " " y[1] (numeric) = 1.9347923344020315 " " absolute error = 1.19682042054591880000000000000E-13 " " relative error = 6.185782315061131000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999981 " " Order of pole (six term test) = -10.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.6699999999999381 " " y[1] (analytic) = 1.9542373206358186 " " y[1] (numeric) = 1.9542373206359394 " " absolute error = 1.20792265079217030000000000000E-13 " " relative error = 6.181043817130502000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999975 " " Order of pole (six term test) = -11. " " " " "TOP MAIN SOLVE Loop" x[1] = 0.6799999999999381 " " y[1] (analytic) = 1.9738777322303254 " " y[1] (numeric) = 1.9738777322304475 " " absolute error = 1.22124532708767220000000000000E-13 " " relative error = 6.1870363454972550000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -219902325555212.2 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.6899999999999381 " " y[1] (analytic) = 1.993715533242959 " " y[1] (numeric) = 1.9937155332430823 " " absolute error = 1.23234755733392380000000000000E-13 " " relative error = 6.181160435307432000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6999999999999381 " " y[1] (analytic) = 2.013752707470352 " " y[1] (numeric) = 2.0137527074704766 " " absolute error = 1.2478906796786760000000000000E-13 " " relative error = 6.196841722667422000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7099999999999381 " " y[1] (analytic) = 2.033991258646625 " " y[1] (numeric) = 2.0339912586467506 " " absolute error = 1.25677246387567720000000000000E-13 " " relative error = 6.1788488939323530000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7199999999999381 " " y[1] (analytic) = 2.0544332106437606 " " y[1] (numeric) = 2.0544332106438876 " " absolute error = 1.2700951401711790000000000000E-13 " " relative error = 6.182216747621561000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7299999999999381 " " y[1] (analytic) = 2.0750806076739945 " " y[1] (numeric) = 2.0750806076741224 " " absolute error = 1.27897692436818030000000000000E-13 " " relative error = 6.1635047797098110000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7399999999999382 " " y[1] (analytic) = 2.095935514494235 " " y[1] (numeric) = 2.0959355144943643 " " absolute error = 1.29229960066368220000000000000E-13 " " relative error = 6.165741224989566000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7499999999999382 " " y[1] (analytic) = 2.1170000166125438 " " y[1] (numeric) = 2.1170000166126743 " " absolute error = 1.3056222769591840000000000000E-13 " " relative error = 6.1673229414912220000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7599999999999382 " " y[1] (analytic) = 2.1382762204966865 " " y[1] (numeric) = 2.1382762204968184 " " absolute error = 1.3189449532546860000000000000E-13 " " relative error = 6.1682627371140890000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999975 " " Order of pole (six term test) = -219902325555211.5 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.7699999999999382 " " y[1] (analytic) = 2.1597662537847815 " " y[1] (numeric) = 2.1597662537849147 " " absolute error = 1.33226762955018780000000000000E-13 " " relative error = 6.1685732296979710000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7799999999999382 " " y[1] (analytic) = 2.181472265498066 " " y[1] (numeric) = 2.1814722654982006 " " absolute error = 1.34559030584568970000000000000E-13 " " relative error = 6.168266849537366000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.39999959 " " Order of pole (six term test) = -11.75 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.7899999999999382 " " y[1] (analytic) = 2.2033964262558006 " " y[1] (numeric) = 2.203396426255936 " " absolute error = 1.3544720900426910000000000000E-13 " " relative error = 6.147201084211277000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7999999999999382 " " y[1] (analytic) = 2.22554092849233 " " y[1] (numeric) = 2.225540928492467 " " absolute error = 1.36779476633819290000000000000E-13 " " relative error = 6.145898054837353000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19.000000000000004 " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -219902325555212.2 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.8099999999999382 " " y[1] (analytic) = 2.2479079866763327 " " y[1] (numeric) = 2.247907986676471 " " absolute error = 1.38111744263369470000000000000E-13 " " relative error = 6.144012347568372000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" Radius of convergence (ratio test) for eq 1 = 19. " " "Order of pole (ratio test) Not computed" "NO REAL POLE (three term test) for Equation 1" Radius of convergence (six term test) for eq 1 = 107374182.40000008 " " Order of pole (six term test) = -219902325555212.2 " " "Finished!" "Maximum Time Reached before Solution Completed!" "diff ( y , x , 1 ) = y;" Iterations = 582 "Total Elapsed Time "= 0 Years 0 Days 0 Hours 3 Minutes 0 Seconds "Elapsed Time(since restart) "= 0 Years 0 Days 0 Hours 2 Minutes 58 Seconds "Expected Time Remaining "= 0 Years 0 Days 0 Hours 2 Minutes 9 Seconds "Optimized Time Remaining "= 0 Years 0 Days 0 Hours 2 Minutes 7 Seconds "Expected Total Time "= 0 Years 0 Days 0 Hours 5 Minutes 8 Seconds "Time to Timeout " Unknown Percent Done = 58.29999999999937 "%" (%o58) true (%o58) diffeq.max