##############ECHO OF PROBLEM################# ##############temp/lin_sinhpostode.ode################# diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.0; x_end=10.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=10; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.1; glob_look_poles=true; glob_max_iter=10000000; glob_max_minutes=3; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(cosh(2.0*x+3.0)/2.0); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1e-10 range = 10 estimated_steps = 10000000 step_error = 1e-17 est_needed_step_err = 1e-17 opt_iter = 1 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.376439869141598e-175 estimated_step_error = 8.376439869141598e-175 best_h = 2e-06 opt_iter = 2 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.621333432656029e-167 estimated_step_error = 5.621333432656029e-167 best_h = 4e-06 opt_iter = 3 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.772412730251475e-159 estimated_step_error = 3.772412730251475e-159 best_h = 8e-06 opt_iter = 4 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.531622955462366e-151 estimated_step_error = 2.531622955462366e-151 best_h = 1.6e-05 opt_iter = 5 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.698942905272192e-143 estimated_step_error = 1.698942905272192e-143 best_h = 3.2e-05 opt_iter = 6 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.140140611437133e-135 estimated_step_error = 1.140140611437133e-135 best_h = 6.4e-05 opt_iter = 7 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 7.651345099912693e-128 estimated_step_error = 7.651345099912693e-128 best_h = 0.000128 opt_iter = 8 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.134718666135003e-120 estimated_step_error = 5.134718666135003e-120 best_h = 0.000256 opt_iter = 9 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.445835111035466e-112 estimated_step_error = 3.445835111035466e-112 best_h = 0.000512 opt_iter = 10 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.312438980394838e-104 estimated_step_error = 2.312438980394838e-104 best_h = 0.001024 opt_iter = 11 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.551822246093402e-96 estimated_step_error = 1.551822246093402e-96 best_h = 0.002048 opt_iter = 12 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.041370973706314e-88 estimated_step_error = 1.041370973706314e-88 best_h = 0.004096 opt_iter = 13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 6.987994677735304e-81 estimated_step_error = 6.987994677735304e-81 best_h = 0.008192 opt_iter = 14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.68885551941909e-73 estimated_step_error = 4.68885551941909e-73 best_h = 0.016384 opt_iter = 15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.145686556597941e-65 estimated_step_error = 3.145686556597941e-65 best_h = 0.032768 opt_iter = 16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.109756820352931e-57 estimated_step_error = 2.109756820352931e-57 best_h = 0.065536 opt_iter = 17 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.414115925079803e-49 estimated_step_error = 1.414115925079803e-49 best_h = 0.131072 opt_iter = 18 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 9.466832861434501e-42 estimated_step_error = 9.466832861434501e-42 best_h = 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] = 0 y[1] (analytic) = 5.033830997888883 y[1] (numeric) = 5.033830997888883 absolute error = 0 relative error = 0 % Correct digits = 16 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 6.14332310027193 y[1] (numeric) = 6.143323074190485 absolute error = 2.608144544780089e-08 relative error = 4.245494665036649e-07 % Correct digits = 9 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2 y[1] (analytic) = 7.499368329339334 y[1] (numeric) = 7.499368271377122 absolute error = 5.796221191900486e-08 relative error = 7.728945875646984e-07 % Correct digits = 9 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3 y[1] (analytic) = 9.15638954153132 y[1] (numeric) = 9.156389444609527 absolute error = 9.692179325782035e-08 relative error = 1.058515398653639e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4 y[1] (analytic) = 11.18088881628925 y[1] (numeric) = 11.18088867176548 absolute error = 1.445237689523537e-07 relative error = 1.292596423477528e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5 y[1] (analytic) = 13.65411641800824 y[1] (numeric) = 13.65411621532966 absolute error = 2.026785796971353e-07 relative error = 1.484377117437091e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6 y[1] (analytic) = 16.67533165443641 y[1] (numeric) = 16.67533138071623 absolute error = 2.737201789670962e-07 relative error = 1.641467675962379e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7 y[1] (analytic) = 20.3657865012178 y[1] (numeric) = 20.36578614071809 absolute error = 3.604997118600295e-07 relative error = 1.770124182724163e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7999999999999999 y[1] (analytic) = 24.8735918694196 y[1] (numeric) = 24.87359140291967 absolute error = 4.664999337933295e-07 relative error = 1.875482786090334e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8999999999999999 y[1] (analytic) = 30.37966181644597 y[1] (numeric) = 30.37966122047093 absolute error = 5.959750382089624e-07 relative error = 1.961756657496209e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9999999999999999 y[1] (analytic) = 37.10497426239392 y[1] (numeric) = 37.10497350827261 absolute error = 7.541213093986698e-07 relative error = 2.032399494649362e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.1 y[1] (analytic) = 45.31943960989295 y[1] (numeric) = 45.3194386626073 absolute error = 9.472856561387744e-07 relative error = 2.090241327547192e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.2 y[1] (analytic) = 55.35273319628244 y[1] (numeric) = 55.35273201306187 absolute error = 1.183220575740052e-06 relative error = 2.137600995319086e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.3 y[1] (analytic) = 67.60752632246725 y[1] (numeric) = 67.60752485107248 absolute error = 1.471394767804668e-06 relative error = 2.176377169586955e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.4 y[1] (analytic) = 82.57564686609857 y[1] (numeric) = 82.57564504272464 absolute error = 1.823373921183702e-06 relative error = 2.208125507197556e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.5 y[1] (analytic) = 100.8578180612279 y[1] (numeric) = 100.857815807944 absolute error = 2.253283895470304e-06 relative error = 2.234119217314813e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.6 y[1] (analytic) = 123.1877676309733 y[1] (numeric) = 123.1877648525944 absolute error = 2.778378856760355e-06 relative error = 2.255401579386835e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.7 y[1] (analytic) = 150.4616748573389 y[1] (numeric) = 150.4616714376066 absolute error = 3.419732252041285e-06 relative error = 2.272826123518647e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.8 y[1] (analytic) = 183.7741374025029 y[1] (numeric) = 183.7741331994185 absolute error = 4.203084415621561e-06 relative error = 2.287092446754871e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900000000000001 y[1] (analytic) = 224.4621013563915 y[1] (numeric) = 224.4620961965182 absolute error = 5.159873325055742e-06 relative error = 2.298772618573641e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2 y[1] (analytic) = 274.1585175776063 y[1] (numeric) = 274.1585112491074 absolute error = 6.32849889825593e-06 relative error = 2.308335686293065e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.100000000000001 y[1] (analytic) = 334.8578777450569 y[1] (numeric) = 334.857869989195 absolute error = 7.755861872738024e-06 relative error = 2.316165271358175e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.200000000000001 y[1] (analytic) = 408.9962603121724 y[1] (numeric) = 408.996250812925 absolute error = 9.499247425992507e-06 relative error = 2.322575619332575e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.300000000000001 y[1] (analytic) = 499.5490988888886 y[1] (numeric) = 499.5490872602648 absolute error = 1.162862378123464e-05 relative error = 2.327823993096846e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.400000000000001 y[1] (analytic) = 610.1505968398704 y[1] (numeric) = 610.1505826104203 absolute error = 1.422945013018762e-05 relative error = 2.332120988471643e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.500000000000001 y[1] (analytic) = 745.2395806260904 y[1] (numeric) = 745.2395632199834 absolute error = 1.740610696288059e-05 relative error = 2.335639090486495e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.600000000000001 y[1] (analytic) = 910.2376454964838 y[1] (numeric) = 910.2376242103985 absolute error = 2.128608525708842e-05 relative error = 2.338519546231033e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.700000000000001 y[1] (analytic) = 1111.766743141797 y[1] (numeric) = 1111.766717116698 absolute error = 2.602509971438849e-05 relative error = 2.34087769533768e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.800000000000001 y[1] (analytic) = 1357.914943867195 y[1] (numeric) = 1357.91491205385 absolute error = 3.181334523105761e-05 relative error = 2.342808389784461e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.900000000000001 y[1] (analytic) = 1658.561039252744 y[1] (numeric) = 1658.561000369617 absolute error = 3.888312721755938e-05 relative error = 2.34438928066693e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.000000000000001 y[1] (analytic) = 2025.771012746304 y[1] (numeric) = 2025.770965228126 absolute error = 4.751817868964281e-05 relative error = 2.345683613333138e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.100000000000001 y[1] (analytic) = 2474.282289945837 y[1] (numeric) = 2474.282231880787 absolute error = 5.806504987049266e-05 relative error = 2.346743138664414e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.200000000000002 y[1] (analytic) = 3022.095203235269 y[1] (numeric) = 3022.095132288241 absolute error = 7.094702777976636e-05 relative error = 2.3476106147753e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.300000000000002 y[1] (analytic) = 3691.195408326514 y[1] (numeric) = 3691.195321645397 absolute error = 8.668111740917084e-05 relative error = 2.348321013123217e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.400000000000002 y[1] (analytic) = 4508.436245820048 y[1] (numeric) = 4508.436139921268 absolute error = 0.0001058987791111576 relative error = 2.348902664628798e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.500000000000002 y[1] (analytic) = 5506.616460051681 y[1] (numeric) = 5506.616330680408 absolute error = 0.0001293712730330299 relative error = 2.349378678750684e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.600000000000002 y[1] (analytic) = 6725.796527866989 y[1] (numeric) = 6725.796369826347 absolute error = 0.0001580406415087054 relative error = 2.349768400722439e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.700000000000002 y[1] (analytic) = 8214.906426218982 y[1] (numeric) = 8214.906233161479 absolute error = 0.0001930575035657967 relative error = 2.350087676587862e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.800000000000002 y[1] (analytic) = 10033.709363948 y[1] (numeric) = 10033.70912812081 absolute error = 0.0002358271940465784 relative error = 2.35034906326793e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.900000000000002 y[1] (analytic) = 12255.20028919536 y[1] (numeric) = 12255.20000112917 absolute error = 0.0002880661886592861 relative error = 2.35056287830119e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.000000000000002 y[1] (analytic) = 14968.53543297493 y[1] (numeric) = 14968.53508110389 absolute error = 0.0003518710436765105 relative error = 2.350737954638877e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.100000000000001 y[1] (analytic) = 18282.61046177248 y[1] (numeric) = 18282.61003197001 absolute error = 0.0004298024723539129 relative error = 2.350881310153146e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.200000000000001 y[1] (analytic) = 22330.43084300031 y[1] (numeric) = 22330.43031801218 absolute error = 0.0005249881287454627 relative error = 2.350998654869328e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.300000000000001 y[1] (analytic) = 27274.44982141846 y[1] (numeric) = 27274.4491801703 absolute error = 0.0006412481561710592 relative error = 2.351094743870841e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.4 y[1] (analytic) = 33313.0882382589 y[1] (numeric) = 33313.08745501043 absolute error = 0.0007832484698155895 relative error = 2.351173401318154e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.5 y[1] (analytic) = 40688.69785628704 y[1] (numeric) = 40688.69689959899 absolute error = 0.0009566880471538752 relative error = 2.35123780695295e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.6 y[1] (analytic) = 49697.28778699621 y[1] (numeric) = 49697.28661846858 absolute error = 0.001168527625850402 relative error = 2.351290538950012e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.699999999999999 y[1] (analytic) = 60700.40437561045 y[1] (numeric) = 60700.40294834138 absolute error = 0.001427269075065851 relative error = 2.351333718032579e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.799999999999999 y[1] (analytic) = 74139.64132539358 y[1] (numeric) = 74139.63958209699 absolute error = 0.001743296583299525 relative error = 2.351369054576784e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.899999999999999 y[1] (analytic) = 90554.36240350192 y[1] (numeric) = 90554.36027420845 absolute error = 0.002129293468897231 relative error = 2.351398002681853e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.999999999999998 y[1] (analytic) = 110603.3480027948 y[1] (numeric) = 110603.3454020437 absolute error = 0.002600751104182564 relative error = 2.351421680396914e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.099999999999998 y[1] (analytic) = 135091.2343121351 y[1] (numeric) = 135091.2311355443 absolute error = 0.003176590806106105 relative error = 2.35144109999501e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.199999999999998 y[1] (analytic) = 165000.8061919171 y[1] (numeric) = 165000.8023119942 absolute error = 0.003879922936903313 relative error = 2.351456957362053e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.299999999999997 y[1] (analytic) = 201532.4397813065 y[1] (numeric) = 201532.4350423318 absolute error = 0.004738974792417139 relative error = 2.351469965609333e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.399999999999997 y[1] (analytic) = 246152.2778075111 y[1] (numeric) = 246152.272019288 absolute error = 0.005788223061244935 relative error = 2.351480600870683e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.499999999999996 y[1] (analytic) = 300651.0710413999 y[1] (numeric) = 300651.0639716221 absolute error = 0.007069777813740075 relative error = 2.351489315920834e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.599999999999996 y[1] (analytic) = 367216.0474136911 y[1] (numeric) = 367216.0387786187 absolute error = 0.008635072328615934 relative error = 2.351496452683072e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.699999999999996 y[1] (analytic) = 448518.6931516891 y[1] (numeric) = 448518.6826047617 absolute error = 0.01054692739853635 relative error = 2.351502302930634e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.799999999999995 y[1] (analytic) = 547821.9689018115 y[1] (numeric) = 547821.956019739 absolute error = 0.01288207247853279 relative error = 2.351507097160921e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.899999999999995 y[1] (analytic) = 669111.2637973608 y[1] (numeric) = 669111.2480631359 absolute error = 0.01573422492947429 relative error = 2.351510993878497e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.999999999999995 y[1] (analytic) = 817254.3431180954 y[1] (numeric) = 817254.3239002434 absolute error = 0.01921785203740001 relative error = 2.351514213320366e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.099999999999994 y[1] (analytic) = 998196.7088027881 y[1] (numeric) = 998196.6853300243 absolute error = 0.02347276371438056 relative error = 2.351516841057631e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.199999999999994 y[1] (analytic) = 1219200.213318103 y[1] (numeric) = 1219200.184648379 absolute error = 0.02866972447372973 relative error = 2.351518984376152e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.299999999999994 y[1] (analytic) = 1489134.503296177 y[1] (numeric) = 1489134.46827887 absolute error = 0.03501730691641569 relative error = 2.351520755103411e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.399999999999993 y[1] (analytic) = 1818832.989597407 y[1] (numeric) = 1818832.946827145 absolute error = 0.04277026164345443 relative error = 2.351522206165916e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.499999999999993 y[1] (analytic) = 2221527.630126964 y[1] (numeric) = 2221527.577887223 absolute error = 0.05223974119871855 relative error = 2.351523361234672e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.599999999999993 y[1] (analytic) = 2713379.974766087 y[1] (numeric) = 2713379.910960296 absolute error = 0.06380579061806202 relative error = 2.351524342754927e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.699999999999992 y[1] (analytic) = 3314129.785115859 y[1] (numeric) = 3314129.707183264 absolute error = 0.07793259480968118 relative error = 2.351525132168496e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.799999999999992 y[1] (analytic) = 4047887.260441271 y[1] (numeric) = 4047887.165254158 absolute error = 0.09518711222335696 relative error = 2.351525773792928e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.899999999999991 y[1] (analytic) = 4944100.664624372 y[1] (numeric) = 4944100.548362545 absolute error = 0.1162618277594447 relative error = 2.351526306721704e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.999999999999991 y[1] (analytic) = 6038738.188393728 y[1] (numeric) = 6038738.046391184 absolute error = 0.1420025434345007 relative error = 2.351526742911711e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.099999999999991 y[1] (analytic) = 7375731.479111237 y[1] (numeric) = 7375731.305668913 absolute error = 0.173442323692143 relative error = 2.351527088307755e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.19999999999999 y[1] (analytic) = 9008738.772035245 y[1] (numeric) = 9008738.560192285 absolute error = 0.2118429597467184 relative error = 2.351527390319245e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.29999999999999 y[1] (analytic) = 11003298.3837083 y[1] (numeric) = 11003298.1249627 absolute error = 0.258745601400733 relative error = 2.351527627241636e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.39999999999999 y[1] (analytic) = 13439458.99472064 y[1] (numeric) = 13439458.67868803 absolute error = 0.3160326164215803 relative error = 2.351527814815506e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.499999999999989 y[1] (analytic) = 16414992.28433228 y[1] (numeric) = 16414991.89832915 absolute error = 0.3860031347721815 relative error = 2.351527969590411e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.599999999999989 y[1] (analytic) = 20049316.85126134 y[1] (numeric) = 20049316.37979602 absolute error = 0.4714653193950653 relative error = 2.351528098900809e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.699999999999989 y[1] (analytic) = 24488290.90135776 y[1] (numeric) = 24488290.32550868 absolute error = 0.5758490711450577 relative error = 2.35152822001608e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.799999999999988 y[1] (analytic) = 29910066.04954693 y[1] (numeric) = 29910065.34620326 absolute error = 0.7033436708152294 relative error = 2.351528310402656e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.899999999999988 y[1] (analytic) = 36532237.16966945 y[1] (numeric) = 36532236.31060352 absolute error = 0.8590659275650978 relative error = 2.351528387312479e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.999999999999988 y[1] (analytic) = 44620575.24079571 y[1] (numeric) = 44620574.19153019 absolute error = 1.049265518784523 relative error = 2.351528444270705e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.099999999999987 y[1] (analytic) = 54499693.66980122 y[1] (numeric) = 54499692.3882254 absolute error = 1.281575821340084 relative error = 2.351528485838476e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.199999999999987 y[1] (analytic) = 66566076.16717951 y[1] (numeric) = 66566074.60185924 absolute error = 1.565320268273354 relative error = 2.351528523841603e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.299999999999986 y[1] (analytic) = 81303989.03049295 y[1] (numeric) = 81303987.11860642 absolute error = 1.911886528134346 relative error = 2.351528566965264e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.399999999999986 y[1] (analytic) = 99304916.4512682 y[1] (numeric) = 99304914.11608471 absolute error = 2.33518348634243 relative error = 2.35152857460826e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.499999999999986 y[1] (analytic) = 121291298.8524441 y[1] (numeric) = 121291296.0002445 absolute error = 2.852199599146843 relative error = 2.351528614279794e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.599999999999985 y[1] (analytic) = 148145526.9592046 y[1] (numeric) = 148145523.4755201 absolute error = 3.483684450387955 relative error = 2.351528609667217e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.699999999999985 y[1] (analytic) = 180945355.2370642 y[1] (numeric) = 180945350.9820823 absolute error = 4.254981815814972 relative error = 2.351528620472375e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.799999999999985 y[1] (analytic) = 221007155.9628217 y[1] (numeric) = 221007150.7657752 absolute error = 5.197046548128128 relative error = 2.351528630594381e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.899999999999984 y[1] (analytic) = 269938749.8661251 y[1] (numeric) = 269938743.5184381 absolute error = 6.347687005996704 relative error = 2.351528637198183e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.999999999999984 y[1] (analytic) = 329703933.6207931 y[1] (numeric) = 329703925.8677107 absolute error = 7.753082394599915 relative error = 2.351528630385427e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.099999999999984 y[1] (analytic) = 402701293.900694 y[1] (numeric) = 402701284.4310577 absolute error = 9.46963632106781 relative error = 2.351528655232734e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.199999999999983 y[1] (analytic) = 491860471.0849765 y[1] (numeric) = 491860459.5187365 absolute error = 11.56623995304108 relative error = 2.351528661680729e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.299999999999983 y[1] (analytic) = 600759736.0131503 y[1] (numeric) = 600759721.8861129 absolute error = 14.12703740596771 relative error = 2.351528665972128e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.399999999999983 y[1] (analytic) = 733769598.5580368 y[1] (numeric) = 733769581.3032343 absolute error = 17.25480246543884 relative error = 2.351528667765334e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.499999999999982 y[1] (analytic) = 896228211.532866 y[1] (numeric) = 896228190.4578028 absolute error = 21.07506322860718 relative error = 2.351528657255878e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.599999999999982 y[1] (analytic) = 1094655609.507198 y[1] (numeric) = 1094655583.766057 absolute error = 25.74114036560059 relative error = 2.351528658149294e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.699999999999982 y[1] (analytic) = 1337015380.687593 y[1] (numeric) = 1337015349.247293 absolute error = 31.44029998779297 relative error = 2.351528669148446e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.799999999999981 y[1] (analytic) = 1633034273.674394 y[1] (numeric) = 1633034235.273125 absolute error = 38.40126895904541 relative error = 2.351528659140815e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.899999999999981 y[1] (analytic) = 1994592566.035993 y[1] (numeric) = 1994592519.132577 absolute error = 46.90341591835022 relative error = 2.351528663899765e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.99999999999998 y[1] (analytic) = 2436200861.56213 y[1] (numeric) = 2436200804.274169 absolute error = 57.28796148300171 relative error = 2.351528660336643e-06 % Correct digits = 8 h = 0.1 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sinh (2.0 * x + 3.0) ; Iterations = 101 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 102 %