##############ECHO OF PROBLEM################# ##############temp/expt_lin_lin_newpostode.ode################# diff ( y , x , 1 ) = expt( 2.0 * x + 1.0 , 3.0 * x + 2.0 ) * ( 3.0 * ln( 2.0 * x + 1.0 )+ ( 2.0 * ( 3.0 * x + 2.0 ) ) / ( 2.0 * x + 1.0) ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=1.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=1000000; glob_max_h=0.00001; /* 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 */ double exact_soln_y (double x) { return(expt(2.0*x+1.0,3.0*x+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 = 0.9 estimated_steps = 900000.0000000001 step_error = 1.111111111111111e-16 est_needed_step_err = 1.111111111111111e-16 opt_iter = 1 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.059527025082971e-152 estimated_step_error = 1.059527025082971e-152 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 = 1.473230175068733e-142 estimated_step_error = 1.473230175068733e-142 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 = 9.886657497008327e-135 estimated_step_error = 9.886657497008327e-135 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 = 6.634792866711529e-127 estimated_step_error = 6.634792866711529e-127 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 = 4.452492961488412e-119 estimated_step_error = 4.452492961488412e-119 best_h = 1e-05 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 1.520956754552532 y[1] (numeric) = 1.520956754552532 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1100099999999961 y[1] (analytic) = 1.589416016111751 y[1] (numeric) = 1.589416016877971 absolute error = 7.66219754311237e-10 relative error = 4.820762761568678e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4482 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 = 1.767 Order of pole (six term test) = -97.67 TOP MAIN SOLVE Loop x[1] = 0.1200099999999922 y[1] (analytic) = 1.661477678093273 y[1] (numeric) = 1.66147767885952 absolute error = 7.662472878422477e-10 relative error = 4.611842204955774e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4556 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 = 1.679 Order of pole (six term test) = -81.01 TOP MAIN SOLVE Loop x[1] = 0.1300099999999953 y[1] (analytic) = 1.737421092673896 y[1] (numeric) = 1.737421093440119 absolute error = 7.662233070249158e-10 relative error = 4.410118596210294e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4629 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 = 1.672 Order of pole (six term test) = -74.56 TOP MAIN SOLVE Loop x[1] = 0.1400000000000053 y[1] (analytic) = 1.817389968552543 y[1] (numeric) = 1.817389969318682 absolute error = 7.661391521196492e-10 relative error = 4.215601303939405e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4703 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 = 1.715 Order of pole (six term test) = -73.13 TOP MAIN SOLVE Loop x[1] = 0.1500000000000153 y[1] (analytic) = 1.901784104483919 y[1] (numeric) = 1.901784105249976 absolute error = 7.660563294820122e-10 relative error = 4.028093029465583e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4777 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 = 1.797 Order of pole (six term test) = -75.2 TOP MAIN SOLVE Loop x[1] = 0.1600000000000253 y[1] (analytic) = 1.990780368343364 y[1] (numeric) = 1.99078036910933 absolute error = 7.659652911939929e-10 relative error = 3.847563012847037e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4851 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 = 1.921 Order of pole (six term test) = -80.66 TOP MAIN SOLVE Loop x[1] = 0.1700000000000353 y[1] (analytic) = 2.084649490500211 y[1] (numeric) = 2.084649491266079 absolute error = 7.658678136124308e-10 relative error = 3.673844534069183e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4912 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 = 2.098 Order of pole (six term test) = -90.52 TOP MAIN SOLVE Loop x[1] = 0.1800000000000453 y[1] (analytic) = 2.183679149148946 y[1] (numeric) = 2.183679149914715 absolute error = 7.657687817186343e-10 relative error = 3.506782496032351e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4968 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 = 2.359 Order of pole (six term test) = -107.6 TOP MAIN SOLVE Loop x[1] = 0.1900000000000553 y[1] (analytic) = 2.288175082965221 y[1] (numeric) = 2.28817508373089 absolute error = 7.656684175572082e-10 relative error = 3.346196815345908e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5018 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 = 2.775 Order of pole (six term test) = -140 TOP MAIN SOLVE Loop x[1] = 0.2000000000000653 y[1] (analytic) = 2.39846227969988 y[1] (numeric) = 2.398462280465438 absolute error = 7.655582834331653e-10 relative error = 3.19187126648896e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5062 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 = 3.569 Order of pole (six term test) = -217.7 TOP MAIN SOLVE Loop x[1] = 0.2100000000000753 y[1] (analytic) = 2.51488624608273 y[1] (numeric) = 2.514886246848175 absolute error = 7.654441525062339e-10 relative error = 3.043653181922303e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5098 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 = 6.215 Order of pole (six term test) = -619.4 TOP MAIN SOLVE Loop x[1] = 0.2200000000000853 y[1] (analytic) = 2.637814364797841 y[1] (numeric) = 2.637814365563164 absolute error = 7.653233602411547e-10 relative error = 2.901354130353324e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5123 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000953 y[1] (analytic) = 2.767637344711443 y[1] (numeric) = 2.767637345476637 absolute error = 7.651945743702981e-10 relative error = 2.764793500971054e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5135 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000001053 y[1] (analytic) = 2.904770770984286 y[1] (numeric) = 2.904770771749338 absolute error = 7.650520217339363e-10 relative error = 2.633777609496867e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5131 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000001153 y[1] (analytic) = 3.049656762184943 y[1] (numeric) = 3.049656762949842 absolute error = 7.64898810956538e-10 relative error = 2.508147213290069e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5107 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000001253 y[1] (analytic) = 3.20276574204164 y[1] (numeric) = 3.202765742806386 absolute error = 7.647460442683496e-10 relative error = 2.387767654155228e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.5058 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000001353 y[1] (analytic) = 3.364598334030522 y[1] (numeric) = 3.364598334795104 absolute error = 7.645817312607051e-10 relative error = 2.272430927423056e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4978 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000001453 y[1] (analytic) = 3.535687387600901 y[1] (numeric) = 3.535687388365313 absolute error = 7.644120891825423e-10 relative error = 2.161990033008052e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 0.4859 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000001553 y[1] (analytic) = 3.716600145486073 y[1] (numeric) = 3.716600146250306 absolute error = 7.642326771417629e-10 relative error = 2.056268221562514e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000001653 y[1] (analytic) = 3.907940562245493 y[1] (numeric) = 3.907940563009539 absolute error = 7.64045715584416e-10 relative error = 1.955110891311503e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000001753 y[1] (analytic) = 4.110351784933933 y[1] (numeric) = 4.110351785697781 absolute error = 7.638485399752426e-10 relative error = 1.858353201726066e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000001853 y[1] (analytic) = 4.324518807600128 y[1] (numeric) = 4.324518808363764 absolute error = 7.636353771545146e-10 relative error = 1.765827392893894e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000001953 y[1] (analytic) = 4.551171312185456 y[1] (numeric) = 4.551171312948849 absolute error = 7.633929044459364e-10 relative error = 1.677354799635872e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000002053 y[1] (analytic) = 4.791086709327331 y[1] (numeric) = 4.791086710090491 absolute error = 7.63160201699975e-10 relative error = 1.592874953012743e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000002153 y[1] (analytic) = 5.04509339357734 y[1] (numeric) = 5.045093394340237 absolute error = 7.628964127093241e-10 relative error = 1.512155183649385e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000002253 y[1] (analytic) = 5.314074228626133 y[1] (numeric) = 5.314074229388753 absolute error = 7.626201892207973e-10 relative error = 1.43509510106704e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000002353 y[1] (analytic) = 5.598970279291816 y[1] (numeric) = 5.598970280054158 absolute error = 7.623421893754312e-10 relative error = 1.361575702937748e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000002453 y[1] (analytic) = 5.900784808282486 y[1] (numeric) = 5.900784809044536 absolute error = 7.620499786753498e-10 relative error = 1.291438348345999e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000002553 y[1] (analytic) = 6.220587557093526 y[1] (numeric) = 6.220587557855246 absolute error = 7.617195763032214e-10 relative error = 1.224513873186479e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000002653 y[1] (analytic) = 6.559519331853952 y[1] (numeric) = 6.559519332615332 absolute error = 7.61380292146896e-10 relative error = 1.160725738621618e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000002753 y[1] (analytic) = 6.918796916501542 y[1] (numeric) = 6.918796917262559 absolute error = 7.610170271732386e-10 relative error = 1.099926817273954e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000002853 y[1] (analytic) = 7.299718337352473 y[1] (numeric) = 7.299718338113111 absolute error = 7.606377749880266e-10 relative error = 1.042009759603823e-08 % Correct digits = 10 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000002953 y[1] (analytic) = 7.703668504947269 y[1] (numeric) = 7.703668505707514 absolute error = 7.602443119480995e-10 relative error = 9.868601062725806e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000003053 y[1] (analytic) = 8.132125261011179 y[1] (numeric) = 8.132125261771002 absolute error = 7.598224271987419e-10 relative error = 9.343466840601306e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000003153 y[1] (analytic) = 8.586665860474859 y[1] (numeric) = 8.586665861234213 absolute error = 7.593534689931403e-10 relative error = 8.843403031303545e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000003253 y[1] (analytic) = 9.068973920772217 y[1] (numeric) = 9.068973921531104 absolute error = 7.58886287144378e-10 relative error = 8.367939898979876e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 4.123 Order of pole (three term test) = -3982 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000003353 y[1] (analytic) = 9.580846873079601 y[1] (numeric) = 9.580846873837988 absolute error = 7.583871308725065e-10 relative error = 7.91565861472469e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.343 Order of pole (three term test) = -1296 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000003453 y[1] (analytic) = 10.12420395279795 y[1] (numeric) = 10.1242039535558 absolute error = 7.578471183933289e-10 relative error = 7.485498335737186e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7246 Order of pole (three term test) = -701 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000003553 y[1] (analytic) = 10.70109476942235 y[1] (numeric) = 10.70109477017963 absolute error = 7.572733551342026e-10 relative error = 7.076597034707695e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4573 Order of pole (three term test) = -445 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000003653 y[1] (analytic) = 11.31370849900782 y[1] (numeric) = 11.31370849976446 absolute error = 7.566427484562155e-10 relative error = 6.687840229599084e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.311 Order of pole (three term test) = -305.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000003198 y[1] (analytic) = 11.96438374573996 y[1] (numeric) = 11.96438374649959 absolute error = 7.596270279464079e-10 relative error = 6.349069405408203e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2205 Order of pole (three term test) = -220.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000002742 y[1] (analytic) = 12.6556191227032 y[1] (numeric) = 12.65561912346593 absolute error = 7.627285469880007e-10 relative error = 6.026797579738513e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1602 Order of pole (three term test) = -163.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000002287 y[1] (analytic) = 13.39008460572624 y[1] (numeric) = 13.39008460649232 absolute error = 7.660752032734308e-10 relative error = 5.721212567587663e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1181 Order of pole (three term test) = -125 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000001832 y[1] (analytic) = 14.17063371839683 y[1] (numeric) = 14.17063371916645 absolute error = 7.696261405953919e-10 relative error = 5.431134244873153e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08765 Order of pole (three term test) = -97.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000001377 y[1] (analytic) = 15.0003166107534 y[1] (numeric) = 15.00031661152679 absolute error = 7.733866880244022e-10 relative error = 5.155802427996607e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06504 Order of pole (three term test) = -76.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000922 y[1] (analytic) = 15.88239409900061 y[1] (numeric) = 15.88239409977803 absolute error = 7.774207944066802e-10 relative error = 4.894858983858102e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04791 Order of pole (three term test) = -61.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000467 y[1] (analytic) = 16.82035273879011 y[1] (numeric) = 16.82035273957185 absolute error = 7.817320124559046e-10 relative error = 4.647536378075592e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0347 Order of pole (three term test) = -50.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000012 y[1] (analytic) = 17.81792101021699 y[1] (numeric) = 17.81792101100329 absolute error = 7.863008022468421e-10 relative error = 4.412977259221032e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02432 Order of pole (three term test) = -41.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900099999999556 y[1] (analytic) = 18.88018109482638 y[1] (numeric) = 18.88018109561755 absolute error = 7.911680199867988e-10 relative error = 4.190468385939358e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.565 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.016 Order of pole (three term test) = -35.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000099999999101 y[1] (analytic) = 20.00928005473505 y[1] (numeric) = 20.00928005553129 absolute error = 7.962412951201259e-10 relative error = 3.97936004165078e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.626 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.009173 Order of pole (three term test) = -30.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100099999998646 y[1] (analytic) = 21.21081069338661 y[1] (numeric) = 21.21081069418828 absolute error = 8.016769470486906e-10 relative error = 3.779567686673326e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.678 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 0.003391 Order of pole (three term test) = -26.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200099999998191 y[1] (analytic) = 22.48965669164186 y[1] (numeric) = 22.48965669244936 absolute error = 8.074998447682447e-10 relative error = 3.590538778959426e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.722 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300099999997736 y[1] (analytic) = 23.8510444662709 y[1] (numeric) = 23.8510444670846 absolute error = 8.136993301377515e-10 relative error = 3.411587829155446e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.76 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400099999997281 y[1] (analytic) = 25.30056804282567 y[1] (numeric) = 25.30056804364595 absolute error = 8.202825085845689e-10 relative error = 3.242150560398867e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.793 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500099999996826 y[1] (analytic) = 26.84421578655163 y[1] (numeric) = 26.84421578737896 absolute error = 8.273346452369879e-10 relative error = 3.081984781434609e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.799 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600099999996371 y[1] (analytic) = 28.48839913371492 y[1] (numeric) = 28.48839913454976 absolute error = 8.348344238129357e-10 relative error = 2.930436420433823e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.803 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700099999995915 y[1] (analytic) = 30.23998347688239 y[1] (numeric) = 30.23998347772519 absolute error = 8.42806713308164e-10 relative error = 2.787060759978477e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.806 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.680009999999546 y[1] (analytic) = 32.10632136974571 y[1] (numeric) = 32.10632137059702 absolute error = 8.513154625688912e-10 relative error = 2.651550929067505e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.81 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900099999995005 y[1] (analytic) = 34.09528823010088 y[1] (numeric) = 34.09528823096118 absolute error = 8.603038281762565e-10 relative error = 2.52323377462092e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.815 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.700009999999455 y[1] (analytic) = 36.21532073365865 y[1] (numeric) = 36.21532073452862 absolute error = 8.699743148099515e-10 relative error = 2.402227281674725e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.819 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100099999994095 y[1] (analytic) = 38.47545810655649 y[1] (numeric) = 38.47545810743684 absolute error = 8.803482387520489e-10 relative error = 2.288077340921982e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.823 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.720009999999364 y[1] (analytic) = 40.88538654085972 y[1] (numeric) = 40.88538654175098 absolute error = 8.912550697459665e-10 relative error = 2.179886617569999e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.827 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300099999993185 y[1] (analytic) = 43.4554869750801 y[1] (numeric) = 43.45548697598306 absolute error = 9.029648140312929e-10 relative error = 2.077907479322704e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.831 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.740009999999273 y[1] (analytic) = 46.19688650091138 y[1] (numeric) = 46.19688650182671 absolute error = 9.153282576335187e-10 relative error = 1.981363522443143e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.835 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500099999992275 y[1] (analytic) = 49.12151367810231 y[1] (numeric) = 49.12151367903087 absolute error = 9.285585633733717e-10 relative error = 1.890329702497157e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.84 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.760009999999182 y[1] (analytic) = 52.24215806178464 y[1] (numeric) = 52.2421580627273 absolute error = 9.426628366782097e-10 relative error = 1.804410215143412e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.844 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700099999991364 y[1] (analytic) = 55.57253427078553 y[1] (numeric) = 55.57253427174334 absolute error = 9.578116078046151e-10 relative error = 1.723534152928017e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.848 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800099999990909 y[1] (analytic) = 59.12735095162966 y[1] (numeric) = 59.12735095260361 absolute error = 9.739551387610845e-10 relative error = 1.647215921372578e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.851 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900099999990454 y[1] (analytic) = 62.92238502123912 y[1] (numeric) = 62.92238502223034 absolute error = 9.91221327240055e-10 relative error = 1.575307939941363e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.855 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000099999989999 y[1] (analytic) = 66.9745616019439 y[1] (numeric) = 66.97456160295363 absolute error = 1.009723860079248e-09 relative error = 1.507622948068601e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.859 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100099999989544 y[1] (analytic) = 71.30204009551397 y[1] (numeric) = 71.30204009654338 absolute error = 1.029405893859803e-09 relative error = 1.443725722967874e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.863 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200099999989089 y[1] (analytic) = 75.92430687872115 y[1] (numeric) = 75.92430687977161 absolute error = 1.050452169693017e-09 relative error = 1.383551872750017e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.866 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300099999988634 y[1] (analytic) = 80.86227514166106 y[1] (numeric) = 80.86227514273413 absolute error = 1.073075850399619e-09 relative error = 1.327041378095926e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.87 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400099999988179 y[1] (analytic) = 86.13839243195277 y[1] (numeric) = 86.13839243304976 absolute error = 1.096992718885303e-09 relative error = 1.273523556585875e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.873 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500099999987724 y[1] (analytic) = 91.77675651325319 y[1] (numeric) = 91.77675651437583 absolute error = 1.122643311646243e-09 relative error = 1.223232716318675e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.877 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600099999987268 y[1] (analytic) = 97.80324019555707 y[1] (numeric) = 97.80324019670728 absolute error = 1.150212369793735e-09 relative error = 1.17604730425484e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.88 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700099999986813 y[1] (analytic) = 104.2456258478148 y[1] (numeric) = 104.2456258489945 absolute error = 1.179671471618349e-09 relative error = 1.131626830405831e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.883 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800099999986358 y[1] (analytic) = 111.1337503608235 y[1] (numeric) = 111.1337503620349 absolute error = 1.211361677633249e-09 relative error = 1.090003418133789e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.887 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900099999985903 y[1] (analytic) = 118.4996613904961 y[1] (numeric) = 118.4996613917408 absolute error = 1.244700342795113e-09 relative error = 1.050383037545912e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.89 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000099999985448 y[1] (analytic) = 126.3777857788888 y[1] (numeric) = 126.377785780169 absolute error = 1.280227479583118e-09 relative error = 1.013016228835509e-09 % Correct digits = 11 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.893 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 69.16 Order of pole (three term test) = 2.033e+04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100099999984993 y[1] (analytic) = 134.8051111231914 y[1] (numeric) = 134.8051111245093 absolute error = 1.317886244578403e-09 relative error = 9.77623350923286e-10 % Correct digits = 12 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.896 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 18.07 Order of pole (three term test) = 5291 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200099999984538 y[1] (analytic) = 143.8213815417301 y[1] (numeric) = 143.8213815430887 absolute error = 1.358586132482742e-09 relative error = 9.446343220451857e-10 % Correct digits = 12 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.898 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 11.43 Order of pole (three term test) = 3335 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300099999984083 y[1] (analytic) = 153.4693087714019 y[1] (numeric) = 153.469308772804 absolute error = 1.402156613039551e-09 relative error = 9.136397526414318e-10 % Correct digits = 12 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.901 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 8.868 Order of pole (three term test) = 2579 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400099999983628 y[1] (analytic) = 163.7947998234018 y[1] (numeric) = 163.794799824851 absolute error = 1.4492229638563e-09 relative error = 8.847795933807454e-10 % Correct digits = 12 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.904 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 7.546 Order of pole (three term test) = 2188 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500099999983173 y[1] (analytic) = 174.8472025242149 y[1] (numeric) = 174.8472025257144 absolute error = 1.499472546129255e-09 relative error = 8.575902413546423e-10 % Correct digits = 12 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.906 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 6.761 Order of pole (three term test) = 1955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600099999982717 y[1] (analytic) = 186.6795703772734 y[1] (numeric) = 186.6795703788268 absolute error = 1.553445372337592e-09 relative error = 8.32145354308524e-10 % Correct digits = 12 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.909 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 6.258 Order of pole (three term test) = 1804 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700099999982262 y[1] (analytic) = 199.3489482981245 y[1] (numeric) = 199.3489482997355 absolute error = 1.61097091222473e-09 relative error = 8.081160828676845e-10 % Correct digits = 12 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.911 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 5.919 Order of pole (three term test) = 1702 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800099999981807 y[1] (analytic) = 212.916680903181 y[1] (numeric) = 212.9166809048536 absolute error = 1.672589178269845e-09 relative error = 7.855604225910402e-10 % Correct digits = 12 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.914 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 5.685 Order of pole (three term test) = 1631 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900099999981352 y[1] (analytic) = 227.4487451699604 y[1] (numeric) = 227.4487451716995 absolute error = 1.73903913491813e-09 relative error = 7.645850644806319e-10 % Correct digits = 12 h = 1e-05 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 = 1.916 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 = 5.521 Order of pole (three term test) = 1580 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = expt( 2.0 * x + 1.0 , 3.0 * x + 2.0 ) * ( 3.0 * ln( 2.0 * x + 1.0 )+ ( 2.0 * ( 3.0 * x + 2.0 ) ) / ( 2.0 * x + 1.0) ) ; Iterations = 90001 Total Elapsed Time = 5 Seconds Elapsed Time(since restart) = 5 Seconds Time to Timeout = 2 Minutes 55 Seconds Percent Done = 100 %