##############ECHO OF PROBLEM################# ##############temp/lin_lnpostode.ode################# diff ( y , x , 1 ) = ln (0.1 * x + 0.2) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=20.0; x_end=30.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_max_iter=20; /* 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(10.0* (0.1 * x + 0.2) * ln(0.1 * x + 0.2) - 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 = 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 = 4.231746207512714e-193 estimated_step_error = 4.231746207512714e-193 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 = 2.83987674746315e-185 estimated_step_error = 2.83987674746315e-185 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 = 1.905808944011858e-177 estimated_step_error = 1.905808944011858e-177 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 = 1.27896662467964e-169 estimated_step_error = 1.27896662467964e-169 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 = 8.582998282667539e-162 estimated_step_error = 8.582998282667539e-162 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 = 5.759950705261011e-154 estimated_step_error = 5.759950705261011e-154 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 = 3.865434882275968e-146 estimated_step_error = 3.865434882275968e-146 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 = 2.594045944495313e-138 estimated_step_error = 2.594045944495313e-138 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 = 1.740830075897033e-130 estimated_step_error = 1.740830075897033e-130 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 = 1.168244994563305e-122 estimated_step_error = 1.168244994563305e-122 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 = 7.839874976767511e-115 estimated_step_error = 7.839874976767511e-115 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 = 5.261137667076485e-107 estimated_step_error = 5.261137667076485e-107 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 = 3.530537570618526e-99 estimated_step_error = 3.530537570618526e-99 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 = 2.369099469290054e-91 estimated_step_error = 2.369099469290054e-91 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 = 1.58960175620858e-83 estimated_step_error = 1.58960175620858e-83 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 = 1.066396135552219e-75 estimated_step_error = 1.066396135552219e-75 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 = 7.151535337832601e-68 estimated_step_error = 7.151535337832601e-68 best_h = 0.131072 opt_iter = 18 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.792713644320033e-60 estimated_step_error = 4.792713644320033e-60 best_h = 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] = 20 y[1] (analytic) = -4.653938071986055 y[1] (numeric) = -4.653938071986055 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 = 22 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.1 y[1] (analytic) = -4.574865406794476 y[1] (numeric) = -4.574865406794481 absolute error = 4.440892098500626e-15 relative error = 9.707153552332105e-14 % 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 = 22.1 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.2 y[1] (analytic) = -4.495340251371015 y[1] (numeric) = -4.495340251371023 absolute error = 7.993605777301127e-15 relative error = 1.778198163056332e-13 % Correct digits = 15 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 = 22.2 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.3 y[1] (analytic) = -4.415364643973778 y[1] (numeric) = -4.415364643973787 absolute error = 9.769962616701378e-15 relative error = 2.212719311877382e-13 % Correct digits = 15 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 = 22.3 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.40000000000001 y[1] (analytic) = -4.33494060458035 y[1] (numeric) = -4.334940604580352 absolute error = 2.664535259100376e-15 relative error = 6.146647675599052e-14 % 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 = 22.4 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.50000000000001 y[1] (analytic) = -4.254070135132594 y[1] (numeric) = -4.254070135132602 absolute error = 7.993605777301127e-15 relative error = 1.879048892796869e-13 % Correct digits = 15 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 = 22.5 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.60000000000001 y[1] (analytic) = -4.172755219777191 y[1] (numeric) = -4.172755219777203 absolute error = 1.243449787580175e-14 relative error = 2.97992506650455e-13 % Correct digits = 15 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 = 22.6 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.70000000000001 y[1] (analytic) = -4.09099782510182 y[1] (numeric) = -4.090997825101832 absolute error = 1.243449787580175e-14 relative error = 3.039477997153977e-13 % Correct digits = 15 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 = 22.7 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.80000000000001 y[1] (analytic) = -4.008799900367215 y[1] (numeric) = -4.008799900367232 absolute error = 1.687538997430238e-14 relative error = 4.209586508110958e-13 % Correct digits = 15 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 = 22.8 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.90000000000001 y[1] (analytic) = -3.926163377735193 y[1] (numeric) = -3.926163377735203 absolute error = 9.769962616701378e-15 relative error = 2.488424876077668e-13 % Correct digits = 15 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 = 22.9 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.00000000000001 y[1] (analytic) = -3.843090172492595 y[1] (numeric) = -3.843090172492607 absolute error = 1.199040866595169e-14 relative error = 3.119991498449493e-13 % Correct digits = 15 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 = 23 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.10000000000002 y[1] (analytic) = -3.759582183271462 y[1] (numeric) = -3.759582183271478 absolute error = 1.643130076445232e-14 relative error = 4.370512456826879e-13 % Correct digits = 15 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 = 23.1 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.20000000000002 y[1] (analytic) = -3.675641292265308 y[1] (numeric) = -3.675641292265327 absolute error = 1.953992523340276e-14 relative error = 5.316058798915127e-13 % Correct digits = 15 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 = 23.2 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.30000000000002 y[1] (analytic) = -3.591269365441683 y[1] (numeric) = -3.591269365441704 absolute error = 2.131628207280301e-14 relative error = 5.935584302844785e-13 % Correct digits = 15 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 = 23.3 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.40000000000002 y[1] (analytic) = -3.506468252751109 y[1] (numeric) = -3.506468252751123 absolute error = 1.4210854715202e-14 relative error = 4.05275442150444e-13 % Correct digits = 15 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 = 23.4 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.50000000000002 y[1] (analytic) = -3.421239788332393 y[1] (numeric) = -3.42123978833241 absolute error = 1.687538997430238e-14 relative error = 4.932536454139601e-13 % Correct digits = 15 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 = 23.5 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.60000000000002 y[1] (analytic) = -3.335585790714532 y[1] (numeric) = -3.335585790714557 absolute error = 2.486899575160351e-14 relative error = 7.455660658116726e-13 % Correct digits = 15 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 = 23.6 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.70000000000002 y[1] (analytic) = -3.249508063015128 y[1] (numeric) = -3.249508063015154 absolute error = 2.664535259100376e-14 relative error = 8.199811194276674e-13 % Correct digits = 15 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 = 23.7 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.80000000000003 y[1] (analytic) = -3.163008393135449 y[1] (numeric) = -3.163008393135475 absolute error = 2.575717417130363e-14 relative error = 8.143251920293161e-13 % Correct digits = 15 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 = 23.8 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.90000000000003 y[1] (analytic) = -3.076088553952253 y[1] (numeric) = -3.076088553952277 absolute error = 2.353672812205332e-14 relative error = 7.651511882456247e-13 % Correct digits = 15 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 = 23.9 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.00000000000003 y[1] (analytic) = -2.988750303506375 y[1] (numeric) = -2.9887503035064 absolute error = 2.442490654175344e-14 relative error = 8.17228073991272e-13 % Correct digits = 15 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 = 24 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.10000000000003 y[1] (analytic) = -2.900995385188185 y[1] (numeric) = -2.900995385188215 absolute error = 2.930988785010413e-14 relative error = 1.010339002942013e-12 % Correct digits = 14 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 = 24.1 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.20000000000003 y[1] (analytic) = -2.812825527919966 y[1] (numeric) = -2.812825527919998 absolute error = 3.241851231905457e-14 relative error = 1.152524818808349e-12 % Correct digits = 14 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 = 24.2 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.30000000000003 y[1] (analytic) = -2.724242446335253 y[1] (numeric) = -2.72424244633529 absolute error = 3.68594044175552e-14 relative error = 1.353014834165724e-12 % Correct digits = 14 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 = 24.3 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.40000000000003 y[1] (analytic) = -2.635247840955273 y[1] (numeric) = -2.635247840955301 absolute error = 2.797762022055394e-14 relative error = 1.061669410586145e-12 % Correct digits = 14 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 = 24.4 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.50000000000004 y[1] (analytic) = -2.545843398362393 y[1] (numeric) = -2.545843398362424 absolute error = 3.108624468950438e-14 relative error = 1.2210587936988e-12 % Correct digits = 14 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 = 24.5 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.60000000000004 y[1] (analytic) = -2.456030791370885 y[1] (numeric) = -2.45603079137092 absolute error = 3.419486915845482e-14 relative error = 1.392281777516651e-12 % Correct digits = 14 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 = 24.6 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.70000000000004 y[1] (analytic) = -2.365811679194778 y[1] (numeric) = -2.365811679194817 absolute error = 3.907985046680551e-14 relative error = 1.651858041385045e-12 % Correct digits = 14 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 = 24.7 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.80000000000004 y[1] (analytic) = -2.275187707613064 y[1] (numeric) = -2.275187707613104 absolute error = 4.04121180963557e-14 relative error = 1.776210286348316e-12 % Correct digits = 14 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 = 24.8 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.90000000000004 y[1] (analytic) = -2.184160509132219 y[1] (numeric) = -2.184160509132252 absolute error = 3.241851231905457e-14 relative error = 1.484255034531993e-12 % Correct digits = 14 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 = 24.9 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.00000000000004 y[1] (analytic) = -2.092731703146082 y[1] (numeric) = -2.09273170314612 absolute error = 3.730349362740526e-14 relative error = 1.782526330122754e-12 % Correct digits = 14 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 = 25 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.10000000000004 y[1] (analytic) = -2.000902896093272 y[1] (numeric) = -2.000902896093314 absolute error = 4.130029651605582e-14 relative error = 2.064082999564543e-12 % Correct digits = 14 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 = 25.1 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.20000000000005 y[1] (analytic) = -1.908675681611985 y[1] (numeric) = -1.908675681612031 absolute error = 4.574118861455645e-14 relative error = 2.396488259122441e-12 % Correct digits = 14 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 = 25.2 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.30000000000005 y[1] (analytic) = -1.8160516406924 y[1] (numeric) = -1.816051640692445 absolute error = 4.485301019485632e-14 relative error = 2.469809183276053e-12 % Correct digits = 14 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 = 25.3 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.40000000000005 y[1] (analytic) = -1.723032341826645 y[1] (numeric) = -1.723032341826687 absolute error = 4.174438572590589e-14 relative error = 2.422727926374919e-12 % Correct digits = 14 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 = 25.4 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.50000000000005 y[1] (analytic) = -1.629619341156417 y[1] (numeric) = -1.629619341156458 absolute error = 4.152234112098085e-14 relative error = 2.547977927870911e-12 % Correct digits = 14 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 = 25.5 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.60000000000005 y[1] (analytic) = -1.535814182618285 y[1] (numeric) = -1.535814182618335 absolute error = 4.951594689828198e-14 relative error = 3.224084492686886e-12 % Correct digits = 14 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 = 25.6 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.70000000000005 y[1] (analytic) = -1.441618398086742 y[1] (numeric) = -1.441618398086794 absolute error = 5.195843755245733e-14 relative error = 3.604174143546896e-12 % Correct digits = 14 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 = 25.7 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.80000000000005 y[1] (analytic) = -1.347033507514968 y[1] (numeric) = -1.347033507515022 absolute error = 5.395683899678261e-14 relative error = 4.00560481203791e-12 % Correct digits = 14 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 = 25.8 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.90000000000006 y[1] (analytic) = -1.252061019073484 y[1] (numeric) = -1.252061019073533 absolute error = 4.951594689828198e-14 relative error = 3.954755091323219e-12 % Correct digits = 14 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 = 25.9 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.00000000000006 y[1] (analytic) = -1.1567024292866 y[1] (numeric) = -1.156702429286649 absolute error = 4.862776847858186e-14 relative error = 4.203999857471829e-12 % Correct digits = 14 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 = 26 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.10000000000006 y[1] (analytic) = -1.060959223166826 y[1] (numeric) = -1.060959223166881 absolute error = 5.484501741648273e-14 relative error = 5.169380332335248e-12 % Correct digits = 14 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 = 26.1 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.20000000000006 y[1] (analytic) = -0.9648328743471914 y[1] (numeric) = -0.9648328743472501 absolute error = 5.861977570020827e-14 relative error = 6.075640378637654e-12 % Correct digits = 14 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 = 26.2 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.30000000000006 y[1] (analytic) = -0.8683248452115286 y[1] (numeric) = -0.8683248452115888 absolute error = 6.017408793468348e-14 relative error = 6.929905123240456e-12 % Correct digits = 14 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 = 26.3 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.40000000000006 y[1] (analytic) = -0.7714365870227908 y[1] (numeric) = -0.7714365870228587 absolute error = 6.783462680459706e-14 relative error = 8.793286181355695e-12 % Correct digits = 14 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 = 26.4 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.50000000000006 y[1] (analytic) = -0.6741695400494692 y[1] (numeric) = -0.6741695400495258 absolute error = 5.662137425588298e-14 relative error = 8.398684736146374e-12 % Correct digits = 14 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 = 26.5 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.60000000000007 y[1] (analytic) = -0.5765251336899624 y[1] (numeric) = -0.5765251336900278 absolute error = 6.539213615042172e-14 relative error = 1.134246060217517e-11 % Correct digits = 13 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 = 26.6 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.70000000000007 y[1] (analytic) = -0.4785047865953018 y[1] (numeric) = -0.4785047865953696 absolute error = 6.777911565336581e-14 relative error = 1.416477275716165e-11 % Correct digits = 13 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 = 26.7 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.80000000000007 y[1] (analytic) = -0.3801099067898122 y[1] (numeric) = -0.3801099067898819 absolute error = 6.977751709769109e-14 relative error = 1.835719507733738e-11 % Correct digits = 13 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 = 26.8 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.90000000000007 y[1] (analytic) = -0.281341891790106 y[1] (numeric) = -0.2813418917901778 absolute error = 7.177591854201637e-14 relative error = 2.551199115258829e-11 % Correct digits = 13 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 = 26.9 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.00000000000007 y[1] (analytic) = -0.1822021287222739 y[1] (numeric) = -0.1822021287223402 absolute error = 6.622480341889059e-14 relative error = 3.634688786750421e-11 % Correct digits = 13 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 = 27 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.10000000000007 y[1] (analytic) = -0.08269199443730102 y[1] (numeric) = -0.08269199443737309 absolute error = 7.206735208598047e-14 relative error = 8.715154662356537e-11 % Correct digits = 13 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 = 27.1 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.20000000000007 y[1] (analytic) = 0.01718714437512503 y[1] (numeric) = 0.01718714437505071 absolute error = 7.431555371084642e-14 relative error = 4.323903499548383e-10 % Correct digits = 12 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 = 27.2 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.30000000000008 y[1] (analytic) = 0.11743393107459 y[1] (numeric) = 0.1174339310745155 absolute error = 7.446820937673237e-14 relative error = 6.341285580351793e-11 % Correct digits = 13 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 = 27.3 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.40000000000008 y[1] (analytic) = 0.2180470189595098 y[1] (numeric) = 0.2180470189594301 absolute error = 7.971401316808624e-14 relative error = 3.655817609819683e-11 % Correct digits = 13 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 = 27.4 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.50000000000008 y[1] (analytic) = 0.3190250711582756 y[1] (numeric) = 0.3190250711582077 absolute error = 6.794564910705958e-14 relative error = 2.129790265710816e-11 % Correct digits = 13 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 = 27.5 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.60000000000008 y[1] (analytic) = 0.4203667605221035 y[1] (numeric) = 0.4203667605220283 absolute error = 7.527312106958561e-14 relative error = 1.790653499246585e-11 % Correct digits = 13 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 = 27.6 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.70000000000008 y[1] (analytic) = 0.5220707695192388 y[1] (numeric) = 0.5220707695191559 absolute error = 8.293365993949919e-14 relative error = 1.588552065764391e-11 % Correct digits = 13 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 = 27.7 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.80000000000008 y[1] (analytic) = 0.6241357901308646 y[1] (numeric) = 0.624135790130781 absolute error = 8.359979375427429e-14 relative error = 1.339448803869197e-11 % Correct digits = 13 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 = 27.8 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.90000000000008 y[1] (analytic) = 0.7265605237484465 y[1] (numeric) = 0.7265605237483628 absolute error = 8.37108160567368e-14 relative error = 1.152152000013141e-11 % Correct digits = 13 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 = 27.9 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.00000000000009 y[1] (analytic) = 0.8293436810725225 y[1] (numeric) = 0.8293436810724419 absolute error = 8.060219158778636e-14 relative error = 9.71879251356327e-12 % Correct digits = 14 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 = 28 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.10000000000009 y[1] (analytic) = 0.932483982012986 y[1] (numeric) = 0.9324839820129001 absolute error = 8.593126210598712e-14 relative error = 9.215307046935464e-12 % Correct digits = 14 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 = 28.1 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.20000000000009 y[1] (analytic) = 1.035980155590721 y[1] (numeric) = 1.035980155590638 absolute error = 8.260059303211165e-14 relative error = 7.973182940460126e-12 % Correct digits = 14 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 = 28.2 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.30000000000009 y[1] (analytic) = 1.139830939840742 y[1] (numeric) = 1.139830939840651 absolute error = 9.081624341433781e-14 relative error = 7.967518711768494e-12 % Correct digits = 14 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 = 28.3 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.40000000000009 y[1] (analytic) = 1.244035081716564 y[1] (numeric) = 1.244035081716469 absolute error = 9.525713551283843e-14 relative error = 7.657110069709546e-12 % Correct digits = 14 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 = 28.4 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.50000000000009 y[1] (analytic) = 1.348591336996037 y[1] (numeric) = 1.348591336995949 absolute error = 8.837375276016246e-14 relative error = 6.553041706245377e-12 % Correct digits = 14 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 = 28.5 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.60000000000009 y[1] (analytic) = 1.453498470188475 y[1] (numeric) = 1.453498470188384 absolute error = 9.059419880941277e-14 relative error = 6.232837575512925e-12 % Correct digits = 14 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 = 28.6 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.7000000000001 y[1] (analytic) = 1.55875525444301 y[1] (numeric) = 1.558755254442917 absolute error = 9.348077867343818e-14 relative error = 5.997142810392106e-12 % Correct digits = 14 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 = 28.7 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.8000000000001 y[1] (analytic) = 1.664360471458323 y[1] (numeric) = 1.664360471458225 absolute error = 9.836575998178887e-14 relative error = 5.910123538057844e-12 % Correct digits = 14 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 = 28.8 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.9000000000001 y[1] (analytic) = 1.770312911393564 y[1] (numeric) = 1.770312911393463 absolute error = 1.010302952408892e-13 relative error = 5.706917381140248e-12 % Correct digits = 14 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 = 28.9 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.0000000000001 y[1] (analytic) = 1.876611372780527 y[1] (numeric) = 1.876611372780436 absolute error = 9.059419880941277e-14 relative error = 4.827541819443504e-12 % Correct digits = 14 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 = 29 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.1000000000001 y[1] (analytic) = 1.983254662437091 y[1] (numeric) = 1.983254662436988 absolute error = 1.025846074753645e-13 relative error = 5.172538323913734e-12 % Correct digits = 14 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 = 29.1 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.2000000000001 y[1] (analytic) = 2.090241595381674 y[1] (numeric) = 2.090241595381574 absolute error = 9.947598300641403e-14 relative error = 4.759066283352281e-12 % Correct digits = 14 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 = 29.2 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.3000000000001 y[1] (analytic) = 2.197570994749114 y[1] (numeric) = 2.19757099474901 absolute error = 1.039168751049147e-13 relative error = 4.728715265773624e-12 % Correct digits = 14 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 = 29.3 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.40000000000011 y[1] (analytic) = 2.305241691707483 y[1] (numeric) = 2.305241691707369 absolute error = 1.141309269314661e-13 relative error = 4.95093106037527e-12 % Correct digits = 14 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 = 29.4 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.50000000000011 y[1] (analytic) = 2.413252525376109 y[1] (numeric) = 2.413252525376006 absolute error = 1.030286966852145e-13 relative error = 4.269287842935433e-12 % Correct digits = 14 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 = 29.5 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.60000000000011 y[1] (analytic) = 2.521602342744806 y[1] (numeric) = 2.521602342744699 absolute error = 1.070254995738651e-13 relative error = 4.244344865946073e-12 % Correct digits = 14 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 = 29.6 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.70000000000011 y[1] (analytic) = 2.630289998593987 y[1] (numeric) = 2.630289998593882 absolute error = 1.052491427344648e-13 relative error = 4.001427325151425e-12 % Correct digits = 14 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 = 29.7 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.80000000000011 y[1] (analytic) = 2.739314355416063 y[1] (numeric) = 2.739314355415947 absolute error = 1.159072837708663e-13 relative error = 4.231251646664761e-12 % Correct digits = 14 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 = 29.8 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.90000000000011 y[1] (analytic) = 2.848674283337729 y[1] (numeric) = 2.84867428333761 absolute error = 1.194599974496668e-13 relative error = 4.193529535770519e-12 % Correct digits = 14 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 = 29.9 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.00000000000011 y[1] (analytic) = 2.958368660043419 y[1] (numeric) = 2.958368660043309 absolute error = 1.105782132526656e-13 relative error = 3.737810461088466e-12 % Correct digits = 14 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 = 30 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.10000000000012 y[1] (analytic) = 3.068396370699745 y[1] (numeric) = 3.068396370699627 absolute error = 1.172395514004165e-13 relative error = 3.820873747601265e-12 % Correct digits = 14 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 = 30.1 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.20000000000012 y[1] (analytic) = 3.178756307880839 y[1] (numeric) = 3.178756307880722 absolute error = 1.167954621905665e-13 relative error = 3.674250268918216e-12 % Correct digits = 14 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 = 30.2 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.30000000000012 y[1] (analytic) = 3.289447371494859 y[1] (numeric) = 3.289447371494735 absolute error = 1.234568003383174e-13 relative error = 3.753116751711812e-12 % Correct digits = 14 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 = 30.3 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.40000000000012 y[1] (analytic) = 3.40046846871131 y[1] (numeric) = 3.400468468711181 absolute error = 1.283417816466681e-13 relative error = 3.774238250628636e-12 % Correct digits = 14 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 = 30.4 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.50000000000012 y[1] (analytic) = 3.511818513889402 y[1] (numeric) = 3.511818513889287 absolute error = 1.145750161413162e-13 relative error = 3.262555160187429e-12 % Correct digits = 14 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 = 30.5 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.60000000000012 y[1] (analytic) = 3.623496428507401 y[1] (numeric) = 3.623496428507276 absolute error = 1.256772463875677e-13 relative error = 3.468397137052981e-12 % Correct digits = 14 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 = 30.6 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.70000000000012 y[1] (analytic) = 3.735501141092691 y[1] (numeric) = 3.735501141092568 absolute error = 1.225686219186173e-13 relative error = 3.281182826322578e-12 % Correct digits = 14 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 = 30.7 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.80000000000013 y[1] (analytic) = 3.847831587153031 y[1] (numeric) = 3.8478315871529 absolute error = 1.310063169057685e-13 relative error = 3.40467907543476e-12 % Correct digits = 14 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 = 30.8 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.90000000000013 y[1] (analytic) = 3.960486709108466 y[1] (numeric) = 3.960486709108333 absolute error = 1.327826737451687e-13 relative error = 3.352685755510566e-12 % Correct digits = 14 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 = 30.9 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.00000000000013 y[1] (analytic) = 4.073465456224262 y[1] (numeric) = 4.073465456224139 absolute error = 1.234568003383174e-13 relative error = 3.030756039668268e-12 % Correct digits = 14 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 = 31 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.10000000000013 y[1] (analytic) = 4.186766784544695 y[1] (numeric) = 4.186766784544562 absolute error = 1.323385845353187e-13 relative error = 3.16087786460526e-12 % Correct digits = 14 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 = 31.1 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.20000000000013 y[1] (analytic) = 4.300389656827555 y[1] (numeric) = 4.300389656827422 absolute error = 1.332267629550188e-13 relative error = 3.09801607729895e-12 % Correct digits = 14 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 = 31.2 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.30000000000013 y[1] (analytic) = 4.414333042479697 y[1] (numeric) = 4.414333042479559 absolute error = 1.376676550535194e-13 relative error = 3.11865130538919e-12 % Correct digits = 14 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 = 31.3 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.40000000000013 y[1] (analytic) = 4.528595917493256 y[1] (numeric) = 4.528595917493111 absolute error = 1.447730824111204e-13 relative error = 3.196864658466981e-12 % Correct digits = 14 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 = 31.4 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.50000000000014 y[1] (analytic) = 4.643177264382714 y[1] (numeric) = 4.643177264382588 absolute error = 1.261213355974178e-13 relative error = 2.716272251005367e-12 % Correct digits = 14 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 = 31.5 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.60000000000014 y[1] (analytic) = 4.758076072122897 y[1] (numeric) = 4.758076072122761 absolute error = 1.358912982141192e-13 relative error = 2.856013568389396e-12 % Correct digits = 14 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 = 31.6 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.70000000000014 y[1] (analytic) = 4.873291336087462 y[1] (numeric) = 4.873291336087325 absolute error = 1.367794766338193e-13 relative error = 2.806716594613306e-12 % Correct digits = 14 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 = 31.7 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.80000000000014 y[1] (analytic) = 4.988822057988486 y[1] (numeric) = 4.988822057988345 absolute error = 1.412203687323199e-13 relative error = 2.830735734624709e-12 % Correct digits = 14 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 = 31.8 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.90000000000014 y[1] (analytic) = 5.1046672458166 y[1] (numeric) = 5.104667245816454 absolute error = 1.456612608308205e-13 relative error = 2.853491791265993e-12 % Correct digits = 14 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 = 31.9 Order of pole (three term test) = 28 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = ln (0.1 * x + 0.2) ; Iterations = 100 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 101 %