##############ECHO OF PROBLEM################# ##############temp/mtest4postode.ode################# diff ( y2 , x , 3 ) = m1 * cos ( x ) ; diff ( y1 , x , 1 ) = m1 * y2 ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=5.0; array_y1_init[0 + 1] = exact_soln_y1(x_start); array_y2_init[0 + 1] = exact_soln_y2(x_start); array_y2_init[1 + 1] = exact_soln_y2p(x_start); array_y2_init[2 + 1] = exact_soln_y2pp(x_start); glob_look_poles=true; glob_type_given_pole=3; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=100000000; glob_max_minutes=10.0; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y2 (double x) { return(sin(x)); } double exact_soln_y2p (double x) { return( cos(x)); } double exact_soln_y2pp (double x) { return( -sin(x)); } double exact_soln_y1 (double x) { return( cos(x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 4900000.000000001 step_error = 1.129384878631564e-15 est_needed_step_err = 1.129384878631564e-15 opt_iter = 1 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 min_size = 0.09983341664682815 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 4900000.000000001 step_error = 1.129384878631564e-15 est_needed_step_err = 1.129384878631564e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.674790358513323e-258 estimated_step_error = 2.674790358513323e-258 Double H and LOOP opt_iter = 2 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 min_size = 0.09983341664682815 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 2e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 2450000 step_error = 1.59719141249985e-15 est_needed_step_err = 1.59719141249985e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.838101935663099e-247 estimated_step_error = 1.838101935663099e-247 Double H and LOOP opt_iter = 3 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 min_size = 0.09983341664682815 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 4e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 1225000 step_error = 2.258769757263128e-15 est_needed_step_err = 2.258769757263128e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.263134028636665e-236 estimated_step_error = 1.263134028636665e-236 Double H and LOOP opt_iter = 4 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 min_size = 0.09983341664682815 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 8e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 612500.0000000001 step_error = 3.194382824999699e-15 est_needed_step_err = 3.194382824999699e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.680190902457671e-226 estimated_step_error = 8.680190902457671e-226 Double H and LOOP opt_iter = 5 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 min_size = 0.09983341664682815 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1.6e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 306250.0000000001 step_error = 4.517539514526256e-15 est_needed_step_err = 4.517539514526256e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.964981703152478e-215 estimated_step_error = 5.964981703152478e-215 Double H and LOOP opt_iter = 6 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 min_size = 0.09983341664682815 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 3.2e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 153125 step_error = 6.388765649999399e-15 est_needed_step_err = 6.388765649999399e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.099104124878064e-204 estimated_step_error = 4.099104124878064e-204 Double H and LOOP opt_iter = 7 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 min_size = 0.09983341664682815 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 6.4e-05 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 76562.50000000001 step_error = 9.035079029052511e-15 est_needed_step_err = 9.035079029052511e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.816882783259633e-193 estimated_step_error = 2.816882783259633e-193 Double H and LOOP opt_iter = 8 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 min_size = 0.09983341664682815 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 0.000128 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 38281.25000000001 step_error = 1.27775312999988e-14 est_needed_step_err = 1.27775312999988e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.935746940941988e-182 estimated_step_error = 1.935746940941988e-182 Double H and LOOP opt_iter = 9 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09933 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 Radius of convergence (three term test) for eq 2 = 0.09933 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 2 SETTING H FOR POLE ACCURACY START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y2[1] (analytic) = 0.09983341664682815 y2[1] (numeric) = 0.09983341664682815 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.000128 y1[1] (analytic) = 0.9950041652780258 y1[1] (numeric) = 0.9950041652780258 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1101120000000003 y2[1] (analytic) = 0.109889623231384 y2[1] (numeric) = 0.1098896232313837 absolute error = 2.498001805406602e-16 relative error = 2.273191709964098e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9939437965529361 y1[1] (numeric) = 0.9939437965529364 absolute error = 3.33066907387547e-16 relative error = 3.350963188689797e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1200960000000005 y2[1] (analytic) = 0.1198075163661816 y2[1] (numeric) = 0.1198075163661811 absolute error = 4.85722573273506e-16 relative error = 4.054191155995054e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.992797138907122 y1[1] (numeric) = 0.9927971389071221 absolute error = 1.110223024625157e-16 relative error = 1.118277824457973e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1300800000000002 y2[1] (analytic) = 0.1297134671562784 y2[1] (numeric) = 0.1297134671562781 absolute error = 2.775557561562891e-16 relative error = 2.139760521718927e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9915515198103915 y1[1] (numeric) = 0.9915515198103914 absolute error = 1.110223024625157e-16 relative error = 1.119682641238307e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1400639999999994 y2[1] (analytic) = 0.1396064881821659 y2[1] (numeric) = 0.1396064881821663 absolute error = 4.440892098500626e-16 relative error = 3.181006954852927e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9902070634253438 y1[1] (numeric) = 0.9902070634253437 absolute error = 1.110223024625157e-16 relative error = 1.121202893448014e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1500479999999985 y2[1] (analytic) = 0.1494855933131677 y2[1] (numeric) = 0.149485593313169 absolute error = 1.27675647831893e-15 relative error = 8.54100017280036e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9887639037666223 y1[1] (numeric) = 0.9887639037666219 absolute error = 3.33066907387547e-16 relative error = 3.36851806704061e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1600319999999977 y2[1] (analytic) = 0.1593497978057354 y2[1] (numeric) = 0.1593497978057375 absolute error = 2.109423746787797e-15 relative error = 1.323769327501383e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9872221846875562 y1[1] (numeric) = 0.9872221846875561 absolute error = 1.110223024625157e-16 relative error = 1.124592864550069e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1700159999999968 y2[1] (analytic) = 0.1691981184016074 y2[1] (numeric) = 0.1691981184016103 absolute error = 2.914335439641036e-15 relative error = 1.722439627090646e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9855820598658215 y1[1] (numeric) = 0.9855820598658206 absolute error = 8.881784197001252e-16 relative error = 9.011714558004872e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.180127999999996 y2[1] (analytic) = 0.179155503951543 y2[1] (numeric) = 0.1791555039515466 absolute error = 3.608224830031759e-15 relative error = 2.014018408838666e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9838207689431386 y1[1] (numeric) = 0.9838207689431379 absolute error = 7.771561172376096e-16 relative error = 7.899366853908392e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.1901119999999951 y2[1] (analytic) = 0.188968878266076 y2[1] (numeric) = 0.1889688782660805 absolute error = 4.468647674116255e-15 relative error = 2.364753241443394e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9819830767619475 y1[1] (numeric) = 0.9819830767619468 absolute error = 6.661338147750939e-16 relative error = 6.783556973014701e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2000959999999943 y2[1] (analytic) = 0.1987634162709156 y2[1] (numeric) = 0.1987634162709209 absolute error = 5.329070518200751e-15 relative error = 2.681112358693413e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.980047501069369 y1[1] (numeric) = 0.9800475010693684 absolute error = 5.551115123125783e-16 relative error = 5.664128643834854e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2100799999999935 y2[1] (analytic) = 0.208538141652116 y2[1] (numeric) = 0.2085381416521221 absolute error = 6.161737786669619e-15 relative error = 2.954729402426847e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9780142348024807 y1[1] (numeric) = 0.97801423480248 absolute error = 7.771561172376096e-16 relative error = 7.946265908845014e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2200639999999926 y2[1] (analytic) = 0.2182920800706424 y2[1] (numeric) = 0.2182920800706494 absolute error = 6.994405055138486e-15 relative error = 3.204149712108199e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9758834806361015 y1[1] (numeric) = 0.9758834806361013 absolute error = 2.220446049250313e-16 relative error = 2.275318819622789e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2300479999999918 y2[1] (analytic) = 0.2280242592594926 y2[1] (numeric) = 0.2280242592595004 absolute error = 7.827072323607354e-15 relative error = 3.432561232311739e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9736554509625875 y1[1] (numeric) = 0.9736554509625871 absolute error = 4.440892098500626e-16 relative error = 4.561050928344534e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2400319999999909 y2[1] (analytic) = 0.237733709120612 y2[1] (numeric) = 0.2377337091206205 absolute error = 8.520961713998076e-15 relative error = 3.584246317241887e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9713303678706623 y1[1] (numeric) = 0.9713303678706618 absolute error = 4.440892098500626e-16 relative error = 4.571968760984887e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2500159999999901 y2[1] (analytic) = 0.2474194618215924 y2[1] (numeric) = 0.2474194618216018 absolute error = 9.381384558082573e-15 relative error = 3.791692249677287e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9689084631232785 y1[1] (numeric) = 0.9689084631232778 absolute error = 6.661338147750939e-16 relative error = 6.87509543087084e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2601279999999915 y2[1] (analytic) = 0.2572042477030064 y2[1] (numeric) = 0.2572042477030146 absolute error = 8.215650382226158e-15 relative error = 3.194212558928173e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9663570639072964 y1[1] (numeric) = 0.9663570639072961 absolute error = 2.220446049250313e-16 relative error = 2.297749074521509e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2701119999999928 y2[1] (analytic) = 0.266839377356052 y2[1] (numeric) = 0.2668393773560589 absolute error = 6.938893903907228e-15 relative error = 2.600401025013804e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9637410164002747 y1[1] (numeric) = 0.9637410164002738 absolute error = 8.881784197001252e-16 relative error = 9.215944995447141e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2800959999999941 y2[1] (analytic) = 0.2764479086125974 y2[1] (numeric) = 0.276447908612603 absolute error = 5.606626274357041e-15 relative error = 2.028095022492622e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9610289037400077 y1[1] (numeric) = 0.9610289037400073 absolute error = 4.440892098500626e-16 relative error = 4.620976623302523e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.2900799999999955 y2[1] (analytic) = 0.2860288836997433 y2[1] (numeric) = 0.2860288836997479 absolute error = 4.6074255521944e-15 relative error = 1.610825274915596e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9582209962683341 y1[1] (numeric) = 0.9582209962683342 absolute error = 1.110223024625157e-16 relative error = 1.158629406941378e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3000639999999968 y2[1] (analytic) = 0.2955813475913734 y2[1] (numeric) = 0.2955813475913767 absolute error = 3.33066907387547e-15 relative error = 1.126819774324852e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9553175738758645 y1[1] (numeric) = 0.955317573875865 absolute error = 5.551115123125783e-16 relative error = 5.810753695866903e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3100479999999981 y2[1] (analytic) = 0.3051043481033511 y2[1] (numeric) = 0.3051043481033531 absolute error = 1.942890293094024e-15 relative error = 6.367953472875086e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9523189259740821 y1[1] (numeric) = 0.9523189259740829 absolute error = 7.771561172376096e-16 relative error = 8.160670716931234e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3200319999999994 y2[1] (analytic) = 0.3145969359884326 y2[1] (numeric) = 0.3145969359884334 absolute error = 7.771561172376096e-16 relative error = 2.470323224210247e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9492253514664946 y1[1] (numeric) = 0.9492253514664958 absolute error = 1.221245327087672e-15 relative error = 1.286570491612896e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3300160000000008 y2[1] (analytic) = 0.3240581650308874 y2[1] (numeric) = 0.3240581650308866 absolute error = 7.216449660063518e-16 relative error = 2.226899501012631e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9460371587188392 y1[1] (numeric) = 0.9460371587188406 absolute error = 1.443289932012704e-15 relative error = 1.52561653494379e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3400000000000021 y2[1] (analytic) = 0.3334870921408163 y2[1] (numeric) = 0.3334870921408143 absolute error = 1.998401444325282e-15 relative error = 5.992440161616355e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9427546655283455 y1[1] (numeric) = 0.9427546655283474 absolute error = 1.887379141862766e-15 relative error = 2.001983348239414e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3501120000000034 y2[1] (analytic) = 0.3430030150484185 y2[1] (numeric) = 0.3430030150484152 absolute error = 3.219646771412954e-15 relative error = 9.386642770351355e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.9393343024012774 y1[1] (numeric) = 0.9393343024012799 absolute error = 2.55351295663786e-15 relative error = 2.718428306205958e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3600960000000047 y2[1] (analytic) = 0.3523640777467498 y2[1] (numeric) = 0.3523640777467453 absolute error = 4.496403249731884e-15 relative error = 1.276067435274582e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9358630010389781 y1[1] (numeric) = 0.9358630010389816 absolute error = 3.441691376337985e-15 relative error = 3.677558972325097e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3700800000000061 y2[1] (analytic) = 0.3616900169953672 y2[1] (numeric) = 0.3616900169953612 absolute error = 5.995204332975845e-15 relative error = 1.65755316742752e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9322984133880584 y1[1] (numeric) = 0.9322984133880623 absolute error = 3.885780586188048e-15 relative error = 4.16795795250446e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3800640000000074 y2[1] (analytic) = 0.3709799031899808 y2[1] (numeric) = 0.3709799031899733 absolute error = 7.438494264988549e-15 relative error = 2.005093591600636e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9286408947645761 y1[1] (numeric) = 0.9286408947645803 absolute error = 4.218847493575595e-15 relative error = 4.543034360601935e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.3900480000000087 y2[1] (analytic) = 0.3802328103200485 y2[1] (numeric) = 0.38023281032004 absolute error = 8.493206138382448e-15 relative error = 2.233685759846335e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9248908097478956 y1[1] (numeric) = 0.9248908097479011 absolute error = 5.440092820663267e-15 relative error = 5.881875745036447e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.40003200000001 y2[1] (analytic) = 0.3894478160610806 y2[1] (numeric) = 0.3894478160610709 absolute error = 9.769962616701378e-15 relative error = 2.508670536534493e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9210485321443462 y1[1] (numeric) = 0.921048532144352 absolute error = 5.773159728050814e-15 relative error = 6.268029888294798e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4100160000000114 y2[1] (analytic) = 0.3986240018665758 y2[1] (numeric) = 0.3986240018665648 absolute error = 1.093569679255779e-14 relative error = 2.743361348376132e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9171144449499616 y1[1] (numeric) = 0.9171144449499679 absolute error = 6.217248937900877e-15 relative error = 6.779141874970788e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4200000000000127 y2[1] (analytic) = 0.4077604530595818 y2[1] (numeric) = 0.4077604530595696 absolute error = 1.215694211964546e-14 relative error = 2.981393126387638e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9130889403123031 y1[1] (numeric) = 0.9130889403123101 absolute error = 6.994405055138486e-15 relative error = 7.66015745711058e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.430112000000014 y2[1] (analytic) = 0.4169726039783606 y2[1] (numeric) = 0.4169726039783475 absolute error = 1.315614284180811e-14 relative error = 3.155157608985472e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9089190544440716 y1[1] (numeric) = 0.9089190544440798 absolute error = 8.215650382226158e-15 relative error = 9.03892413967617e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4400960000000154 y2[1] (analytic) = 0.4260263192628201 y2[1] (numeric) = 0.4260263192628058 absolute error = 1.432187701766452e-14 relative error = 3.361735266132514e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9047107688622776 y1[1] (numeric) = 0.9047107688622867 absolute error = 9.103828801926284e-15 relative error = 1.006269530026136e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4500800000000167 y2[1] (analytic) = 0.4350375684874669 y2[1] (numeric) = 0.4350375684874516 absolute error = 1.52655665885959e-14 relative error = 3.509022598133543e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.9004123022285472 y1[1] (numeric) = 0.9004123022285574 absolute error = 1.021405182655144e-14 relative error = 1.134374974805582e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.460064000000018 y2[1] (analytic) = 0.4440054534161327 y2[1] (numeric) = 0.4440054534161165 absolute error = 1.620925615952729e-14 relative error = 3.650688529795056e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8960240830115753 y1[1] (numeric) = 0.8960240830115859 absolute error = 1.054711873393899e-14 relative error = 1.177102148693333e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4700480000000193 y2[1] (analytic) = 0.4529290801351775 y2[1] (numeric) = 0.4529290801351601 absolute error = 1.731947918415244e-14 relative error = 3.823883239950814e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8915465486265437 y1[1] (numeric) = 0.8915465486265555 absolute error = 1.176836406102666e-14 relative error = 1.31999434905067e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.4800320000000207 y2[1] (analytic) = 0.4618075591425944 y2[1] (numeric) = 0.4618075591425756 absolute error = 1.876276911616515e-14 relative error = 4.062897790369794e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8869801453915185 y1[1] (numeric) = 0.8869801453915308 absolute error = 1.232347557333924e-14 relative error = 1.389374456392097e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.490016000000022 y2[1] (analytic) = 0.4706400054366745 y2[1] (numeric) = 0.4706400054366549 absolute error = 1.965094753586527e-14 relative error = 4.175367012762229e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8823253284829621 y1[1] (numeric) = 0.882325328482975 absolute error = 1.287858708565182e-14 relative error = 1.459618880917177e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.5000000000000233 y2[1] (analytic) = 0.4794255386042234 y2[1] (numeric) = 0.4794255386042027 absolute error = 2.076117056049043e-14 relative error = 4.330426497706715e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8775825618903615 y1[1] (numeric) = 0.8775825618903754 absolute error = 1.387778780781446e-14 relative error = 1.581365493170344e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.5101120000000247 y2[1] (analytic) = 0.4882749912057333 y2[1] (numeric) = 0.4882749912057113 absolute error = 2.19824158875781e-14 relative error = 4.502056481183954e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8726898263203491 y1[1] (numeric) = 0.8726898263203635 absolute error = 1.443289932012704e-14 relative error = 1.653840675670828e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.520096000000026 y2[1] (analytic) = 0.4969634461952567 y2[1] (numeric) = 0.4969634461952339 absolute error = 2.281508315604697e-14 relative error = 4.590897646641587e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8677714751855665 y1[1] (numeric) = 0.8677714751855812 absolute error = 1.465494392505207e-14 relative error = 1.688802218570069e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.5300800000000273 y2[1] (analytic) = 0.5056023641527314 y2[1] (numeric) = 0.5056023641527081 absolute error = 2.331468351712829e-14 relative error = 4.611268690603952e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8627666250865114 y1[1] (numeric) = 0.8627666250865266 absolute error = 1.521005543736464e-14 relative error = 1.76293970989426e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.5400640000000286 y2[1] (analytic) = 0.514190883955757 y2[1] (numeric) = 0.5141908839557326 absolute error = 2.431388423929093e-14 relative error = 4.728571625432199e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8576757749037787 y1[1] (numeric) = 0.8576757749037948 absolute error = 1.609823385706477e-14 relative error = 1.8769603069261e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.55004800000003 y2[1] (analytic) = 0.5227281495055922 y2[1] (numeric) = 0.5227281495055672 absolute error = 2.498001805406602e-14 relative error = 4.778778047000658e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8524994320904028 y1[1] (numeric) = 0.8524994320904196 absolute error = 1.676436767183986e-14 relative error = 1.966496051584712e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.5600320000000313 y2[1] (analytic) = 0.5312133098124904 y2[1] (numeric) = 0.5312133098124643 absolute error = 2.609024107869118e-14 relative error = 4.911443406397443e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8472381126212744 y1[1] (numeric) = 0.8472381126212917 absolute error = 1.731947918415244e-14 relative error = 2.044228054208706e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.5700160000000326 y2[1] (analytic) = 0.5396455190805258 y2[1] (numeric) = 0.5396455190804987 absolute error = 2.708944180085382e-14 relative error = 5.019858563267629e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8418923409417084 y1[1] (numeric) = 0.8418923409417267 absolute error = 1.831867990631508e-14 relative error = 2.175893402928991e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.5800000000000339 y2[1] (analytic) = 0.548023936791902 y2[1] (numeric) = 0.5480239367918743 absolute error = 2.76445533131664e-14 relative error = 5.044406175941126e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8364626499151684 y1[1] (numeric) = 0.8364626499151872 absolute error = 1.876276911616515e-14 relative error = 2.243109016053258e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.5901120000000353 y2[1] (analytic) = 0.5564540847791815 y2[1] (numeric) = 0.5564540847791527 absolute error = 2.875477633779155e-14 relative error = 5.167502067884425e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8308783614540479 y1[1] (numeric) = 0.8308783614540678 absolute error = 1.98729921407903e-14 relative error = 2.391805234404264e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.6000960000000366 y2[1] (analytic) = 0.5647217030121027 y2[1] (numeric) = 0.5647217030120735 absolute error = 2.919886554764162e-14 relative error = 5.170487585637531e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8252814054291484 y1[1] (numeric) = 0.8252814054291694 absolute error = 2.098321516541546e-14 relative error = 2.542552761685468e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.6100800000000379 y2[1] (analytic) = 0.5729330301086941 y2[1] (numeric) = 0.5729330301086641 absolute error = 2.997602166487923e-14 relative error = 5.232028891612746e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.819602185825825 y1[1] (numeric) = 0.819602185825847 absolute error = 2.19824158875781e-14 relative error = 2.682083609309654e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.6200640000000393 y2[1] (analytic) = 0.5810872475685679 y2[1] (numeric) = 0.5810872475685372 absolute error = 3.064215547965432e-14 relative error = 5.27324521539058e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8138412687454391 y1[1] (numeric) = 0.813841268745462 absolute error = 2.298161660974074e-14 relative error = 2.823845077943466e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.6300480000000406 y2[1] (analytic) = 0.5891835425839916 y2[1] (numeric) = 0.5891835425839599 absolute error = 3.175237850427948e-14 relative error = 5.389216807554156e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8079992284329099 y1[1] (numeric) = 0.8079992284329343 absolute error = 2.431388423929093e-14 relative error = 3.009146962484973e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.6400320000000419 y2[1] (analytic) = 0.5972211081209096 y2[1] (numeric) = 0.5972211081208774 absolute error = 3.219646771412954e-14 relative error = 5.391046511305031e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.8020766472194742 y1[1] (numeric) = 0.8020766472194997 absolute error = 2.542410726391608e-14 relative error = 3.169785250830177e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.6500160000000432 y2[1] (analytic) = 0.6051991429993864 y2[1] (numeric) = 0.6051991429993538 absolute error = 3.252953462151709e-14 relative error = 5.375013332024839e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.7960741154646396 y1[1] (numeric) = 0.796074115464666 absolute error = 2.642330798607873e-14 relative error = 3.319202003026615e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.6600000000000446 y2[1] (analytic) = 0.613116851973469 y2[1] (numeric) = 0.6131168519734354 absolute error = 3.363975764614224e-14 relative error = 5.48667966601543e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.7899922314973378 y1[1] (numeric) = 0.7899922314973652 absolute error = 2.742250870824137e-14 relative error = 3.471237768536687e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.6701120000000459 y2[1] (analytic) = 0.6210737711681666 y2[1] (numeric) = 0.6210737711681318 absolute error = 3.486100297322992e-14 relative error = 5.613021285323396e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.7837521105342886 y1[1] (numeric) = 0.7837521105343174 absolute error = 2.875477633779155e-14 relative error = 3.668861104334283e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.6800960000000472 y2[1] (analytic) = 0.6288676681019124 y2[1] (numeric) = 0.6288676681018767 absolute error = 3.574918139293004e-14 relative error = 5.684690628289167e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.7775123510376301 y1[1] (numeric) = 0.7775123510376605 absolute error = 3.042011087472929e-14 relative error = 3.912492301136065e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.6900800000000485 y2[1] (analytic) = 0.6365988798662203 y2[1] (numeric) = 0.636598879866184 absolute error = 3.630429290524262e-14 relative error = 5.702852149672628e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.7711950895545651 y1[1] (numeric) = 0.7711950895545966 absolute error = 3.153033389935445e-14 relative error = 4.088502938674838e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.7000640000000499 y2[1] (analytic) = 0.6442666358183241 y2[1] (numeric) = 0.6442666358182869 absolute error = 3.719247132494274e-14 relative error = 5.772838333883644e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.7648009557861044 y1[1] (numeric) = 0.7648009557861374 absolute error = 3.297362383136715e-14 relative error = 4.311399401622746e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.7100480000000512 y2[1] (analytic) = 0.6518701716406966 y2[1] (numeric) = 0.6518701716406587 absolute error = 3.785860513971784e-14 relative error = 5.807690976936596e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.7583305870958449 y1[1] (numeric) = 0.7583305870958794 absolute error = 3.452793606584237e-14 relative error = 4.55315091510062e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.7200320000000525 y2[1] (analytic) = 0.6594087294172361 y2[1] (numeric) = 0.6594087294171982 absolute error = 3.785860513971784e-14 relative error = 5.741295717024559e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.7517846284464363 y1[1] (numeric) = 0.7517846284464721 absolute error = 3.574918139293004e-14 relative error = 4.755242397919968e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.7300160000000538 y2[1] (analytic) = 0.6668815577088157 y2[1] (numeric) = 0.6668815577087773 absolute error = 3.841371665203042e-14 relative error = 5.760200774483437e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.7451637323352925 y1[1] (numeric) = 0.7451637323353293 absolute error = 3.674838211509268e-14 relative error = 4.931584901472023e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.7400000000000552 y2[1] (analytic) = 0.6742879116281858 y2[1] (numeric) = 0.6742879116281469 absolute error = 3.885780586188048e-14 relative error = 5.762791411765269e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.7384685587295508 y1[1] (numeric) = 0.7384685587295887 absolute error = 3.796962744218035e-14 relative error = 5.141671502914448e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.7501120000000565 y2[1] (analytic) = 0.6817207049012798 y2[1] (numeric) = 0.68172070490124 absolute error = 3.97459842815806e-14 relative error = 5.830244555552443e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.7316125207436668 y1[1] (numeric) = 0.7316125207437065 absolute error = 3.97459842815806e-14 relative error = 5.432655012680723e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.7600960000000578 y2[1] (analytic) = 0.6889910261929675 y2[1] (numeric) = 0.6889910261929273 absolute error = 4.019007349143067e-14 relative error = 5.833178076861415e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.7247698709421919 y1[1] (numeric) = 0.7247698709422329 absolute error = 4.096722960866828e-14 relative error = 5.652446555954565e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.7700800000000592 y2[1] (analytic) = 0.6961926692532741 y2[1] (numeric) = 0.6961926692532333 absolute error = 4.074518500374325e-14 relative error = 5.852573117072021e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.7178549764945572 y1[1] (numeric) = 0.7178549764946001 absolute error = 4.285460875053104e-14 relative error = 5.969814259671148e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.7800640000000605 y2[1] (analytic) = 0.7033249162265387 y2[1] (numeric) = 0.7033249162264977 absolute error = 4.096722960866828e-14 relative error = 5.824794296847129e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.7108685266734858 y1[1] (numeric) = 0.7108685266735295 absolute error = 4.374278717023117e-14 relative error = 6.153428591771511e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.7900480000000618 y2[1] (analytic) = 0.7103870561744626 y2[1] (numeric) = 0.7103870561744213 absolute error = 4.130029651605582e-14 relative error = 5.813773795156673e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.7038112178842995 y1[1] (numeric) = 0.7038112178843449 absolute error = 4.54081217071689e-14 relative error = 6.451747365389906e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.8000320000000631 y2[1] (analytic) = 0.7173783851469757 y2[1] (numeric) = 0.7173783851469342 absolute error = 4.152234112098085e-14 relative error = 5.78806693659634e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.6966837535955014 y1[1] (numeric) = 0.6966837535955481 absolute error = 4.674038933671909e-14 relative error = 6.708982245602476e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.8100160000000645 y2[1] (analytic) = 0.7242982062524049 y2[1] (numeric) = 0.7242982062523629 absolute error = 4.207745263329343e-14 relative error = 5.809410028917039e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.6894868442686551 y1[1] (numeric) = 0.6894868442687033 absolute error = 4.818367926873179e-14 relative error = 6.988339178514806e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.8200000000000658 y2[1] (analytic) = 0.7311458297269408 y2[1] (numeric) = 0.7311458297268985 absolute error = 4.229949723821846e-14 relative error = 5.785370786292518e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.6822212072875654 y1[1] (numeric) = 0.6822212072876152 absolute error = 4.973799150320701e-14 relative error = 7.290595919901062e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.8301120000000671 y2[1] (analytic) = 0.7380069525666724 y2[1] (numeric) = 0.7380069525666296 absolute error = 4.274358644806853e-14 relative error = 5.79175931871821e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.6747931075250053 y1[1] (numeric) = 0.6747931075250569 absolute error = 5.162537064506978e-14 relative error = 7.650548007880584e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.8400960000000685 y2[1] (analytic) = 0.7447071929707718 y2[1] (numeric) = 0.7447071929707287 absolute error = 4.307665335545607e-14 relative error = 5.784374551777257e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.667391337026181 y1[1] (numeric) = 0.667391337026234 absolute error = 5.295763827461997e-14 relative error = 7.935020330139901e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.8500800000000698 y2[1] (analytic) = 0.751333201387856 y2[1] (numeric) = 0.7513332013878122 absolute error = 4.374278717023117e-14 relative error = 5.822022384932528e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.6599230413406366 y1[1] (numeric) = 0.6599230413406908 absolute error = 5.417888360170764e-14 relative error = 8.209879062813596e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.8600640000000711 y2[1] (analytic) = 0.7578843173411958 y2[1] (numeric) = 0.7578843173411517 absolute error = 4.407585407761871e-14 relative error = 5.81564403288424e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.6523889649038138 y1[1] (numeric) = 0.6523889649038692 absolute error = 5.540012892879531e-14 relative error = 8.491886268640877e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.8700480000000724 y2[1] (analytic) = 0.7643598878193005 y2[1] (numeric) = 0.7643598878192565 absolute error = 4.407585407761871e-14 relative error = 5.766374554709564e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.6447898587081425 y1[1] (numeric) = 0.6447898587081995 absolute error = 5.695444116327053e-14 relative error = 8.833023719910951e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.8800320000000738 y2[1] (analytic) = 0.7707592673410089 y2[1] (numeric) = 0.7707592673409646 absolute error = 4.429789868254375e-14 relative error = 5.747306657156926e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.6371264802281814 y1[1] (numeric) = 0.6371264802282398 absolute error = 5.839773109528323e-14 relative error = 9.165798771127609e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.8900160000000751 y2[1] (analytic) = 0.7770818180198307 y2[1] (numeric) = 0.7770818180197865 absolute error = 4.418687638008123e-14 relative error = 5.68625791460142e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.6293995933451139 y1[1] (numeric) = 0.629399593345174 absolute error = 6.017408793468348e-14 relative error = 9.560553990013255e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.9000000000000764 y2[1] (analytic) = 0.7833269096275309 y2[1] (numeric) = 0.7833269096274866 absolute error = 4.429789868254375e-14 relative error = 5.655097270130453e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.6216099682706046 y1[1] (numeric) = 0.6216099682706662 absolute error = 6.161737786669619e-14 relative error = 9.912546614740319e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.9101120000000777 y2[1] (analytic) = 0.7895724742620297 y2[1] (numeric) = 0.7895724742619856 absolute error = 4.407585407761871e-14 relative error = 5.58224298774017e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.6136573212206764 y1[1] (numeric) = 0.6136573212207395 absolute error = 6.306066779870889e-14 relative error = 1.027620230673199e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.9200960000000791 y2[1] (analytic) = 0.7956597751052301 y2[1] (numeric) = 0.7956597751051858 absolute error = 4.429789868254375e-14 relative error = 5.567442274769404e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.6057437760963744 y1[1] (numeric) = 0.6057437760964387 absolute error = 6.428191312579656e-14 relative error = 1.061206332817017e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.9300800000000804 y2[1] (analytic) = 0.8016677650371734 y2[1] (numeric) = 0.8016677650371284 absolute error = 4.496403249731884e-14 relative error = 5.608811337853138e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.5977698507789627 y1[1] (numeric) = 0.5977698507790282 absolute error = 6.550315845288424e-14 relative error = 1.095792274694451e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.9400640000000817 y2[1] (analytic) = 0.8075958451848597 y2[1] (numeric) = 0.8075958451848151 absolute error = 4.463096558993129e-14 relative error = 5.526398613370183e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.5897363401047557 y1[1] (numeric) = 0.5897363401048231 absolute error = 6.7390537594747e-14 relative error = 1.142723163079561e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.950048000000083 y2[1] (analytic) = 0.8134434246406509 y2[1] (numeric) = 0.8134434246406061 absolute error = 4.474198789239381e-14 relative error = 5.50031957196767e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.5816440448495022 y1[1] (numeric) = 0.5816440448495709 absolute error = 6.872280522429719e-14 relative error = 1.181526843313231e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.9600320000000844 y2[1] (analytic) = 0.8192099205211718 y2[1] (numeric) = 0.8192099205211275 absolute error = 4.429789868254375e-14 relative error = 5.407392851683478e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.5734937716485642 y1[1] (numeric) = 0.5734937716486341 absolute error = 6.994405055138486e-14 relative error = 1.219613080545301e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.9700160000000857 y2[1] (analytic) = 0.8248947580254113 y2[1] (numeric) = 0.824894758025367 absolute error = 4.429789868254375e-14 relative error = 5.370127310371286e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.5652863329165124 y1[1] (numeric) = 0.5652863329165838 absolute error = 7.138734048339757e-14 relative error = 1.262852758443407e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.980000000000087 y2[1] (analytic) = 0.830497370492019 y2[1] (numeric) = 0.8304973704919749 absolute error = 4.407585407761871e-14 relative error = 5.307163591801195e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.557022546766145 y1[1] (numeric) = 0.5570225467662185 absolute error = 7.349676423018536e-14 relative error = 1.319457617234326e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 0.9901120000000884 y2[1] (analytic) = 0.8360874266212707 y2[1] (numeric) = 0.8360874266212267 absolute error = 4.39648317751562e-14 relative error = 5.258401259880602e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.5485962222307234 y1[1] (numeric) = 0.5485962222307987 absolute error = 7.538414337204813e-14 relative error = 1.374128007398924e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.00009600000009 y2[1] (analytic) = 0.8415228499517303 y2[1] (numeric) = 0.8415228499516865 absolute error = 4.385380947269368e-14 relative error = 5.211244052993823e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.5402215221639338 y1[1] (numeric) = 0.5402215221640109 absolute error = 7.704947790898586e-14 relative error = 1.426257095429173e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.010080000000082 y2[1] (analytic) = 0.8468743907658616 y2[1] (numeric) = 0.8468743907658228 absolute error = 3.874678355941796e-14 relative error = 4.575269246762525e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.5317929731248343 y1[1] (numeric) = 0.5317929731249054 absolute error = 7.105427357601002e-14 relative error = 1.336126597508286e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.020064000000075 y2[1] (analytic) = 0.8521415156251422 y2[1] (numeric) = 0.852141515625108 absolute error = 3.419486915845482e-14 relative error = 4.012815774310564e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.5233114152663647 y1[1] (numeric) = 0.5233114152664301 absolute error = 6.539213615042172e-14 relative error = 1.249583598652004e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.030048000000068 y2[1] (analytic) = 0.8573236995055787 y2[1] (numeric) = 0.8573236995055492 absolute error = 2.953193245502916e-14 relative error = 3.444665354761605e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.5147776940253609 y1[1] (numeric) = 0.5147776940254203 absolute error = 5.939693181744587e-14 relative error = 1.153836549384746e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.04003200000006 y2[1] (analytic) = 0.8624204258500466 y2[1] (numeric) = 0.8624204258500221 absolute error = 2.453592884421596e-14 relative error = 2.845007853336969e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.5061926600382746 y1[1] (numeric) = 0.5061926600383281 absolute error = 5.351274978693255e-14 relative error = 1.057161709592674e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.050016000000053 y2[1] (analytic) = 0.867431186619779 y2[1] (numeric) = 0.8674311866197587 absolute error = 2.031708135064036e-14 relative error = 2.342212461810639e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.4975571690563831 y1[1] (numeric) = 0.4975571690564306 absolute error = 4.75175454539567e-14 relative error = 9.55016798252022e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.060000000000046 y2[1] (analytic) = 0.8723554823450086 y2[1] (numeric) = 0.8723554823449921 absolute error = 1.654232306691483e-14 relative error = 1.896282352974598e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.4888720818604878 y1[1] (numeric) = 0.4888720818605292 absolute error = 4.135580766728708e-14 relative error = 8.459433295904393e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.070112000000038 y2[1] (analytic) = 0.8772542726864372 y2[1] (numeric) = 0.877254272686425 absolute error = 1.221245327087672e-14 relative error = 1.392122404086814e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.4800259795608882 y1[1] (numeric) = 0.4800259795609229 absolute error = 3.47499806707674e-14 relative error = 7.239187492009397e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.080096000000031 y2[1] (analytic) = 0.8820030503437916 y2[1] (numeric) = 0.8820030503437833 absolute error = 8.215650382226158e-15 relative error = 9.314764137180502e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.4712436940525008 y1[1] (numeric) = 0.4712436940525295 absolute error = 2.864375403532904e-14 relative error = 6.078331529278324e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.090080000000023 y2[1] (analytic) = 0.8866639104416025 y2[1] (numeric) = 0.8866639104415984 absolute error = 4.107825191113079e-15 relative error = 4.632899955369987e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.4624144352422466 y1[1] (numeric) = 0.4624144352422688 absolute error = 2.225997164373439e-14 relative error = 4.81385742901235e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.100064000000016 y2[1] (analytic) = 0.8912363883880015 y2[1] (numeric) = 0.8912363883880007 absolute error = 7.771561172376096e-16 relative error = 8.719977408499542e-14 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 16 h = 0.000128 y1[1] (analytic) = 0.4535390832255932 y1[1] (numeric) = 0.4535390832256088 absolute error = 1.565414464721471e-14 relative error = 3.451553620446915e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.110048000000009 y2[1] (analytic) = 0.8957200284010021 y2[1] (numeric) = 0.8957200284010046 absolute error = 2.55351295663786e-15 relative error = 2.850793636038566e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.4446185226925528 y1[1] (numeric) = 0.4446185226925619 absolute error = 9.103828801926284e-15 relative error = 2.047559500399278e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.120032000000001 y2[1] (analytic) = 0.9001143835539327 y2[1] (numeric) = 0.9001143835539386 absolute error = 5.88418203051333e-15 relative error = 6.537149209060232e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 y1[1] (analytic) = 0.4356536428394967 y1[1] (numeric) = 0.4356536428394993 absolute error = 2.55351295663786e-15 relative error = 5.861337322912331e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.130015999999994 y2[1] (analytic) = 0.9044190158199853 y2[1] (numeric) = 0.9044190158199945 absolute error = 9.214851104388799e-15 relative error = 1.018869676909017e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.4266453372805207 y1[1] (numeric) = 0.4266453372805166 absolute error = 4.107825191113079e-15 relative error = 9.628196612429332e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.140127999999987 y2[1] (analytic) = 0.9086869407687128 y2[1] (numeric) = 0.908686940768725 absolute error = 1.221245327087672e-14 relative error = 1.343967071931888e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.4174781954502508 y1[1] (numeric) = 0.4174781954502402 absolute error = 1.060262988517024e-14 relative error = 2.539684707062436e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.150111999999979 y2[1] (analytic) = 0.9128096851289406 y2[1] (numeric) = 0.9128096851289556 absolute error = 1.498801083243961e-14 relative error = 1.641964483573863e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.4083852087610474 y1[1] (numeric) = 0.4083852087610303 absolute error = 1.715294573045867e-14 relative error = 4.200187803690785e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.160095999999972 y2[1] (analytic) = 0.9168414411418911 y2[1] (numeric) = 0.9168414411419088 absolute error = 1.765254609153999e-14 relative error = 1.925365204866222e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.3992515144678354 y1[1] (numeric) = 0.3992515144678112 absolute error = 2.420286193682841e-14 relative error = 6.062058892647796e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.170079999999965 y2[1] (analytic) = 0.9207818069244313 y2[1] (numeric) = 0.9207818069244514 absolute error = 2.009503674571533e-14 relative error = 2.182388552271269e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.390078023012037 y1[1] (numeric) = 0.3900780230120059 absolute error = 3.108624468950438e-14 relative error = 7.969237653910363e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.180063999999957 y2[1] (analytic) = 0.9246303897031538 y2[1] (numeric) = 0.9246303897031766 absolute error = 2.275957200481571e-14 relative error = 2.4614778248985e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.3808656488020334 y1[1] (numeric) = 0.3808656488019955 absolute error = 3.796962744218035e-14 relative error = 9.969296932293369e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.19004799999995 y2[1] (analytic) = 0.9283868058535287 y2[1] (numeric) = 0.9283868058535538 absolute error = 2.509104035652854e-14 relative error = 2.702649391215836e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.3716153101220163 y1[1] (numeric) = 0.3716153101219714 absolute error = 4.496403249731884e-14 relative error = 1.2099617877034e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.200031999999943 y2[1] (analytic) = 0.9320506809381428 y2[1] (numeric) = 0.9320506809381703 absolute error = 2.753353101070388e-14 relative error = 2.954080885707887e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.362327929040454 y1[1] (numeric) = 0.362327929040402 absolute error = 5.195843755245733e-14 relative error = 1.434016905350295e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.210015999999935 y2[1] (analytic) = 0.9356216497440235 y2[1] (numeric) = 0.935621649744053 absolute error = 2.953193245502916e-14 relative error = 3.156396868660403e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.3530044313181801 y1[1] (numeric) = 0.3530044313181209 absolute error = 5.92303983637521e-14 relative error = 1.677893904690529e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.220127999999928 y2[1] (analytic) = 0.9391433352813493 y2[1] (numeric) = 0.9391433352813806 absolute error = 3.130828929442941e-14 relative error = 3.333707232778269e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.3435255387836881 y1[1] (numeric) = 0.3435255387836217 absolute error = 6.639133687258436e-14 relative error = 1.932646321075703e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.230111999999921 y2[1] (analytic) = 0.9425262306457409 y2[1] (numeric) = 0.9425262306457743 absolute error = 3.341771304121721e-14 relative error = 3.545547270161613e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.3341321662826428 y1[1] (numeric) = 0.3341321662825694 absolute error = 7.333023077649159e-14 relative error = 2.194647453201541e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.240095999999913 y2[1] (analytic) = 0.9458151755345964 y2[1] (numeric) = 0.9458151755346323 absolute error = 3.597122599785507e-14 relative error = 3.803198228186951e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.3247054876783893 y1[1] (numeric) = 0.3247054876783088 absolute error = 8.054668043655511e-14 relative error = 2.480607303943507e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.250079999999906 y2[1] (analytic) = 0.9490098421077705 y2[1] (numeric) = 0.9490098421078079 absolute error = 3.741451592986778e-14 relative error = 3.942479231487142e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.3152464426168589 y1[1] (numeric) = 0.3152464426167715 absolute error = 8.737455203799982e-14 relative error = 2.771626899663138e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.260063999999899 y2[1] (analytic) = 0.9521099119227265 y2[1] (numeric) = 0.9521099119227652 absolute error = 3.863576125695545e-14 relative error = 4.057909782593581e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.3057559739702527 y1[1] (numeric) = 0.3057559739701579 absolute error = 9.475753515175711e-14 relative error = 3.099122935239073e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.270047999999891 y2[1] (analytic) = 0.9551150759662788 y2[1] (numeric) = 0.9551150759663189 absolute error = 4.019007349143067e-14 relative error = 4.207877616293601e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.2962350277430565 y1[1] (numeric) = 0.2962350277429542 absolute error = 1.023070517192082e-13 relative error = 3.453577130924084e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.280031999999884 y2[1] (analytic) = 0.9580250346853942 y2[1] (numeric) = 0.9580250346854352 absolute error = 4.096722960866828e-14 relative error = 4.276217022044888e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.2866845529777445 y1[1] (numeric) = 0.2866845529776347 absolute error = 1.09801057135428e-13 relative error = 3.830030463620826e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.290015999999877 y2[1] (analytic) = 0.9608394980170523 y2[1] (numeric) = 0.9608394980170947 absolute error = 4.241051954068098e-14 relative error = 4.413902595408116e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.2771055016601781 y1[1] (numeric) = 0.2771055016600608 absolute error = 1.17350573702879e-13 relative error = 4.234869860028589e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.300127999999869 y2[1] (analytic) = 0.9635924173736597 y2[1] (numeric) = 0.963592417373702 absolute error = 4.229949723821846e-14 relative error = 4.389770661905869e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.2673754909859665 y1[1] (numeric) = 0.2673754909858418 absolute error = 1.246780456654051e-13 relative error = 4.663031948277898e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.310111999999862 y2[1] (analytic) = 0.9662138247563697 y2[1] (numeric) = 0.9662138247564127 absolute error = 4.296563105299356e-14 relative error = 4.446803590688357e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.2577418182012134 y1[1] (numeric) = 0.2577418182010811 absolute error = 1.322830733840874e-13 relative error = 5.132386909788031e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.320095999999854 y2[1] (analytic) = 0.968738920497712 y2[1] (numeric) = 0.9687389204977555 absolute error = 4.340972026284362e-14 relative error = 4.481054631369706e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.2480824538594529 y1[1] (numeric) = 0.2480824538593134 absolute error = 1.395550341953822e-13 relative error = 5.625348831580197e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.330079999999847 y2[1] (analytic) = 0.9711674528975877 y2[1] (numeric) = 0.9711674528976316 absolute error = 4.39648317751562e-14 relative error = 4.527008359267206e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.2383983608005975 y1[1] (numeric) = 0.2383983608004504 absolute error = 1.470767951872176e-13 relative error = 6.169371076768286e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.34006399999984 y2[1] (analytic) = 0.9734991798812761 y2[1] (numeric) = 0.9734991798813203 absolute error = 4.418687638008123e-14 relative error = 4.538974176174455e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.2286905043295037 y1[1] (numeric) = 0.2286905043293488 absolute error = 1.548206007839781e-13 relative error = 6.769874474582829e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.350047999999832 y2[1] (analytic) = 0.9757338690235655 y2[1] (numeric) = 0.97573386902361 absolute error = 4.451994328746878e-14 relative error = 4.562713737919202e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.2189598521197516 y1[1] (numeric) = 0.2189598521195891 absolute error = 1.625366508051229e-13 relative error = 7.42312571147654e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.360031999999825 y2[1] (analytic) = 0.9778712975719203 y2[1] (numeric) = 0.9778712975719651 absolute error = 4.485301019485632e-14 relative error = 4.586800973321081e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.2092073741171875 y1[1] (numeric) = 0.2092073741170173 absolute error = 1.701971896750365e-13 relative error = 8.135334157948969e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.370015999999818 y2[1] (analytic) = 0.9799112524686855 y2[1] (numeric) = 0.9799112524687302 absolute error = 4.474198789239381e-14 relative error = 4.565922452637986e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.1994340424432402 y1[1] (numeric) = 0.1994340424430623 absolute error = 1.778577285449501e-13 relative error = 8.918122822264367e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.38012799999981 y2[1] (analytic) = 0.9818777963553196 y2[1] (numeric) = 0.9818777963553645 absolute error = 4.496403249731884e-14 relative error = 4.579391922724298e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.1895151524929384 y1[1] (numeric) = 0.1895151524927528 absolute error = 1.855460229904793e-13 relative error = 9.790564002389889e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.390111999999803 y2[1] (analytic) = 0.9837209476949269 y2[1] (numeric) = 0.9837209476949723 absolute error = 4.54081217071689e-14 relative error = 4.615955552595485e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.1797028020543777 y1[1] (numeric) = 0.1797028020541844 absolute error = 1.932898285872398e-13 relative error = 1.075608317608485e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.400095999999796 y2[1] (analytic) = 0.9854660422931665 y2[1] (numeric) = 0.985466042293211 absolute error = 4.451994328746878e-14 relative error = 4.517653716800982e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.1698725389433001 y1[1] (numeric) = 0.1698725389430991 absolute error = 2.00978123032769e-13 relative error = 1.183111315595579e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.410079999999788 y2[1] (analytic) = 0.9871129062000069 y2[1] (numeric) = 0.9871129062000508 absolute error = 4.385380947269368e-14 relative error = 4.44263358297213e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.1600253430347094 y1[1] (numeric) = 0.1600253430345007 absolute error = 2.086664174782982e-13 relative error = 1.303958570068733e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.420063999999781 y2[1] (analytic) = 0.9886613752569959 y2[1] (numeric) = 0.9886613752570391 absolute error = 4.318767565791859e-14 relative error = 4.368298058239834e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.1501621958914612 y1[1] (numeric) = 0.1501621958912447 absolute error = 2.164934898019055e-13 relative error = 1.441730979736001e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.430047999999774 y2[1] (analytic) = 0.9901112951136236 y2[1] (numeric) = 0.9901112951136659 absolute error = 4.229949723821846e-14 relative error = 4.272196211372807e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.1402840806664208 y1[1] (numeric) = 0.1402840806661966 absolute error = 2.241817842474347e-13 relative error = 1.598055767856604e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.440031999999766 y2[1] (analytic) = 0.9914625212427083 y2[1] (numeric) = 0.9914625212427499 absolute error = 4.163336342344337e-14 relative error = 4.199186810537198e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.1303919820044634 y1[1] (numeric) = 0.1303919820042316 absolute error = 2.318423231173483e-13 relative error = 1.778041253406303e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.450015999999759 y2[1] (analytic) = 0.992714918954802 y2[1] (numeric) = 0.9927149189548428 absolute error = 4.074518500374325e-14 relative error = 4.104419529288686e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.1204868859443255 y1[1] (numeric) = 0.120486885944086 absolute error = 2.394751064116463e-13 relative error = 1.987561588423016e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.460127999999752 y2[1] (analytic) = 0.9938825082016262 y2[1] (numeric) = 0.9938825082016652 absolute error = 3.907985046680551e-14 relative error = 3.932039264632826e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.1104425637643595 y1[1] (numeric) = 0.1104425637641122 absolute error = 2.472327897962145e-13 relative error = 2.238564384685157e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.470111999999744 y2[1] (analytic) = 0.9949356136195054 y2[1] (numeric) = 0.9949356136195427 absolute error = 3.730349362740526e-14 relative error = 3.749337456290039e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.1005143012291194 y1[1] (numeric) = 0.1005143012288645 absolute error = 2.548933286661281e-13 relative error = 2.535891167219143e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.480095999999737 y2[1] (analytic) = 0.9958895444245325 y2[1] (numeric) = 0.9958895444245679 absolute error = 3.541611448554249e-14 relative error = 3.556229170576084e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.09057601948582801 y1[1] (numeric) = 0.09057601948556548 absolute error = 2.625261119604261e-13 relative error = 2.898406371252628e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.49007999999973 y2[1] (analytic) = 0.9967442055294303 y2[1] (numeric) = 0.9967442055294642 absolute error = 3.386180225106727e-14 relative error = 3.397240943385394e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.08062870917672468 y1[1] (numeric) = 0.08062870917645452 absolute error = 2.70158895254724e-13 relative error = 3.350653855347985e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.500063999999722 y2[1] (analytic) = 0.9974995117420687 y2[1] (numeric) = 0.9974995117421006 absolute error = 3.186340080674199e-14 relative error = 3.19432745897736e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.07067336184401106 y1[1] (numeric) = 0.07067336184373328 absolute error = 2.777778007612142e-13 relative error = 3.930445552799939e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.510047999999715 y2[1] (analytic) = 0.9981553877739566 y2[1] (numeric) = 0.9981553877739866 absolute error = 2.997602166487923e-14 relative error = 3.0031417985661e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.06071096983101471 y1[1] (numeric) = 0.06071096983072929 absolute error = 2.85417522949416e-13 relative error = 4.701251252349589e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.520031999999708 y2[1] (analytic) = 0.9987117682477462 y2[1] (numeric) = 0.9987117682477739 absolute error = 2.76445533131664e-14 relative error = 2.768021184096905e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.0507425261832729 y1[1] (numeric) = 0.0507425261829799 absolute error = 2.930017339863866e-13 relative error = 5.774283545287378e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.5300159999997 y2[1] (analytic) = 0.9991685977037501 y2[1] (numeric) = 0.9991685977037752 absolute error = 2.509104035652854e-14 relative error = 2.511191846320208e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.04076902454954638 y1[1] (numeric) = 0.04076902454924582 absolute error = 3.005651283416455e-13 relative error = 7.372389495764616e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.540127999999693 y2[1] (analytic) = 0.9995297637241058 y2[1] (numeric) = 0.9995297637241279 absolute error = 2.209343819004062e-14 relative error = 2.210383221378382e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.03066351952456138 y1[1] (numeric) = 0.03066351952425315 absolute error = 3.082360755524149e-13 relative error = 1.005220797650181e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.550111999999686 y2[1] (analytic) = 0.9997860869394157 y2[1] (numeric) = 0.9997860869394356 absolute error = 1.98729921407903e-14 relative error = 1.98772441429209e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.02068285189162662 y1[1] (numeric) = 0.02068285189131083 absolute error = 3.157925310137699e-13 relative error = 1.526832627668805e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.560095999999678 y2[1] (analytic) = 0.9999427520494674 y2[1] (numeric) = 0.9999427520494845 absolute error = 1.709743457922741e-14 relative error = 1.709841342835354e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.01070012260384611 y1[1] (numeric) = 0.0107001226035228 absolute error = 3.233108225586534e-13 relative error = 3.021561850538432e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.570079999999671 y2[1] (analytic) = 0.9999997434379722 y2[1] (numeric) = 0.9999997434379863 absolute error = 1.409983241273949e-14 relative error = 1.409983603022201e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = 0.0007163267339650165 y1[1] (numeric) = 0.0007163267336342187 absolute error = 3.30797780660752e-13 relative error = 4.617973404813722e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.580063999999664 y2[1] (analytic) = 0.9999570554240611 y2[1] (numeric) = 0.9999570554240721 absolute error = 1.099120794378905e-14 relative error = 1.099167997682451e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.009267540538955168 y1[1] (numeric) = -0.009267540539293425 absolute error = 3.382572000276696e-13 relative error = 3.649913357334016e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.590047999999656 y2[1] (analytic) = 0.999814692262851 y2[1] (numeric) = 0.9998146922628584 absolute error = 7.327471962526033e-15 relative error = 7.328830051438814e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 y1[1] (analytic) = -0.01925048402873556 y1[1] (numeric) = -0.01925048402908123 absolute error = 3.456748776109464e-13 relative error = 1.795668499009952e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.600031999999649 y2[1] (analytic) = 0.9995726681450202 y2[1] (numeric) = 0.9995726681450239 absolute error = 3.663735981263017e-15 relative error = 3.665302281686111e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 y1[1] (analytic) = -0.02923150864127944 y1[1] (numeric) = -0.0292315086416325 absolute error = 3.530647996186076e-13 relative error = 1.207822709225569e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.610015999999642 y2[1] (analytic) = 0.9992310071953946 y2[1] (numeric) = 0.9992310071953944 absolute error = 2.220446049250313e-16 relative error = 2.222154870356336e-14 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 16 h = 0.000128 y1[1] (analytic) = -0.03920961947376267 y1[1] (numeric) = -0.03920961947412308 absolute error = 3.604130882628453e-13 relative error = 9.191955777689139e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.620127999999634 y2[1] (analytic) = 0.9987834397592686 y2[1] (numeric) = 0.9987834397592643 absolute error = 4.329869796038111e-15 relative error = 4.335143759573863e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 y1[1] (analytic) = -0.04931166659770623 y1[1] (numeric) = -0.04931166659807403 absolute error = 3.678030102705065e-13 relative error = 7.458742233782364e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.630111999999627 y2[1] (analytic) = 0.9982413411781612 y2[1] (numeric) = 0.9982413411781526 absolute error = 8.659739592076221e-15 relative error = 8.674995950233515e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 y1[1] (analytic) = -0.05928089711556365 y1[1] (numeric) = -0.0592808971159387 absolute error = 3.750541544000896e-13 relative error = 6.326728721209292e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.640095999999619 y2[1] (analytic) = 0.9975997384711692 y2[1] (numeric) = 0.9975997384711569 absolute error = 1.232347557333924e-14 relative error = 1.235312630717514e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.06924421854750586 y1[1] (numeric) = -0.06924421854788813 absolute error = 3.82277542954057e-13 relative error = 5.520714233951398e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.650079999999612 y2[1] (analytic) = 0.9968586955928836 y2[1] (numeric) = 0.9968586955928674 absolute error = 1.620925615952729e-14 relative error = 1.626033482096156e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.07920063775535166 y1[1] (numeric) = -0.0792006377557411 absolute error = 3.894384814628893e-13 relative error = 4.917112948835751e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.660063999999605 y2[1] (analytic) = 0.9960182864100348 y2[1] (numeric) = 0.9960182864100137 absolute error = 2.109423746787797e-14 relative error = 2.117856444574756e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.08914916228892956 y1[1] (numeric) = -0.08914916228932612 absolute error = 3.965577866082981e-13 relative error = 4.448250285550268e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.670047999999597 y2[1] (analytic) = 0.9950785946941292 y2[1] (numeric) = 0.9950785946941036 absolute error = 2.55351295663786e-14 relative error = 2.566141981400744e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.09908880048500475 y1[1] (numeric) = -0.0990888004854084 absolute error = 4.036493361780913e-13 relative error = 4.073612095437326e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.68003199999959 y2[1] (analytic) = 0.9940397141130994 y2[1] (numeric) = 0.9940397141130696 absolute error = 2.986499936241671e-14 relative error = 3.004407061247328e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.1090185615661274 y1[1] (numeric) = -0.109018561566538 absolute error = 4.106437412332298e-13 relative error = 3.766732337448295e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.690015999999583 y2[1] (analytic) = 0.9929017482219679 y2[1] (numeric) = 0.9929017482219328 absolute error = 3.508304757815495e-14 relative error = 3.533385618564946e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.1189374557393928 y1[1] (numeric) = -0.1189374557398104 absolute error = 4.17582635137137e-13 relative error = 3.510943062815417e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.700127999999575 y2[1] (analytic) = 0.9916483102335805 y2[1] (numeric) = 0.9916483102335406 absolute error = 3.985700658404312e-14 relative error = 4.01926834067361e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.1289714263350007 y1[1] (numeric) = -0.1289714263354254 absolute error = 4.246047957678911e-13 relative error = 3.292239279923822e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.710111999999568 y2[1] (analytic) = 0.9903112574370062 y2[1] (numeric) = 0.9903112574369607 absolute error = 4.551914400963142e-14 relative error = 4.596448204318923e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.1388654506835149 y1[1] (numeric) = -0.1388654506839462 absolute error = 4.313216450668733e-13 relative error = 3.106040004506871e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.720095999999561 y2[1] (analytic) = 0.9888754909807587 y2[1] (numeric) = 0.9888754909807079 absolute error = 5.073719222536965e-14 relative error = 5.130796818014867e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.1487456330033374 y1[1] (numeric) = -0.1487456330037754 absolute error = 4.380107387902399e-13 relative error = 2.944696458956965e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.730079999999553 y2[1] (analytic) = 0.987341153981217 y2[1] (numeric) = 0.9873411539811608 absolute error = 5.617728504603292e-14 relative error = 5.689754227250779e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.1586109884435461 y1[1] (numeric) = -0.1586109884439908 absolute error = 4.446998325136065e-13 relative error = 2.803713896984426e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.740063999999546 y2[1] (analytic) = 0.9857083993802157 y2[1] (numeric) = 0.9857083993801535 absolute error = 6.217248937900877e-14 relative error = 6.307391660464797e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.1684605336311539 y1[1] (numeric) = -0.1684605336316053 absolute error = 4.51388926236973e-13 relative error = 2.679493626829497e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.750047999999539 y2[1] (analytic) = 0.9839773899297994 y2[1] (numeric) = 0.9839773899297317 absolute error = 6.772360450213455e-14 relative error = 6.882638279622075e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.1782932867691305 y1[1] (numeric) = -0.1782932867695884 absolute error = 4.579669976578771e-13 relative error = 2.568616048067431e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.760031999999531 y2[1] (analytic) = 0.982148298176 y2[1] (numeric) = 0.9821482981759262 absolute error = 7.382983113757291e-14 relative error = 7.517177525500601e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.1881082677342675 y1[1] (numeric) = -0.1881082677347319 absolute error = 4.644340467763186e-13 relative error = 2.468972004103535e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.770015999999524 y2[1] (analytic) = 0.9802213064416373 y2[1] (numeric) = 0.980221306441557 absolute error = 8.026912468039882e-14 relative error = 8.188877772080756e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.1979044981748766 y1[1] (numeric) = -0.1979044981753475 absolute error = 4.709010958947601e-13 relative error = 2.379436042321042e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.780127999999517 y2[1] (analytic) = 0.9781700156266252 y2[1] (numeric) = 0.9781700156265388 absolute error = 8.637535131583718e-14 relative error = 8.830300452473418e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.2078062090723176 y1[1] (numeric) = -0.207806209072795 absolute error = 4.773403894375861e-13 relative error = 2.297045846553454e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.790111999999509 y2[1] (analytic) = 0.9760465611896487 y2[1] (numeric) = 0.9760465611895559 absolute error = 9.281464485866309e-14 relative error = 9.509243569849423e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.2175617392600575 y1[1] (numeric) = -0.2175617392605411 absolute error = 4.836686606779494e-13 relative error = 2.22313290159814e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.800095999999502 y2[1] (analytic) = 0.9738258149897615 y2[1] (numeric) = 0.9738258149896619 absolute error = 9.958700530887654e-14 relative error = 1.022636736220877e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.2272955830180754 y1[1] (numeric) = -0.2272955830185652 absolute error = 4.898026428890034e-13 relative error = 2.15491491909041e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.810079999999495 y2[1] (analytic) = 0.9715079983896744 y2[1] (numeric) = 0.9715079983895685 absolute error = 1.059152765492399e-13 relative error = 1.090215178102497e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.2370067700823935 y1[1] (numeric) = -0.2370067700828894 absolute error = 4.959088695244418e-13 relative error = 2.092382716966452e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.820063999999487 y2[1] (analytic) = 0.9690933424280201 y2[1] (numeric) = 0.9690933424279077 absolute error = 1.124655923945284e-13 relative error = 1.160523836772533e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.24669433244744 y1[1] (numeric) = -0.2466943324479421 absolute error = 5.020150961598802e-13 relative error = 2.03496809667015e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.83004799999948 y2[1] (analytic) = 0.966582087796324 y2[1] (numeric) = 0.9665820877962046 absolute error = 1.194599974496668e-13 relative error = 1.235901212715616e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.2563573044625399 y1[1] (numeric) = -0.2563573044630481 absolute error = 5.081490783709341e-13 relative error = 1.982190753005001e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.840031999999473 y2[1] (analytic) = 0.9639744848150111 y2[1] (numeric) = 0.9639744848148839 absolute error = 1.272315586220429e-13 relative error = 1.319864380502343e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.2659947229281699 y1[1] (numeric) = -0.265994722928684 absolute error = 5.140887715526787e-13 relative error = 1.932702896859743e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.850015999999465 y2[1] (analytic) = 0.9612707934084551 y2[1] (numeric) = 0.9612707934083203 absolute error = 1.34781075189494e-13 relative error = 1.402113495111923e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.2756056271919702 y1[1] (numeric) = -0.2756056271924902 absolute error = 5.199729535831921e-13 relative error = 1.886655794662024e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.860127999999458 y2[1] (analytic) = 0.9584347710277885 y2[1] (numeric) = 0.9584347710276454 absolute error = 1.431077478741827e-13 relative error = 1.493140192740706e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.2853117412321314 y1[1] (numeric) = -0.285311741232657 absolute error = 5.256350910087804e-13 relative error = 1.842318471503493e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.87011199999945 y2[1] (analytic) = 0.9555384978122948 y2[1] (numeric) = 0.9555384978121438 absolute error = 1.509903313490213e-13 relative error = 1.580159582211639e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.2948663751576689 y1[1] (numeric) = -0.2948663751581999 absolute error = 5.310196726782124e-13 relative error = 1.800882424773829e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.880095999999443 y2[1] (analytic) = 0.952546977065917 y2[1] (numeric) = 0.9525469770657584 absolute error = 1.585398479164724e-13 relative error = 1.664378258853067e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.3043916169715972 y1[1] (numeric) = -0.3043916169721337 absolute error = 5.364597654988756e-13 relative error = 1.762399933467723e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.890079999999436 y2[1] (analytic) = 0.9494605069817317 y2[1] (numeric) = 0.9494605069815654 absolute error = 1.663114090888484e-13 relative error = 1.75164114637628e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.313886517203261 y1[1] (numeric) = -0.3138865172038026 absolute error = 5.415667914121514e-13 relative error = 1.725358566648638e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.900063999999428 y2[1] (analytic) = 0.9462793952173116 y2[1] (numeric) = 0.9462793952171374 absolute error = 1.741939925636871e-13 relative error = 1.840830450753751e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.3233501294064362 y1[1] (numeric) = -0.3233501294069832 absolute error = 5.469513730815834e-13 relative error = 1.691514316340634e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.910047999999421 y2[1] (analytic) = 0.9430039588640576 y2[1] (numeric) = 0.9430039588638758 absolute error = 1.818545314336006e-13 relative error = 1.928459893770357e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.3327815102536717 y1[1] (numeric) = -0.3327815102542238 absolute error = 5.520583989948591e-13 relative error = 1.658921490481961e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.920031999999414 y2[1] (analytic) = 0.939634524415592 y2[1] (numeric) = 0.9396345244154022 absolute error = 1.898481372109018e-13 relative error = 2.020446591497671e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.3421797196303196 y1[1] (numeric) = -0.3421797196308766 absolute error = 5.570544026056723e-13 relative error = 1.627958557004771e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.930015999999406 y2[1] (analytic) = 0.9361714277352132 y2[1] (numeric) = 0.9361714277350148 absolute error = 1.983968545005155e-13 relative error = 2.119236377257073e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.351543820728245 y1[1] (numeric) = -0.351543820728807 absolute error = 5.619948950652542e-13 relative error = 1.598648196691516e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.940127999999399 y2[1] (analytic) = 0.9325688146539035 y2[1] (numeric) = 0.9325688146536967 absolute error = 2.068345494876667e-13 relative error = 2.217901201901411e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.360992251904405 y1[1] (numeric) = -0.3609922519049718 absolute error = 5.668243652223737e-13 relative error = 1.570184296843234e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.950111999999392 y2[1] (analytic) = 0.9289182489246346 y2[1] (numeric) = 0.9289182489244189 absolute error = 2.157163336846679e-13 relative error = 2.322231627319117e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.3702848725168106 y1[1] (numeric) = -0.3702848725173821 absolute error = 5.715428130770306e-13 relative error = 1.543521908395226e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.960095999999384 y2[1] (analytic) = 0.9251750891556635 y2[1] (numeric) = 0.9251750891554393 absolute error = 2.241540286718191e-13 relative error = 2.422828190028196e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.3795405833449304 y1[1] (numeric) = -0.3795405833455064 absolute error = 5.760392163267625e-13 relative error = 1.517727593845352e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.970079999999377 y2[1] (analytic) = 0.9213397084630149 y2[1] (numeric) = 0.921339708462782 absolute error = 2.329247905663578e-13 relative error = 2.528109756117258e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.3887584617848035 y1[1] (numeric) = -0.3887584617853843 absolute error = 5.807576641814194e-13 relative error = 1.493877873461946e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.98006399999937 y2[1] (analytic) = 0.9174124891552425 y2[1] (numeric) = 0.9174124891549997 absolute error = 2.428057754855217e-13 relative error = 2.646636909304542e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.3979375890035797 y1[1] (numeric) = -0.3979375890041648 absolute error = 5.850320228262262e-13 relative error = 1.470160243698324e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 1.990047999999362 y2[1] (analytic) = 0.9133938226953204 y2[1] (numeric) = 0.9133938226950683 absolute error = 2.521316488923731e-13 relative error = 2.760382680806418e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4070770500311084 y1[1] (numeric) = -0.4070770500316974 absolute error = 5.890288257148768e-13 relative error = 1.446971342820392e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.000031999999355 y2[1] (analytic) = 0.9092841096616225 y2[1] (numeric) = 0.9092841096613612 absolute error = 2.613464999967618e-13 relative error = 2.874200673032968e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4161759338511424 y1[1] (numeric) = -0.4161759338517353 absolute error = 5.929146063010649e-13 relative error = 1.4246729761965e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.010015999999365 y2[1] (analytic) = 0.905083759707986 y2[1] (numeric) = 0.9050837597077227 absolute error = 2.633449014410871e-13 relative error = 2.909619122168893e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4252333334921624 y1[1] (numeric) = -0.4252333334927436 absolute error = 5.812017533912694e-13 relative error = 1.366783146133537e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.020127999999375 y2[1] (analytic) = 0.9007376003554495 y2[1] (numeric) = 0.9007376003551845 absolute error = 2.650102359780249e-13 relative error = 2.942146923515199e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4343636440885754 y1[1] (numeric) = -0.4343636440891447 absolute error = 5.693778781790115e-13 relative error = 1.310832262156139e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.030111999999385 y2[1] (analytic) = 0.8963560932751249 y2[1] (numeric) = 0.8963560932748579 absolute error = 2.670086374223501e-13 relative error = 2.978823253677546e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4433348103279909 y1[1] (numeric) = -0.4433348103285484 absolute error = 5.574984918155224e-13 relative error = 1.257511205589902e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.040095999999395 y2[1] (analytic) = 0.891885237932147 y2[1] (numeric) = 0.8918852379318782 absolute error = 2.687849942617504e-13 relative error = 3.013672419166097e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4522617852071049 y1[1] (numeric) = -0.4522617852076507 absolute error = 5.458411500569582e-13 relative error = 1.206914154391799e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.050079999999405 y2[1] (analytic) = 0.8873254799788193 y2[1] (numeric) = 0.8873254799785487 absolute error = 2.705613511011506e-13 relative error = 3.049178201302289e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4611436788901675 y1[1] (numeric) = -0.461143678890702 absolute error = 5.344613640545504e-13 relative error = 1.15899097942931e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.060063999999415 y2[1] (analytic) = 0.8826772739292061 y2[1] (numeric) = 0.8826772739289344 absolute error = 2.717825964282383e-13 relative error = 3.079070963483719e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4699796060350971 y1[1] (numeric) = -0.46997960603562 absolute error = 5.228595334472175e-13 relative error = 1.112515366056482e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.070047999999425 y2[1] (analytic) = 0.8779410831138279 y2[1] (numeric) = 0.8779410831135551 absolute error = 2.72781797150401e-13 relative error = 3.107062676494362e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4787686858817302 y1[1] (numeric) = -0.4787686858822414 absolute error = 5.112021916886533e-13 relative error = 1.067743582158452e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.080031999999435 y2[1] (analytic) = 0.8731173796334757 y2[1] (numeric) = 0.8731173796332024 absolute error = 2.733369086627135e-13 relative error = 3.130586047633791e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4875100423396149 y1[1] (numeric) = -0.4875100423401145 absolute error = 4.996558722325517e-13 relative error = 1.024914009636904e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.090015999999445 y2[1] (analytic) = 0.8682066443121534 y2[1] (numeric) = 0.8682066443118791 absolute error = 2.743361093848762e-13 relative error = 3.159802003153547e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4962028040753397 y1[1] (numeric) = -0.496202804075828 absolute error = 4.882760862301438e-13 relative error = 9.840252457662607e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.100127999999455 y2[1] (analytic) = 0.8631447392765254 y2[1] (numeric) = 0.8631447392762509 absolute error = 2.744471316873387e-13 relative error = 3.179618888917472e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5049565912623174 y1[1] (numeric) = -0.5049565912627942 absolute error = 4.768407890765047e-13 relative error = 9.443203580816179e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.110111999999465 y2[1] (analytic) = 0.8580603175381106 y2[1] (numeric) = 0.8580603175378355 absolute error = 2.751132655021138e-13 relative error = 3.206222917888225e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5135489182798429 y1[1] (numeric) = -0.5135489182803087 absolute error = 4.657385588302532e-13 relative error = 9.069020345525546e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.120095999999475 y2[1] (analytic) = 0.8528903648380626 y2[1] (numeric) = 0.8528903648377874 absolute error = 2.752242878045763e-13 relative error = 3.226959749472992e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5220900550349494 y1[1] (numeric) = -0.5220900550354038 absolute error = 4.544142839790766e-13 relative error = 8.70375291765819e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.130079999999485 y2[1] (analytic) = 0.8476353965143092 y2[1] (numeric) = 0.8476353965140337 absolute error = 2.754463324095013e-13 relative error = 3.249585063840021e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5305791501520106 y1[1] (numeric) = -0.5305791501524538 absolute error = 4.432010314303625e-13 relative error = 8.353155816684196e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.140063999999495 y2[1] (analytic) = 0.8422959363790871 y2[1] (numeric) = 0.8422959363788115 absolute error = 2.755573547119639e-13 relative error = 3.27150283897304e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5390153574428812 y1[1] (numeric) = -0.5390153574433132 absolute error = 4.319877788816484e-13 relative error = 8.01438721395662e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.150047999999505 y2[1] (analytic) = 0.8368725166667281 y2[1] (numeric) = 0.8368725166664529 absolute error = 2.752242878045763e-13 relative error = 3.288724176303429e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5473978359912439 y1[1] (numeric) = -0.5473978359916646 absolute error = 4.206635040304718e-13 relative error = 7.684785659934554e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.160031999999515 y2[1] (analytic) = 0.8313656779806072 y2[1] (numeric) = 0.8313656779803323 absolute error = 2.748912208971888e-13 relative error = 3.306501918204049e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.555725750236432 y1[1] (numeric) = -0.5557257502368415 absolute error = 4.094502514817577e-13 relative error = 7.367847383490116e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.170015999999525 y2[1] (analytic) = 0.8257759692392547 y2[1] (numeric) = 0.82577596923898 absolute error = 2.746691762922637e-13 relative error = 3.326194833997197e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5639982700567171 y1[1] (numeric) = -0.5639982700571156 absolute error = 3.984590435379687e-13 relative error = 7.064898328462933e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.180127999999535 y2[1] (analytic) = 0.8200306974384796 y2[1] (numeric) = 0.820030697438206 absolute error = 2.735589532676386e-13 relative error = 3.335959911283218e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5723195394694828 y1[1] (numeric) = -0.5723195394698708 absolute error = 3.880229471064922e-13 relative error = 6.779830502837172e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.190111999999545 y2[1] (analytic) = 0.8142758839899763 y2[1] (numeric) = 0.8142758839897036 absolute error = 2.726707748479384e-13 relative error = 3.348628888673989e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5804780656944263 y1[1] (numeric) = -0.5804780656948039 absolute error = 3.775868506750157e-13 relative error = 6.504756561702436e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.200095999999555 y2[1] (analytic) = 0.8084399039871307 y2[1] (numeric) = 0.8084399039868593 absolute error = 2.714495295208508e-13 relative error = 3.3576958309714e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5885787301978205 y1[1] (numeric) = -0.5885787301981876 absolute error = 3.671507542435393e-13 relative error = 6.237920866086011e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.210079999999565 y2[1] (analytic) = 0.8025233391570914 y2[1] (numeric) = 0.8025233391568211 absolute error = 2.703393064962256e-13 relative error = 3.368616129970366e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5966207255100614 y1[1] (numeric) = -0.5966207255104181 absolute error = 3.567146578120628e-13 relative error = 5.978918307055144e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.220063999999575 y2[1] (analytic) = 0.7965267792596561 y2[1] (numeric) = 0.7965267792593872 absolute error = 2.688960165642129e-13 relative error = 3.375856575897453e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.6046032500096564 y1[1] (numeric) = -0.604603250010002 absolute error = 3.456124275658112e-13 relative error = 5.716350806256686e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.230047999999585 y2[1] (analytic) = 0.7904508220284853 y2[1] (numeric) = 0.7904508220282184 absolute error = 2.668976151198876e-13 relative error = 3.376523974444921e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.6125255080031295 y1[1] (numeric) = -0.6125255080034645 absolute error = 3.349542865294097e-13 relative error = 5.46841367670354e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.240031999999595 y2[1] (analytic) = 0.7842960731115204 y2[1] (numeric) = 0.7842960731112553 absolute error = 2.651212582804874e-13 relative error = 3.38037212437744e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.6203867098043354 y1[1] (numeric) = -0.62038670980466 absolute error = 3.246292124003958e-13 relative error = 5.232691275781536e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.250015999999605 y2[1] (analytic) = 0.7780631460106128 y2[1] (numeric) = 0.7780631460103491 absolute error = 2.636779683484747e-13 relative error = 3.388901912401826e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.6281860718131754 y1[1] (numeric) = -0.6281860718134897 absolute error = 3.143041382713818e-13 relative error = 5.003360506930451e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.260127999999615 y2[1] (analytic) = 0.7716712575778709 y2[1] (numeric) = 0.7716712575776095 absolute error = 2.614575222992244e-13 relative error = 3.388198273963057e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.6360215957246949 y1[1] (numeric) = -0.6360215957249987 absolute error = 3.038680418399053e-13 relative error = 4.777637172738961e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.270111999999625 y2[1] (analytic) = 0.7652828635864433 y2[1] (numeric) = 0.7652828635861837 absolute error = 2.595701431573616e-13 relative error = 3.391819620014811e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.6436941344310458 y1[1] (numeric) = -0.6436941344313396 absolute error = 2.937650123158164e-13 relative error = 4.563736044844841e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.280095999999635 y2[1] (analytic) = 0.7588181866369226 y2[1] (numeric) = 0.7588181866366648 absolute error = 2.577937863179613e-13 relative error = 3.39730637533217e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.6513025100742762 y1[1] (numeric) = -0.6513025100745597 absolute error = 2.83550960489265e-13 relative error = 4.353598460060105e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.290079999999645 y2[1] (analytic) = 0.7522778711246093 y2[1] (numeric) = 0.7522778711243541 absolute error = 2.552402733613235e-13 relative error = 3.392898863019258e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.6588459642558537 y1[1] (numeric) = -0.6588459642561271 absolute error = 2.733369086627135e-13 relative error = 4.148722516217265e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.300063999999655 y2[1] (analytic) = 0.7456625689844129 y2[1] (numeric) = 0.7456625689841601 absolute error = 2.527977827071481e-13 relative error = 3.390243700330257e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.6663237450485806 y1[1] (numeric) = -0.666323745048844 absolute error = 2.633449014410871e-13 relative error = 3.952206467171406e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.310047999999665 y2[1] (analytic) = 0.7389729396258662 y2[1] (numeric) = 0.7389729396256159 absolute error = 2.502442697505103e-13 relative error = 3.386379342621209e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.6737351070715447 y1[1] (numeric) = -0.6737351070717982 absolute error = 2.534639165219232e-13 relative error = 3.762070788082112e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.320031999999675 y2[1] (analytic) = 0.7322096498673974 y2[1] (numeric) = 0.7322096498671504 absolute error = 2.470246229790973e-13 relative error = 3.373687072054203e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.6810793115644191 y1[1] (numeric) = -0.6810793115646628 absolute error = 2.436939539052219e-13 relative error = 3.578055444753769e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.330015999999685 y2[1] (analytic) = 0.7253733738698611 y2[1] (numeric) = 0.7253733738696171 absolute error = 2.440270208126094e-13 relative error = 3.364157406422671e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.6883556264611009 y1[1] (numeric) = -0.6883556264613351 absolute error = 2.341460358934455e-13 relative error = 3.401527159692319e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.340127999999695 y2[1] (analytic) = 0.7183757550781303 y2[1] (numeric) = 0.7183757550778895 absolute error = 2.408073740411965e-13 relative error = 3.352108869751685e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.6956552842578902 y1[1] (numeric) = -0.6956552842581148 absolute error = 2.245981178816692e-13 relative error = 3.228583509162379e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.350111999999705 y2[1] (analytic) = 0.7113946444642566 y2[1] (numeric) = 0.7113946444640192 absolute error = 2.373656826648585e-13 relative error = 3.336624537616753e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7027927573812738 y1[1] (numeric) = -0.7027927573814887 absolute error = 2.149391775674303e-13 relative error = 3.05835789156864e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.360095999999715 y2[1] (analytic) = 0.7043426224391472 y2[1] (numeric) = 0.7043426224389131 absolute error = 2.341460358934455e-13 relative error = 3.324320131054896e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.709860176524606 y1[1] (numeric) = -0.7098601765248115 absolute error = 2.055022818581165e-13 relative error = 2.894968455115092e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.370079999999725 y2[1] (analytic) = 0.6972203919443242 y2[1] (numeric) = 0.6972203919440934 absolute error = 2.3081536681957e-13 relative error = 3.310507975475301e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7168568372115892 y1[1] (numeric) = -0.7168568372117861 absolute error = 1.968425422660403e-13 relative error = 2.745911485363147e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.380063999999735 y2[1] (analytic) = 0.690028662919649 y2[1] (numeric) = 0.6900286629194218 absolute error = 2.272626531407695e-13 relative error = 3.293524825174303e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7237820420190884 y1[1] (numeric) = -0.7237820420192758 absolute error = 1.874056465567264e-13 relative error = 2.589255268532677e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.390047999999745 y2[1] (analytic) = 0.6827681522325573 y2[1] (numeric) = 0.6827681522323336 absolute error = 2.23709939461969e-13 relative error = 3.276513978141314e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7306351006466495 y1[1] (numeric) = -0.7306351006468275 absolute error = 1.779687508474126e-13 relative error = 2.435808937866537e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.400031999999755 y2[1] (analytic) = 0.6754395836066009 y2[1] (numeric) = 0.6754395836063811 absolute error = 2.19824158875781e-13 relative error = 3.254534738725264e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7374153299853086 y1[1] (numeric) = -0.7374153299854772 absolute error = 1.686428774405613e-13 relative error = 2.286945640849657e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.410015999999765 y2[1] (analytic) = 0.6680436875493089 y2[1] (numeric) = 0.6680436875490932 absolute error = 2.157163336846679e-13 relative error = 3.229075249195371e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7441220541856836 y1[1] (numeric) = -0.7441220541858429 absolute error = 1.5931700403371e-13 relative error = 2.141006346170664e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.420127999999775 y2[1] (analytic) = 0.6604850992787458 y2[1] (numeric) = 0.6604850992785337 absolute error = 2.120525977034049e-13 relative error = 3.210558390113082e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7508391529686937 y1[1] (numeric) = -0.7508391529688438 absolute error = 1.501021529293212e-13 relative error = 1.999125276510183e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.430111999999785 y2[1] (analytic) = 0.65295592732658 y2[1] (numeric) = 0.6529559273263722 absolute error = 2.078337502098293e-13 relative error = 3.182967509932411e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7573959050384983 y1[1] (numeric) = -0.7573959050386397 absolute error = 1.414424133372449e-13 relative error = 1.867483206554377e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.440095999999795 y2[1] (analytic) = 0.6453616691010757 y2[1] (numeric) = 0.6453616691008722 absolute error = 2.035038804137912e-13 relative error = 3.153330762535862e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7638771603177265 y1[1] (numeric) = -0.7638771603178589 absolute error = 1.324496068377812e-13 relative error = 1.733912384324859e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.450079999999805 y2[1] (analytic) = 0.6377030815935486 y2[1] (numeric) = 0.6377030815933497 absolute error = 1.989519660128281e-13 relative error = 3.119821304856633e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7702822727585595 y1[1] (numeric) = -0.7702822727586833 absolute error = 1.23789867245705e-13 relative error = 1.60707148046371e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.460063999999815 y2[1] (analytic) = 0.6299809282076207 y2[1] (numeric) = 0.6299809282074261 absolute error = 1.946220962167899e-13 relative error = 3.089333144901951e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.776610603903053 y1[1] (numeric) = -0.7766106039031689 absolute error = 1.159072837708663e-13 relative error = 1.492476193195727e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.470047999999825 y2[1] (analytic) = 0.6221959786831244 y2[1] (numeric) = 0.6221959786829342 absolute error = 1.901812041182893e-13 relative error = 3.056612556718981e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7828615229467784 y1[1] (numeric) = -0.7828615229468862 absolute error = 1.078026556911027e-13 relative error = 1.377033517822174e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.480031999999835 y2[1] (analytic) = 0.6143490090193751 y2[1] (numeric) = 0.6143490090191891 absolute error = 1.859623566247137e-13 relative error = 3.026982283597188e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7890344068017008 y1[1] (numeric) = -0.7890344068018003 absolute error = 9.947598300641403e-14 relative error = 1.260730611351074e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.490015999999845 y2[1] (analytic) = 0.6064408013978204 y2[1] (numeric) = 0.6064408013976389 absolute error = 1.815214645262131e-13 relative error = 2.993226446964218e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7951286401582888 y1[1] (numeric) = -0.7951286401583801 absolute error = 9.137135492665038e-14 relative error = 1.149139275230494e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.500127999999855 y2[1] (analytic) = 0.5983695928188786 y2[1] (numeric) = 0.5983695928187018 absolute error = 1.767475055203249e-13 relative error = 2.953818302960205e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8012202134181148 y1[1] (numeric) = -0.801220213418198 absolute error = 8.326672684688674e-14 relative error = 1.039248953688519e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.510111999999865 y2[1] (analytic) = 0.5903405205348234 y2[1] (numeric) = 0.5903405205346514 absolute error = 1.720845688168993e-13 relative error = 2.915005201760468e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8071543035966999 y1[1] (numeric) = -0.8071543035967758 absolute error = 7.582823258189819e-14 relative error = 9.394515056663352e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.520095999999875 y2[1] (analytic) = 0.5822526034453619 y2[1] (numeric) = 0.5822526034451951 absolute error = 1.667554982986985e-13 relative error = 2.863971707673896e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8130079370960028 y1[1] (numeric) = -0.8130079370960704 absolute error = 6.761258219967203e-14 relative error = 8.316349584627499e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.530079999999885 y2[1] (analytic) = 0.5741066477494432 y2[1] (numeric) = 0.5741066477492814 absolute error = 1.617594946878853e-13 relative error = 2.817586163163222e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8187805304291845 y1[1] (numeric) = -0.8187805304292445 absolute error = 5.995204332975845e-14 relative error = 7.322113936726497e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.540063999999895 y2[1] (analytic) = 0.5659034654312715 y2[1] (numeric) = 0.5659034654311148 absolute error = 1.566524687746096e-13 relative error = 2.768183592147218e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8244715081874435 y1[1] (numeric) = -0.8244715081874958 absolute error = 5.229150445984487e-14 relative error = 6.342427111253966e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.550047999999905 y2[1] (analytic) = 0.5576438741793679 y2[1] (numeric) = 0.5576438741792162 absolute error = 1.516564651637964e-13 relative error = 2.719593493015143e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8300803030973722 y1[1] (numeric) = -0.8300803030974169 absolute error = 4.463096558993129e-14 relative error = 5.376704569834357e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.560031999999915 y2[1] (analytic) = 0.5493286973050638 y2[1] (numeric) = 0.5493286973049173 absolute error = 1.465494392505207e-13 relative error = 2.66779143287932e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8356063560775022 y1[1] (numeric) = -0.8356063560775397 absolute error = 3.752553823233029e-14 relative error = 4.490815317451919e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.570015999999925 y2[1] (analytic) = 0.5409587636604339 y2[1] (numeric) = 0.5409587636602927 absolute error = 1.412203687323199e-13 relative error = 2.610557000255302e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8410491162940336 y1[1] (numeric) = -0.8410491162940642 absolute error = 3.064215547965432e-14 relative error = 3.643325328569957e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.580127999999935 y2[1] (analytic) = 0.5324265629641702 y2[1] (numeric) = 0.5324265629640342 absolute error = 1.360023205165817e-13 relative error = 2.554386463354083e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8464761987499474 y1[1] (numeric) = -0.8464761987499712 absolute error = 2.375877272697835e-14 relative error = 2.806785679510499e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.590111999999945 y2[1] (analytic) = 0.5239489490107894 y2[1] (numeric) = 0.5239489490106588 absolute error = 1.305622276959184e-13 relative error = 2.4918883403129e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8517496691108775 y1[1] (numeric) = -0.8517496691108944 absolute error = 1.69864122767649e-14 relative error = 1.994296316486584e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.600095999999955 y2[1] (analytic) = 0.5154191081258751 y2[1] (numeric) = 0.5154191081257499 absolute error = 1.252331571777177e-13 relative error = 2.429734466637844e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8569382375519997 y1[1] (numeric) = -0.8569382375520103 absolute error = 1.054711873393899e-14 relative error = 1.230791003569727e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.610079999999965 y2[1] (analytic) = 0.5068378905590877 y2[1] (numeric) = 0.5068378905589679 absolute error = 1.197930643570544e-13 relative error = 2.363538057995465e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8620413868797798 y1[1] (numeric) = -0.8620413868797837 absolute error = 3.885780586188048e-15 relative error = 4.507649685188442e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.620063999999975 y2[1] (analytic) = 0.4982061516812856 y2[1] (numeric) = 0.4982061516811714 absolute error = 1.141864380826974e-13 relative error = 2.291951588661739e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.867058608415212 y1[1] (numeric) = -0.8670586084152102 absolute error = 1.77635683940025e-15 relative error = 2.048715994697326e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.630047999999985 y2[1] (analytic) = 0.4895247518992627 y2[1] (numeric) = 0.4895247518991542 absolute error = 1.084687895058778e-13 relative error = 2.215797854654735e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8719894020445234 y1[1] (numeric) = -0.8719894020445157 absolute error = 7.66053886991358e-15 relative error = 8.785128410909788e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.640031999999995 y2[1] (analytic) = 0.4807945565699835 y2[1] (numeric) = 0.4807945565698807 absolute error = 1.027511409290582e-13 relative error = 2.137111153297801e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8768332762690254 y1[1] (numeric) = -0.8768332762690119 absolute error = 1.354472090042691e-14 relative error = 1.544731623104047e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.650016000000005 y2[1] (analytic) = 0.4720164359143246 y2[1] (numeric) = 0.4720164359142276 absolute error = 9.697798120100742e-14 relative error = 2.054546702662062e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8815897482541062 y1[1] (numeric) = -0.8815897482540869 absolute error = 1.931788062847772e-14 relative error = 2.191255135025641e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.660000000000015 y2[1] (analytic) = 0.4631912649303318 y2[1] (numeric) = 0.4631912649302407 absolute error = 9.109379917049409e-14 relative error = 1.966656240466785e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.886258343877359 y1[1] (numeric) = -0.8862583438773337 absolute error = 2.531308496145357e-14 relative error = 2.856174515741023e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.670112000000025 y2[1] (analytic) = 0.4542058922440078 y2[1] (numeric) = 0.4542058922439228 absolute error = 8.498757253505573e-14 relative error = 1.87112439504415e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8908967434281173 y1[1] (numeric) = -0.890896743428087 absolute error = 3.030908857226677e-14 relative error = 3.402087704983545e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.680096000000035 y2[1] (analytic) = 0.4452886894363247 y2[1] (numeric) = 0.4452886894362457 absolute error = 7.899236820207989e-14 relative error = 1.773958559380288e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8953870576795715 y1[1] (numeric) = -0.8953870576795356 absolute error = 3.586020369539256e-14 relative error = 4.004994643135181e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.690080000000045 y2[1] (analytic) = 0.4363271005067881 y2[1] (numeric) = 0.4363271005067152 absolute error = 7.283063041541027e-14 relative error = 1.669175037049463e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8997881202612864 y1[1] (numeric) = -0.8997881202612453 absolute error = 4.107825191113079e-14 relative error = 4.565324989976776e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.700064000000055 y2[1] (analytic) = 0.4273220187414564 y2[1] (numeric) = 0.4273220187413895 absolute error = 6.689093723366568e-14 relative error = 1.565351989833617e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9040994924778614 y1[1] (numeric) = -0.9040994924778154 absolute error = 4.596323321948148e-14 relative error = 5.083868932777548e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.710048000000065 y2[1] (analytic) = 0.4182743417617288 y2[1] (numeric) = 0.4182743417616681 absolute error = 6.078471059822732e-14 relative error = 1.45322589815594e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9083207445741799 y1[1] (numeric) = -0.9083207445741294 absolute error = 5.051514762044462e-14 relative error = 5.561377731621234e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.720032000000075 y2[1] (analytic) = 0.4091849714348716 y2[1] (numeric) = 0.4091849714348171 absolute error = 5.451195050909519e-14 relative error = 1.332208030953347e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9124514557782476 y1[1] (numeric) = -0.9124514557781923 absolute error = 5.52891066263328e-14 relative error = 6.059402533275114e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.730016000000085 y2[1] (analytic) = 0.4000548137841195 y2[1] (numeric) = 0.4000548137840712 absolute error = 4.835021272242557e-14 relative error = 1.208589699623429e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9164912143431346 y1[1] (numeric) = -0.9164912143430746 absolute error = 6.006306563222097e-14 relative error = 6.553588806115204e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.740000000000095 y2[1] (analytic) = 0.3908847788983648 y2[1] (numeric) = 0.3908847788983227 absolute error = 4.202194148206218e-14 relative error = 1.075046759315958e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9204396175880178 y1[1] (numeric) = -0.9204396175879537 absolute error = 6.417089082333405e-14 relative error = 6.971765403959011e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.750112000000105 y2[1] (analytic) = 0.3815574677922662 y2[1] (numeric) = 0.3815574677922303 absolute error = 3.591571484662381e-14 relative error = 9.412924101429891e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.9243451188662998 y1[1] (numeric) = -0.9243451188662318 absolute error = 6.794564910705958e-14 relative error = 7.350679710452114e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.760096000000115 y2[1] (analytic) = 0.3723099427288905 y2[1] (numeric) = 0.3723099427288608 absolute error = 2.969846590872294e-14 relative error = 7.976812461962327e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.9281084562405465 y1[1] (numeric) = -0.928108456240474 absolute error = 7.249756350802272e-14 relative error = 7.811324530075486e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.770080000000125 y2[1] (analytic) = 0.3630253060233884 y2[1] (numeric) = 0.3630253060233652 absolute error = 2.320366121466577e-14 relative error = 6.391747580586253e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.9317792802947623 y1[1] (numeric) = -0.9317792802946862 absolute error = 7.616129948928574e-14 relative error = 8.173748987549134e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.780064000000135 y2[1] (analytic) = 0.3537044831630361 y2[1] (numeric) = 0.3537044831630192 absolute error = 1.693090112553364e-14 relative error = 4.786736366507837e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.9353572251233052 y1[1] (numeric) = -0.9353572251232253 absolute error = 7.993605777301127e-14 relative error = 8.546045898397112e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.790048000000145 y2[1] (analytic) = 0.3443484032421245 y2[1] (numeric) = 0.3443484032421138 absolute error = 1.071365218763276e-14 relative error = 3.11128266800749e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.9388419340786814 y1[1] (numeric) = -0.9388419340785982 absolute error = 8.326672684688674e-14 relative error = 8.869089015351588e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.800032000000155 y2[1] (analytic) = 0.3349579988693484 y2[1] (numeric) = 0.3349579988693439 absolute error = 4.496403249731884e-15 relative error = 1.34237822798963e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.9422330598070955 y1[1] (numeric) = -0.9422330598070089 absolute error = 8.659739592076221e-14 relative error = 9.190655647180476e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.810016000000165 y2[1] (analytic) = 0.3255342060748443 y2[1] (numeric) = 0.3255342060748461 absolute error = 1.831867990631508e-15 relative error = 5.627267293103876e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 y1[1] (analytic) = -0.9455302642830745 y1[1] (numeric) = -0.9455302642829846 absolute error = 8.992806499463768e-14 relative error = 9.510860560642495e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.820000000000175 y2[1] (analytic) = 0.3160779642168874 y2[1] (numeric) = 0.3160779642168954 absolute error = 7.993605777301127e-15 relative error = 2.528998121430588e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.9487332188431625 y1[1] (numeric) = -0.9487332188430695 absolute error = 9.303668946358812e-14 relative error = 9.806412131013222e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.830112000000185 y2[1] (analytic) = 0.3064683776516626 y2[1] (numeric) = 0.3064683776516772 absolute error = 1.454392162258955e-14 relative error = 4.745651650598819e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.9518808399687211 y1[1] (numeric) = -0.951880839968625 absolute error = 9.603429163007604e-14 relative error = 1.008889848368329e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.840096000000195 y2[1] (analytic) = 0.2969496829348475 y2[1] (numeric) = 0.2969496829348685 absolute error = 2.09277040141842e-14 relative error = 7.047558969367838e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.9548931279493499 y1[1] (numeric) = -0.9548931279492513 absolute error = 9.85878045867139e-14 relative error = 1.032448571479753e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.850080000000205 y2[1] (analytic) = 0.2874013884434957 y2[1] (numeric) = 0.2874013884435229 absolute error = 2.720046410331634e-14 relative error = 9.464277208481218e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.9578102327291931 y1[1] (numeric) = -0.9578102327290915 absolute error = 1.015854067532018e-13 relative error = 1.060600558251956e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.860064000000215 y2[1] (analytic) = 0.2778244459461401 y2[1] (numeric) = 0.2778244459461737 absolute error = 3.358424649491099e-14 relative error = 1.208829783878044e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9606318635329146 y1[1] (numeric) = -0.9606318635328106 absolute error = 1.040278974073772e-13 relative error = 1.082911168746724e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.870048000000225 y2[1] (analytic) = 0.2682198100669311 y2[1] (numeric) = 0.268219810066971 absolute error = 3.991251773527438e-14 relative error = 1.488052568723939e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9633577391019701 y1[1] (numeric) = -0.9633577391018637 absolute error = 1.0635936575909e-13 relative error = 1.104048490420982e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.880032000000235 y2[1] (analytic) = 0.2585884381904788 y2[1] (numeric) = 0.2585884381905252 absolute error = 4.635181127810029e-14 relative error = 1.792493570186501e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9659875877226419 y1[1] (numeric) = -0.9659875877225336 absolute error = 1.083577672034153e-13 relative error = 1.121730429879265e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.890016000000245 y2[1] (analytic) = 0.2489312903664229 y2[1] (numeric) = 0.2489312903664756 absolute error = 5.268008251846368e-14 relative error = 2.116249927476752e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9685211472531241 y1[1] (numeric) = -0.9685211472530133 absolute error = 1.108002578575906e-13 relative error = 1.14401485369563e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.900000000000255 y2[1] (analytic) = 0.2392493292137345 y2[1] (numeric) = 0.2392493292137935 absolute error = 5.898059818321144e-14 relative error = 2.465235675980552e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9709581651496516 y1[1] (numeric) = -0.970958165149539 absolute error = 1.125766146969909e-13 relative error = 1.159438364470005e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.910112000000265 y2[1] (analytic) = 0.2294189357496756 y2[1] (numeric) = 0.2294189357497408 absolute error = 6.525335827234358e-14 relative error = 2.844288247572688e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9733277720888716 y1[1] (numeric) = -0.9733277720887572 absolute error = 1.143529715363911e-13 relative error = 1.174866009329793e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.920096000000275 y2[1] (analytic) = 0.2196899585420614 y2[1] (numeric) = 0.219689958542133 absolute error = 7.158162951270697e-14 relative error = 3.258302290543793e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9755697423125562 y1[1] (numeric) = -0.9755697423124404 absolute error = 1.157962614684038e-13 relative error = 1.1869603621973e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.930080000000285 y2[1] (analytic) = 0.2099390827650446 y2[1] (numeric) = 0.2099390827651224 absolute error = 7.779887845060784e-14 relative error = 3.705783478995057e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9777144683023626 y1[1] (numeric) = -0.9777144683022453 absolute error = 1.17350573702879e-13 relative error = 1.20025403640225e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.940064000000295 y2[1] (analytic) = 0.200167280380345 y2[1] (numeric) = 0.2001672803804291 absolute error = 8.404388296412435e-14 relative error = 4.198682362293655e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.979761736273231 y1[1] (numeric) = -0.979761736273112 absolute error = 1.190159082398168e-13 relative error = 1.214743379268143e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.950048000000305 y2[1] (analytic) = 0.1903755254356348 y2[1] (numeric) = 0.1903755254357249 absolute error = 9.012235402394708e-14 relative error = 4.73392542543065e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.981711342154661 y1[1] (numeric) = -0.9817113421545406 absolute error = 1.204591981718295e-13 relative error = 1.227032764106051e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.960032000000315 y2[1] (analytic) = 0.1805647939674458 y2[1] (numeric) = 0.1805647939675421 absolute error = 9.631184738623233e-14 relative error = 5.33392170588894e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9835630916110536 y1[1] (numeric) = -0.9835630916109322 absolute error = 1.213473765915296e-13 relative error = 1.233752848460035e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.970016000000325 y2[1] (analytic) = 0.1707360639038789 y2[1] (numeric) = 0.1707360639039812 absolute error = 1.023348072948238e-13 relative error = 5.993742912594981e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9853168000610821 y1[1] (numeric) = -0.9853168000609602 absolute error = 1.219024881038422e-13 relative error = 1.237190800931083e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.980000000000335 y2[1] (analytic) = 0.1608903149671249 y2[1] (numeric) = 0.1608903149672332 absolute error = 1.083855227790309e-13 relative error = 6.736609521907991e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9869722926960915 y1[1] (numeric) = -0.9869722926959692 absolute error = 1.223465773136923e-13 relative error = 1.239615116038168e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 2.990112000000345 y2[1] (analytic) = 0.1509019955751497 y2[1] (numeric) = 0.1509019955752642 absolute error = 1.144917494144693e-13 relative error = 7.587159399588721e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9885487280510948 y1[1] (numeric) = -0.988548728050972 absolute error = 1.227906665235423e-13 relative error = 1.2421306410016e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.000096000000355 y2[1] (analytic) = 0.1410249681297067 y2[1] (numeric) = 0.1410249681298272 absolute error = 1.204591981718295e-13 relative error = 8.541692990211347e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9900060395593631 y1[1] (numeric) = -0.9900060395592398 absolute error = 1.232347557333924e-13 relative error = 1.244787918548884e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.010080000000365 y2[1] (analytic) = 0.1311338833961083 y2[1] (numeric) = 0.1311338833962348 absolute error = 1.26482158080421e-13 relative error = 9.645269003310446e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9913646678319012 y1[1] (numeric) = -0.991364667831778 absolute error = 1.232347557333924e-13 relative error = 1.243081983170782e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.020064000000375 y2[1] (analytic) = 0.1212297273120228 y2[1] (numeric) = 0.1212297273121551 absolute error = 1.323247067475108e-13 relative error = 1.091520286991421e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9926244774414202 y1[1] (numeric) = -0.9926244774412971 absolute error = 1.231237334309299e-13 relative error = 1.240385827964796e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.030048000000385 y2[1] (analytic) = 0.1113134871180634 y2[1] (numeric) = 0.1113134871182016 absolute error = 1.382088887780242e-13 relative error = 1.241618534791156e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9937853428108189 y1[1] (numeric) = -0.9937853428106962 absolute error = 1.226796442210798e-13 relative error = 1.23446823912791e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.040032000000395 y2[1] (analytic) = 0.1013861512593806 y2[1] (numeric) = 0.1013861512595245 absolute error = 1.439959262938828e-13 relative error = 1.42027214274553e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9948471482257011 y1[1] (numeric) = -0.9948471482255786 absolute error = 1.224575996161548e-13 relative error = 1.230918737964486e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.050016000000405 y2[1] (analytic) = 0.09144870928713401 y2[1] (numeric) = 0.09144870928728378 absolute error = 1.497690860219336e-13 relative error = 1.637738653606178e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9958097878459105 y1[1] (numeric) = -0.9958097878457887 absolute error = 1.217914658013797e-13 relative error = 1.223039452793824e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.060000000000415 y2[1] (analytic) = 0.08150215175985528 y2[1] (numeric) = 0.08150215176001072 absolute error = 1.554312234475219e-13 relative error = 1.907081225358288e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9966731657160804 y1[1] (numeric) = -0.9966731657159592 absolute error = 1.212363542890671e-13 relative error = 1.216410338508134e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.070112000000425 y2[1] (analytic) = 0.07141979759788157 y2[1] (numeric) = 0.07141979759804265 absolute error = 1.610794830853024e-13 relative error = 2.255389800909773e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9974463456803466 y1[1] (numeric) = -0.9974463456802265 absolute error = 1.201261312644419e-13 relative error = 1.204336772445693e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.080096000000435 y2[1] (analytic) = 0.06145789918386518 y2[1] (numeric) = 0.06145789918403172 absolute error = 1.665473314815813e-13 relative error = 2.709941825107255e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9981096766527744 y1[1] (numeric) = -0.9981096766526553 absolute error = 1.191269305422793e-13 relative error = 1.193525454454857e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.090080000000445 y2[1] (analytic) = 0.05148987468161266 y2[1] (numeric) = 0.05148987468178463 absolute error = 1.719666076205328e-13 relative error = 3.339814064102649e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.998673516623562 y1[1] (numeric) = -0.9986735166234441 absolute error = 1.179056852151916e-13 relative error = 1.180622928840865e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.100064000000455 y2[1] (analytic) = 0.0415167176981046 y2[1] (numeric) = 0.04151671769828193 absolute error = 1.77337311502157e-13 relative error = 4.271467527652197e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9991378093894635 y1[1] (numeric) = -0.9991378093893464 absolute error = 1.17128529097954e-13 relative error = 1.17229603361249e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.110048000000465 y2[1] (analytic) = 0.03153942235192435 y2[1] (numeric) = 0.03153942235210698 absolute error = 1.826316875508383e-13 relative error = 5.790584415687472e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9995025086700418 y1[1] (numeric) = -0.9995025086699261 absolute error = 1.156852391659413e-13 relative error = 1.157428202155034e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.120032000000475 y2[1] (analytic) = 0.02155898317416493 y2[1] (numeric) = 0.02155898317435276 absolute error = 1.878289190848648e-13 relative error = 8.712327365696372e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9997675781122811 y1[1] (numeric) = -0.9997675781121672 absolute error = 1.139088823265411e-13 relative error = 1.139353633987801e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.130016000000485 y2[1] (analytic) = 0.01157639500929466 y2[1] (numeric) = 0.01157639500948759 absolute error = 1.929359449981405e-13 relative error = 1.666632356992248e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y1[1] (analytic) = -0.9999329912942111 y1[1] (numeric) = -0.9999329912940985 absolute error = 1.125766146969909e-13 relative error = 1.125841588157655e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.140000000000495 y2[1] (analytic) = 0.001592652915991669 y2[1] (numeric) = 0.001592652916189629 absolute error = 1.979599210250038e-13 relative error = 1.242957075187619e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 h = 0.000128 y1[1] (analytic) = -0.9999987317275403 y1[1] (numeric) = -0.9999987317274295 absolute error = 1.108002578575906e-13 relative error = 1.108003983826844e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.150112000000505 y2[1] (analytic) = -0.008519243356438473 y2[1] (numeric) = -0.008519243356235516 absolute error = 2.029574425188585e-13 relative error = 2.382341177816831e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y1[1] (analytic) = -0.9999637105878562 y1[1] (numeric) = -0.9999637105877475 absolute error = 1.086908341108028e-13 relative error = 1.086947785804206e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.160096000000515 y2[1] (analytic) = -0.0185022905852052 y2[1] (numeric) = -0.01850229058499741 absolute error = 2.077921168464059e-13 relative error = 1.123061579265005e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 y1[1] (analytic) = -0.9998288179699066 y1[1] (numeric) = -0.9998288179698002 absolute error = 1.064703880615525e-13 relative error = 1.064886169991923e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.170080000000525 y2[1] (analytic) = -0.02848349351622988 y2[1] (numeric) = -0.02848349351601734 absolute error = 2.125348508297265e-13 relative error = 7.461684807329699e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9995942629872937 y1[1] (numeric) = -0.9995942629871896 absolute error = 1.041389197098397e-13 relative error = 1.041811898745996e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.180064000000535 y2[1] (analytic) = -0.0384618572289137 y2[1] (numeric) = -0.03846185722869654 absolute error = 2.171665625105845e-13 relative error = 5.646283829147219e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9992600690203239 y1[1] (numeric) = -0.9992600690202228 absolute error = 1.011413175433518e-13 relative error = 1.012162105531855e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.190048000000545 y2[1] (analytic) = -0.0484363870856695 y2[1] (numeric) = -0.04843638708544784 absolute error = 2.216629657603164e-13 relative error = 4.576372828309032e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.998826269381261 y1[1] (numeric) = -0.998826269381162 absolute error = 9.892087149410145e-14 relative error = 9.903711438764979e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.200032000000555 y2[1] (analytic) = -0.0584060888310667 y2[1] (numeric) = -0.05840608883084066 absolute error = 2.260483467075858e-13 relative error = 3.870287349002365e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9982929073110044 y1[1] (numeric) = -0.9982929073109079 absolute error = 9.64783808399261e-14 relative error = 9.664336001324469e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.210016000000565 y2[1] (analytic) = -0.06836996869093807 y2[1] (numeric) = -0.06836996869070777 absolute error = 2.303018886706809e-13 relative error = 3.368465615535753e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9976600359747804 y1[1] (numeric) = -0.9976600359746871 absolute error = 9.325873406851315e-14 relative error = 9.347746798075674e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.220000000000575 y2[1] (analytic) = -0.07832703347143863 y2[1] (numeric) = -0.07832703347120414 absolute error = 2.344929805886409e-13 relative error = 2.99376818189019e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9969277184568418 y1[1] (numeric) = -0.9969277184567511 absolute error = 9.070522111187529e-14 relative error = 9.098475188580287e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.230112000000585 y2[1] (analytic) = -0.08840379022609171 y2[1] (numeric) = -0.08840379022585304 absolute error = 2.38670194718793e-13 relative error = 2.699773325424132e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.996084720228988 y1[1] (numeric) = -0.9960847202289007 absolute error = 8.72635297355373e-14 relative error = 8.760653382523171e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.240096000000595 y2[1] (analytic) = -0.0983441288355438 y2[1] (numeric) = -0.09834412883530115 absolute error = 2.426531198196358e-13 relative error = 2.467387964007623e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9951524668730807 y1[1] (numeric) = -0.9951524668729973 absolute error = 8.337774914934926e-14 relative error = 8.378389435272641e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.250080000000605 y2[1] (analytic) = -0.1082746645584874 y2[1] (numeric) = -0.1082746645582409 absolute error = 2.464833892545926e-13 relative error = 2.276464122605969e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9941210172885125 y1[1] (numeric) = -0.9941210172884329 absolute error = 7.960299086562372e-14 relative error = 8.007374301646159e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.260064000000615 y2[1] (analytic) = -0.1181944075248019 y2[1] (numeric) = -0.1181944075245518 absolute error = 2.501471252358556e-13 relative error = 2.116404070838671e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9929904742895881 y1[1] (numeric) = -0.992990474289512 absolute error = 7.605027718682322e-14 relative error = 7.65871165493623e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.270048000000625 y2[1] (analytic) = -0.1281023689401828 y2[1] (numeric) = -0.128102368939929 absolute error = 2.537969834293108e-13 relative error = 1.98120445023012e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9917609505681867 y1[1] (numeric) = -0.9917609505681146 absolute error = 7.205347429817266e-14 relative error = 7.265205819698056e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.280032000000635 y2[1] (analytic) = -0.1379975611847035 y2[1] (numeric) = -0.1379975611844462 absolute error = 2.572664303812644e-13 relative error = 1.864282442186967e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9904325686825297 y1[1] (numeric) = -0.990432568682461 absolute error = 6.872280522429719e-14 relative error = 6.938665730238662e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.290016000000645 y2[1] (analytic) = -0.1478789979112612 y2[1] (numeric) = -0.1478789979110007 absolute error = 2.60513832728293e-13 relative error = 1.761668907741864e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9890054610449637 y1[1] (numeric) = -0.9890054610448987 absolute error = 6.494804694057166e-14 relative error = 6.5670058962009e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.300000000000655 y2[1] (analytic) = -0.1577456941438955 y2[1] (numeric) = -0.1577456941436318 absolute error = 2.637057239240903e-13 relative error = 1.671714244596358e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9874797699087615 y1[1] (numeric) = -0.9874797699087012 absolute error = 6.0285110237146e-14 relative error = 6.104946356796358e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.310112000000665 y2[1] (analytic) = -0.1677228545255345 y2[1] (numeric) = -0.1677228545252677 absolute error = 2.667865928174251e-13 relative error = 1.59063947231359e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9858341869045759 y1[1] (numeric) = -0.9858341869045201 absolute error = 5.584421813864537e-14 relative error = 5.664666419612696e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.320096000000675 y2[1] (analytic) = -0.1775569002710229 y2[1] (numeric) = -0.1775569002707533 absolute error = 2.696176615302193e-13 relative error = 1.518485967702042e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9841105360507761 y1[1] (numeric) = -0.9841105360507246 absolute error = 5.151434834260726e-14 relative error = 5.234609980839523e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.330080000000685 y2[1] (analytic) = -0.1873732472462567 y2[1] (numeric) = -0.1873732472459844 absolute error = 2.723099523649353e-13 relative error = 1.453302199577349e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9822887896216638 y1[1] (numeric) = -0.982288789621617 absolute error = 4.674038933671909e-14 relative error = 4.758314441796849e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.340064000000695 y2[1] (analytic) = -0.1971709169633842 y2[1] (numeric) = -0.1971709169631094 absolute error = 2.748634653215731e-13 relative error = 1.394036552422266e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9803691292078807 y1[1] (numeric) = -0.9803691292078388 absolute error = 4.18554080283684e-14 relative error = 4.269351898318827e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.350048000000705 y2[1] (analytic) = -0.2069489327962926 y2[1] (numeric) = -0.2069489327960153 absolute error = 2.772504448245172e-13 relative error = 1.339704636686506e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9783517461600789 y1[1] (numeric) = -0.9783517461600421 absolute error = 3.68594044175552e-14 relative error = 3.767500243365869e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.360032000000715 y2[1] (analytic) = -0.2167063200779566 y2[1] (numeric) = -0.2167063200776771 absolute error = 2.795264020249988e-13 relative error = 1.289885786092642e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9762368415698468 y1[1] (numeric) = -0.9762368415698151 absolute error = 3.175237850427948e-14 relative error = 3.252528193181049e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.370016000000725 y2[1] (analytic) = -0.2264421061975934 y2[1] (numeric) = -0.2264421061973117 absolute error = 2.817468480742491e-13 relative error = 1.244233472322487e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9740246262496641 y1[1] (numeric) = -0.9740246262496377 absolute error = 2.642330798607873e-14 relative error = 2.712796706980368e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.380000000000735 y2[1] (analytic) = -0.2361553206976116 y2[1] (numeric) = -0.236155320697328 absolute error = 2.836342272161119e-13 relative error = 1.201049488862863e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9717153207118885 y1[1] (numeric) = -0.9717153207118675 absolute error = 2.098321516541546e-14 relative error = 2.159399437074116e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.390112000000745 y2[1] (analytic) = -0.2459690649279037 y2[1] (numeric) = -0.2459690649276182 absolute error = 2.854660952067434e-13 relative error = 1.160577226613504e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9692776790468729 y1[1] (numeric) = -0.9692776790468575 absolute error = 1.543210004228968e-14 relative error = 1.592123740790631e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.400096000000755 y2[1] (analytic) = -0.2556339134763733 y2[1] (numeric) = -0.255633913476086 absolute error = 2.872702076217593e-13 relative error = 1.123756248594574e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.966773656178505 y1[1] (numeric) = -0.9667736561784949 absolute error = 1.010302952408892e-14 relative error = 1.045025323096258e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.410080000000765 y2[1] (analytic) = -0.2652732805825727 y2[1] (numeric) = -0.265273280582284 absolute error = 2.886579864025407e-13 relative error = 1.088153265072956e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9641732658650932 y1[1] (numeric) = -0.9641732658650888 absolute error = 4.440892098500626e-15 relative error = 4.605906693042446e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.420064000000775 y2[1] (analytic) = -0.2748862053999025 y2[1] (numeric) = -0.2748862053996127 absolute error = 2.897682094271659e-13 relative error = 1.054138780829737e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9614767673120566 y1[1] (numeric) = -0.9614767673120577 absolute error = 1.110223024625157e-15 relative error = 1.154706033853466e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.430048000000785 y2[1] (analytic) = -0.2844717297175157 y2[1] (numeric) = -0.2844717297172246 absolute error = 2.91100477056716e-13 relative error = 1.023301954629315e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.9586844293048284 y1[1] (numeric) = -0.9586844293048354 absolute error = 6.994405055138486e-15 relative error = 7.29583671261913e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.440032000000795 y2[1] (analytic) = -0.2940288980558313 y2[1] (numeric) = -0.2940288980555391 absolute error = 2.922107000813412e-13 relative error = 9.938162609644416e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9557965301820642 y1[1] (numeric) = -0.9557965301820764 absolute error = 1.221245327087672e-14 relative error = 1.277725215067525e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.450016000000805 y2[1] (analytic) = -0.303556757761776 y2[1] (numeric) = -0.303556757761483 absolute error = 2.930433673498101e-13 relative error = 9.653659813423867e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9528133578078964 y1[1] (numeric) = -0.9528133578079149 absolute error = 1.84297022087776e-14 relative error = 1.934240537011168e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.460000000000815 y2[1] (analytic) = -0.3130543591037446 y2[1] (numeric) = -0.3130543591034509 absolute error = 2.936539900133539e-13 relative error = 9.380287527510151e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9497352095432409 y1[1] (numeric) = -0.9497352095432658 absolute error = 2.498001805406602e-14 relative error = 2.630208694282245e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.470112000000825 y2[1] (analytic) = -0.3226419127100508 y2[1] (numeric) = -0.3226419127097567 absolute error = 2.94098079223204e-13 relative error = 9.115309190703368e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9465211018053428 y1[1] (numeric) = -0.946521101805374 absolute error = 3.11972669919669e-14 relative error = 3.295992760484994e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.480096000000835 y2[1] (analytic) = -0.3320757420131039 y2[1] (numeric) = -0.3320757420128096 absolute error = 2.94320123828129e-13 relative error = 8.863041968796231e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9432527241235227 y1[1] (numeric) = -0.9432527241235595 absolute error = 3.68594044175552e-14 relative error = 3.907691276672985e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.490080000000845 y2[1] (analytic) = -0.3414764701961439 y2[1] (numeric) = -0.3414764701958494 absolute error = 2.944311461305915e-13 relative error = 8.622296756244155e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9398903235497119 y1[1] (numeric) = -0.9398903235497549 absolute error = 4.296563105299356e-14 relative error = 4.57134518533226e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.500064000000855 y2[1] (analytic) = -0.3508431601999625 y2[1] (numeric) = -0.3508431601996682 absolute error = 2.942646126768977e-13 relative error = 8.387354979620583e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9364342352460762 y1[1] (numeric) = -0.9364342352461249 absolute error = 4.873879078104437e-14 relative error = 5.204721158900902e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.510048000000865 y2[1] (analytic) = -0.3601748783582582 y2[1] (numeric) = -0.360174878357964 absolute error = 2.941535903744352e-13 relative error = 8.166965772716857e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9328848037135207 y1[1] (numeric) = -0.9328848037135756 absolute error = 5.495603971894525e-14 relative error = 5.890978125078526e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.520032000000875 y2[1] (analytic) = -0.3694706944907026 y2[1] (numeric) = -0.369470694490409 absolute error = 2.936539900133539e-13 relative error = 7.947964328216657e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9292423827573503 y1[1] (numeric) = -0.9292423827574118 absolute error = 6.150635556423367e-14 relative error = 6.618978719171767e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.530016000000885 y2[1] (analytic) = -0.3787296819956611 y2[1] (numeric) = -0.3787296819953684 absolute error = 2.927658115936538e-13 relative error = 7.730205091160714e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9255073354520025 y1[1] (numeric) = -0.9255073354520706 absolute error = 6.816769371198461e-14 relative error = 7.365440672460218e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.540000000000895 y2[1] (analytic) = -0.3879509179425555 y2[1] (numeric) = -0.3879509179422634 absolute error = 2.920441666276474e-13 relative error = 7.527863786905406e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.921680034104856 y1[1] (numeric) = -0.9216800341049308 absolute error = 7.482903185973555e-14 relative error = 8.118764548524715e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.550112000000905 y2[1] (analytic) = -0.3972509533003309 y2[1] (numeric) = -0.3972509533000405 absolute error = 2.90434343241941e-13 relative error = 7.311105003752273e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9177100196151169 y1[1] (numeric) = -0.9177100196151985 absolute error = 8.160139230994901e-14 relative error = 8.89184933865844e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.560096000000915 y2[1] (analytic) = -0.4063934190443633 y2[1] (numeric) = -0.4063934190440744 absolute error = 2.88935542158697e-13 relative error = 7.109749533792421e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9136981935833257 y1[1] (numeric) = -0.9136981935834143 absolute error = 8.859579736508749e-14 relative error = 9.696396248484856e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.570080000000925 y2[1] (analytic) = -0.4154953757248465 y2[1] (numeric) = -0.4154953757245591 absolute error = 2.873257187729905e-13 relative error = 6.915256716678027e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9095952906382424 y1[1] (numeric) = -0.9095952906383378 absolute error = 9.536815781530095e-14 relative error = 1.048468025250914e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.580064000000935 y2[1] (analytic) = -0.4245559160639447 y2[1] (numeric) = -0.4245559160636595 absolute error = 2.852162950262027e-13 relative error = 6.71799129948397e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9054017197548858 y1[1] (numeric) = -0.905401719754988 absolute error = 1.021405182655144e-13 relative error = 1.128123749236597e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.590048000000945 y2[1] (analytic) = -0.4335741369121799 y2[1] (numeric) = -0.4335741369118967 absolute error = 2.832178935818774e-13 relative error = 6.532167614952618e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.9011178989460027 y1[1] (numeric) = -0.9011178989461118 absolute error = 1.091349233206529e-13 relative error = 1.211105932401333e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.600032000000955 y2[1] (analytic) = -0.4425491393384564 y2[1] (numeric) = -0.4425491393381753 absolute error = 2.811084698350896e-13 relative error = 6.352028392944205e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8967442552204009 y1[1] (numeric) = -0.8967442552205174 absolute error = 1.164623952831789e-13 relative error = 1.298724743483915e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.610016000000965 y2[1] (analytic) = -0.4514800287196661 y2[1] (numeric) = -0.4514800287193873 absolute error = 2.787770014833768e-13 relative error = 6.174736062499801e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8922812245403853 y1[1] (numeric) = -0.8922812245405093 absolute error = 1.2401191185063e-13 relative error = 1.389829892638485e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.620000000000975 y2[1] (analytic) = -0.460365914829864 y2[1] (numeric) = -0.4603659148295878 absolute error = 2.761679773755077e-13 relative error = 5.998879771052778e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8877292517783012 y1[1] (numeric) = -0.8877292517784319 absolute error = 1.306732499983809e-13 relative error = 1.471994414249795e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.630112000000985 y2[1] (analytic) = -0.4693189434501682 y2[1] (numeric) = -0.4693189434498948 absolute error = 2.733369086627135e-13 relative error = 5.824118384254741e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8830287250813633 y1[1] (numeric) = -0.883028725081501 absolute error = 1.376676550535194e-13 relative error = 1.559039373728579e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.640096000000995 y2[1] (analytic) = -0.4781115650540444 y2[1] (numeric) = -0.4781115650537744 absolute error = 2.699507284376068e-13 relative error = 5.646186960716843e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8782991126954258 y1[1] (numeric) = -0.8782991126955706 absolute error = 1.447730824111204e-13 relative error = 1.648334608546103e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.650080000001005 y2[1] (analytic) = -0.4868565287706006 y2[1] (numeric) = -0.4868565287703341 absolute error = 2.664535259100376e-13 relative error = 5.472937306250779e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8734819519563306 y1[1] (numeric) = -0.8734819519564829 absolute error = 1.523225989785715e-13 relative error = 1.74385513790429e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.660064000001015 y2[1] (analytic) = -0.4955529629068556 y2[1] (numeric) = -0.4955529629065928 absolute error = 2.627897899287746e-13 relative error = 5.302960724667661e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8685777230359046 y1[1] (numeric) = -0.8685777230360646 absolute error = 1.599831378484851e-13 relative error = 1.841897778465955e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.670048000001025 y2[1] (analytic) = -0.5042000006072292 y2[1] (numeric) = -0.5042000006069702 absolute error = 2.59015031645049e-13 relative error = 5.137148578601871e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8635869147848814 y1[1] (numeric) = -0.8635869147850487 absolute error = 1.673106098110111e-13 relative error = 1.937391673572173e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.680032000001035 y2[1] (analytic) = -0.5127967799399498 y2[1] (numeric) = -0.5127967799396952 absolute error = 2.545741395465484e-13 relative error = 4.964425470385361e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8585100246841727 y1[1] (numeric) = -0.8585100246843481 absolute error = 1.754152378907747e-13 relative error = 2.043252062843485e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.690016000001045 y2[1] (analytic) = -0.5213424439829706 y2[1] (numeric) = -0.5213424439827204 absolute error = 2.501332474480478e-13 relative error = 4.797868470809145e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8533475587952796 y1[1] (numeric) = -0.8533475587954625 absolute error = 1.829647544582258e-13 relative error = 2.144082473459323e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.700000000001055 y2[1] (analytic) = -0.5298361409093882 y2[1] (numeric) = -0.5298361409091427 absolute error = 2.455813330470846e-13 relative error = 4.635043064929079e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.848100031709849 y1[1] (numeric) = -0.8481000317100394 absolute error = 1.904032487232143e-13 relative error = 2.245056498103692e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.710112000001065 y2[1] (analytic) = -0.5383848939622035 y2[1] (numeric) = -0.5383848939619631 absolute error = 2.403632848313464e-13 relative error = 4.464525054973417e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8426990601355308 y1[1] (numeric) = -0.8426990601357288 absolute error = 1.980637875931279e-13 relative error = 2.350350166063713e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.720096000001075 y2[1] (analytic) = -0.5467714286534051 y2[1] (numeric) = -0.54677142865317 absolute error = 2.351452366156082e-13 relative error = 4.300613095214695e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8372819147744172 y1[1] (numeric) = -0.8372819147746233 absolute error = 2.061684156728916e-13 relative error = 2.462353623491773e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.730080000001085 y2[1] (analytic) = -0.5551034614813573 y2[1] (numeric) = -0.5551034614811277 absolute error = 2.295941214924824e-13 relative error = 4.136059985642751e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8317813096309722 y1[1] (numeric) = -0.8317813096311866 absolute error = 2.143840660551177e-13 relative error = 2.577409032552454e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.740064000001095 y2[1] (analytic) = -0.5633801619137936 y2[1] (numeric) = -0.5633801619135697 absolute error = 2.239319840668941e-13 relative error = 3.974793562240471e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8261977930023704 y1[1] (numeric) = -0.8261977930025924 absolute error = 2.220446049250313e-13 relative error = 2.687547785841087e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.750048000001105 y2[1] (analytic) = -0.5716007049339493 y2[1] (numeric) = -0.5716007049337313 absolute error = 2.180478020363807e-13 relative error = 3.814687423479945e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8205319214503554 y1[1] (numeric) = -0.8205319214505851 absolute error = 2.297051437949449e-13 relative error = 2.799466270476385e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.760032000001115 y2[1] (analytic) = -0.5797642711227985 y2[1] (numeric) = -0.5797642711225864 absolute error = 2.120525977034049e-13 relative error = 3.657565811924456e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8147842597457625 y1[1] (numeric) = -0.814784259746 absolute error = 2.37476704967321e-13 relative error = 2.914596129304473e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.770016000001125 y2[1] (analytic) = -0.587870046740733 y2[1] (numeric) = -0.5878700467405272 absolute error = 2.057243264630415e-13 relative error = 3.499486452892397e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8089553808122228 y1[1] (numeric) = -0.8089553808124681 absolute error = 2.452482661396971e-13 relative error = 3.031666170431529e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.780000000001135 y2[1] (analytic) = -0.5959172238086757 y2[1] (numeric) = -0.5959172238084763 absolute error = 1.993960552226781e-13 relative error = 3.346036114685215e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.8030458656690542 y1[1] (numeric) = -0.8030458656693075 absolute error = 2.532418719169982e-13 relative error = 3.153516912835493e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.790112000001145 y2[1] (analytic) = -0.6040070184479834 y2[1] (numeric) = -0.6040070184477905 absolute error = 1.929567616798522e-13 relative error = 3.194611250969586e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7969789970040474 y1[1] (numeric) = -0.7969789970043086 absolute error = 2.612354776942993e-13 relative error = 3.277821356350909e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.800096000001155 y2[1] (analytic) = -0.611933821024419 y2[1] (numeric) = -0.6119338210242332 absolute error = 1.857403120197887e-13 relative error = 3.035300642622543e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7909089699114902 y1[1] (numeric) = -0.7909089699117596 absolute error = 2.694511280765255e-13 relative error = 3.406853864695446e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.810080000001165 y2[1] (analytic) = -0.6197996263876069 y2[1] (numeric) = -0.6197996263874288 absolute error = 1.780797731498751e-13 relative error = 2.873182970241233e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7847601054652198 y1[1] (numeric) = -0.7847601054654965 absolute error = 2.76667577736589e-13 relative error = 3.525505129654565e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.820064000001175 y2[1] (analytic) = -0.627603650478568 y2[1] (numeric) = -0.6276036504783976 absolute error = 1.704192342799615e-13 relative error = 2.715395841786633e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7785330165805272 y1[1] (numeric) = -0.778533016580812 absolute error = 2.847722058163527e-13 relative error = 3.657805125171559e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.830048000001185 y2[1] (analytic) = -0.635345115396645 y2[1] (numeric) = -0.6353451153964824 absolute error = 1.625366508051229e-13 relative error = 2.558241920277478e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7722283239700704 y1[1] (numeric) = -0.772228323970363 absolute error = 2.926547892911913e-13 relative error = 3.789744304982704e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.840032000001195 y2[1] (analytic) = -0.6430232494770427 y2[1] (numeric) = -0.6430232494768888 absolute error = 1.538769112130467e-13 relative error = 2.393022512610416e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7658466560820024 y1[1] (numeric) = -0.7658466560823028 absolute error = 3.004263504635674e-13 relative error = 3.922800316195406e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.850016000001205 y2[1] (analytic) = -0.6506372873677483 y2[1] (numeric) = -0.6506372873676033 absolute error = 1.449951270160454e-13 relative error = 2.228509337401261e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7593886490373279 y1[1] (numeric) = -0.7593886490376361 absolute error = 3.081979116359435e-13 relative error = 4.058500374302986e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.860000000001215 y2[1] (analytic) = -0.65818647010582 y2[1] (numeric) = -0.6581864701056841 absolute error = 1.358912982141192e-13 relative error = 2.064632203580108e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7528549465664953 y1[1] (numeric) = -0.7528549465668113 absolute error = 3.159694728083196e-13 relative error = 4.196950212645137e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.870112000001225 y2[1] (analytic) = -0.6657655592532039 y2[1] (numeric) = -0.6657655592530772 absolute error = 1.266764471097304e-13 relative error = 1.902718537315517e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7461609880664284 y1[1] (numeric) = -0.7461609880667526 absolute error = 3.241851231905457e-13 relative error = 4.344707487731649e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.880096000001235 y2[1] (analytic) = -0.673181925229432 y2[1] (numeric) = -0.6731819252293147 absolute error = 1.172395514004165e-13 relative error = 1.741573072694417e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7394769067012137 y1[1] (numeric) = -0.7394769067015454 absolute error = 3.317346397579968e-13 relative error = 4.486071664331695e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.890080000001245 y2[1] (analytic) = -0.6805311888164199 y2[1] (numeric) = -0.6805311888163127 absolute error = 1.072475441787901e-13 relative error = 1.575938707016721e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.732719114700927 y1[1] (numeric) = -0.7327191147012667 absolute error = 3.397282455352979e-13 relative error = 4.636541325579644e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.900064000001255 y2[1] (analytic) = -0.6878126174437771 y2[1] (numeric) = -0.6878126174436798 absolute error = 9.725553695716371e-14 relative error = 1.413983030997734e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7258882856784096 y1[1] (numeric) = -0.725888285678757 absolute error = 3.473887844052115e-13 relative error = 4.785705889723025e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.910048000001265 y2[1] (analytic) = -0.6950254853028631 y2[1] (numeric) = -0.6950254853027762 absolute error = 8.693046282814976e-14 relative error = 1.250752161847261e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7189851005267909 y1[1] (numeric) = -0.7189851005271464 absolute error = 3.554934124849751e-13 relative error = 4.944378015963193e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.920032000001275 y2[1] (analytic) = -0.7021690734191356 y2[1] (numeric) = -0.702169073419059 absolute error = 7.66053886991358e-14 relative error = 1.090982095325193e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.7120102473516183 y1[1] (numeric) = -0.712010247351982 absolute error = 3.637090628672013e-13 relative error = 5.108199835887862e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.930016000001285 y2[1] (analytic) = -0.7092426697238172 y2[1] (numeric) = -0.7092426697237521 absolute error = 6.517009154549669e-14 relative error = 9.188687360120939e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.7049644214022666 y1[1] (numeric) = -0.7049644214026385 absolute error = 3.719247132494274e-13 relative error = 5.275794096241346e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.940000000001295 y2[1] (analytic) = -0.7162455691248745 y2[1] (numeric) = -0.7162455691248206 absolute error = 5.384581669432009e-14 relative error = 7.517787057323115e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.6978483250026359 y1[1] (numeric) = -0.6978483250030156 absolute error = 3.796962744218035e-13 relative error = 5.440957022005739e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.950112000001305 y2[1] (analytic) = -0.7232654724742307 y2[1] (numeric) = -0.7232654724741883 absolute error = 4.241051954068098e-14 relative error = 5.863755585566409e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.6905700951580714 y1[1] (numeric) = -0.6905700951584587 absolute error = 3.872457909892546e-13 relative error = 5.607624681468636e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.960096000001315 y2[1] (analytic) = -0.7301239624171327 y2[1] (numeric) = -0.7301239624171022 absolute error = 3.05311331771918e-14 relative error = 4.181636920409527e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.6833147148308056 y1[1] (numeric) = -0.6833147148312005 absolute error = 3.949063298591682e-13 relative error = 5.779274487846354e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.970080000001325 y2[1] (analytic) = -0.7369096740210992 y2[1] (numeric) = -0.7369096740210807 absolute error = 1.854072451124011e-14 relative error = 2.516010464358384e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.6759912220836283 y1[1] (numeric) = -0.6759912220840308 absolute error = 4.025668687290818e-13 relative error = 5.955208523096463e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.980064000001335 y2[1] (analytic) = -0.7436219308902788 y2[1] (numeric) = -0.7436219308902731 absolute error = 5.773159728050814e-15 relative error = 7.763568405169376e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 y1[1] (analytic) = -0.6686003469181073 y1[1] (numeric) = -0.6686003469185171 absolute error = 4.097833183891453e-13 relative error = 6.128972566018383e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 3.990048000001345 y2[1] (analytic) = -0.7502600639507463 y2[1] (numeric) = -0.7502600639507531 absolute error = 6.772360450213455e-15 relative error = 9.026683913510359e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 0.000128 y1[1] (analytic) = -0.6611428260524514 y1[1] (numeric) = -0.6611428260528693 absolute error = 4.178879464689089e-13 relative error = 6.320690930945018e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.000032000001355 y2[1] (analytic) = -0.7568234115171953 y2[1] (numeric) = -0.756823411517215 absolute error = 1.965094753586527e-14 relative error = 2.596503654197382e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.6536194028480748 y1[1] (numeric) = -0.6536194028485004 absolute error = 4.255484853388225e-13 relative error = 6.510646463133464e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.010016000001365 y2[1] (analytic) = -0.7633113193588947 y2[1] (numeric) = -0.7633113193589275 absolute error = 3.275157922644212e-14 relative error = 4.29072363998875e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.6460308272354991 y1[1] (numeric) = -0.6460308272359315 absolute error = 4.324318680914985e-13 relative error = 6.693672342881296e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.020000000001375 y2[1] (analytic) = -0.7697231407649021 y2[1] (numeric) = -0.769723140764949 absolute error = 4.685141163918161e-14 relative error = 6.086787463947575e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.6383778556396006 y1[1] (numeric) = -0.6383778556400402 absolute error = 4.39648317751562e-13 relative error = 6.886960659233262e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.030112000001385 y2[1] (analytic) = -0.7761389548909535 y2[1] (numeric) = -0.7761389548910146 absolute error = 6.106226635438361e-14 relative error = 7.867439969298124e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.6305619102838186 y1[1] (numeric) = -0.6305619102842656 absolute error = 4.46975789714088e-13 relative error = 7.088531394370179e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.040096000001395 y2[1] (analytic) = -0.7823956978702137 y2[1] (numeric) = -0.7823956978702894 absolute error = 7.571721027943568e-14 relative error = 9.677610764674206e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 y1[1] (analytic) = -0.6227816406688473 y1[1] (numeric) = -0.6227816406693018 absolute error = 4.544142839790766e-13 relative error = 7.296526652440338e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.050080000001405 y2[1] (analytic) = -0.7885744520938481 y2[1] (numeric) = -0.7885744520939387 absolute error = 9.059419880941277e-14 relative error = 1.148835072818605e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.6149392925361716 y1[1] (numeric) = -0.6149392925366334 absolute error = 4.617417559416026e-13 relative error = 7.508737228958942e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.060064000001415 y2[1] (analytic) = -0.7946746016671702 y2[1] (numeric) = -0.794674601667276 absolute error = 1.058042542467774e-13 relative error = 1.33141607929595e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.6070356476065671 y1[1] (numeric) = -0.6070356476070357 absolute error = 4.685141163918161e-13 relative error = 7.718065952783553e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.070048000001425 y2[1] (analytic) = -0.8006955385307598 y2[1] (numeric) = -0.8006955385308812 absolute error = 1.213473765915296e-13 relative error = 1.515524575223643e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5990714937108396 y1[1] (numeric) = -0.5990714937113151 absolute error = 4.755085214469545e-13 relative error = 7.937425272925329e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.080032000001435 y2[1] (analytic) = -0.8066366625210744 y2[1] (numeric) = -0.8066366625212116 absolute error = 1.372235658436693e-13 relative error = 1.701181860675521e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5910476247112938 y1[1] (numeric) = -0.5910476247117762 absolute error = 4.823919041996305e-13 relative error = 8.161641871672561e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.090016000001445 y2[1] (analytic) = -0.8124973814302729 y2[1] (numeric) = -0.8124973814304265 absolute error = 1.535438443056591e-13 relative error = 1.889776481929942e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5829648404226018 y1[1] (numeric) = -0.5829648404230912 absolute error = 4.89386309254769e-13 relative error = 8.394782589289674e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.100000000001455 y2[1] (analytic) = -0.818277111065247 y2[1] (numeric) = -0.8182771110654172 absolute error = 1.701971896750365e-13 relative error = 2.079945624453199e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.574823946532078 y1[1] (numeric) = -0.5748239465325737 absolute error = 4.957145804951324e-13 relative error = 8.623763562492243e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.110112000001465 y2[1] (analytic) = -0.8240477966522278 y2[1] (numeric) = -0.8240477966524148 absolute error = 1.869615573468764e-13 relative error = 2.268819334344748e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5665202810426195 y1[1] (numeric) = -0.5665202810431219 absolute error = 5.023759186428833e-13 relative error = 8.867748171668533e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.120096000001475 y2[1] (analytic) = -0.8296627708645725 y2[1] (numeric) = -0.8296627708647767 absolute error = 2.041700142285663e-13 relative error = 2.460879545261569e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.55826488931449 y1[1] (numeric) = -0.5582648893149987 absolute error = 5.087041898832467e-13 relative error = 9.112236854227026e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.130080000001485 y2[1] (analytic) = -0.8351950447664928 y2[1] (numeric) = -0.8351950447667142 absolute error = 2.214894934127187e-13 relative error = 2.651949323701312e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5499538500615268 y1[1] (numeric) = -0.5499538500620418 absolute error = 5.150324611236101e-13 relative error = 9.365012374510883e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.140064000001495 y2[1] (analytic) = -0.8406440669040903 y2[1] (numeric) = -0.8406440669043297 absolute error = 2.393640841091838e-13 relative error = 2.847389204692894e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5415879917233684 y1[1] (numeric) = -0.5415879917238889 absolute error = 5.205835762467359e-13 relative error = 9.612169845018258e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.150048000001505 y2[1] (analytic) = -0.8460092941219557 y2[1] (numeric) = -0.8460092941222135 absolute error = 2.577937863179613e-13 relative error = 3.047174399963499e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5331681482039885 y1[1] (numeric) = -0.5331681482045152 absolute error = 5.266898028821743e-13 relative error = 9.878493391932039e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.160032000001515 y2[1] (analytic) = -0.8512901916173086 y2[1] (numeric) = -0.8512901916175846 absolute error = 2.760014439218139e-13 relative error = 3.242154633515247e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5246951587885732 y1[1] (numeric) = -0.5246951587891056 absolute error = 5.323519403077626e-13 relative error = 1.014592819070158e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.170016000001525 y2[1] (analytic) = -0.8564862329933074 y2[1] (numeric) = -0.8564862329936019 absolute error = 2.94542168433054e-13 relative error = 3.438959753079365e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5161698680598606 y1[1] (numeric) = -0.5161698680603988 absolute error = 5.381251000358134e-13 relative error = 1.042534896619356e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.180000000001535 y2[1] (analytic) = -0.86159690031152 y2[1] (numeric) = -0.861596900311834 absolute error = 3.139710713639943e-13 relative error = 3.644059899130029e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.5075931258139541 y1[1] (numeric) = -0.5075931258144981 absolute error = 5.440092820663267e-13 relative error = 1.071742808167422e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.190112000001545 y2[1] (analytic) = -0.8666855446647451 y2[1] (numeric) = -0.8666855446650784 absolute error = 3.33288951992472e-13 relative error = 3.845557988640461e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4988548553128194 y1[1] (numeric) = -0.4988548553133687 absolute error = 5.492828414332962e-13 relative error = 1.101087491849417e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.200096000001555 y2[1] (analytic) = -0.8716228334369058 y2[1] (numeric) = -0.871622833437259 absolute error = 3.531619441332623e-13 relative error = 4.05177481113827e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4901771478061988 y1[1] (numeric) = -0.4901771478067531 absolute error = 5.543343561953407e-13 relative error = 1.130885759722336e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.210080000001565 y2[1] (analytic) = -0.8764732393436062 y2[1] (numeric) = -0.8764732393439794 absolute error = 3.731459585765151e-13 relative error = 4.257357119721823e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4814505797218709 y1[1] (numeric) = -0.4814505797224303 absolute error = 5.594413821086164e-13 relative error = 1.1619912939596e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.220064000001575 y2[1] (analytic) = -0.8812362788991602 y2[1] (numeric) = -0.8812362788995541 absolute error = 3.939071291370055e-13 relative error = 4.469937729176039e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4726760209191508 y1[1] (numeric) = -0.4726760209197153 absolute error = 5.644373857194296e-13 relative error = 1.194131626609369e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.230048000001585 y2[1] (analytic) = -0.8859114773265093 y2[1] (numeric) = -0.8859114773269242 absolute error = 4.14890344302421e-13 relative error = 4.683203174593369e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4638543460410409 y1[1] (numeric) = -0.4638543460416101 absolute error = 5.692113447253178e-13 relative error = 1.227133796596907e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.240032000001595 y2[1] (analytic) = -0.8904983686045487 y2[1] (numeric) = -0.8904983686049844 absolute error = 4.357625371653739e-13 relative error = 4.893468113234543e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4549864344270468 y1[1] (numeric) = -0.4549864344276207 absolute error = 5.738742814287434e-13 relative error = 1.261299761939956e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.250016000001605 y2[1] (analytic) = -0.8949964955145794 y2[1] (numeric) = -0.8949964955150367 absolute error = 4.57300863843102e-13 relative error = 5.109526865579247e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4460731700255257 y1[1] (numeric) = -0.4460731700261041 absolute error = 5.784261958297066e-13 relative error = 1.296706985978572e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.260000000001615 y2[1] (analytic) = -0.8994054096858839 y2[1] (numeric) = -0.8994054096863634 absolute error = 4.795053243356051e-13 relative error = 5.331359130951544e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4371154413055748 y1[1] (numeric) = -0.4371154413061574 absolute error = 5.826450433232822e-13 relative error = 1.332931734424755e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.270112000001625 y2[1] (analytic) = -0.9037794628470271 y2[1] (numeric) = -0.9037794628475292 absolute error = 5.020428517354958e-13 relative error = 5.554926532120935e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4279984609037036 y1[1] (numeric) = -0.4279984609042906 absolute error = 5.870304242705515e-13 relative error = 1.371571344044223e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.280096000001635 y2[1] (analytic) = -0.9080074843798793 y2[1] (numeric) = -0.9080074843804041 absolute error = 5.248024237403115e-13 relative error = 5.779714735487269e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.418953945333044 y1[1] (numeric) = -0.4189539453336351 absolute error = 5.910827383104333e-13 relative error = 1.410853734389724e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.290080000001645 y2[1] (analytic) = -0.9121449962460777 y2[1] (numeric) = -0.9121449962466257 absolute error = 5.480060849549773e-13 relative error = 6.007883474779668e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4098676686727595 y1[1] (numeric) = -0.4098676686733542 absolute error = 5.947464742916964e-13 relative error = 1.451069503036467e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.300064000001655 y2[1] (analytic) = -0.9161915860208062 y2[1] (numeric) = -0.916191586021378 absolute error = 5.717648576819556e-13 relative error = 6.240669161405846e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.4007405366377099 y1[1] (numeric) = -0.400740536638308 absolute error = 5.980771433655718e-13 relative error = 1.492429860935841e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.310048000001665 y2[1] (analytic) = -0.9201468503423107 y2[1] (numeric) = -0.920146850342906 absolute error = 5.953015858040089e-13 relative error = 6.469636727904316e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.3915734590151959 y1[1] (numeric) = -0.3915734590157972 absolute error = 6.012967901369848e-13 relative error = 1.535591282537998e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.320032000001675 y2[1] (analytic) = -0.9240103949521061 y2[1] (numeric) = -0.924010394952726 absolute error = 6.198375146482249e-13 relative error = 6.708122744445453e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.3823673495742711 y1[1] (numeric) = -0.3823673495748757 absolute error = 6.04571948059629e-13 relative error = 1.581128589385995e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.330016000001685 y2[1] (analytic) = -0.9277818347342758 y2[1] (numeric) = -0.9277818347349204 absolute error = 6.445954880973659e-13 relative error = 6.947705419151511e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.3731231259746586 y1[1] (numeric) = -0.3731231259752661 absolute error = 6.075140390748857e-13 relative error = 1.628186506767598e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.340000000001695 y2[1] (analytic) = -0.9314607937538595 y2[1] (numeric) = -0.9314607937545288 absolute error = 6.693534615465069e-13 relative error = 7.186061571619781e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.3638417096752791 y1[1] (numeric) = -0.3638417096758895 absolute error = 6.104006189389111e-13 relative error = 1.677654327986971e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.350112000001706 y2[1] (analytic) = -0.9350922767096063 y2[1] (numeric) = -0.9350922767103016 absolute error = 6.953326803227355e-13 relative error = 7.435979289332444e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.3544043369345884 y1[1] (numeric) = -0.3544043369352012 absolute error = 6.127875984418552e-13 relative error = 1.729063486474648e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.360096000001715 y2[1] (analytic) = -0.938583986093908 y2[1] (numeric) = -0.938583986094629 absolute error = 7.209788321915767e-13 relative error = 7.681559059962916e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.3450508673341811 y1[1] (numeric) = -0.3450508673347961 absolute error = 6.149525333398742e-13 relative error = 1.782208339572999e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.370080000001725 y2[1] (analytic) = -0.9419821379633553 y2[1] (numeric) = -0.9419821379641021 absolute error = 7.468470286653428e-13 relative error = 7.928462744315821e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.3356630032606905 y1[1] (numeric) = -0.3356630032613074 absolute error = 6.169509347841995e-13 relative error = 1.838006955759281e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.380064000001735 y2[1] (analytic) = -0.9452863935921134 y2[1] (numeric) = -0.9452863935928871 absolute error = 7.737144258612716e-13 relative error = 8.184973687404261e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.3262416804910373 y1[1] (numeric) = -0.3262416804916562 absolute error = 6.188938250772935e-13 relative error = 1.897040942609711e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.390048000001745 y2[1] (analytic) = -0.9484964236138713 y2[1] (numeric) = -0.948496423614672 absolute error = 8.006928453596629e-13 relative error = 8.441706530731437e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.3167878381372863 y1[1] (numeric) = -0.3167878381379069 absolute error = 6.206146707654625e-13 relative error = 1.95908616446477e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.400032000001755 y2[1] (analytic) = -0.9516119080546728 y2[1] (numeric) = -0.9516119080555002 absolute error = 8.274492202531292e-13 relative error = 8.695238187431235e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.3073024185530355 y1[1] (numeric) = -0.3073024185536576 absolute error = 6.221134718487065e-13 relative error = 2.024434024235769e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.410016000001765 y2[1] (analytic) = -0.9546325363648107 y2[1] (numeric) = -0.9546325363656656 absolute error = 8.548717289613705e-13 relative error = 8.954982115073053e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.2977863672394833 y1[1] (numeric) = -0.2977863672401063 absolute error = 6.230016502684066e-13 relative error = 2.092109373722207e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.420000000001775 y2[1] (analytic) = -0.9575580074497829 y2[1] (numeric) = -0.9575580074506657 absolute error = 8.82738326879462e-13 relative error = 9.218640750866002e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.2882406327511815 y1[1] (numeric) = -0.2882406327518053 absolute error = 6.237788063856442e-13 relative error = 2.164090469937699e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.430112000001786 y2[1] (analytic) = -0.9604236911020341 y2[1] (numeric) = -0.9604236911029455 absolute error = 9.11382080914791e-13 relative error = 9.489375255508634e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.2785432346511841 y1[1] (numeric) = -0.2785432346518086 absolute error = 6.245004513516506e-13 relative error = 2.242023404853842e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.440096000001795 y2[1] (analytic) = -0.9631567533135518 y2[1] (numeric) = -0.9631567533144919 absolute error = 9.401368572525826e-13 relative error = 9.760995331426855e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 y1[1] (analytic) = -0.2689406413067725 y1[1] (numeric) = -0.2689406413073973 absolute error = 6.247224959565756e-13 relative error = 2.322901042107553e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.450080000001805 y2[1] (analytic) = -0.9657938086108342 y2[1] (numeric) = -0.9657938086118036 absolute error = 9.694467451026867e-13 relative error = 1.003782315085563e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.2593112401130721 y1[1] (numeric) = -0.2593112401136969 absolute error = 6.248335182590381e-13 relative error = 2.409589025090393e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.460064000001815 y2[1] (analytic) = -0.9683345941337179 y2[1] (numeric) = -0.9683345941347171 absolute error = 9.992007221626409e-13 relative error = 1.031875477976222e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.2496559909232858 y1[1] (numeric) = -0.2496559909239105 absolute error = 6.246392292297287e-13 relative error = 2.501999759427634e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.470048000001825 y2[1] (analytic) = -0.9707788566181553 y2[1] (numeric) = -0.9707788566191844 absolute error = 1.029065721525058e-12 relative error = 1.060041341557389e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.23997585616713 y1[1] (numeric) = -0.2399758561677542 absolute error = 6.24167384444263e-13 relative error = 2.600959089857626e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.480032000001835 y2[1] (analytic) = -0.9731263524214601 y2[1] (numeric) = -0.9731263524225192 absolute error = 1.059152765492399e-12 relative error = 1.088402099950204e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.2302718007549 y1[1] (numeric) = -0.2302718007555234 absolute error = 6.234457394782567e-13 relative error = 2.707434160129094e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.490016000001845 y2[1] (analytic) = -0.9753768475465933 y2[1] (numeric) = -0.9753768475476829 absolute error = 1.089683898669591e-12 relative error = 1.117192704963747e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.2205447919812884 y1[1] (numeric) = -0.2205447919819109 absolute error = 6.224742943317096e-13 relative error = 2.822439327356784e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.500000000001855 y2[1] (analytic) = -0.9775301176654881 y2[1] (numeric) = -0.9775301176666092 absolute error = 1.121103210266483e-12 relative error = 1.146873318792338e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.210795799428966 y1[1] (numeric) = -0.2107957994295871 absolute error = 6.211697822777751e-13 relative error = 2.946784442386847e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.510112000001866 y2[1] (analytic) = -0.9796116714183163 y2[1] (numeric) = -0.9796116714194691 absolute error = 1.152855588770763e-12 relative error = 1.176849584796818e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.2009004062241106 y1[1] (numeric) = -0.2009004062247302 absolute error = 6.196432256189155e-13 relative error = 3.084330376752372e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.520096000001876 y2[1] (analytic) = -0.9815686041857584 y2[1] (numeric) = -0.9815686041869426 absolute error = 1.184163878065192e-12 relative error = 1.206399504849172e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.1911101129632386 y1[1] (numeric) = -0.1911101129638563 absolute error = 6.177280909014371e-13 relative error = 3.232315032016445e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.530080000001885 y2[1] (analytic) = -0.9834276947562023 y2[1] (numeric) = -0.9834276947574186 absolute error = 1.216360345779322e-12 relative error = 1.236857932988011e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.1813007699556233 y1[1] (numeric) = -0.1813007699562389 absolute error = 6.156464227302649e-13 relative error = 3.395718743395054e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.540064000001895 y2[1] (analytic) = -0.9851887578165631 y2[1] (numeric) = -0.9851887578178119 absolute error = 1.248778858098376e-12 relative error = 1.2675528909465e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.1714733549909647 y1[1] (numeric) = -0.1714733549915778 absolute error = 6.130929097736271e-13 relative error = 3.575441267863059e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.550048000001905 y2[1] (analytic) = -0.9868516178250825 y2[1] (numeric) = -0.9868516178263645 absolute error = 1.282085548837131e-12 relative error = 1.299167499631518e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.1616288476603649 y1[1] (numeric) = -0.1616288476609753 absolute error = 6.103173522120642e-13 relative error = 3.77604221676158e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.560032000001915 y2[1] (analytic) = -0.9884161090288258 y2[1] (numeric) = -0.9884161090301417 absolute error = 1.315836328785736e-12 relative error = 1.331257470174802e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.1517682292586837 y1[1] (numeric) = -0.151768229259291 absolute error = 6.072919944699606e-13 relative error = 4.00144349997556e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.570016000001925 y2[1] (analytic) = -0.9898820754802049 y2[1] (numeric) = -0.9898820754815544 absolute error = 1.349476086431878e-12 relative error = 1.36326954478616e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.141892482686723 y1[1] (numeric) = -0.1418924826873269 absolute error = 6.039058142448539e-13 relative error = 4.256080398411142e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.580000000001935 y2[1] (analytic) = -0.9912493710525224 y2[1] (numeric) = -0.9912493710539059 absolute error = 1.383448910985408e-12 relative error = 1.395661829794093e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.1320025923532518 y1[1] (numeric) = -0.1320025923538519 absolute error = 6.000755448098971e-13 relative error = 4.545937576771494e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.590112000001946 y2[1] (analytic) = -0.9925334800654306 y2[1] (numeric) = -0.9925334800668487 absolute error = 1.418087869353712e-12 relative error = 1.428755702286464e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.1219725007909789 y1[1] (numeric) = -0.1219725007915748 absolute error = 5.959260862553606e-13 relative error = 4.885741313745658e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.600096000001956 y2[1] (analytic) = -0.9937017656973247 y2[1] (numeric) = -0.9937017656987772 absolute error = 1.452504783117092e-12 relative error = 1.461710981360494e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.1120571320801102 y1[1] (numeric) = -0.1120571320807017 absolute error = 5.914990719446678e-13 relative error = 5.278549084424204e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.610080000001965 y2[1] (analytic) = -0.9947709997056211 y2[1] (numeric) = -0.9947709997071092 absolute error = 1.48814294220756e-12 relative error = 1.495965345439242e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.1021305935784135 y1[1] (numeric) = -0.1021305935790003 absolute error = 5.867806240900109e-13 relative error = 5.745395219303158e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.620064000001975 y2[1] (analytic) = -0.9957410755096858 y2[1] (numeric) = -0.9957410755112088 absolute error = 1.52300394518079e-12 relative error = 1.529518047049747e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.09219387475756866 y1[1] (numeric) = -0.09219387475815038 absolute error = 5.817291093279664e-13 relative error = 6.309845538629011e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.630048000001985 y2[1] (analytic) = -0.9966118964129173 y2[1] (numeric) = -0.996611896414476 absolute error = 1.55875312657372e-12 relative error = 1.564052297774194e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.08224796610402375 y1[1] (numeric) = -0.08224796610460007 absolute error = 5.763167720829188e-13 relative error = 7.007064118205885e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.640032000001995 y2[1] (analytic) = -0.9973833756123861 y2[1] (numeric) = -0.9973833756139809 absolute error = 1.594835374874037e-12 relative error = 1.599019408053418e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.07229385902026425 y1[1] (numeric) = -0.07229385902083485 absolute error = 5.705991235060992e-13 relative error = 7.892774451923476e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.650016000002005 y2[1] (analytic) = -0.998055436207487 y2[1] (numeric) = -0.9980554362091186 absolute error = 1.63158375698913e-12 relative error = 1.634762657261793e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.0623325457259904 y1[1] (numeric) = -0.06233254572655483 absolute error = 5.644235079316218e-13 relative error = 9.055037001260767e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.660000000002015 y2[1] (analytic) = -0.9986280112076044 y2[1] (numeric) = -0.9986280112092738 absolute error = 1.669442362128848e-12 relative error = 1.67173596513686e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.05236501915921343 y1[1] (numeric) = -0.05236501915977139 absolute error = 5.579633977070841e-13 relative error = 1.065526961826601e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.670112000002026 y2[1] (analytic) = -0.9991064615650673 y2[1] (numeric) = -0.9991064615667743 absolute error = 1.706967900361178e-12 relative error = 1.708494505868043e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.04226438759677858 y1[1] (numeric) = -0.04226438759732955 absolute error = 5.509759315458496e-13 relative error = 1.303641109868691e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.680096000002036 y2[1] (analytic) = -0.9994786270202667 y2[1] (numeric) = -0.9994786270220117 absolute error = 1.745048550105821e-12 relative error = 1.745958845871785e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.03228736795842362 y1[1] (numeric) = -0.03228736795896733 absolute error = 5.437039707345548e-13 relative error = 1.683952595438195e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.690080000002046 y2[1] (analytic) = -0.9997511650176363 y2[1] (numeric) = -0.9997511650194197 absolute error = 1.783462266757851e-12 relative error = 1.783906165016962e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.02230712993369926 y1[1] (numeric) = -0.02230712993423533 absolute error = 5.360642485463529e-13 relative error = 2.403107213431897e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.700064000002055 y2[1] (analytic) = -0.9999240483907444 y2[1] (numeric) = -0.9999240483925665 absolute error = 1.822098028014807e-12 relative error = 1.822236429804095e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.01232466834702301 y1[1] (numeric) = -0.01232466834755107 absolute error = 5.2805849970472e-13 relative error = 4.28456559508371e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.710048000002065 y2[1] (analytic) = -0.9999972599066754 y2[1] (numeric) = -0.9999972599085371 absolute error = 1.861621967691462e-12 relative error = 1.861627068723366e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = -0.002340978244455756 y1[1] (numeric) = -0.002340978244975411 absolute error = 5.196546318253503e-13 relative error = 2.219818287743902e-08 % Desired digits = 10 Estimated correct digits = 7 Correct digits = 10 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.720032000002075 y2[1] (analytic) = -0.9999707922677472 y2[1] (numeric) = -0.9999707922696487 absolute error = 1.901478974275506e-12 relative error = 1.901534513786454e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.007642945205483842 y1[1] (numeric) = 0.007642945204972985 absolute error = 5.108569817169339e-13 relative error = 6.684033026304992e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.730016000002085 y2[1] (analytic) = -0.9998446481122388 y2[1] (numeric) = -0.9998446481141797 absolute error = 1.940891891649699e-12 relative error = 1.941193459718176e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.0176261068110172 y1[1] (numeric) = 0.01762610681051554 absolute error = 5.01654273676877e-13 relative error = 2.846086654616878e-09 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 11 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.740000000002095 y2[1] (analytic) = -0.9996188400141276 y2[1] (numeric) = -0.9996188400161091 absolute error = 1.981526054350979e-12 relative error = 1.982281620785553e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.02760751145630594 y1[1] (numeric) = 0.02760751145581389 absolute error = 4.920404361730135e-13 relative error = 1.782270151193308e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.750112000002106 y2[1] (analytic) = -0.9992885712666195 y2[1] (numeric) = -0.9992885712686422 absolute error = 2.022715328564573e-12 relative error = 2.024155370856226e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.03771407344637115 y1[1] (numeric) = 0.03771407344588924 absolute error = 4.819131205202609e-13 relative error = 1.277807132675642e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.760096000002116 y2[1] (analytic) = -0.9988622359562648 y2[1] (numeric) = -0.9988622359583288 absolute error = 2.064015625080629e-12 relative error = 2.066366662770702e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.04768892513415623 y1[1] (numeric) = 0.04768892513368474 absolute error = 4.714909018765923e-13 relative error = 9.886800772930325e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.770080000002126 y2[1] (analytic) = -0.998336334629589 y2[1] (numeric) = -0.9983363346316944 absolute error = 2.105315921596684e-12 relative error = 2.108824299556137e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.05765902321716248 y1[1] (numeric) = 0.05765902321670181 absolute error = 4.606731662804009e-13 relative error = 7.989611002346626e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.780064000002135 y2[1] (analytic) = -0.9977109197081355 y2[1] (numeric) = -0.9977109197102825 absolute error = 2.146949285020128e-12 relative error = 2.151875099901867e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.06762337388171596 y1[1] (numeric) = 0.06762337388126657 absolute error = 4.493905247926477e-13 relative error = 6.645491033598875e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.790048000002145 y2[1] (analytic) = -0.996986053532906 y2[1] (numeric) = -0.9969860535350946 absolute error = 2.188582648443571e-12 relative error = 2.19519886029312e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.07758098388704217 y1[1] (numeric) = 0.0775809838866045 absolute error = 4.376637940950445e-13 relative error = 5.64137978363722e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.800032000002155 y2[1] (analytic) = -0.9961618083581462 y2[1] (numeric) = -0.996161808360377 absolute error = 2.23088214568179e-12 relative error = 2.239477690234566e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.08753086066427158 y1[1] (numeric) = 0.08753086066384602 absolute error = 4.255623631266303e-13 relative error = 4.861855120548776e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.810016000002165 y2[1] (analytic) = -0.9952382663441435 y2[1] (numeric) = -0.9952382663464173 absolute error = 2.273847776734783e-12 relative error = 2.284727038367825e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.09747201241537851 y1[1] (numeric) = 0.09747201241496545 absolute error = 4.130584763117895e-13 relative error = 4.237713637752079e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.820000000002175 y2[1] (analytic) = -0.9942155195490378 y2[1] (numeric) = -0.9942155195513547 absolute error = 2.316924430090239e-12 relative error = 2.330404609999614e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.1074034482120428 y1[1] (numeric) = 0.1074034482116428 absolute error = 4.000549891358673e-13 relative error = 3.724787199998021e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.830112000002186 y2[1] (analytic) = -0.993078644289466 y2[1] (numeric) = -0.9930786442918274 absolute error = 2.361333351075245e-12 relative error = 2.377790887613686e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.1174512931227082 y1[1] (numeric) = 0.1174512931223218 absolute error = 3.864547570842092e-13 relative error = 3.290340589783523e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.840096000002196 y2[1] (analytic) = -0.9918565353046294 y2[1] (numeric) = -0.9918565353070349 absolute error = 2.405520227455327e-12 relative error = 2.425270330770688e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.1273601718493526 y1[1] (numeric) = 0.12736017184898 absolute error = 3.725630914885869e-13 relative error = 2.925271582777632e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.850080000002206 y2[1] (analytic) = -0.9905355586277051 y2[1] (numeric) = -0.9905355586301554 absolute error = 2.45026221534772e-12 relative error = 2.473674159403556e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.1372563553869183 y1[1] (numeric) = 0.1372563553865601 absolute error = 3.581857033196911e-13 relative error = 2.609611061797355e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.860064000002216 y2[1] (analytic) = -0.9891158459328931 y2[1] (numeric) = -0.9891158459353878 absolute error = 2.494671136332727e-12 relative error = 2.522122304066271e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.1471388572894911 y1[1] (numeric) = 0.1471388572891477 absolute error = 3.433642259409453e-13 relative error = 2.333606718620813e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.870048000002225 y2[1] (analytic) = -0.9875975387363425 y2[1] (numeric) = -0.9875975387388819 absolute error = 2.539413124225121e-12 relative error = 2.571303617741259e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.1570066924749341 y1[1] (numeric) = 0.157006692474606 absolute error = 3.280431482011181e-13 relative error = 2.089357740298171e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.880032000002235 y2[1] (analytic) = -0.9859807883820461 y2[1] (numeric) = -0.9859807883846312 absolute error = 2.585154312839677e-12 relative error = 2.621911444219728e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.1668588773230805 y1[1] (numeric) = 0.1668588773227682 absolute error = 3.122779812514409e-13 relative error = 1.871509543042128e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.890016000002245 y2[1] (analytic) = -0.9842657560267545 y2[1] (numeric) = -0.9842657560293853 absolute error = 2.630784479151771e-12 relative error = 2.672839589351985e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.1766944297737804 y1[1] (numeric) = 0.1766944297734843 absolute error = 2.960132139406824e-13 relative error = 1.675283223809966e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.900000000002255 y2[1] (analytic) = -0.9824526126239118 y2[1] (numeric) = -0.9824526126265888 absolute error = 2.676969756976177e-12 relative error = 2.724782572287724e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.1865123694247913 y1[1] (numeric) = 0.1865123694245121 absolute error = 2.791933351176112e-13 relative error = 1.496915920261216e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.910112000002266 y2[1] (analytic) = -0.9805164029742311 y2[1] (numeric) = -0.9805164029769556 absolute error = 2.724487302430134e-12 relative error = 2.778624910471524e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.1964372253379567 y1[1] (numeric) = 0.1964372253376949 absolute error = 2.617628336309963e-13 relative error = 1.332552082125225e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.920096000002276 y2[1] (analytic) = -0.97850633764184 y2[1] (numeric) = -0.9785063376446118 absolute error = 2.771782803279166e-12 relative error = 2.832667195553427e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.2062167480947012 y1[1] (numeric) = 0.2062167480944571 absolute error = 2.441102875394563e-13 relative error = 1.183755877225613e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.930080000002286 y2[1] (analytic) = -0.9763987353574279 y2[1] (numeric) = -0.9763987353602479 absolute error = 2.819966482547898e-12 relative error = 2.888130003072566e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.2159757152839536 y1[1] (numeric) = 0.2159757152837278 absolute error = 2.258471187843725e-13 relative error = 1.045706080831544e-10 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 12 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.940064000002296 y2[1] (analytic) = -0.9741938062055852 y2[1] (numeric) = -0.9741938062084529 absolute error = 2.867706072606779e-12 relative error = 2.94367101734745e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.2257131541374468 y1[1] (numeric) = 0.2257131541372395 absolute error = 2.072508831219011e-13 relative error = 9.182047183466181e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.950048000002305 y2[1] (analytic) = -0.9718917699723882 y2[1] (numeric) = -0.9718917699753044 absolute error = 2.916111796480436e-12 relative error = 3.000449110257703e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.2354280940328456 y1[1] (numeric) = 0.2354280940326576 absolute error = 1.880162692202703e-13 relative error = 7.986144134269688e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.960032000002315 y2[1] (analytic) = -0.9694928561234921 y2[1] (numeric) = -0.9694928561264567 absolute error = 2.964628542656556e-12 relative error = 3.057916852023639e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.2451195665904985 y1[1] (numeric) = 0.2451195665903302 absolute error = 1.683098105331737e-13 relative error = 6.86643717897704e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.970016000002325 y2[1] (analytic) = -0.966997303781257 y2[1] (numeric) = -0.9669973037842704 absolute error = 3.0133673334376e-12 relative error = 3.116210688131607e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.2547866057699644 y1[1] (numeric) = 0.2547866057698164 absolute error = 1.479927291825334e-13 relative error = 5.808497222030167e-11 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.980000000002335 y2[1] (analytic) = -0.9644053617009131 y2[1] (numeric) = -0.9644053617039759 absolute error = 3.062883280335882e-12 relative error = 3.17592933632586e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.2644282479663077 y1[1] (numeric) = 0.2644282479661803 absolute error = 1.273425809245055e-13 relative error = 4.815770701651017e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 TOP MAIN SOLVE Loop x[1] = 4.990112000002346 y2[1] (analytic) = -0.9616822027953622 y2[1] (numeric) = -0.9616822027984758 absolute error = 3.113620472561252e-12 relative error = 3.237681287550876e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.000128 y1[1] (analytic) = 0.274166629673744 y1[1] (numeric) = 0.2741666296736381 absolute error = 1.058597653980087e-13 relative error = 3.861146979265161e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (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 NO POLE (given) for Equation 2 NO POLE (ratio test) for Equation 2 NO REAL POLE (three term test) for Equation 2 NO COMPLEX POLE (six term test) for Equation 2 Finished! diff ( y2 , x , 3 ) = m1 * cos ( x ) ; diff ( y1 , x , 1 ) = m1 * y2 ; Iterations = 38282 Total Elapsed Time = 1 Minutes 8.0 Seconds Elapsed Time(since restart) = 1 Minutes 8.0 Seconds Time to Timeout = 8 Minutes 52.0 Seconds Percent Done = 100 %