##############ECHO OF PROBLEM################# ##############temp/subpostode.ode################# diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(0.0); x_end=c(10.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=3; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=true; glob_h=c(0.001); glob_display_interval=c(0.01); /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(c(2.0) - cos(c(x)) - sin(c(x))); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = 0 y[1] (closed_form) = 1 y[1] (numeric) = 1 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5 Order of pole (three term test) = 32.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.01 y[1] (closed_form) = 0.9900501662491681 y[1] (numeric) = 0.9900501662491682 absolute error = 1.110223024625157e-16 relative error = 1.121380574916993e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4999 Order of pole (three term test) = 32.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.02000000000000001 y[1] (closed_form) = 0.9802013266400892 y[1] (numeric) = 0.9802013266400893 absolute error = 1.110223024625157e-16 relative error = 1.132647951447641e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4996 Order of pole (three term test) = 32.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.03000000000000002 y[1] (closed_form) = 0.9704544660485168 y[1] (numeric) = 0.9704544660485172 absolute error = 3.33066907387547e-16 relative error = 3.432071457651426e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4991 Order of pole (three term test) = 32.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.04000000000000003 y[1] (closed_form) = 0.9608105591523879 y[1] (numeric) = 0.9608105591523882 absolute error = 3.33066907387547e-16 relative error = 3.466520056579868e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4984 Order of pole (three term test) = 32.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.05000000000000004 y[1] (closed_form) = 0.9512705703343554 y[1] (numeric) = 0.9512705703343556 absolute error = 2.220446049250313e-16 relative error = 2.33418978626645e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4975 Order of pole (three term test) = 32.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.06000000000000005 y[1] (closed_form) = 0.941835453585351 y[1] (numeric) = 0.9418354535853514 absolute error = 3.33066907387547e-16 relative error = 3.536359839923607e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4964 Order of pole (three term test) = 32.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.07000000000000005 y[1] (closed_form) = 0.9325061524091875 y[1] (numeric) = 0.9325061524091878 absolute error = 2.220446049250313e-16 relative error = 2.381159677621057e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4951 Order of pole (three term test) = 32.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.08000000000000006 y[1] (closed_form) = 0.9232835997282079 y[1] (numeric) = 0.9232835997282079 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4936 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.09000000000000007 y[1] (closed_form) = 0.9141687177899948 y[1] (numeric) = 0.9141687177899948 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4919 Order of pole (three term test) = 32.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1000000000000001 y[1] (closed_form) = 0.9051624180751461 y[1] (numeric) = 0.905162418075146 absolute error = 1.110223024625157e-16 relative error = 1.226545648002132e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.49 Order of pole (three term test) = 32.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1100000000000001 y[1] (closed_form) = 0.8962656012061283 y[1] (numeric) = 0.8962656012061281 absolute error = 2.220446049250313e-16 relative error = 2.477442006322903e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4879 Order of pole (three term test) = 32.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1200000000000001 y[1] (closed_form) = 0.8874791568572145 y[1] (numeric) = 0.8874791568572141 absolute error = 3.33066907387547e-16 relative error = 3.752954701122448e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4857 Order of pole (three term test) = 32.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1300000000000001 y[1] (closed_form) = 0.8788039636655172 y[1] (numeric) = 0.8788039636655168 absolute error = 3.33066907387547e-16 relative error = 3.790002334517417e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4832 Order of pole (three term test) = 32.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1400000000000001 y[1] (closed_form) = 0.8702408891431264 y[1] (numeric) = 0.870240889143126 absolute error = 3.33066907387547e-16 relative error = 3.827295540152082e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4805 Order of pole (three term test) = 32.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1500000000000001 y[1] (closed_form) = 0.8617907895903583 y[1] (numeric) = 0.8617907895903583 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4777 Order of pole (three term test) = 32.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600000000000001 y[1] (closed_form) = 0.8534545100101271 y[1] (numeric) = 0.8534545100101268 absolute error = 2.220446049250313e-16 relative error = 2.601715760133443e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4746 Order of pole (three term test) = 32.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1700000000000001 y[1] (closed_form) = 0.8452328840234433 y[1] (numeric) = 0.8452328840234431 absolute error = 2.220446049250313e-16 relative error = 2.627022790074891e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4714 Order of pole (three term test) = 32.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800000000000001 y[1] (closed_form) = 0.8371267337860544 y[1] (numeric) = 0.8371267337860543 absolute error = 1.110223024625157e-16 relative error = 1.326230521397848e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4679 Order of pole (three term test) = 32.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (closed_form) = 0.8291368699062289 y[1] (numeric) = 0.8291368699062291 absolute error = 2.220446049250313e-16 relative error = 2.678021120326532e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4643 Order of pole (three term test) = 32.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (closed_form) = 0.821264091363697 y[1] (numeric) = 0.8212640913636972 absolute error = 1.110223024625157e-16 relative error = 1.351846545222314e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4605 Order of pole (three term test) = 32.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000002 y[1] (closed_form) = 0.8135091854297521 y[1] (numeric) = 0.8135091854297521 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4565 Order of pole (three term test) = 32.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000002 y[1] (closed_form) = 0.8058729275885251 y[1] (numeric) = 0.8058729275885254 absolute error = 2.220446049250313e-16 relative error = 2.755330242814736e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4524 Order of pole (three term test) = 32.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000002 y[1] (closed_form) = 0.7983560814594366 y[1] (numeric) = 0.7983560814594368 absolute error = 2.220446049250313e-16 relative error = 2.781272793953322e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.448 Order of pole (three term test) = 32.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000002 y[1] (closed_form) = 0.7909593987208358 y[1] (numeric) = 0.7909593987208358 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4435 Order of pole (three term test) = 32.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000002 y[1] (closed_form) = 0.7836836190348323 y[1] (numeric) = 0.7836836190348324 absolute error = 1.110223024625157e-16 relative error = 1.41667249086115e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4388 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000002 y[1] (closed_form) = 0.7765294699733314 y[1] (numeric) = 0.7765294699733317 absolute error = 3.33066907387547e-16 relative error = 4.289172790814823e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4339 Order of pole (three term test) = 32.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000002 y[1] (closed_form) = 0.7694976669452782 y[1] (numeric) = 0.7694976669452784 absolute error = 2.220446049250313e-16 relative error = 2.885578663370031e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4289 Order of pole (three term test) = 32.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000002 y[1] (closed_form) = 0.7625889131251153 y[1] (numeric) = 0.7625889131251153 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4236 Order of pole (three term test) = 32.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000002 y[1] (closed_form) = 0.7558038993824674 y[1] (numeric) = 0.7558038993824673 absolute error = 1.110223024625157e-16 relative error = 1.468930003579326e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4182 Order of pole (three term test) = 32.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (closed_form) = 0.7491433042130542 y[1] (numeric) = 0.7491433042130543 absolute error = 1.110223024625157e-16 relative error = 1.481990185831538e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4127 Order of pole (three term test) = 32.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (closed_form) = 0.7426077936708428 y[1] (numeric) = 0.7426077936708431 absolute error = 2.220446049250313e-16 relative error = 2.990065641883789e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4069 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (closed_form) = 0.7361980213014411 y[1] (numeric) = 0.7361980213014414 absolute error = 3.33066907387547e-16 relative error = 4.524148364304969e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.401 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (closed_form) = 0.7299146280767446 y[1] (numeric) = 0.7299146280767447 absolute error = 1.110223024625157e-16 relative error = 1.521031339720494e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.395 Order of pole (three term test) = 32.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (closed_form) = 0.7237582423308393 y[1] (numeric) = 0.7237582423308393 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3888 Order of pole (three term test) = 32.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000003 y[1] (closed_form) = 0.7177294796971694 y[1] (numeric) = 0.7177294796971696 absolute error = 2.220446049250313e-16 relative error = 3.093708858367059e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3824 Order of pole (three term test) = 32.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000003 y[1] (closed_form) = 0.711828943046975 y[1] (numeric) = 0.711828943046975 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3759 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000003 y[1] (closed_form) = 0.7060572224290034 y[1] (numeric) = 0.7060572224290034 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3692 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000003 y[1] (closed_form) = 0.700414895010507 y[1] (numeric) = 0.7004148950105068 absolute error = 2.220446049250313e-16 relative error = 3.170186792239768e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3624 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000003 y[1] (closed_form) = 0.6949025250195254 y[1] (numeric) = 0.6949025250195252 absolute error = 2.220446049250313e-16 relative error = 3.195334553127322e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3555 Order of pole (three term test) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000003 y[1] (closed_form) = 0.6895206636884641 y[1] (numeric) = 0.689520663688464 absolute error = 1.110223024625157e-16 relative error = 1.610137423128442e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3484 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (closed_form) = 0.6842698491989718 y[1] (numeric) = 0.6842698491989716 absolute error = 2.220446049250313e-16 relative error = 3.244985953786563e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3411 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (closed_form) = 0.6791506066281214 y[1] (numeric) = 0.679150606628121 absolute error = 4.440892098500626e-16 relative error = 6.538891455238439e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3337 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (closed_form) = 0.6741634478959039 y[1] (numeric) = 0.6741634478959037 absolute error = 2.220446049250313e-16 relative error = 3.293631620314674e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3262 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (closed_form) = 0.6693088717140369 y[1] (numeric) = 0.6693088717140366 absolute error = 2.220446049250313e-16 relative error = 3.317520718893148e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3186 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (closed_form) = 0.6645873635360927 y[1] (numeric) = 0.6645873635360927 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3108 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000004 y[1] (closed_form) = 0.6599993955089549 y[1] (numeric) = 0.6599993955089548 absolute error = 1.110223024625157e-16 relative error = 1.682157638597554e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3029 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000004 y[1] (closed_form) = 0.6555454264256025 y[1] (numeric) = 0.6555454264256027 absolute error = 1.110223024625157e-16 relative error = 1.693586714011123e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2949 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000004 y[1] (closed_form) = 0.6512259016792326 y[1] (numeric) = 0.6512259016792328 absolute error = 2.220446049250313e-16 relative error = 3.409640254671588e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2868 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000004 y[1] (closed_form) = 0.6470412532187203 y[1] (numeric) = 0.6470412532187204 absolute error = 1.110223024625157e-16 relative error = 1.715845812152361e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2785 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (closed_form) = 0.6429918995054242 y[1] (numeric) = 0.6429918995054242 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2702 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (closed_form) = 0.6390782454713411 y[1] (numeric) = 0.6390782454713412 absolute error = 1.110223024625157e-16 relative error = 1.737225500151912e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2617 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (closed_form) = 0.6353006824786132 y[1] (numeric) = 0.6353006824786132 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2531 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (closed_form) = 0.6316595882803919 y[1] (numeric) = 0.6316595882803918 absolute error = 1.110223024625157e-16 relative error = 1.757628705752079e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2444 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (closed_form) = 0.6281553269830626 y[1] (numeric) = 0.6281553269830625 absolute error = 1.110223024625157e-16 relative error = 1.767433908357339e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2357 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (closed_form) = 0.6247882490098349 y[1] (numeric) = 0.6247882490098349 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2268 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (closed_form) = 0.6215586910657004 y[1] (numeric) = 0.6215586910657003 absolute error = 1.110223024625157e-16 relative error = 1.786191779768394e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2178 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (closed_form) = 0.6184669761037619 y[1] (numeric) = 0.618466976103762 absolute error = 1.110223024625157e-16 relative error = 1.795120948283084e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2088 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (closed_form) = 0.6155134132929395 y[1] (numeric) = 0.6155134132929396 absolute error = 1.110223024625157e-16 relative error = 1.803734899432275e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1997 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (closed_form) = 0.6126982979870527 y[1] (numeric) = 0.6126982979870529 absolute error = 2.220446049250313e-16 relative error = 3.624044748525211e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1905 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (closed_form) = 0.6100219116952861 y[1] (numeric) = 0.6100219116952864 absolute error = 3.33066907387547e-16 relative error = 5.459917111205642e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1812 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (closed_form) = 0.6074845220540391 y[1] (numeric) = 0.6074845220540392 absolute error = 1.110223024625157e-16 relative error = 1.827574175669938e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1718 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (closed_form) = 0.6050863828001609 y[1] (numeric) = 0.605086382800161 absolute error = 1.110223024625157e-16 relative error = 1.834817401587146e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1624 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (closed_form) = 0.6028277337455786 y[1] (numeric) = 0.6028277337455787 absolute error = 1.110223024625157e-16 relative error = 1.841692016601417e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1529 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (closed_form) = 0.6007088007533153 y[1] (numeric) = 0.6007088007533155 absolute error = 1.110223024625157e-16 relative error = 1.848188378849932e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1434 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (closed_form) = 0.5987297957149045 y[1] (numeric) = 0.5987297957149047 absolute error = 2.220446049250313e-16 relative error = 3.708594536537174e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1337 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (closed_form) = 0.5968909165292012 y[1] (numeric) = 0.5968909165292011 absolute error = 1.110223024625157e-16 relative error = 1.860009917860497e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1241 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (closed_form) = 0.5951923470825909 y[1] (numeric) = 0.5951923470825908 absolute error = 1.110223024625157e-16 relative error = 1.86531804393496e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1144 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (closed_form) = 0.5936342572306035 y[1] (numeric) = 0.5936342572306034 absolute error = 1.110223024625157e-16 relative error = 1.870213875129984e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1046 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (closed_form) = 0.5922168027809254 y[1] (numeric) = 0.5922168027809253 absolute error = 1.110223024625157e-16 relative error = 1.874690180035053e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09482 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (closed_form) = 0.5909401254778204 y[1] (numeric) = 0.5909401254778202 absolute error = 2.220446049250313e-16 relative error = 3.757480586472128e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08498 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (closed_form) = 0.589804352987955 y[1] (numeric) = 0.5898043529879546 absolute error = 3.33066907387547e-16 relative error = 5.647074418834425e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07511 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (closed_form) = 0.5888095988876318 y[1] (numeric) = 0.5888095988876314 absolute error = 4.440892098500626e-16 relative error = 7.542153026870277e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06521 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (closed_form) = 0.5879559626514319 y[1] (numeric) = 0.5879559626514315 absolute error = 4.440892098500626e-16 relative error = 7.553103260445029e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05528 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (closed_form) = 0.5872435296422669 y[1] (numeric) = 0.587243529642267 absolute error = 1.110223024625157e-16 relative error = 1.890566636471031e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04534 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (closed_form) = 0.5866723711028449 y[1] (numeric) = 0.586672371102845 absolute error = 1.110223024625157e-16 relative error = 1.892407209390354e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03537 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (closed_form) = 0.5862425441485434 y[1] (numeric) = 0.5862425441485435 absolute error = 1.110223024625157e-16 relative error = 1.893794702732878e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02539 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (closed_form) = 0.5859540917616999 y[1] (numeric) = 0.5859540917617 absolute error = 1.110223024625157e-16 relative error = 1.894726976455129e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0154 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] = 0.7804034706280868 y[1] (closed_form) = 0.5858040777518915 y[1] (numeric) = 0.5858040777518915 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0005549532025135187 SETTING H FOR POLE NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.004995 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] = 0.7901003520339157 y[1] (closed_form) = 0.5858020721377182 y[1] (numeric) = 0.5858020721377183 absolute error = 1.110223024625157e-16 relative error = 1.895218670998744e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000272027631793 y[1] (closed_form) = 0.5859377619967442 y[1] (numeric) = 0.5859377619967443 absolute error = 1.110223024625157e-16 relative error = 1.894779781459666e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8101282087683949 y[1] (closed_form) = 0.5862188645193318 y[1] (numeric) = 0.5862188645193314 absolute error = 4.440892098500626e-16 relative error = 7.575484801469022e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200550594976584 y[1] (closed_form) = 0.586635658892969 y[1] (numeric) = 0.5866356588929685 absolute error = 4.440892098500626e-16 relative error = 7.570102552035389e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.830156065502874 y[1] (closed_form) = 0.5872027268298529 y[1] (numeric) = 0.5872027268298521 absolute error = 7.771561172376096e-16 relative error = 1.323488604069098e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400829162321376 y[1] (closed_form) = 0.5879004585411954 y[1] (numeric) = 0.5879004585411947 absolute error = 7.771561172376096e-16 relative error = 1.321917862023835e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500097669614012 y[1] (closed_form) = 0.588737340738845 y[1] (numeric) = 0.5887373407388441 absolute error = 8.881784197001252e-16 relative error = 1.508615741249726e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8601107729666168 y[1] (closed_form) = 0.5897316536282137 y[1] (numeric) = 0.5897316536282126 absolute error = 1.110223024625157e-15 relative error = 1.882590187918042e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700376236958803 y[1] (closed_form) = 0.5908490128534227 y[1] (numeric) = 0.5908490128534215 absolute error = 1.221245327087672e-15 relative error = 2.066933007452849e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8801386297010959 y[1] (closed_form) = 0.5921285096586746 y[1] (numeric) = 0.5921285096586729 absolute error = 1.665334536937735e-15 relative error = 2.812454576621715e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900654804303595 y[1] (closed_form) = 0.593525897736828 y[1] (numeric) = 0.5935258977368258 absolute error = 2.109423746787797e-15 relative error = 3.554055104977282e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8999923311596231 y[1] (closed_form) = 0.5950618819617556 y[1] (numeric) = 0.595061881961753 absolute error = 2.55351295663786e-15 relative error = 4.291172118468804e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100933371648386 y[1] (closed_form) = 0.5967669216861502 y[1] (numeric) = 0.5967669216861476 absolute error = 2.55351295663786e-15 relative error = 4.278911688709173e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200201878941022 y[1] (closed_form) = 0.5985820548938319 y[1] (numeric) = 0.598582054893829 absolute error = 2.886579864025407e-15 relative error = 4.822362849713877e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9301211938993178 y[1] (closed_form) = 0.6005707847213753 y[1] (numeric) = 0.6005707847213717 absolute error = 3.552713678800501e-15 relative error = 5.915561944040822e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400480446285814 y[1] (closed_form) = 0.6026643388589085 y[1] (numeric) = 0.6026643388589048 absolute error = 3.663735981263017e-15 relative error = 6.07923141462124e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.950149050633797 y[1] (closed_form) = 0.6049359611068095 y[1] (numeric) = 0.6049359611068053 absolute error = 4.218847493575595e-15 relative error = 6.97403984027774e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600759013630605 y[1] (closed_form) = 0.6073070964462011 y[1] (numeric) = 0.6073070964461963 absolute error = 4.773959005888173e-15 relative error = 7.860864847165637e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700027520923241 y[1] (closed_form) = 0.6098154699115996 y[1] (numeric) = 0.6098154699115946 absolute error = 4.996003610813204e-15 relative error = 8.19264819821222e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9801037580975397 y[1] (closed_form) = 0.6125084654380374 y[1] (numeric) = 0.6125084654380319 absolute error = 5.440092820663267e-15 relative error = 8.881661442463113e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900306088268033 y[1] (closed_form) = 0.6152929564880317 y[1] (numeric) = 0.615292956488026 absolute error = 5.773159728050814e-15 relative error = 9.382782083193097e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000131614832019 y[1] (closed_form) = 0.6182663595567964 y[1] (numeric) = 0.6182663595567904 absolute error = 5.995204332975845e-15 relative error = 9.696798540476149e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.010058465561282 y[1] (closed_form) = 0.6213258513274657 y[1] (numeric) = 0.6213258513274593 absolute error = 6.328271240363392e-15 relative error = 1.018510854947208e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.019985316290546 y[1] (closed_form) = 0.6245211997942202 y[1] (numeric) = 0.6245211997942135 absolute error = 6.661338147750939e-15 relative error = 1.066631228843128e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.030086322295761 y[1] (closed_form) = 0.6279117346259009 y[1] (numeric) = 0.6279117346258942 absolute error = 6.661338147750939e-15 relative error = 1.060871740471557e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.040013173025025 y[1] (closed_form) = 0.6313802076629814 y[1] (numeric) = 0.6313802076629739 absolute error = 7.549516567451064e-15 relative error = 1.195716380688457e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.050114179030241 y[1] (closed_form) = 0.6350479647747602 y[1] (numeric) = 0.6350479647747523 absolute error = 7.882583474838611e-15 relative error = 1.241257969803024e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.060041029759504 y[1] (closed_form) = 0.6387881711719506 y[1] (numeric) = 0.6387881711719428 absolute error = 7.882583474838611e-15 relative error = 1.233990206859475e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.07014203576472 y[1] (closed_form) = 0.6427316794204434 y[1] (numeric) = 0.6427316794204349 absolute error = 8.548717289613705e-15 relative error = 1.330060048902857e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080068886493983 y[1] (closed_form) = 0.6467421189748325 y[1] (numeric) = 0.6467421189748234 absolute error = 9.103828801926284e-15 relative error = 1.407644335327502e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.089995737223247 y[1] (closed_form) = 0.6508859106667405 y[1] (numeric) = 0.650885910666731 absolute error = 9.547918011776346e-15 relative error = 1.466911152216501e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.100096743228463 y[1] (closed_form) = 0.6552388607301359 y[1] (numeric) = 0.6552388607301255 absolute error = 1.043609643147647e-14 relative error = 1.59271634466971e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110023593957726 y[1] (closed_form) = 0.6596504397032138 y[1] (numeric) = 0.6596504397032027 absolute error = 1.110223024625157e-14 relative error = 1.683047501832428e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.120124599962942 y[1] (closed_form) = 0.6642749883808269 y[1] (numeric) = 0.6642749883808159 absolute error = 1.099120794378905e-14 relative error = 1.654617159465866e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.130051450692205 y[1] (closed_form) = 0.6689525851435235 y[1] (numeric) = 0.6689525851435117 absolute error = 1.176836406102666e-14 relative error = 1.759222450497259e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.140152456697421 y[1] (closed_form) = 0.6738468775213061 y[1] (numeric) = 0.6738468775212938 absolute error = 1.232347557333924e-14 relative error = 1.828824319654073e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150079307426684 y[1] (closed_form) = 0.6787886158818989 y[1] (numeric) = 0.6787886158818864 absolute error = 1.243449787580175e-14 relative error = 1.831866001412907e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160006158155948 y[1] (closed_form) = 0.6838605484683349 y[1] (numeric) = 0.6838605484683221 absolute error = 1.27675647831893e-14 relative error = 1.866983672590156e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.170107164161164 y[1] (closed_form) = 0.6891545866703011 y[1] (numeric) = 0.6891545866702873 absolute error = 1.376676550535194e-14 relative error = 1.997630977378681e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.180034014890427 y[1] (closed_form) = 0.6944876572363907 y[1] (numeric) = 0.6944876572363763 absolute error = 1.443289932012704e-14 relative error = 2.078208182642236e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.190135020895643 y[1] (closed_form) = 0.70004633970087 y[1] (numeric) = 0.7000463397008556 absolute error = 1.443289932012704e-14 relative error = 2.061706275943706e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200061871624906 y[1] (closed_form) = 0.7056384091432746 y[1] (numeric) = 0.7056384091432598 absolute error = 1.476596622751458e-14 relative error = 2.092568380091745e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.20998872235417 y[1] (closed_form) = 0.7113580269911113 y[1] (numeric) = 0.7113580269910961 absolute error = 1.521005543736464e-14 relative error = 2.13817161826371e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.220089728359385 y[1] (closed_form) = 0.7173083316041343 y[1] (numeric) = 0.7173083316041184 absolute error = 1.587618925213974e-14 relative error = 2.213300550494851e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.230016579088649 y[1] (closed_form) = 0.7232835553677539 y[1] (numeric) = 0.7232835553677376 absolute error = 1.63202784619898e-14 relative error = 2.256414975962193e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.240117585093865 y[1] (closed_form) = 0.7294927437939578 y[1] (numeric) = 0.7294927437939408 absolute error = 1.69864122767649e-14 relative error = 2.328523816209834e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.250044435823128 y[1] (closed_form) = 0.7357211768013231 y[1] (numeric) = 0.7357211768013052 absolute error = 1.787459069646502e-14 relative error = 2.429533260708621e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.260145441828344 y[1] (closed_form) = 0.7421867585250604 y[1] (numeric) = 0.742186758525042 absolute error = 1.84297022087776e-14 relative error = 2.483162357329406e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.270072292557607 y[1] (closed_form) = 0.7486659025414911 y[1] (numeric) = 0.748665902541472 absolute error = 1.909583602355269e-14 relative error = 2.55064855481306e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.279999143286871 y[1] (closed_form) = 0.7552683549671954 y[1] (numeric) = 0.7552683549671754 absolute error = 1.998401444325282e-14 relative error = 2.64594886199367e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.290100149292086 y[1] (closed_form) = 0.7621125404375632 y[1] (numeric) = 0.7621125404375427 absolute error = 2.042810365310288e-14 relative error = 2.680457618683742e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.30002700002135 y[1] (closed_form) = 0.7689617800244326 y[1] (numeric) = 0.7689617800244108 absolute error = 2.176037128265307e-14 relative error = 2.829837821323404e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.310128006026566 y[1] (closed_form) = 0.7760556970210567 y[1] (numeric) = 0.7760556970210343 absolute error = 2.242650509742816e-14 relative error = 2.889806129059273e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320054856755829 y[1] (closed_form) = 0.7831489765278755 y[1] (numeric) = 0.783148976527852 absolute error = 2.353672812205332e-14 relative error = 3.005396013719434e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330155862761045 y[1] (closed_form) = 0.7904897796690298 y[1] (numeric) = 0.7904897796690057 absolute error = 2.40918396343659e-14 relative error = 3.04771045167123e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.340082713490308 y[1] (closed_form) = 0.7978242539697704 y[1] (numeric) = 0.7978242539697457 absolute error = 2.475797344914099e-14 relative error = 3.103186362905316e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350009564219572 y[1] (closed_form) = 0.8052771925393354 y[1] (numeric) = 0.8052771925393096 absolute error = 2.575717417130363e-14 relative error = 3.198547582116635e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360110570224788 y[1] (closed_form) = 0.812981726072301 y[1] (numeric) = 0.8129817260722744 absolute error = 2.664535259100376e-14 relative error = 3.277484811341762e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370037420954051 y[1] (closed_form) = 0.8206714239252447 y[1] (numeric) = 0.8206714239252173 absolute error = 2.742250870824137e-14 relative error = 3.341472349199196e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.380138426959267 y[1] (closed_form) = 0.8286153131485819 y[1] (numeric) = 0.828615313148554 absolute error = 2.797762022055394e-14 relative error = 3.37643050720898e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.39006527768853 y[1] (closed_form) = 0.8365386859345016 y[1] (numeric) = 0.8365386859344728 absolute error = 2.886579864025407e-14 relative error = 3.45062327966434e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.399992128417794 y[1] (closed_form) = 0.844576708008873 y[1] (numeric) = 0.8445767080088431 absolute error = 2.986499936241671e-14 relative error = 3.536090810842365e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.410093134423009 y[1] (closed_form) = 0.8528726141823271 y[1] (numeric) = 0.8528726141822961 absolute error = 3.097522238704187e-14 relative error = 3.631869739039362e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.420019985152273 y[1] (closed_form) = 0.8611395235411649 y[1] (numeric) = 0.8611395235411328 absolute error = 3.208544541166702e-14 relative error = 3.725928787907184e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.430120991157489 y[1] (closed_form) = 0.8696666571033494 y[1] (numeric) = 0.8696666571033168 absolute error = 3.26405569239796e-14 relative error = 3.753226211143641e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.440047841886752 y[1] (closed_form) = 0.8781591378757706 y[1] (numeric) = 0.8781591378757367 absolute error = 3.386180225106727e-14 relative error = 3.855998393750992e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.450148847891968 y[1] (closed_form) = 0.8869140785794483 y[1] (numeric) = 0.8869140785794132 absolute error = 3.508304757815495e-14 relative error = 3.955630925866768e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.460075698621231 y[1] (closed_form) = 0.8956287244175059 y[1] (numeric) = 0.8956287244174701 absolute error = 3.574918139293004e-14 relative error = 3.991517960322275e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.470002549350495 y[1] (closed_form) = 0.9044521967196678 y[1] (numeric) = 0.9044521967196311 absolute error = 3.674838211509268e-14 relative error = 4.063054105941072e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.48010355535571 y[1] (closed_form) = 0.9135412760865976 y[1] (numeric) = 0.9135412760865592 absolute error = 3.841371665203042e-14 relative error = 4.204924031083304e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.490030406084974 y[1] (closed_form) = 0.9225816528649611 y[1] (numeric) = 0.9225816528649214 absolute error = 3.963496197911809e-14 relative error = 4.296092584980062e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.50013141209019 y[1] (closed_form) = 0.9318896081292343 y[1] (numeric) = 0.9318896081291936 absolute error = 4.063416270128073e-14 relative error = 4.360405175335488e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.510058262819453 y[1] (closed_form) = 0.9411432632738673 y[1] (numeric) = 0.9411432632738257 absolute error = 4.163336342344337e-14 relative error = 4.423700944170526e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.519985113548717 y[1] (closed_form) = 0.9505012598091166 y[1] (numeric) = 0.9505012598090737 absolute error = 4.285460875053104e-14 relative error = 4.508632503983979e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.530086119553932 y[1] (closed_form) = 0.9601295828540517 y[1] (numeric) = 0.9601295828540083 absolute error = 4.340972026284362e-14 relative error = 4.521235574661206e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.540012970283196 y[1] (closed_form) = 0.9696952751578589 y[1] (numeric) = 0.9696952751578144 absolute error = 4.451994328746878e-14 relative error = 4.59112717448492e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.550113976288412 y[1] (closed_form) = 0.9795329961616354 y[1] (numeric) = 0.9795329961615897 absolute error = 4.563016631209393e-14 relative error = 4.658359288650689e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.560040827017675 y[1] (closed_form) = 0.9893025474191507 y[1] (numeric) = 0.9893025474191036 absolute error = 4.707345624410664e-14 relative error = 4.758246743315259e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.570141833022891 y[1] (closed_form) = 0.9993457204557619 y[1] (numeric) = 0.9993457204557133 absolute error = 4.851674617611934e-14 relative error = 4.854851047342533e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.580068683752154 y[1] (closed_form) = 1.009315212083976 y[1] (numeric) = 1.009315212083926 absolute error = 4.951594689828198e-14 relative error = 4.905895235250078e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.589995534481418 y[1] (closed_form) = 1.019382327332882 y[1] (numeric) = 1.019382327332831 absolute error = 5.129230373768223e-14 relative error = 5.031704235238581e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600096540486633 y[1] (closed_form) = 1.02972524203976 y[1] (numeric) = 1.029725242039708 absolute error = 5.195843755245733e-14 relative error = 5.045854508677868e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610023391215897 y[1] (closed_form) = 1.039986287643831 y[1] (numeric) = 1.039986287643778 absolute error = 5.284661597215745e-14 relative error = 5.081472380937399e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620124397221113 y[1] (closed_form) = 1.050524450790062 y[1] (numeric) = 1.050524450790008 absolute error = 5.373479439185758e-14 relative error = 5.115044619041999e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630051247950376 y[1] (closed_form) = 1.060975311027101 y[1] (numeric) = 1.060975311027046 absolute error = 5.506706202140776e-14 relative error = 5.190230295566338e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640152253955592 y[1] (closed_form) = 1.071704495738186 y[1] (numeric) = 1.071704495738131 absolute error = 5.52891066263328e-14 relative error = 5.158988027595223e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650079104684855 y[1] (closed_form) = 1.082340978751035 y[1] (numeric) = 1.082340978750979 absolute error = 5.595524044110789e-14 relative error = 5.169834787709627e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660005955414119 y[1] (closed_form) = 1.093067889311888 y[1] (numeric) = 1.093067889311831 absolute error = 5.706546346573305e-14 relative error = 5.220669642180882e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670106961419334 y[1] (closed_form) = 1.104074721011319 y[1] (numeric) = 1.104074721011262 absolute error = 5.750955267558311e-14 relative error = 5.20884606640618e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680033812148598 y[1] (closed_form) = 1.114980846360441 y[1] (numeric) = 1.114980846360382 absolute error = 5.88418203051333e-14 relative error = 5.277383956612959e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690134818153814 y[1] (closed_form) = 1.126167820368337 y[1] (numeric) = 1.126167820368277 absolute error = 6.017408793468348e-14 relative error = 5.343261177095461e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700061668883077 y[1] (closed_form) = 1.137248786040989 y[1] (numeric) = 1.137248786040927 absolute error = 6.106226635438361e-14 relative error = 5.369297123363367e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.709988519612341 y[1] (closed_form) = 1.148414768560866 y[1] (numeric) = 1.148414768560803 absolute error = 6.283862319378386e-14 relative error = 5.471770732496758e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720089525617556 y[1] (closed_form) = 1.159862776646454 y[1] (numeric) = 1.159862776646391 absolute error = 6.328271240363392e-14 relative error = 5.456051670750665e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.73001637634682 y[1] (closed_form) = 1.171196926478557 y[1] (numeric) = 1.171196926478493 absolute error = 6.417089082333405e-14 relative error = 5.479086340866429e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740117382352036 y[1] (closed_form) = 1.182813747668169 y[1] (numeric) = 1.182813747668104 absolute error = 6.483702463810914e-14 relative error = 5.481592073640554e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750044233081299 y[1] (closed_form) = 1.194311518666436 y[1] (numeric) = 1.19431151866637 absolute error = 6.550315845288424e-14 relative error = 5.484595721393095e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760145239086515 y[1] (closed_form) = 1.206092493434068 y[1] (numeric) = 1.206092493434001 absolute error = 6.661338147750939e-14 relative error = 5.523074046157379e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.770072089815778 y[1] (closed_form) = 1.217749273823721 y[1] (numeric) = 1.217749273823653 absolute error = 6.772360450213455e-14 relative error = 5.561375067749627e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.779998940545042 y[1] (closed_form) = 1.22948313841726 y[1] (numeric) = 1.22948313841719 absolute error = 6.94999613415348e-14 relative error = 5.652778730337336e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790099946550257 y[1] (closed_form) = 1.241500791028431 y[1] (numeric) = 1.241500791028362 absolute error = 6.994405055138486e-14 relative error = 5.633830526474717e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800026797279521 y[1] (closed_form) = 1.253386648948184 y[1] (numeric) = 1.253386648948112 absolute error = 7.172040739078511e-14 relative error = 5.722129516137052e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810127803284737 y[1] (closed_form) = 1.265556543508118 y[1] (numeric) = 1.265556543508045 absolute error = 7.260858581048524e-14 relative error = 5.737285005789984e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820054654014 y[1] (closed_form) = 1.277589627317005 y[1] (numeric) = 1.277589627316932 absolute error = 7.283063041541027e-14 relative error = 5.700627874410489e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830155660019216 y[1] (closed_form) = 1.289906882461062 y[1] (numeric) = 1.289906882460988 absolute error = 7.371880883511039e-14 relative error = 5.715048879688084e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840082510748479 y[1] (closed_form) = 1.302082365669461 y[1] (numeric) = 1.302082365669386 absolute error = 7.505107646466058e-14 relative error = 5.763926956039632e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850009361477743 y[1] (closed_form) = 1.314326622767638 y[1] (numeric) = 1.314326622767562 absolute error = 7.571721027943568e-14 relative error = 5.760912772199233e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860110367482958 y[1] (closed_form) = 1.326855039928084 y[1] (numeric) = 1.326855039928008 absolute error = 7.638334409421077e-14 relative error = 5.756721103335505e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870037218212222 y[1] (closed_form) = 1.339234371681645 y[1] (numeric) = 1.339234371681567 absolute error = 7.793765632868599e-14 relative error = 5.81956810373837e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880138224217438 y[1] (closed_form) = 1.351897713732658 y[1] (numeric) = 1.351897713732579 absolute error = 7.926992395823618e-14 relative error = 5.863603670085949e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890065074946701 y[1] (closed_form) = 1.364407154771361 y[1] (numeric) = 1.364407154771281 absolute error = 8.01581023779363e-14 relative error = 5.874940049795376e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.899991925675965 y[1] (closed_form) = 1.376979228118135 y[1] (numeric) = 1.376979228118054 absolute error = 8.08242361927114e-14 relative error = 5.869677228404585e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.91009293168118 y[1] (closed_form) = 1.389834875192262 y[1] (numeric) = 1.38983487519218 absolute error = 8.193445921733655e-14 relative error = 5.895265738385087e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920019782410444 y[1] (closed_form) = 1.402529534579749 y[1] (numeric) = 1.402529534579666 absolute error = 8.37108160567368e-14 relative error = 5.968559947781757e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.930120788415659 y[1] (closed_form) = 1.415507333844041 y[1] (numeric) = 1.415507333843956 absolute error = 8.504308368628699e-14 relative error = 6.007957829179072e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.940047639144923 y[1] (closed_form) = 1.428319487423571 y[1] (numeric) = 1.428319487423484 absolute error = 8.659739592076221e-14 relative error = 6.062886957943017e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950148645150139 y[1] (closed_form) = 1.441414233461487 y[1] (numeric) = 1.441414233461398 absolute error = 8.881784197001252e-14 relative error = 6.161854094968991e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960075495879402 y[1] (closed_form) = 1.454338742257275 y[1] (numeric) = 1.454338742257184 absolute error = 9.081624341433781e-14 relative error = 6.244504170560854e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970002346608666 y[1] (closed_form) = 1.467317021362552 y[1] (numeric) = 1.46731702136246 absolute error = 9.214851104388799e-14 relative error = 6.2800682948746e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980103352613881 y[1] (closed_form) = 1.480576862715134 y[1] (numeric) = 1.480576862715041 absolute error = 9.325873406851315e-14 relative error = 6.298810714729933e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990030203343145 y[1] (closed_form) = 1.493659727449803 y[1] (numeric) = 1.493659727449708 absolute error = 9.481304630298837e-14 relative error = 6.347700521113149e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000131209348361 y[1] (closed_form) = 1.507023324644061 y[1] (numeric) = 1.507023324643965 absolute error = 9.547918011776346e-14 relative error = 6.335613958749736e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010058060077624 y[1] (closed_form) = 1.520205527449649 y[1] (numeric) = 1.520205527449552 absolute error = 9.658940314238862e-14 relative error = 6.353706877018824e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.019984910806888 y[1] (closed_form) = 1.533435009949212 y[1] (numeric) = 1.533435009949114 absolute error = 9.792167077193881e-14 relative error = 6.385772473994971e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.030085916812103 y[1] (closed_form) = 1.546943773798234 y[1] (numeric) = 1.546943773798134 absolute error = 1.003641614261142e-13 relative error = 6.487899762490302e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.040012767541367 y[1] (closed_form) = 1.560264672137176 y[1] (numeric) = 1.560264672137075 absolute error = 1.014743844507393e-13 relative error = 6.503664811672274e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.050113773546582 y[1] (closed_form) = 1.573863741741156 y[1] (numeric) = 1.573863741741053 absolute error = 1.028066520802895e-13 relative error = 6.532118972799711e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.060040624275846 y[1] (closed_form) = 1.587270712885338 y[1] (numeric) = 1.587270712885234 absolute error = 1.043609643147647e-13 relative error = 6.574868638825795e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.070141630281062 y[1] (closed_form) = 1.600954633635185 y[1] (numeric) = 1.600954633635079 absolute error = 1.056932319443149e-13 relative error = 6.601888006303093e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.080068481010325 y[1] (closed_form) = 1.614442300026522 y[1] (numeric) = 1.614442300026415 absolute error = 1.06581410364015e-13 relative error = 6.601747882984986e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.089995331739589 y[1] (closed_form) = 1.627967959873614 y[1] (numeric) = 1.627967959873506 absolute error = 1.083577672034153e-13 relative error = 6.656013501139637e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.100096337744804 y[1] (closed_form) = 1.641768534992625 y[1] (numeric) = 1.641768534992516 absolute error = 1.092459456231154e-13 relative error = 6.65416246533231e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.110023188474068 y[1] (closed_form) = 1.655366787392075 y[1] (numeric) = 1.655366787391965 absolute error = 1.103561686477406e-13 relative error = 6.666568973610959e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.120124194479283 y[1] (closed_form) = 1.669238457186048 y[1] (numeric) = 1.669238457185936 absolute error = 1.119104808822158e-13 relative error = 6.704283645062377e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.130051045208547 y[1] (closed_form) = 1.682903847856547 y[1] (numeric) = 1.682903847856434 absolute error = 1.13242748511766e-13 relative error = 6.729008829351665e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.140152051213763 y[1] (closed_form) = 1.696841048376009 y[1] (numeric) = 1.696841048375894 absolute error = 1.150191053511662e-13 relative error = 6.778425443045904e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.150078901943026 y[1] (closed_form) = 1.710568096106978 y[1] (numeric) = 1.710568096106862 absolute error = 1.163513729807164e-13 relative error = 6.801914126980176e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.16000575267229 y[1] (closed_form) = 1.724323664908168 y[1] (numeric) = 1.724323664908049 absolute error = 1.187938636348917e-13 relative error = 6.889301936317062e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.170106758677505 y[1] (closed_form) = 1.738348435968088 y[1] (numeric) = 1.738348435967969 absolute error = 1.194599974496668e-13 relative error = 6.872039861395189e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.180033609406769 y[1] (closed_form) = 1.7521574183705 y[1] (numeric) = 1.752157418370379 absolute error = 1.214583988939921e-13 relative error = 6.931934175580411e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.190134615411985 y[1] (closed_form) = 1.766233724700059 y[1] (numeric) = 1.766233724699937 absolute error = 1.219024881038422e-13 relative error = 6.901832209355169e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.200061466141248 y[1] (closed_form) = 1.780090581898236 y[1] (numeric) = 1.780090581898113 absolute error = 1.230127111284673e-13 relative error = 6.910474802764827e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.209988316870512 y[1] (closed_form) = 1.793969109312692 y[1] (numeric) = 1.793969109312567 absolute error = 1.247890679678676e-13 relative error = 6.956032147937985e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.220089322875727 y[1] (closed_form) = 1.808111951453736 y[1] (numeric) = 1.80811195145361 absolute error = 1.256772463875677e-13 relative error = 6.950744741580977e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.230016173604991 y[1] (closed_form) = 1.822030034386477 y[1] (numeric) = 1.822030034386351 absolute error = 1.263433802023428e-13 relative error = 6.934209525524411e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.240117179610206 y[1] (closed_form) = 1.836210287619779 y[1] (numeric) = 1.836210287619651 absolute error = 1.27897692436818e-13 relative error = 6.9653074758996e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.25004403033947 y[1] (closed_form) = 1.850162343504947 y[1] (numeric) = 1.850162343504818 absolute error = 1.285638262515931e-13 relative error = 6.948786235052318e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.260145036344686 y[1] (closed_form) = 1.86437432010771 y[1] (numeric) = 1.86437432010758 absolute error = 1.301181384860683e-13 relative error = 6.979185300007301e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.270071887073949 y[1] (closed_form) = 1.878354752752838 y[1] (numeric) = 1.878354752752708 absolute error = 1.298960938811433e-13 relative error = 6.915418596554941e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.279998737803213 y[1] (closed_form) = 1.892347172509932 y[1] (numeric) = 1.892347172509801 absolute error = 1.316724507205436e-13 relative error = 6.958155069711578e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.290099743808428 y[1] (closed_form) = 1.906595954108628 y[1] (numeric) = 1.906595954108495 absolute error = 1.334488075599438e-13 relative error = 6.999322917494273e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.300026594537692 y[1] (closed_form) = 1.920608360119322 y[1] (numeric) = 1.920608360119187 absolute error = 1.34781075189494e-13 relative error = 7.01762410224646e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.310127600542907 y[1] (closed_form) = 1.934874619980201 y[1] (numeric) = 1.934874619980065 absolute error = 1.365574320288943e-13 relative error = 7.057688938536575e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.320054451272171 y[1] (closed_form) = 1.948901391845494 y[1] (numeric) = 1.948901391845355 absolute error = 1.383337888682945e-13 relative error = 7.098039410670267e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.330155457277387 y[1] (closed_form) = 1.963179407748361 y[1] (numeric) = 1.963179407748221 absolute error = 1.396660564978447e-13 relative error = 7.114278804402934e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.34008230800665 y[1] (closed_form) = 1.977214919307085 y[1] (numeric) = 1.977214919306944 absolute error = 1.412203687323199e-13 relative error = 7.14238838445598e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.350009158735914 y[1] (closed_form) = 1.991252676143118 y[1] (numeric) = 1.991252676142975 absolute error = 1.429967255717202e-13 relative error = 7.18124461475639e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.360110164741129 y[1] (closed_form) = 2.005537585901859 y[1] (numeric) = 2.005537585901713 absolute error = 1.461053500406706e-13 relative error = 7.285096577981575e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.370037015470393 y[1] (closed_form) = 2.019575661805008 y[1] (numeric) = 2.01957566180486 absolute error = 1.474376176702208e-13 relative error = 7.30042555268504e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.380138021475608 y[1] (closed_form) = 2.033858031361858 y[1] (numeric) = 2.033858031361708 absolute error = 1.505462421391712e-13 relative error = 7.402003474075642e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.390064872204872 y[1] (closed_form) = 2.047890795636888 y[1] (numeric) = 2.047890795636736 absolute error = 1.514344205588714e-13 relative error = 7.394653117319946e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.399991722934136 y[1] (closed_form) = 2.061918840678387 y[1] (numeric) = 2.061918840678233 absolute error = 1.545430450278218e-13 relative error = 7.495108050759938e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.410092728939351 y[1] (closed_form) = 2.076186720392202 y[1] (numeric) = 2.076186720392047 absolute error = 1.549871342376719e-13 relative error = 7.464990153120428e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.420019579668615 y[1] (closed_form) = 2.090201036916389 y[1] (numeric) = 2.090201036916234 absolute error = 1.549871342376719e-13 relative error = 7.414939113527553e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.43012058567383 y[1] (closed_form) = 2.10445208652919 y[1] (numeric) = 2.104452086529033 absolute error = 1.567634910770721e-13 relative error = 7.449135671965687e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.440047436403094 y[1] (closed_form) = 2.118447053370755 y[1] (numeric) = 2.118447053370597 absolute error = 1.576516694967722e-13 relative error = 7.441850823976254e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.45014844240831 y[1] (closed_form) = 2.132675556763202 y[1] (numeric) = 2.132675556763042 absolute error = 1.598721155460225e-13 relative error = 7.496316776315625e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.460075293137573 y[1] (closed_form) = 2.146645560518023 y[1] (numeric) = 2.14664556051786 absolute error = 1.620925615952729e-13 relative error = 7.550969968053652e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.470002143866837 y[1] (closed_form) = 2.160601113591103 y[1] (numeric) = 2.160601113590938 absolute error = 1.643130076445232e-13 relative error = 7.604967275584756e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.480103149872052 y[1] (closed_form) = 2.174785247890793 y[1] (numeric) = 2.174785247890627 absolute error = 1.660893644839234e-13 relative error = 7.637046675988102e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.490030000601316 y[1] (closed_form) = 2.18870746155716 y[1] (numeric) = 2.188707461556992 absolute error = 1.674216321134736e-13 relative error = 7.649338025026021e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.500131006606531 y[1] (closed_form) = 2.202854828614375 y[1] (numeric) = 2.202854828614204 absolute error = 1.70530256582424e-13 relative error = 7.74132976750401e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.510057857335795 y[1] (closed_form) = 2.216738118651323 y[1] (numeric) = 2.216738118651152 absolute error = 1.709743457922741e-13 relative error = 7.712879764809383e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.519984708065059 y[1] (closed_form) = 2.230600050976776 y[1] (numeric) = 2.230600050976602 absolute error = 1.731947918415244e-13 relative error = 7.764493314957235e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.530085714070274 y[1] (closed_form) = 2.244681841731127 y[1] (numeric) = 2.244681841730954 absolute error = 1.731947918415244e-13 relative error = 7.715783529836656e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.540012564799538 y[1] (closed_form) = 2.258496528198832 y[1] (numeric) = 2.258496528198657 absolute error = 1.745270594710746e-13 relative error = 7.727577053672129e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.550113570804753 y[1] (closed_form) = 2.272527422523476 y[1] (numeric) = 2.2725274225233 absolute error = 1.763034163104749e-13 relative error = 7.758032513187575e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.560040421534017 y[1] (closed_form) = 2.286289322040067 y[1] (numeric) = 2.286289322039888 absolute error = 1.789679515695752e-13 relative error = 7.827878556064866e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.570141427539232 y[1] (closed_form) = 2.300263692120311 y[1] (numeric) = 2.300263692120129 absolute error = 1.811883976188255e-13 relative error = 7.876853346835718e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.580068278268496 y[1] (closed_form) = 2.313967284765352 y[1] (numeric) = 2.313967284765172 absolute error = 1.803002191991254e-13 relative error = 7.791822312535796e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.58999512899776 y[1] (closed_form) = 2.327639938585562 y[1] (numeric) = 2.327639938585378 absolute error = 1.834088436680759e-13 relative error = 7.879605459061164e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.600096135002975 y[1] (closed_form) = 2.341519314698508 y[1] (numeric) = 2.341519314698322 absolute error = 1.851852005074761e-13 relative error = 7.908762457990676e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.610022985732239 y[1] (closed_form) = 2.355125450093808 y[1] (numeric) = 2.355125450093622 absolute error = 1.860733789271762e-13 relative error = 7.900784177750052e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.620123991737454 y[1] (closed_form) = 2.368934360675203 y[1] (numeric) = 2.368934360675016 absolute error = 1.874056465567264e-13 relative error = 7.910968309958209e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.630050842466718 y[1] (closed_form) = 2.382468520202404 y[1] (numeric) = 2.382468520202216 absolute error = 1.878497357665765e-13 relative error = 7.884668115179024e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.640151848471934 y[1] (closed_form) = 2.396201426475597 y[1] (numeric) = 2.396201426475407 absolute error = 1.896260926059767e-13 relative error = 7.913612374602595e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.650078699201197 y[1] (closed_form) = 2.409658181561146 y[1] (numeric) = 2.409658181560957 absolute error = 1.891820033961267e-13 relative error = 7.85098919190112e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.660005549930461 y[1] (closed_form) = 2.42307456829198 y[1] (numeric) = 2.423074568291788 absolute error = 1.91402449445377e-13 relative error = 7.899156383796153e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.670106555935676 y[1] (closed_form) = 2.436683528352334 y[1] (numeric) = 2.436683528352142 absolute error = 1.922906278650771e-13 relative error = 7.891489626275043e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.68003340666494 y[1] (closed_form) = 2.450014449995282 y[1] (numeric) = 2.450014449995089 absolute error = 1.936228954946273e-13 relative error = 7.902928715175543e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.690134412670155 y[1] (closed_form) = 2.463533720665105 y[1] (numeric) = 2.463533720664911 absolute error = 1.940669847044774e-13 relative error = 7.877585887157377e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.700061263399419 y[1] (closed_form) = 2.476773830165665 y[1] (numeric) = 2.476773830165468 absolute error = 1.971756091734278e-13 relative error = 7.960985648828469e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.709988114128683 y[1] (closed_form) = 2.48996695763105 y[1] (numeric) = 2.489966957630851 absolute error = 1.98507876802978e-13 relative error = 7.972309680440019e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.720089120133898 y[1] (closed_form) = 2.503341975571916 y[1] (numeric) = 2.503341975571716 absolute error = 2.007283228522283e-13 relative error = 8.018413976634961e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.730015970863162 y[1] (closed_form) = 2.516436362198914 y[1] (numeric) = 2.516436362198712 absolute error = 2.020605904817785e-13 relative error = 8.02963244042515e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.740116976868377 y[1] (closed_form) = 2.529708229687401 y[1] (numeric) = 2.529708229687198 absolute error = 2.029487689014786e-13 relative error = 8.02261567242311e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.750043827597641 y[1] (closed_form) = 2.542698623296089 y[1] (numeric) = 2.542698623295885 absolute error = 2.038369473211787e-13 relative error = 8.016559471642998e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.760144833602856 y[1] (closed_form) = 2.555862016964411 y[1] (numeric) = 2.555862016964205 absolute error = 2.05613304160579e-13 relative error = 8.044773262243055e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.77007168433212 y[1] (closed_form) = 2.568743207086638 y[1] (numeric) = 2.56874320708643 absolute error = 2.073896609999792e-13 relative error = 8.07358479539074e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.779998535061384 y[1] (closed_form) = 2.581568352368167 y[1] (numeric) = 2.58156835236796 absolute error = 2.073896609999792e-13 relative error = 8.033475495999675e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.790099541066599 y[1] (closed_form) = 2.594559667045346 y[1] (numeric) = 2.594559667045139 absolute error = 2.073896609999792e-13 relative error = 7.993250786795439e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.800026391795863 y[1] (closed_form) = 2.60726789817982 y[1] (numeric) = 2.60726789817961 absolute error = 2.096101070492296e-13 relative error = 8.039454142612738e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.810127397801078 y[1] (closed_form) = 2.620137648147843 y[1] (numeric) = 2.620137648147632 absolute error = 2.109423746787797e-13 relative error = 8.050812705503982e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.820054248530342 y[1] (closed_form) = 2.632723867842939 y[1] (numeric) = 2.632723867842726 absolute error = 2.136069099378801e-13 relative error = 8.113532624782785e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.830155254535557 y[1] (closed_form) = 2.645466891024017 y[1] (numeric) = 2.645466891023802 absolute error = 2.149391775674303e-13 relative error = 8.124810720433205e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.840082105264821 y[1] (closed_form) = 2.657926050926403 y[1] (numeric) = 2.657926050926188 absolute error = 2.149391775674303e-13 relative error = 8.086725268090685e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.850008955994085 y[1] (closed_form) = 2.670320377771875 y[1] (numeric) = 2.670320377771657 absolute error = 2.180478020363807e-13 relative error = 8.165604541366705e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.8601099619993 y[1] (closed_form) = 2.6828643387933 y[1] (numeric) = 2.682864338793082 absolute error = 2.184918912462308e-13 relative error = 8.143978362487915e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.870036812728564 y[1] (closed_form) = 2.695124150998925 y[1] (numeric) = 2.695124150998704 absolute error = 2.207123372954811e-13 relative error = 8.189319857998972e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.880137818733779 y[1] (closed_form) = 2.707528728655524 y[1] (numeric) = 2.707528728655303 absolute error = 2.207123372954811e-13 relative error = 8.151800383853364e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.890064669463043 y[1] (closed_form) = 2.719649108790546 y[1] (numeric) = 2.719649108790324 absolute error = 2.224886941348814e-13 relative error = 8.180786757223404e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899991520192307 y[1] (closed_form) = 2.731698573582479 y[1] (numeric) = 2.731698573582257 absolute error = 2.229327833447314e-13 relative error = 8.160958368564317e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.910092526197522 y[1] (closed_form) = 2.743885414146003 y[1] (numeric) = 2.74388541414578 absolute error = 2.224886941348814e-13 relative error = 8.108527163264503e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.920019376926786 y[1] (closed_form) = 2.755788197079766 y[1] (numeric) = 2.755788197079542 absolute error = 2.233768725545815e-13 relative error = 8.10573442441215e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.930120382932001 y[1] (closed_form) = 2.767823345843524 y[1] (numeric) = 2.767823345843299 absolute error = 2.247091401841317e-13 relative error = 8.118622907115093e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.940047233661265 y[1] (closed_form) = 2.779574672693386 y[1] (numeric) = 2.779574672693162 absolute error = 2.238209617644316e-13 relative error = 8.052345704659584e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.95014823966648 y[1] (closed_form) = 2.791453302339497 y[1] (numeric) = 2.791453302339273 absolute error = 2.238209617644316e-13 relative error = 8.018080101030126e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.960075090395744 y[1] (closed_form) = 2.803048459629015 y[1] (numeric) = 2.80304845962879 absolute error = 2.251532293939817e-13 relative error = 8.032441559136686e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.970001941125008 y[1] (closed_form) = 2.814564483273627 y[1] (numeric) = 2.8145644832734 absolute error = 2.273736754432321e-13 relative error = 8.078467442990439e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.980102947130223 y[1] (closed_form) = 2.826200142512268 y[1] (numeric) = 2.826200142512039 absolute error = 2.291500322826323e-13 relative error = 8.108061026383506e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.990029797859487 y[1] (closed_form) = 2.837553064357095 y[1] (numeric) = 2.837553064356866 absolute error = 2.291500322826323e-13 relative error = 8.075621039867702e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.000130803864702 y[1] (closed_form) = 2.849020435165223 y[1] (numeric) = 2.849020435164992 absolute error = 2.304822999121825e-13 relative error = 8.089878790174987e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.010057654593966 y[1] (closed_form) = 2.860205701534721 y[1] (numeric) = 2.860205701534489 absolute error = 2.318145675417327e-13 relative error = 8.104821531449513e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.019984505323229 y[1] (closed_form) = 2.871306201895749 y[1] (numeric) = 2.871306201895515 absolute error = 2.335909243811329e-13 relative error = 8.13535401507882e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.030085511328445 y[1] (closed_form) = 2.882513308796631 y[1] (numeric) = 2.882513308796396 absolute error = 2.349231920106831e-13 relative error = 8.149943013056096e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.040012362057709 y[1] (closed_form) = 2.893439469027335 y[1] (numeric) = 2.8934394690271 absolute error = 2.349231920106831e-13 relative error = 8.119167327514733e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.050113368062924 y[1] (closed_form) = 2.904466938525017 y[1] (numeric) = 2.904466938524782 absolute error = 2.353672812205332e-13 relative error = 8.103630931328844e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.060040218792188 y[1] (closed_form) = 2.915214376124633 y[1] (numeric) = 2.915214376124398 absolute error = 2.349231920106831e-13 relative error = 8.058522005609083e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.070141224797403 y[1] (closed_form) = 2.92605778508304 y[1] (numeric) = 2.926057785082806 absolute error = 2.344791028008331e-13 relative error = 8.013481620089695e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.080068075526667 y[1] (closed_form) = 2.936622189236747 y[1] (numeric) = 2.93662218923651 absolute error = 2.366995488500834e-13 relative error = 8.06026562482672e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.089994926255931 y[1] (closed_form) = 2.947094297182366 y[1] (numeric) = 2.947094297182128 absolute error = 2.380318164796336e-13 relative error = 8.076830683945509e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.100095932261146 y[1] (closed_form) = 2.957654321654772 y[1] (numeric) = 2.957654321654534 absolute error = 2.380318164796336e-13 relative error = 8.047993125391935e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.11002278299041 y[1] (closed_form) = 2.967937086215615 y[1] (numeric) = 2.967937086215375 absolute error = 2.398081733190338e-13 relative error = 8.079961480073376e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.120123788995625 y[1] (closed_form) = 2.978302337355954 y[1] (numeric) = 2.978302337355712 absolute error = 2.424727085781342e-13 relative error = 8.141306056704573e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.130050639724889 y[1] (closed_form) = 2.988391634098313 y[1] (numeric) = 2.988391634098068 absolute error = 2.446931546273845e-13 relative error = 8.18812205988576e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.140151645730104 y[1] (closed_form) = 2.998557954387374 y[1] (numeric) = 2.998557954387128 absolute error = 2.460254222569347e-13 relative error = 8.204791302998155e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.150078496459368 y[1] (closed_form) = 3.008449736477803 y[1] (numeric) = 3.008449736477554 absolute error = 2.486899575160351e-13 relative error = 8.266382333088048e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.160005347188632 y[1] (closed_form) = 3.018242144361862 y[1] (numeric) = 3.018242144361611 absolute error = 2.509104035652854e-13 relative error = 8.313130344230038e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.170106353193847 y[1] (closed_form) = 3.02810334801637 y[1] (numeric) = 3.028103348016119 absolute error = 2.509104035652854e-13 relative error = 8.286058127099596e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.180033203923111 y[1] (closed_form) = 3.037692336941036 y[1] (numeric) = 3.037692336940784 absolute error = 2.513544927751354e-13 relative error = 8.274521080309604e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.190134209928326 y[1] (closed_form) = 3.047344585618238 y[1] (numeric) = 3.047344585617987 absolute error = 2.509104035652854e-13 relative error = 8.233739129780142e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.20006106065759 y[1] (closed_form) = 3.056726309424348 y[1] (numeric) = 3.056726309424097 absolute error = 2.509104035652854e-13 relative error = 8.208468085339889e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.209987911386853 y[1] (closed_form) = 3.066003901775463 y[1] (numeric) = 3.066003901775211 absolute error = 2.517985819849855e-13 relative error = 8.212598224000102e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.220088917392069 y[1] (closed_form) = 3.075336427254261 y[1] (numeric) = 3.075336427254009 absolute error = 2.526867604046856e-13 relative error = 8.216556672152152e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.230015768121333 y[1] (closed_form) = 3.084401157592065 y[1] (numeric) = 3.084401157591812 absolute error = 2.531308496145357e-13 relative error = 8.206806983957633e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.240116774126548 y[1] (closed_form) = 3.093515225882036 y[1] (numeric) = 3.093515225881782 absolute error = 2.540190280342358e-13 relative error = 8.21133918814991e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.250043624855812 y[1] (closed_form) = 3.102363458328344 y[1] (numeric) = 3.102363458328089 absolute error = 2.549072064539359e-13 relative error = 8.216548766058778e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.260144630861027 y[1] (closed_form) = 3.111255413761769 y[1] (numeric) = 3.111255413761513 absolute error = 2.557953848736361e-13 relative error = 8.221613170754051e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.270071481590291 y[1] (closed_form) = 3.119883599276055 y[1] (numeric) = 3.119883599275797 absolute error = 2.575717417130363e-13 relative error = 8.255812549314465e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.279998332319555 y[1] (closed_form) = 3.128401429717719 y[1] (numeric) = 3.12840142971746 absolute error = 2.593480985524366e-13 relative error = 8.290115714971974e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.29009933832477 y[1] (closed_form) = 3.13695455307797 y[1] (numeric) = 3.136954553077711 absolute error = 2.593480985524366e-13 relative error = 8.267512141607695e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.300026189054034 y[1] (closed_form) = 3.145247193609919 y[1] (numeric) = 3.145247193609657 absolute error = 2.615685446016869e-13 relative error = 8.316311199104029e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.310127195059249 y[1] (closed_form) = 3.153569472546561 y[1] (numeric) = 3.153569472546299 absolute error = 2.615685446016869e-13 relative error = 8.294364429855601e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.320054045788513 y[1] (closed_form) = 3.161633596977095 y[1] (numeric) = 3.161633596976835 absolute error = 2.602362769721367e-13 relative error = 8.231070077853238e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.330155051793728 y[1] (closed_form) = 3.169721693410418 y[1] (numeric) = 3.169721693410156 absolute error = 2.615685446016869e-13 relative error = 8.252098130427844e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.340081902522992 y[1] (closed_form) = 3.177554067206021 y[1] (numeric) = 3.177554067205758 absolute error = 2.629008122312371e-13 relative error = 8.273684937244896e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.350008753252256 y[1] (closed_form) = 3.185270402991346 y[1] (numeric) = 3.185270402991083 absolute error = 2.633449014410871e-13 relative error = 8.267583850770568e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.360109759257471 y[1] (closed_form) = 3.193002218570012 y[1] (numeric) = 3.193002218569748 absolute error = 2.637889906509372e-13 relative error = 8.261472200576024e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.370036609986735 y[1] (closed_form) = 3.200482139857574 y[1] (numeric) = 3.200482139857311 absolute error = 2.62456723021387e-13 relative error = 8.200537030119678e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.38013761599195 y[1] (closed_form) = 3.207971854790256 y[1] (numeric) = 3.207971854789991 absolute error = 2.646771690706373e-13 relative error = 8.250607581715908e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.390064466721214 y[1] (closed_form) = 3.215212361371375 y[1] (numeric) = 3.21521236137111 absolute error = 2.655653474903374e-13 relative error = 8.259651856310563e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.399991317450477 y[1] (closed_form) = 3.222333119035306 y[1] (numeric) = 3.222333119035041 absolute error = 2.655653474903374e-13 relative error = 8.241399559889131e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.410092323455693 y[1] (closed_form) = 3.229455159216777 y[1] (numeric) = 3.229455159216512 absolute error = 2.646771690706373e-13 relative error = 8.195722065229979e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.420019174184957 y[1] (closed_form) = 3.236332194487753 y[1] (numeric) = 3.236332194487489 absolute error = 2.642330798607873e-13 relative error = 8.16458459705834e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.430120180190172 y[1] (closed_form) = 3.243204820584236 y[1] (numeric) = 3.243204820583971 absolute error = 2.651212582804874e-13 relative error = 8.174668975508245e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.440047030919436 y[1] (closed_form) = 3.249835375072147 y[1] (numeric) = 3.249835375071883 absolute error = 2.642330798607873e-13 relative error = 8.130660460144731e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.450148036924651 y[1] (closed_form) = 3.25645583046206 y[1] (numeric) = 3.256455830461794 absolute error = 2.655653474903374e-13 relative error = 8.155042208960539e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.460074887653915 y[1] (closed_form) = 3.26283724464064 y[1] (numeric) = 3.262837244640375 absolute error = 2.651212582804874e-13 relative error = 8.125482161758487e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.470001738383178 y[1] (closed_form) = 3.269094216871923 y[1] (numeric) = 3.269094216871657 absolute error = 2.660094367001875e-13 relative error = 8.137099118382774e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.480102744388394 y[1] (closed_form) = 3.275332588122056 y[1] (numeric) = 3.275332588121789 absolute error = 2.668976151198876e-13 relative error = 8.148717967994696e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.490029595117658 y[1] (closed_form) = 3.281336629137738 y[1] (numeric) = 3.28133662913747 absolute error = 2.682298827494378e-13 relative error = 8.174409183367529e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.500130601122873 y[1] (closed_form) = 3.287316393613657 y[1] (numeric) = 3.287316393613389 absolute error = 2.682298827494378e-13 relative error = 8.159539594987996e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.510057451852137 y[1] (closed_form) = 3.293065095183056 y[1] (numeric) = 3.293065095182786 absolute error = 2.69562150378988e-13 relative error = 8.185752257776233e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.5199843025814 y[1] (closed_form) = 3.298686376105723 y[1] (numeric) = 3.298686376105452 absolute error = 2.713385072183883e-13 relative error = 8.225653374744827e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.530085308586616 y[1] (closed_form) = 3.304274910700935 y[1] (numeric) = 3.304274910700663 absolute error = 2.722266856380884e-13 relative error = 8.238620968142781e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.54001215931588 y[1] (closed_form) = 3.309637441731037 y[1] (numeric) = 3.309637441730764 absolute error = 2.731148640577885e-13 relative error = 8.252108240440423e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.550113165321095 y[1] (closed_form) = 3.314961579416013 y[1] (numeric) = 3.314961579415739 absolute error = 2.735589532676386e-13 relative error = 8.252251095948769e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.560040016050359 y[1] (closed_form) = 3.320063209633571 y[1] (numeric) = 3.320063209633297 absolute error = 2.740030424774886e-13 relative error = 8.25294656084966e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.570141022055574 y[1] (closed_form) = 3.325120814887966 y[1] (numeric) = 3.325120814887691 absolute error = 2.753353101070388e-13 relative error = 8.28046033317787e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.580067872784838 y[1] (closed_form) = 3.329959498020745 y[1] (numeric) = 3.32995949802047 absolute error = 2.753353101070388e-13 relative error = 8.268428197721087e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.589994723514101 y[1] (closed_form) = 3.334667124874923 y[1] (numeric) = 3.334667124874647 absolute error = 2.762234885267389e-13 relative error = 8.283390161082406e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.600095729519317 y[1] (closed_form) = 3.339322337475077 y[1] (numeric) = 3.339322337474799 absolute error = 2.779998453661392e-13 relative error = 8.325037755305167e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.610022580248581 y[1] (closed_form) = 3.343764153811977 y[1] (numeric) = 3.343764153811698 absolute error = 2.788880237858393e-13 relative error = 8.340541107479121e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.620123586253796 y[1] (closed_form) = 3.34814797254633 y[1] (numeric) = 3.348147972546049 absolute error = 2.802202914153895e-13 relative error = 8.369411797599755e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.63005043698306 y[1] (closed_form) = 3.352322196746143 y[1] (numeric) = 3.352322196745862 absolute error = 2.806643806252396e-13 relative error = 8.372237635680134e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.640151442988275 y[1] (closed_form) = 3.35643286325782 y[1] (numeric) = 3.35643286325754 absolute error = 2.802202914153895e-13 relative error = 8.348753061111497e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.650078293717539 y[1] (closed_form) = 3.360337821032384 y[1] (numeric) = 3.360337821032103 absolute error = 2.806643806252396e-13 relative error = 8.352266812835268e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.660005144446802 y[1] (closed_form) = 3.364108729001122 y[1] (numeric) = 3.36410872900084 absolute error = 2.828848266744899e-13 relative error = 8.408908553870808e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.670106150452018 y[1] (closed_form) = 3.36780781159067 y[1] (numeric) = 3.367807811590387 absolute error = 2.833289158843399e-13 relative error = 8.412858801183168e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.680033001181282 y[1] (closed_form) = 3.371307150744706 y[1] (numeric) = 3.371307150744422 absolute error = 2.846611835138901e-13 relative error = 8.443644283523967e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.690134007186497 y[1] (closed_form) = 3.374729172195556 y[1] (numeric) = 3.374729172195273 absolute error = 2.828848266744899e-13 relative error = 8.382445293838159e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.700060857915761 y[1] (closed_form) = 3.377955538944224 y[1] (numeric) = 3.37795553894394 absolute error = 2.8377300509419e-13 relative error = 8.400732390423437e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.709987708645024 y[1] (closed_form) = 3.381046119809727 y[1] (numeric) = 3.381046119809445 absolute error = 2.828848266744899e-13 relative error = 8.366784026312235e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.72008871465024 y[1] (closed_form) = 3.384051226920279 y[1] (numeric) = 3.384051226919996 absolute error = 2.824407374646398e-13 relative error = 8.346231145019647e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.730015565379504 y[1] (closed_form) = 3.386866940600848 y[1] (numeric) = 3.386866940600564 absolute error = 2.833289158843399e-13 relative error = 8.365516592573192e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.740116571384719 y[1] (closed_form) = 3.389591769682441 y[1] (numeric) = 3.389591769682157 absolute error = 2.8377300509419e-13 relative error = 8.371893265506001e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.750043422113983 y[1] (closed_form) = 3.392131486790706 y[1] (numeric) = 3.392131486790423 absolute error = 2.833289158843399e-13 relative error = 8.352533414098204e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.760144428119198 y[1] (closed_form) = 3.394574944909934 y[1] (numeric) = 3.39457494490965 absolute error = 2.842170943040401e-13 relative error = 8.37268579767889e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.770071278848462 y[1] (closed_form) = 3.396837646761205 y[1] (numeric) = 3.39683764676092 absolute error = 2.851052727237402e-13 relative error = 8.393255797655816e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.779998129577725 y[1] (closed_form) = 3.398962702057022 y[1] (numeric) = 3.398962702056737 absolute error = 2.855493619335903e-13 relative error = 8.401073708775277e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.790099135582941 y[1] (closed_form) = 3.40098353286387 y[1] (numeric) = 3.400983532863584 absolute error = 2.864375403532904e-13 relative error = 8.422197213995022e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.800025986312205 y[1] (closed_form) = 3.402830256787206 y[1] (numeric) = 3.402830256786919 absolute error = 2.873257187729905e-13 relative error = 8.443727635250019e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.81012699231742 y[1] (closed_form) = 3.404567482176997 y[1] (numeric) = 3.404567482176709 absolute error = 2.877698079828406e-13 relative error = 8.45246303647448e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.820053843046684 y[1] (closed_form) = 3.406135134003861 y[1] (numeric) = 3.406135134003572 absolute error = 2.891020756123908e-13 relative error = 8.48768660779925e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.830154849051899 y[1] (closed_form) = 3.407588057172646 y[1] (numeric) = 3.407588057172356 absolute error = 2.899902540320909e-13 relative error = 8.510132362440031e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.840081699781163 y[1] (closed_form) = 3.408876008115323 y[1] (numeric) = 3.408876008115032 absolute error = 2.90878432451791e-13 relative error = 8.53297191682281e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.850008550510426 y[1] (closed_form) = 3.410025126223686 y[1] (numeric) = 3.410025126223394 absolute error = 2.913225216616411e-13 relative error = 8.543119504349697e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.860109556515642 y[1] (closed_form) = 3.411051779752498 y[1] (numeric) = 3.411051779752206 absolute error = 2.917666108714911e-13 relative error = 8.553567336719274e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.870036407244906 y[1] (closed_form) = 3.411920465973517 y[1] (numeric) = 3.411920465973227 absolute error = 2.90434343241941e-13 relative error = 8.512342129260973e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.880137413250121 y[1] (closed_form) = 3.412661576209817 y[1] (numeric) = 3.412661576209525 absolute error = 2.922107000813412e-13 relative error = 8.562545495820226e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.890064263979385 y[1] (closed_form) = 3.413249482112028 y[1] (numeric) = 3.413249482111736 absolute error = 2.917666108714911e-13 relative error = 8.548059917699122e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.899991114708648 y[1] (closed_form) = 3.413698124210991 y[1] (numeric) = 3.413698124210698 absolute error = 2.930988785010413e-13 relative error = 8.585963604171511e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.910092120713864 y[1] (closed_form) = 3.414011641568668 y[1] (numeric) = 3.414011641568376 absolute error = 2.922107000813412e-13 relative error = 8.559159451110611e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.920018971443127 y[1] (closed_form) = 3.414179192434423 y[1] (numeric) = 3.414179192434132 absolute error = 2.90434343241941e-13 relative error = 8.506710599300783e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.930119977448343 y[1] (closed_form) = 3.414206638640031 y[1] (numeric) = 3.414206638639739 absolute error = 2.917666108714911e-13 relative error = 8.545663509918939e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.940046828177607 y[1] (closed_form) = 3.414093031067652 y[1] (numeric) = 3.414093031067361 absolute error = 2.90878432451791e-13 relative error = 8.519932813922994e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.950147834182822 y[1] (closed_form) = 3.413834395112472 y[1] (numeric) = 3.413834395112182 absolute error = 2.899902540320909e-13 relative error = 8.494561260712146e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.960074684912086 y[1] (closed_form) = 3.413439674670141 y[1] (numeric) = 3.413439674669851 absolute error = 2.899902540320909e-13 relative error = 8.495543547583397e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.970001535641349 y[1] (closed_form) = 3.412905671682692 y[1] (numeric) = 3.412905671682402 absolute error = 2.899902540320909e-13 relative error = 8.496872809529325e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.980102541646565 y[1] (closed_form) = 3.412219385304214 y[1] (numeric) = 3.412219385303924 absolute error = 2.895461648222408e-13 relative error = 8.48556707898858e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.990029392375829 y[1] (closed_form) = 3.411404548019043 y[1] (numeric) = 3.411404548018753 absolute error = 2.90434343241941e-13 relative error = 8.513629478819575e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.000130398381044 y[1] (closed_form) = 3.410432652429933 y[1] (numeric) = 3.410432652429643 absolute error = 2.899902540320909e-13 relative error = 8.503034177363768e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.010057249110282 y[1] (closed_form) = 3.409337307679611 y[1] (numeric) = 3.409337307679321 absolute error = 2.90878432451791e-13 relative error = 8.53181736511024e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.019984099839521 y[1] (closed_form) = 3.4081030846378 y[1] (numeric) = 3.408103084637507 absolute error = 2.930988785010413e-13 relative error = 8.600059071634295e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.03008510584471 y[1] (closed_form) = 3.406704779837887 y[1] (numeric) = 3.406704779837591 absolute error = 2.957634137601417e-13 relative error = 8.681803469164006e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.040011956573949 y[1] (closed_form) = 3.405190748088888 y[1] (numeric) = 3.405190748088589 absolute error = 2.984279490192421e-13 relative error = 8.763912834742966e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.050112962579139 y[1] (closed_form) = 3.403508020405096 y[1] (numeric) = 3.403508020404793 absolute error = 3.028688411177427e-13 relative error = 8.89872564724247e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.060039813308377 y[1] (closed_form) = 3.401714787229523 y[1] (numeric) = 3.401714787229216 absolute error = 3.073097332162433e-13 relative error = 9.033965292149823e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.070140819313567 y[1] (closed_form) = 3.399748311606682 y[1] (numeric) = 3.399748311606369 absolute error = 3.12194714524594e-13 relative error = 9.182877257671301e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.080067670042805 y[1] (closed_form) = 3.397676596273299 y[1] (numeric) = 3.397676596272981 absolute error = 3.184119634624949e-13 relative error = 9.371461775136021e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.089994520772043 y[1] (closed_form) = 3.395467151713075 y[1] (numeric) = 3.395467151712751 absolute error = 3.237410339806956e-13 relative error = 9.534506432122672e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.100095526777233 y[1] (closed_form) = 3.393077794945222 y[1] (numeric) = 3.393077794944893 absolute error = 3.286260152890463e-13 relative error = 9.685189528475038e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.110022377506471 y[1] (closed_form) = 3.390591152368641 y[1] (numeric) = 3.390591152368306 absolute error = 3.348432642269472e-13 relative error = 9.875660295787309e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.120123383511661 y[1] (closed_form) = 3.387920227832037 y[1] (numeric) = 3.387920227831693 absolute error = 3.437250484239485e-13 relative error = 1.014560631033221e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.130050234240899 y[1] (closed_form) = 3.385157384635507 y[1] (numeric) = 3.385157384635158 absolute error = 3.494982081519993e-13 relative error = 1.032443010591754e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.140151240246089 y[1] (closed_form) = 3.382205963642358 y[1] (numeric) = 3.382205963642002 absolute error = 3.566036355096003e-13 relative error = 1.054352216698144e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.150078090975327 y[1] (closed_form) = 3.379168028006814 y[1] (numeric) = 3.379168028006452 absolute error = 3.61932706027801e-13 relative error = 1.071070461806202e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.160004941704566 y[1] (closed_form) = 3.375994187007547 y[1] (numeric) = 3.375994187007179 absolute error = 3.681499549657019e-13 relative error = 1.090493450440526e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.170105947709756 y[1] (closed_form) = 3.372625484823311 y[1] (numeric) = 3.372625484822936 absolute error = 3.75699471533153e-13 relative error = 1.113967362293224e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.180032798438994 y[1] (closed_form) = 3.369178414618374 y[1] (numeric) = 3.369178414617989 absolute error = 3.850253449400043e-13 relative error = 1.142787046448581e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.190133804444184 y[1] (closed_form) = 3.365532379309787 y[1] (numeric) = 3.365532379309393 absolute error = 3.939071291370055e-13 relative error = 1.170415508579327e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.200060655173422 y[1] (closed_form) = 3.361813462524684 y[1] (numeric) = 3.361813462524283 absolute error = 4.010125564946065e-13 relative error = 1.192845947476963e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.20998750590266 y[1] (closed_form) = 3.357960350521747 y[1] (numeric) = 3.357960350521338 absolute error = 4.094502514817577e-13 relative error = 1.21934212659223e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.22008851190785 y[1] (closed_form) = 3.353902284820823 y[1] (numeric) = 3.353902284820404 absolute error = 4.192202140984591e-13 relative error = 1.249947608777324e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.230015362637088 y[1] (closed_form) = 3.349779597481096 y[1] (numeric) = 3.349779597480666 absolute error = 4.307665335545607e-13 relative error = 1.285954854696949e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.240116368642278 y[1] (closed_form) = 3.345448054693126 y[1] (numeric) = 3.345448054692684 absolute error = 4.418687638008123e-13 relative error = 1.320805932649116e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.250043219371516 y[1] (closed_form) = 3.341057445633253 y[1] (numeric) = 3.3410574456328 absolute error = 4.529709940470639e-13 relative error = 1.355771343109035e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.260144225376706 y[1] (closed_form) = 3.336454163147142 y[1] (numeric) = 3.336454163146677 absolute error = 4.649614027130156e-13 relative error = 1.393579470830902e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.270071076105944 y[1] (closed_form) = 3.331797393447608 y[1] (numeric) = 3.331797393447133 absolute error = 4.75175454539567e-13 relative error = 1.426183523266025e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.279997926835183 y[1] (closed_form) = 3.327009386360399 y[1] (numeric) = 3.327009386359912 absolute error = 4.867217739956686e-13 relative error = 1.462940789981121e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.290098932840372 y[1] (closed_form) = 3.322003155146259 y[1] (numeric) = 3.322003155145762 absolute error = 4.978240042419202e-13 relative error = 1.498565717707761e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.300025783569611 y[1] (closed_form) = 3.316951820396826 y[1] (numeric) = 3.316951820396316 absolute error = 5.093703236980218e-13 relative error = 1.535657890976188e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.310126789574801 y[1] (closed_form) = 3.31167865921423 y[1] (numeric) = 3.311678659213706 absolute error = 5.240252676230739e-13 relative error = 1.58235542015846e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.320053640304039 y[1] (closed_form) = 3.306366022901213 y[1] (numeric) = 3.306366022900676 absolute error = 5.369038547087257e-13 relative error = 1.623848814650027e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.330154646309229 y[1] (closed_form) = 3.300828046823748 y[1] (numeric) = 3.300828046823197 absolute error = 5.511147094239277e-13 relative error = 1.669625626073563e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.340081497038467 y[1] (closed_form) = 3.295256239854274 y[1] (numeric) = 3.29525623985371 absolute error = 5.639932965095795e-13 relative error = 1.711530926452387e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.350008347767705 y[1] (closed_form) = 3.289556796319264 y[1] (numeric) = 3.289556796318686 absolute error = 5.777600620149315e-13 relative error = 1.756346212539623e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.360109353772895 y[1] (closed_form) = 3.283626927408183 y[1] (numeric) = 3.283626927407592 absolute error = 5.915268275202834e-13 relative error = 1.801443466621784e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.370036204502133 y[1] (closed_form) = 3.277671694048163 y[1] (numeric) = 3.277671694047557 absolute error = 6.057376822354854e-13 relative error = 1.84807307984942e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.380137210507323 y[1] (closed_form) = 3.27148275009921 y[1] (numeric) = 3.271482750098586 absolute error = 6.235012506294879e-13 relative error = 1.905867456004712e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.390064061236561 y[1] (closed_form) = 3.265274115568033 y[1] (numeric) = 3.265274115567395 absolute error = 6.3860028376439e-13 relative error = 1.955732539328625e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.3999909119658 y[1] (closed_form) = 3.258940798956506 y[1] (numeric) = 3.258940798955849 absolute error = 6.563638521583925e-13 relative error = 2.014040428008255e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.410091917970989 y[1] (closed_form) = 3.252369033567907 y[1] (numeric) = 3.252369033567235 absolute error = 6.723510637129948e-13 relative error = 2.067265604774909e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.420018768700228 y[1] (closed_form) = 3.245786077765566 y[1] (numeric) = 3.245786077764877 absolute error = 6.887823644774471e-13 relative error = 2.122081825403639e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.430119774705418 y[1] (closed_form) = 3.238961624297312 y[1] (numeric) = 3.238961624296606 absolute error = 7.056577544517495e-13 relative error = 2.178654261162606e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.440046625434656 y[1] (closed_form) = 3.232131669738509 y[1] (numeric) = 3.232131669737788 absolute error = 7.216449660063518e-13 relative error = 2.232721435091583e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.450147631439846 y[1] (closed_form) = 3.225057265490062 y[1] (numeric) = 3.225057265489324 absolute error = 7.380762667708041e-13 relative error = 2.288567941625836e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.460074482169084 y[1] (closed_form) = 3.217983051680759 y[1] (numeric) = 3.217983051680003 absolute error = 7.558398351648066e-13 relative error = 2.34879992537571e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.470001332898322 y[1] (closed_form) = 3.210788815926133 y[1] (numeric) = 3.210788815925361 absolute error = 7.722711359292589e-13 relative error = 2.405238027797545e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.480102338903512 y[1] (closed_form) = 3.20334589862619 y[1] (numeric) = 3.203345898625399 absolute error = 7.918110611626616e-13 relative error = 2.471825042379105e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.49002918963275 y[1] (closed_form) = 3.195911683467649 y[1] (numeric) = 3.195911683466838 absolute error = 8.104628079763643e-13 relative error = 2.53593618424709e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.50013019563794 y[1] (closed_form) = 3.188226081560866 y[1] (numeric) = 3.188226081560039 absolute error = 8.273381979506667e-13 relative error = 2.594979705911022e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.510057046367178 y[1] (closed_form) = 3.180554868874284 y[1] (numeric) = 3.180554868873438 absolute error = 8.459899447643693e-13 relative error = 2.659881623308691e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.519983897096417 y[1] (closed_form) = 3.17276732247376 y[1] (numeric) = 3.172767322472895 absolute error = 8.65085780787922e-13 relative error = 2.726596982578059e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.530084903101606 y[1] (closed_form) = 3.164724531789524 y[1] (numeric) = 3.16472453178864 absolute error = 8.841816168114747e-13 relative error = 2.79386596820642e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.540011753830845 y[1] (closed_form) = 3.156704624742983 y[1] (numeric) = 3.156704624742079 absolute error = 9.037215420448774e-13 relative error = 2.862863807279587e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.550112759836034 y[1] (closed_form) = 3.1484270217875 y[1] (numeric) = 3.148427021786576 absolute error = 9.237055564881302e-13 relative error = 2.933863640783079e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.560039610565273 y[1] (closed_form) = 3.140177970892793 y[1] (numeric) = 3.14017797089185 absolute error = 9.423573033018329e-13 relative error = 3.00096781786514e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.570140616570463 y[1] (closed_form) = 3.131668875826165 y[1] (numeric) = 3.131668875825204 absolute error = 9.614531393253856e-13 relative error = 3.070098332384341e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.580067467299701 y[1] (closed_form) = 3.123193989791116 y[1] (numeric) = 3.123193989790134 absolute error = 9.818812429784884e-13 relative error = 3.14383687400781e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.589994318028939 y[1] (closed_form) = 3.114608422472414 y[1] (numeric) = 3.114608422471411 absolute error = 1.003197525051291e-12 relative error = 3.220942696401434e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.600095324034129 y[1] (closed_form) = 3.105759493740589 y[1] (numeric) = 3.105759493739563 absolute error = 1.025846074753645e-12 relative error = 3.303044156577983e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.610022174763367 y[1] (closed_form) = 3.096953208594586 y[1] (numeric) = 3.096953208593538 absolute error = 1.047606446036298e-12 relative error = 3.382700271767126e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.620123180768557 y[1] (closed_form) = 3.087881475746131 y[1] (numeric) = 3.087881475745061 absolute error = 1.070699084948501e-12 relative error = 3.467422870205164e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.630050031497795 y[1] (closed_form) = 3.078858004988222 y[1] (numeric) = 3.078858004987129 absolute error = 1.092459456231154e-12 relative error = 3.548261902501519e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.640151037502985 y[1] (closed_form) = 3.06956710671004 y[1] (numeric) = 3.069567106708925 absolute error = 1.114219827513807e-12 relative error = 3.629892388011765e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.650077888232223 y[1] (closed_form) = 3.060330069669124 y[1] (numeric) = 3.060330069667986 absolute error = 1.13775655563586e-12 relative error = 3.717757659254291e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.660004738961462 y[1] (closed_form) = 3.050988546053072 y[1] (numeric) = 3.050988546051911 absolute error = 1.161293283757914e-12 relative error = 3.806285294843952e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.670105744966651 y[1] (closed_form) = 3.041376834222494 y[1] (numeric) = 3.041376834221309 absolute error = 1.184385922670117e-12 relative error = 3.894242598756746e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.68003259569589 y[1] (closed_form) = 3.031827316995436 y[1] (numeric) = 3.031827316994226 absolute error = 1.209699007631571e-12 relative error = 3.989999697048681e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.69013360170108 y[1] (closed_form) = 3.02200590082211 y[1] (numeric) = 3.022005900820877 absolute error = 1.233679824963474e-12 relative error = 4.08232103262228e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.700060452430318 y[1] (closed_form) = 3.012252220311047 y[1] (numeric) = 3.012252220309789 absolute error = 1.257660642295377e-12 relative error = 4.17515051965174e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.709987303159556 y[1] (closed_form) = 3.00239879089094 y[1] (numeric) = 3.002398790889659 absolute error = 1.280753281207581e-12 relative error = 4.265766709916395e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.720088309164746 y[1] (closed_form) = 2.992271107603243 y[1] (numeric) = 2.992271107601939 absolute error = 1.303845920119784e-12 relative error = 4.357378971466732e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.730015159893984 y[1] (closed_form) = 2.982219396086299 y[1] (numeric) = 2.98221939608497 absolute error = 1.328714915871387e-12 relative error = 4.455456622725745e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.740116165899174 y[1] (closed_form) = 2.971891993329058 y[1] (numeric) = 2.971891993327703 absolute error = 1.354916179252541e-12 relative error = 4.559103030304911e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.750043016628412 y[1] (closed_form) = 2.961646031473228 y[1] (numeric) = 2.961646031471847 absolute error = 1.380229264213995e-12 relative error = 4.66034512411809e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.760144022633602 y[1] (closed_form) = 2.951123051584602 y[1] (numeric) = 2.951123051583197 absolute error = 1.405098259965598e-12 relative error = 4.761232369524993e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.77007087336284 y[1] (closed_form) = 2.940686949061967 y[1] (numeric) = 2.940686949060536 absolute error = 1.430855434136902e-12 relative error = 4.865718313176185e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.779997724092079 y[1] (closed_form) = 2.930158149783487 y[1] (numeric) = 2.93015814978203 absolute error = 1.457500786727906e-12 relative error = 4.974136931262914e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.790098730097268 y[1] (closed_form) = 2.919350555574799 y[1] (numeric) = 2.919350555573315 absolute error = 1.484146139318909e-12 relative error = 5.083822963586131e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.800025580826507 y[1] (closed_form) = 2.908637904088746 y[1] (numeric) = 2.908637904087235 absolute error = 1.511235581119763e-12 relative error = 5.195681384043648e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.810126586831696 y[1] (closed_form) = 2.897645409074095 y[1] (numeric) = 2.897645409072555 absolute error = 1.540101379760017e-12 relative error = 5.315009817754535e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.820053437560935 y[1] (closed_form) = 2.886753202242525 y[1] (numeric) = 2.886753202240959 absolute error = 1.565858553931321e-12 relative error = 5.42428965771965e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.830154443566125 y[1] (closed_form) = 2.875580215529665 y[1] (numeric) = 2.875580215528071 absolute error = 1.593836174151875e-12 relative error = 5.542659410244619e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.840081294295363 y[1] (closed_form) = 2.864512822234577 y[1] (numeric) = 2.864512822232956 absolute error = 1.620925615952729e-12 relative error = 5.658643254695789e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.850008145024601 y[1] (closed_form) = 2.853360238500642 y[1] (numeric) = 2.853360238498993 absolute error = 1.648903236173282e-12 relative error = 5.778811991295335e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.860109151029791 y[1] (closed_form) = 2.841925684717748 y[1] (numeric) = 2.841925684716071 absolute error = 1.676880856393836e-12 relative error = 5.900509170282471e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.870036001759029 y[1] (closed_form) = 2.830604579441553 y[1] (numeric) = 2.830604579439848 absolute error = 1.70441438740454e-12 relative error = 6.021379318692415e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.880137007764219 y[1] (closed_form) = 2.819000849429889 y[1] (numeric) = 2.819000849428157 absolute error = 1.732392007625094e-12 relative error = 6.145411442410353e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.890063858493457 y[1] (closed_form) = 2.807515763525301 y[1] (numeric) = 2.807515763523539 absolute error = 1.761701895475198e-12 relative error = 6.274949257143581e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.899990709222696 y[1] (closed_form) = 2.79595110376073 y[1] (numeric) = 2.795951103758941 absolute error = 1.789235426485902e-12 relative error = 6.399380246955207e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.910091715227885 y[1] (closed_form) = 2.784103051713766 y[1] (numeric) = 2.784103051711948 absolute error = 1.817213046706456e-12 relative error = 6.527104108405268e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.920018565957124 y[1] (closed_form) = 2.772381325132624 y[1] (numeric) = 2.772381325130779 absolute error = 1.84519066692701e-12 relative error = 6.655616419717229e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.930119571962313 y[1] (closed_form) = 2.760375834883999 y[1] (numeric) = 2.760375834882124 absolute error = 1.874944643986964e-12 relative error = 6.792352766940362e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.940046422691552 y[1] (closed_form) = 2.748501743090017 y[1] (numeric) = 2.748501743088114 absolute error = 1.903366353417368e-12 relative error = 6.925105134834293e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.950147428696742 y[1] (closed_form) = 2.736343630061532 y[1] (numeric) = 2.736343630059598 absolute error = 1.933120330477323e-12 relative error = 7.064610998560341e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.96007427942598 y[1] (closed_form) = 2.724321935772374 y[1] (numeric) = 2.724321935770413 absolute error = 1.961542039907727e-12 relative error = 7.200111022677679e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.970001130155218 y[1] (closed_form) = 2.712228865672486 y[1] (numeric) = 2.712228865670496 absolute error = 1.989963749338131e-12 relative error = 7.337005274607339e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.980102136160408 y[1] (closed_form) = 2.699851601740013 y[1] (numeric) = 2.699851601737993 absolute error = 2.020161815607935e-12 relative error = 7.482492053659435e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.990028986889646 y[1] (closed_form) = 2.687618162411014 y[1] (numeric) = 2.687618162408967 absolute error = 2.046807168198939e-12 relative error = 7.615691830132538e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.000129992894836 y[1] (closed_form) = 2.67510055608399 y[1] (numeric) = 2.675100556081914 absolute error = 2.076561145258893e-12 relative error = 7.762553600223224e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.010056843624074 y[1] (closed_form) = 2.662731654378431 y[1] (numeric) = 2.662731654376324 absolute error = 2.106759211528697e-12 relative error = 7.912022257535688e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.019983694353312 y[1] (closed_form) = 2.650297446064314 y[1] (numeric) = 2.650297446062177 absolute error = 2.137845456218201e-12 relative error = 8.066435936814929e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.030084700358502 y[1] (closed_form) = 2.637579323593868 y[1] (numeric) = 2.6375793235917 absolute error = 2.168043522488006e-12 relative error = 8.219823013830386e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.040011551087741 y[1] (closed_form) = 2.62501709263974 y[1] (numeric) = 2.625017092637542 absolute error = 2.19779749954796e-12 relative error = 8.372507385610338e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.05011255709293 y[1] (closed_form) = 2.612171258698396 y[1] (numeric) = 2.612171258696168 absolute error = 2.228439655027614e-12 relative error = 8.530986043150979e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.060039407822169 y[1] (closed_form) = 2.599486043835666 y[1] (numeric) = 2.599486043833407 absolute error = 2.259525899717119e-12 relative error = 8.692202464695981e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.070140413827358 y[1] (closed_form) = 2.586517650908458 y[1] (numeric) = 2.586517650906168 absolute error = 2.289279876777073e-12 relative error = 8.850818690423448e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.080067264556597 y[1] (closed_form) = 2.573714540197584 y[1] (numeric) = 2.573714540195264 absolute error = 2.320366121466577e-12 relative error = 9.015631241250408e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.089994115285835 y[1] (closed_form) = 2.560854894763112 y[1] (numeric) = 2.56085489476076 absolute error = 2.352340544575782e-12 relative error = 9.185762728635123e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.100095121291025 y[1] (closed_form) = 2.54771291871781 y[1] (numeric) = 2.547712918715426 absolute error = 2.384314967684986e-12 relative error = 9.358648496726792e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.110021972020263 y[1] (closed_form) = 2.534743075024113 y[1] (numeric) = 2.534743075021697 absolute error = 2.415401212374491e-12 relative error = 9.52917570295172e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.120122978025453 y[1] (closed_form) = 2.521491608689304 y[1] (numeric) = 2.521491608686857 absolute error = 2.447375635483695e-12 relative error = 9.706062978951831e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.130049828754691 y[1] (closed_form) = 2.508416768961928 y[1] (numeric) = 2.50841676895945 absolute error = 2.478017790963349e-12 relative error = 9.878812092253876e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.140150834759881 y[1] (closed_form) = 2.495061127522464 y[1] (numeric) = 2.495061127519953 absolute error = 2.511324481702104e-12 relative error = 1.006518218732296e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.150077685489119 y[1] (closed_form) = 2.481886536101038 y[1] (numeric) = 2.481886536098491 absolute error = 2.547739796909809e-12 relative error = 1.026533550124424e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.160004536218358 y[1] (closed_form) = 2.46866445883044 y[1] (numeric) = 2.468664458827861 absolute error = 2.579270130809164e-12 relative error = 1.044803849945296e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.170105542223547 y[1] (closed_form) = 2.455163017761294 y[1] (numeric) = 2.455163017758682 absolute error = 2.612132732338068e-12 relative error = 1.063934538538262e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.180032392952786 y[1] (closed_form) = 2.441849106523926 y[1] (numeric) = 2.441849106521281 absolute error = 2.645439423076823e-12 relative error = 1.083375469847404e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.190133398957975 y[1] (closed_form) = 2.428256932789668 y[1] (numeric) = 2.428256932786989 absolute error = 2.679190203025428e-12 relative error = 1.103338846415844e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.200060249687214 y[1] (closed_form) = 2.414856527817133 y[1] (numeric) = 2.414856527814421 absolute error = 2.712496893764182e-12 relative error = 1.123253850702301e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.209987100416452 y[1] (closed_form) = 2.401415242236753 y[1] (numeric) = 2.401415242234006 absolute error = 2.746691762922637e-12 relative error = 1.143780431894104e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.220088106421642 y[1] (closed_form) = 2.387697549477588 y[1] (numeric) = 2.38769754947481 absolute error = 2.778666186031842e-12 relative error = 1.163742948364542e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.23001495715088 y[1] (closed_form) = 2.374177821374412 y[1] (numeric) = 2.3741778213716 absolute error = 2.812416965980447e-12 relative error = 1.18458564504336e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.24011596315607 y[1] (closed_form) = 2.360383065015985 y[1] (numeric) = 2.360383065013138 absolute error = 2.847500013558601e-12 relative error = 1.206371989259853e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.250042813885308 y[1] (closed_form) = 2.346790317175098 y[1] (numeric) = 2.346790317172216 absolute error = 2.881250793507206e-12 relative error = 1.22774104376545e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.260143819890498 y[1] (closed_form) = 2.332924030316775 y[1] (numeric) = 2.332924030313861 absolute error = 2.914557484245961e-12 relative error = 1.249315214027869e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.270070670619736 y[1] (closed_form) = 2.319263714811598 y[1] (numeric) = 2.319263714808649 absolute error = 2.948752353404416e-12 relative error = 1.27141744794811e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.279997521348974 y[1] (closed_form) = 2.305571938563129 y[1] (numeric) = 2.305571938560147 absolute error = 2.98205904414317e-12 relative error = 1.293414009020963e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.290098527354164 y[1] (closed_form) = 2.291609055249203 y[1] (numeric) = 2.291609055246185 absolute error = 3.018030270141026e-12 relative error = 1.316991771885291e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.300025378083403 y[1] (closed_form) = 2.277857915644554 y[1] (numeric) = 2.277857915641504 absolute error = 3.04956060404038e-12 relative error = 1.338784382948425e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.310126384088592 y[1] (closed_form) = 2.263837430817155 y[1] (numeric) = 2.263837430814071 absolute error = 3.084643651618535e-12 relative error = 1.362572952292383e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.320053234817831 y[1] (closed_form) = 2.250032443460944 y[1] (numeric) = 2.250032443457824 absolute error = 3.12017078840654e-12 relative error = 1.386722577034121e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.33015424082302 y[1] (closed_form) = 2.2359599807595 y[1] (numeric) = 2.235959980756346 absolute error = 3.153921568355145e-12 relative error = 1.410544730448993e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.340081091552259 y[1] (closed_form) = 2.222106682854764 y[1] (numeric) = 2.222106682851578 absolute error = 3.186340080674199e-12 relative error = 1.433927590092423e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.350007942281497 y[1] (closed_form) = 2.20823149821186 y[1] (numeric) = 2.20823149820864 absolute error = 3.220090860622804e-12 relative error = 1.458221596436021e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.360108948286687 y[1] (closed_form) = 2.194091834894328 y[1] (numeric) = 2.194091834891073 absolute error = 3.254729818991109e-12 relative error = 1.483406376719807e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.370035799015925 y[1] (closed_form) = 2.180176656910093 y[1] (numeric) = 2.180176656906805 absolute error = 3.288036509729864e-12 relative error = 1.508151414844479e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.380136805021115 y[1] (closed_form) = 2.165999136381037 y[1] (numeric) = 2.165999136377713 absolute error = 3.323563646517869e-12 relative error = 1.534425194679854e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.390063655750353 y[1] (closed_form) = 2.152049546456149 y[1] (numeric) = 2.152049546452791 absolute error = 3.357758515676323e-12 relative error = 1.560260785447833e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.399990506479591 y[1] (closed_form) = 2.138084973332336 y[1] (numeric) = 2.138084973328942 absolute error = 3.393729741674179e-12 relative error = 1.587275428246822e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.410091512484781 y[1] (closed_form) = 2.123861448680097 y[1] (numeric) = 2.123861448676668 absolute error = 3.429256878462184e-12 relative error = 1.614633045198566e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.42001836321402 y[1] (closed_form) = 2.109870836518017 y[1] (numeric) = 2.109870836514554 absolute error = 3.463895836830488e-12 relative error = 1.641757294748459e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.430119369219209 y[1] (closed_form) = 2.095623669874123 y[1] (numeric) = 2.095623669870624 absolute error = 3.498978884408643e-12 relative error = 1.669659936900224e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.440046219948448 y[1] (closed_form) = 2.081612630331228 y[1] (numeric) = 2.081612630327695 absolute error = 3.533617842776948e-12 relative error = 1.697538625241083e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.450147225953637 y[1] (closed_form) = 2.067347536257551 y[1] (numeric) = 2.067347536253985 absolute error = 3.566480444305853e-12 relative error = 1.725147988790569e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.460074076682876 y[1] (closed_form) = 2.053321689184749 y[1] (numeric) = 2.053321689181149 absolute error = 3.599787135044608e-12 relative error = 1.753153027119617e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.470000927412114 y[1] (closed_form) = 2.039290587709717 y[1] (numeric) = 2.039290587706082 absolute error = 3.635314271832613e-12 relative error = 1.782636713836528e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.480101933417304 y[1] (closed_form) = 2.025009360621409 y[1] (numeric) = 2.025009360617739 absolute error = 3.670397319410768e-12 relative error = 1.812533507639907e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.490028784146542 y[1] (closed_form) = 2.010971867347618 y[1] (numeric) = 2.010971867343911 absolute error = 3.706812634618473e-12 relative error = 1.843294127981806e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.500129790151732 y[1] (closed_form) = 1.996687000762564 y[1] (numeric) = 1.996687000758823 absolute error = 3.740785459172002e-12 relative error = 1.873496175286032e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.51005664088097 y[1] (closed_form) = 1.982648746151556 y[1] (numeric) = 1.982648746147781 absolute error = 3.774980328330457e-12 relative error = 1.904008632723233e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.519983491610208 y[1] (closed_form) = 1.968612201360105 y[1] (numeric) = 1.968612201356296 absolute error = 3.808953152883987e-12 relative error = 1.934841788673462e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.530084497615398 y[1] (closed_form) = 1.954332584571831 y[1] (numeric) = 1.954332584567987 absolute error = 3.843592111252292e-12 relative error = 1.966703181226635e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.540011348344636 y[1] (closed_form) = 1.940303699528706 y[1] (numeric) = 1.940303699524829 absolute error = 3.877564935805822e-12 relative error = 1.998431965443178e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.550112354349826 y[1] (closed_form) = 1.926034740267227 y[1] (numeric) = 1.926034740263315 absolute error = 3.912203894174127e-12 relative error = 2.031221873823174e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.560039205079065 y[1] (closed_form) = 1.912019141981196 y[1] (numeric) = 1.91201914197725 absolute error = 3.946398763332581e-12 relative error = 2.063995425926229e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.570140211084254 y[1] (closed_form) = 1.89776656354944 y[1] (numeric) = 1.897766563545459 absolute error = 3.981037721700886e-12 relative error = 2.097748900294171e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.580067061813493 y[1] (closed_form) = 1.883769873699931 y[1] (numeric) = 1.883769873695916 absolute error = 4.014788501649491e-12 relative error = 2.131252101279232e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.589993912542731 y[1] (closed_form) = 1.869784637347942 y[1] (numeric) = 1.869784637343893 absolute error = 4.049427460017796e-12 relative error = 2.165718649695083e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.600094918547921 y[1] (closed_form) = 1.855567225512683 y[1] (numeric) = 1.8555672255086 absolute error = 4.083400284571326e-12 relative error = 2.200621043758252e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.610021769277159 y[1] (closed_form) = 1.841609290825279 y[1] (numeric) = 1.841609290821162 absolute error = 4.117373109124856e-12 relative error = 2.235747359462842e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.620122775282349 y[1] (closed_form) = 1.827422509547833 y[1] (numeric) = 1.82742250954368 absolute error = 4.152234112098085e-12 relative error = 2.272180675461578e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.630049626011587 y[1] (closed_form) = 1.813497475075475 y[1] (numeric) = 1.81349747507129 absolute error = 4.18509671362699e-12 relative error = 2.307748850575495e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.640150632016777 y[1] (closed_form) = 1.799347014697046 y[1] (numeric) = 1.799347014692826 absolute error = 4.219735671995295e-12 relative error = 2.34514834410958e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.650077482746015 y[1] (closed_form) = 1.785460465793869 y[1] (numeric) = 1.785460465789616 absolute error = 4.253264407338975e-12 relative error = 2.382166667268012e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.660004333475253 y[1] (closed_form) = 1.771595057950256 y[1] (numeric) = 1.771595057945969 absolute error = 4.287015187287579e-12 relative error = 2.419861789548948e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.670105339480443 y[1] (closed_form) = 1.757509508670802 y[1] (numeric) = 1.75750950866648 absolute error = 4.321876190260809e-12 relative error = 2.459091213412227e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.680032190209682 y[1] (closed_form) = 1.743690910644689 y[1] (numeric) = 1.743690910640333 absolute error = 4.356293104024189e-12 relative error = 2.498317263358075e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.690133196214871 y[1] (closed_form) = 1.729655814880953 y[1] (numeric) = 1.729655814876562 absolute error = 4.390487973182644e-12 relative error = 2.538359328722766e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.70006004694411 y[1] (closed_form) = 1.71588956933464 y[1] (numeric) = 1.715889569330215 absolute error = 4.424682842341099e-12 relative error = 2.578652450260439e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.709986897673348 y[1] (closed_form) = 1.702151320472295 y[1] (numeric) = 1.702151320467836 absolute error = 4.458211577684779e-12 relative error = 2.619162893489259e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.720087903678538 y[1] (closed_form) = 1.688202185183642 y[1] (numeric) = 1.68820218517915 absolute error = 4.492406446843233e-12 relative error = 2.661059490545885e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.730014754407776 y[1] (closed_form) = 1.674524538822652 y[1] (numeric) = 1.674524538818128 absolute error = 4.524602914557363e-12 relative error = 2.702022460500091e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.740115760412966 y[1] (closed_form) = 1.660639863646823 y[1] (numeric) = 1.660639863642265 absolute error = 4.558353694505968e-12 relative error = 2.744938137577683e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.750042611142204 y[1] (closed_form) = 1.647028305913546 y[1] (numeric) = 1.647028305908955 absolute error = 4.591216296034872e-12 relative error = 2.787575829480535e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.760143617147394 y[1] (closed_form) = 1.633213660016493 y[1] (numeric) = 1.633213660011868 absolute error = 4.624522986773627e-12 relative error = 2.831548069912009e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.770070467876632 y[1] (closed_form) = 1.619673650529028 y[1] (numeric) = 1.61967365052437 absolute error = 4.657607632907457e-12 relative error = 2.87564573973662e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.77999731860587 y[1] (closed_form) = 1.606171118991898 y[1] (numeric) = 1.606171118987206 absolute error = 4.692024546670837e-12 relative error = 2.921248235129363e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.79009832461106 y[1] (closed_form) = 1.592471544666173 y[1] (numeric) = 1.592471544661449 absolute error = 4.724221014384966e-12 relative error = 2.966596816256014e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.800025175340298 y[1] (closed_form) = 1.57904867283268 y[1] (numeric) = 1.579048672827923 absolute error = 4.757083615913871e-12 relative error = 3.012626334931187e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.810126181345488 y[1] (closed_form) = 1.565432899134195 y[1] (numeric) = 1.565432899129406 absolute error = 4.789946217442775e-12 relative error = 3.05982212338324e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.820053032074727 y[1] (closed_form) = 1.552095070940215 y[1] (numeric) = 1.552095070935392 absolute error = 4.82236472976183e-12 relative error = 3.107003443313933e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.830154038079916 y[1] (closed_form) = 1.538568559178101 y[1] (numeric) = 1.538568559173245 absolute error = 4.85544937589566e-12 relative error = 3.15582256437726e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.840080888809155 y[1] (closed_form) = 1.525321124448365 y[1] (numeric) = 1.525321124443478 absolute error = 4.887201754399939e-12 relative error = 3.204047774639851e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.850007739538393 y[1] (closed_form) = 1.512120465313716 y[1] (numeric) = 1.512120465308797 absolute error = 4.918954132904219e-12 relative error = 3.253017365837778e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.860108745543583 y[1] (closed_form) = 1.49873757243092 y[1] (numeric) = 1.498737572425968 absolute error = 4.951372645223273e-12 relative error = 3.303695547708366e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.870035596272821 y[1] (closed_form) = 1.485635239912867 y[1] (numeric) = 1.485635239907884 absolute error = 4.983125023727553e-12 relative error = 3.354204915077146e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.880136602278011 y[1] (closed_form) = 1.47235507759413 y[1] (numeric) = 1.472355077589115 absolute error = 5.015099446836757e-12 relative error = 3.40617526516197e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.890063453007249 y[1] (closed_form) = 1.459356327059705 y[1] (numeric) = 1.459356327054658 absolute error = 5.047295914550887e-12 relative error = 3.458576785506609e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.899990303736487 y[1] (closed_form) = 1.446410852394155 y[1] (numeric) = 1.446410852389075 absolute error = 5.079714426869941e-12 relative error = 3.511944354165901e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.910091309741677 y[1] (closed_form) = 1.433294267269216 y[1] (numeric) = 1.433294267264104 absolute error = 5.111910894584071e-12 relative error = 3.566546668970873e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.920018160470915 y[1] (closed_form) = 1.420460156603352 y[1] (numeric) = 1.420460156598209 absolute error = 5.1432191838785e-12 relative error = 3.620812002342343e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.930119166476105 y[1] (closed_form) = 1.407459514076265 y[1] (numeric) = 1.40745951407109 absolute error = 5.17452747317293e-12 relative error = 3.676501825751658e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.940046017205344 y[1] (closed_form) = 1.394741915192894 y[1] (numeric) = 1.394741915187688 absolute error = 5.206057807072284e-12 relative error = 3.732631643433675e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.950147023210533 y[1] (closed_form) = 1.381862429842669 y[1] (numeric) = 1.381862429837432 absolute error = 5.236699962551938e-12 relative error = 3.789595729256609e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.960073873939772 y[1] (closed_form) = 1.369266443791533 y[1] (numeric) = 1.369266443786265 absolute error = 5.267564162636518e-12 relative error = 3.846997190737036e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.97000072466901 y[1] (closed_form) = 1.356732611206564 y[1] (numeric) = 1.356732611201266 absolute error = 5.298428362721097e-12 relative error = 3.905285624415794e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.9801017306742 y[1] (closed_form) = 1.34404396065257 y[1] (numeric) = 1.344043960647241 absolute error = 5.329070518200751e-12 relative error = 3.964952541889584e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 5.990028581403438 y[1] (closed_form) = 1.33163927863321 y[1] (numeric) = 1.33163927862785 absolute error = 5.359934718285331e-12 relative error = 4.025065048987404e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.000129587408628 y[1] (closed_form) = 1.319084582555301 y[1] (numeric) = 1.319084582549911 absolute error = 5.38991073995021e-12 relative error = 4.086099414117171e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.010056438137866 y[1] (closed_form) = 1.306814026639824 y[1] (numeric) = 1.306814026634404 absolute error = 5.419442672405239e-12 relative error = 4.147064970170323e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.019983288867104 y[1] (closed_form) = 1.294611778348888 y[1] (numeric) = 1.294611778343438 absolute error = 5.449196649465193e-12 relative error = 4.209135696583071e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.030084294872294 y[1] (closed_form) = 1.282266812675639 y[1] (numeric) = 1.28226681267016 absolute error = 5.478506537315297e-12 relative error = 4.272516829694426e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.040011145601532 y[1] (closed_form) = 1.270206031149324 y[1] (numeric) = 1.270206031143815 absolute error = 5.508482558980177e-12 relative error = 4.336684304668214e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.050112151606722 y[1] (closed_form) = 1.25800748266838 y[1] (numeric) = 1.258007482662842 absolute error = 5.537792446830281e-12 relative error = 4.402034584948557e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.06003900233596 y[1] (closed_form) = 1.246093005505908 y[1] (numeric) = 1.246093005500341 absolute error = 5.56688029007546e-12 relative error = 4.467467729517774e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.07014000834115 y[1] (closed_form) = 1.234045767075043 y[1] (numeric) = 1.234045767069446 absolute error = 5.596856311740339e-12 relative error = 4.535371751248825e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.080066859070389 y[1] (closed_form) = 1.222282373192719 y[1] (numeric) = 1.222282373187093 absolute error = 5.625722110380593e-12 relative error = 4.602637028697114e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.089993709799627 y[1] (closed_form) = 1.210595616815614 y[1] (numeric) = 1.21059561680996 absolute error = 5.654143819810997e-12 relative error = 4.670547077217925e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.100094715804817 y[1] (closed_form) = 1.198783684693373 y[1] (numeric) = 1.19878368468769 absolute error = 5.682787573846326e-12 relative error = 4.740461224495127e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.110021566534055 y[1] (closed_form) = 1.1872550455103 y[1] (numeric) = 1.187255045504589 absolute error = 5.71120928327673e-12 relative error = 4.810431680096139e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.120122572539245 y[1] (closed_form) = 1.175606365370313 y[1] (numeric) = 1.175606365364574 absolute error = 5.739186903497284e-12 relative error = 4.881895056505122e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.130049423268483 y[1] (closed_form) = 1.16424046753733 y[1] (numeric) = 1.164240467531562 absolute error = 5.767386568322763e-12 relative error = 4.953776070438678e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.140150429273673 y[1] (closed_form) = 1.152759711684279 y[1] (numeric) = 1.152759711678483 absolute error = 5.795364188543317e-12 relative error = 5.027382662494167e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.150077280002911 y[1] (closed_form) = 1.141561114081621 y[1] (numeric) = 1.141561114075798 absolute error = 5.823119764158946e-12 relative error = 5.101014472487186e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.160004130732149 y[1] (closed_form) = 1.130447108382673 y[1] (numeric) = 1.130447108376824 absolute error = 5.84976511674995e-12 relative error = 5.174735795573123e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.170105136737339 y[1] (closed_form) = 1.119226081868989 y[1] (numeric) = 1.119226081863113 absolute error = 5.876632513945879e-12 relative error = 5.250621486708497e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.180031987466577 y[1] (closed_form) = 1.108286069105038 y[1] (numeric) = 1.108286069099135 absolute error = 5.902833777327032e-12 relative error = 5.326092190343674e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.190132993471767 y[1] (closed_form) = 1.097244329517434 y[1] (numeric) = 1.097244329511504 absolute error = 5.930145263732811e-12 relative error = 5.404580460525939e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.200059844201006 y[1] (closed_form) = 1.086482697745516 y[1] (numeric) = 1.086482697739561 absolute error = 5.95568039329919e-12 relative error = 5.481615497105846e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.209986694930244 y[1] (closed_form) = 1.075811085390166 y[1] (numeric) = 1.075811085384184 absolute error = 5.981659612075418e-12 relative error = 5.560139408589606e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.220087700935434 y[1] (closed_form) = 1.06504573967207 y[1] (numeric) = 1.065045739666062 absolute error = 6.007638830851647e-12 relative error = 5.640733169545763e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.230014551664672 y[1] (closed_form) = 1.054558937248091 y[1] (numeric) = 1.054558937242057 absolute error = 6.033618049627876e-12 relative error = 5.721461206684966e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.240115557669862 y[1] (closed_form) = 1.043983793283691 y[1] (numeric) = 1.043983793277632 absolute error = 6.059597268404104e-12 relative error = 5.804302047012213e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.2500424083991 y[1] (closed_form) = 1.03368600706471 y[1] (numeric) = 1.033686007058626 absolute error = 6.084688308760633e-12 relative error = 5.886399029468262e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.26014341440429 y[1] (closed_form) = 1.023305306561572 y[1] (numeric) = 1.023305306555461 absolute error = 6.110667527536862e-12 relative error = 5.9714998919232e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.270070265133528 y[1] (closed_form) = 1.013200667006507 y[1] (numeric) = 1.013200667000371 absolute error = 6.13531447868354e-12 relative error = 6.055379431214035e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.279997115862766 y[1] (closed_form) = 1.003193268193359 y[1] (numeric) = 1.003193268187199 absolute error = 6.159295296015443e-12 relative error = 6.139689620433419e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.290098121867956 y[1] (closed_form) = 0.9931111337769275 y[1] (numeric) = 0.9931111337707432 absolute error = 6.184275314069509e-12 relative error = 6.227173479114997e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.300024972597194 y[1] (closed_form) = 0.9833029142690379 y[1] (numeric) = 0.9833029142628302 absolute error = 6.2077010198891e-12 relative error = 6.313111585257271e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.310125978602384 y[1] (closed_form) = 0.9734254653206537 y[1] (numeric) = 0.9734254653144224 absolute error = 6.231237748011154e-12 relative error = 6.401350663205155e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.320052829331622 y[1] (closed_form) = 0.9638203592109307 y[1] (numeric) = 0.9638203592046759 absolute error = 6.254774476133207e-12 relative error = 6.489564591947324e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.330153835336812 y[1] (closed_form) = 0.9541515575915438 y[1] (numeric) = 0.9541515575852654 absolute error = 6.278422226557723e-12 relative error = 6.580110021939942e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.340080686066051 y[1] (closed_form) = 0.9447534175037794 y[1] (numeric) = 0.9447534174974778 absolute error = 6.301625887772389e-12 relative error = 6.670127644970577e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.350007536795289 y[1] (closed_form) = 0.9354592630564147 y[1] (numeric) = 0.9354592630500904 absolute error = 6.324274437474742e-12 relative error = 6.760609133113415e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.360108542800479 y[1] (closed_form) = 0.9261097369291293 y[1] (numeric) = 0.926109736922782 absolute error = 6.347367076386945e-12 relative error = 6.853795855158661e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.370035393529717 y[1] (closed_form) = 0.9170281552904015 y[1] (numeric) = 0.9170281552840318 absolute error = 6.369682559181911e-12 relative error = 6.946005444254632e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.380136399534907 y[1] (closed_form) = 0.9078967954977943 y[1] (numeric) = 0.9078967954914022 absolute error = 6.392109064279339e-12 relative error = 7.040567932365686e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.390063250264145 y[1] (closed_form) = 0.8990314293049716 y[1] (numeric) = 0.8990314292985581 absolute error = 6.413536368654604e-12 relative error = 7.133828873605473e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.399990100993383 y[1] (closed_form) = 0.8902745542684178 y[1] (numeric) = 0.8902745542619833 absolute error = 6.43451958382002e-12 relative error = 7.227567667715247e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.410091106998573 y[1] (closed_form) = 0.8814763036163926 y[1] (numeric) = 0.8814763036099367 absolute error = 6.455946888195285e-12 relative error = 7.324016382186074e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.420017957727811 y[1] (closed_form) = 0.8729409298480484 y[1] (numeric) = 0.8729409298415712 absolute error = 6.477152147965626e-12 relative error = 7.419920325070672e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.430118963733001 y[1] (closed_form) = 0.8643698196143299 y[1] (numeric) = 0.8643698196078319 absolute error = 6.498024340828579e-12 relative error = 7.517643713807487e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.440045814462239 y[1] (closed_form) = 0.8560593706665925 y[1] (numeric) = 0.8560593706600742 absolute error = 6.518341422179219e-12 relative error = 7.614356720496554e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.450146820467429 y[1] (closed_form) = 0.8477188387375328 y[1] (numeric) = 0.8477188387309942 absolute error = 6.538658503529859e-12 relative error = 7.713239584562697e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.460073671196668 y[1] (closed_form) = 0.8396366479450861 y[1] (numeric) = 0.8396366479385275 absolute error = 6.55853149567065e-12 relative error = 7.81115439841972e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.470000521925906 y[1] (closed_form) = 0.8316688011630926 y[1] (numeric) = 0.8316688011565145 absolute error = 6.578071420904053e-12 relative error = 7.909484414594595e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.480101527931096 y[1] (closed_form) = 0.8236793488645094 y[1] (numeric) = 0.8236793488579121 absolute error = 6.59738930153253e-12 relative error = 8.009657290336853e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.490028378660334 y[1] (closed_form) = 0.8159445744748544 y[1] (numeric) = 0.815944574468238 absolute error = 6.61637411525362e-12 relative error = 8.108852392960575e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.500129384665524 y[1] (closed_form) = 0.8081938739236587 y[1] (numeric) = 0.8081938739170235 absolute error = 6.635247906672248e-12 relative error = 8.209970553796858e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.510056235394762 y[1] (closed_form) = 0.8006952743570174 y[1] (numeric) = 0.8006952743503636 absolute error = 6.653788631183488e-12 relative error = 8.310013614763348e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.519983086124 y[1] (closed_form) = 0.7933148561443826 y[1] (numeric) = 0.7933148561377108 absolute error = 6.671774244182416e-12 relative error = 8.409995341078245e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.53008409212919 y[1] (closed_form) = 0.7859270173288339 y[1] (numeric) = 0.7859270173221444 absolute error = 6.689426790273956e-12 relative error = 8.511511428897834e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.540010942858428 y[1] (closed_form) = 0.7787872369268098 y[1] (numeric) = 0.7787872369201031 absolute error = 6.706746269458108e-12 relative error = 8.611782463107323e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.550111948863618 y[1] (closed_form) = 0.7716457269623851 y[1] (numeric) = 0.7716457269556606 absolute error = 6.724509837852111e-12 relative error = 8.714504082493165e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.560038799592856 y[1] (closed_form) = 0.7647494481485846 y[1] (numeric) = 0.7647494481418433 absolute error = 6.741274205523951e-12 relative error = 8.815010225694436e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.570139805598046 y[1] (closed_form) = 0.7578571315066267 y[1] (numeric) = 0.7578571314998687 absolute error = 6.75803857319579e-12 relative error = 8.917298910628115e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.580066656327284 y[1] (closed_form) = 0.7512071203897766 y[1] (numeric) = 0.751207120383002 absolute error = 6.774580896262705e-12 relative error = 9.018259694806406e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.589993507056523 y[1] (closed_form) = 0.7446801672666377 y[1] (numeric) = 0.7446801672598472 absolute error = 6.790457085514845e-12 relative error = 9.118622173649855e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.600094513061713 y[1] (closed_form) = 0.7381656855002288 y[1] (numeric) = 0.7381656854934224 absolute error = 6.806333274766985e-12 relative error = 9.220603732283455e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.610021363790951 y[1] (closed_form) = 0.7318889525276797 y[1] (numeric) = 0.7318889525208581 absolute error = 6.821654352506812e-12 relative error = 9.320613911369047e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.620122369796141 y[1] (closed_form) = 0.7256303744208352 y[1] (numeric) = 0.7256303744139986 absolute error = 6.836642363339251e-12 relative error = 9.421659572610841e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.630049220525379 y[1] (closed_form) = 0.7196063792067502 y[1] (numeric) = 0.7196063791998989 absolute error = 6.851297307264304e-12 relative error = 9.52089573582818e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.640150226530569 y[1] (closed_form) = 0.7136062150853992 y[1] (numeric) = 0.7136062150785333 absolute error = 6.865952251189356e-12 relative error = 9.62148606058271e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.650077077259807 y[1] (closed_form) = 0.707837373864125 y[1] (numeric) = 0.7078373738572448 absolute error = 6.88027412820702e-12 relative error = 9.720134005706999e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.660003927989045 y[1] (closed_form) = 0.7021958643588768 y[1] (numeric) = 0.7021958643519827 absolute error = 6.894151916014835e-12 relative error = 9.817989916971919e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.670104933994235 y[1] (closed_form) = 0.6965866570671221 y[1] (numeric) = 0.6965866570602143 absolute error = 6.907807659217724e-12 relative error = 9.916652277409468e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.680031784723473 y[1] (closed_form) = 0.691203724109488 y[1] (numeric) = 0.6912037241025675 absolute error = 6.920575224000913e-12 relative error = 1.001235233927166e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.690132790728663 y[1] (closed_form) = 0.6858587414966748 y[1] (numeric) = 0.6858587414897418 absolute error = 6.933009721876715e-12 relative error = 1.01085096717548e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.700059641457901 y[1] (closed_form) = 0.6807365441898803 y[1] (numeric) = 0.6807365441829352 absolute error = 6.945111152845129e-12 relative error = 1.020234804804001e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.70998649218714 y[1] (closed_form) = 0.6757443491570415 y[1] (numeric) = 0.6757443491500844 absolute error = 6.957101561511081e-12 relative error = 1.029546391351956e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.72008749819233 y[1] (closed_form) = 0.6707985230030624 y[1] (numeric) = 0.6707985229960928 absolute error = 6.969647081689345e-12 relative error = 1.039007517560906e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.730014348921568 y[1] (closed_form) = 0.666070097450865 y[1] (numeric) = 0.666070097443884 absolute error = 6.980971356540522e-12 relative error = 1.048083585084751e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.740115354926758 y[1] (closed_form) = 0.6613936467056084 y[1] (numeric) = 0.6613936466986156 absolute error = 6.992850742904011e-12 relative error = 1.057290280566693e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.750042205655996 y[1] (closed_form) = 0.6569308872132855 y[1] (numeric) = 0.6569308872062822 absolute error = 7.003286839335487e-12 relative error = 1.06606143441414e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.760143211661186 y[1] (closed_form) = 0.6525256876088044 y[1] (numeric) = 0.6525256876017905 absolute error = 7.013833958069426e-12 relative error = 1.074874766045117e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.770070062390424 y[1] (closed_form) = 0.6483303841964976 y[1] (numeric) = 0.6483303841894736 absolute error = 7.023936987593515e-12 relative error = 1.08338852517279e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.779996913119662 y[1] (closed_form) = 0.6442682764115828 y[1] (numeric) = 0.6442682764045485 absolute error = 7.034262061722529e-12 relative error = 1.091821888375702e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.790097919124852 y[1] (closed_form) = 0.6402720380763471 y[1] (numeric) = 0.6402720380693037 absolute error = 7.043476912826918e-12 relative error = 1.100075670021223e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.80002476985409 y[1] (closed_form) = 0.636479863196485 y[1] (numeric) = 0.6364798631894323 absolute error = 7.052691763931307e-12 relative error = 1.108077752611334e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.81012577585928 y[1] (closed_form) = 0.6327590810686605 y[1] (numeric) = 0.6327590810615989 absolute error = 7.061573548128308e-12 relative error = 1.115997187460682e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.820052626588518 y[1] (closed_form) = 0.6292383601414057 y[1] (numeric) = 0.629238360134336 absolute error = 7.069678176208072e-12 relative error = 1.123529432410849e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.830153632593708 y[1] (closed_form) = 0.6257945266327978 y[1] (numeric) = 0.6257945266257192 absolute error = 7.078559960405073e-12 relative error = 1.131131650909854e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.840080483322946 y[1] (closed_form) = 0.6225466718250811 y[1] (numeric) = 0.6225466718179945 absolute error = 7.086553566182374e-12 relative error = 1.138316834207333e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.850007334052185 y[1] (closed_form) = 0.6194345534118972 y[1] (numeric) = 0.6194345534048031 absolute error = 7.094103082749825e-12 relative error = 1.145254659055572e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.860108340057375 y[1] (closed_form) = 0.6164074822946537 y[1] (numeric) = 0.6164074822875524 absolute error = 7.101319532409889e-12 relative error = 1.152049534826271e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.870035190786613 y[1] (closed_form) = 0.6135701376861803 y[1] (numeric) = 0.613570137679072 absolute error = 7.108313937465027e-12 relative error = 1.158516932435959e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.880136196791803 y[1] (closed_form) = 0.6108232539890992 y[1] (numeric) = 0.610823253981984 absolute error = 7.115197320217703e-12 relative error = 1.164853707476023e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.890063047521041 y[1] (closed_form) = 0.6082618212489058 y[1] (numeric) = 0.6082618212417847 absolute error = 7.121081502248217e-12 relative error = 1.170726363792971e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.899989898250279 y[1] (closed_form) = 0.6058375325546511 y[1] (numeric) = 0.6058375325475241 absolute error = 7.12696568427873e-12 relative error = 1.17638233046181e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.910090904255469 y[1] (closed_form) = 0.6035117332744904 y[1] (numeric) = 0.6035117332673579 absolute error = 7.132516799401856e-12 relative error = 1.181835647287711e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.920017754984707 y[1] (closed_form) = 0.6013648519244438 y[1] (numeric) = 0.6013648519173065 absolute error = 7.137290758407744e-12 relative error = 1.186848671911487e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.930118760989897 y[1] (closed_form) = 0.5993217790309998 y[1] (numeric) = 0.5993217790238579 absolute error = 7.14195369511117e-12 relative error = 1.191672644811687e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.940045611719135 y[1] (closed_form) = 0.597453166142787 y[1] (numeric) = 0.5974531661356401 absolute error = 7.14683867641952e-12 relative error = 1.196217390989853e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.950146617724325 y[1] (closed_form) = 0.5956936391159441 y[1] (numeric) = 0.595693639108793 absolute error = 7.151057523913096e-12 relative error = 1.20045893632939e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.960073468453563 y[1] (closed_form) = 0.5941040441932547 y[1] (numeric) = 0.5941040441860996 absolute error = 7.155054326801746e-12 relative error = 1.204343649354842e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.970000319182802 y[1] (closed_form) = 0.5926529884458872 y[1] (numeric) = 0.592652988438729 absolute error = 7.158162951270697e-12 relative error = 1.207816899741202e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.980101325187992 y[1] (closed_form) = 0.5913188294141457 y[1] (numeric) = 0.5913188294069843 absolute error = 7.16138259804211e-12 relative error = 1.211086514044769e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 6.99002817591723 y[1] (closed_form) = 0.5901477036808275 y[1] (numeric) = 0.5901477036736632 absolute error = 7.164269177906135e-12 relative error = 1.213978997668154e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.00012918192242 y[1] (closed_form) = 0.5890986389596696 y[1] (numeric) = 0.5890986389525027 absolute error = 7.166933713165236e-12 relative error = 1.216593154216384e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.010056032651658 y[1] (closed_form) = 0.58820791298085 y[1] (numeric) = 0.5882079129736808 absolute error = 7.169154159214486e-12 relative error = 1.218812940289004e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.019982883380896 y[1] (closed_form) = 0.5874563071912976 y[1] (numeric) = 0.5874563071841261 absolute error = 7.171485627566199e-12 relative error = 1.220769194198284e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.030083889386086 y[1] (closed_form) = 0.5868343943991821 y[1] (numeric) = 0.5868343943920092 absolute error = 7.172817895195749e-12 relative error = 1.22228996181103e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.040010740115324 y[1] (closed_form) = 0.5863636809844357 y[1] (numeric) = 0.5863636809772617 absolute error = 7.174039140522837e-12 relative error = 1.223479450241268e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.050111746120514 y[1] (closed_form) = 0.5860276988563758 y[1] (numeric) = 0.5860276988492015 absolute error = 7.174372207430224e-12 relative error = 1.224237731668811e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.060038596849752 y[1] (closed_form) = 0.5858380666203573 y[1] (numeric) = 0.5858380666131823 absolute error = 7.175038341244999e-12 relative error = 1.224747716145708e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.070139602854942 y[1] (closed_form) = 0.5857881499193353 y[1] (numeric) = 0.5857881499121601 absolute error = 7.175149363547462e-12 relative error = 1.224871033074927e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.08006645358418 y[1] (closed_form) = 0.5858796749238449 y[1] (numeric) = 0.58587967491667 absolute error = 7.174816296640074e-12 relative error = 1.224622837030946e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.089993304313419 y[1] (closed_form) = 0.5861105495458226 y[1] (numeric) = 0.5861105495386484 absolute error = 7.174261185127762e-12 relative error = 1.224045735175233e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.100094310318608 y[1] (closed_form) = 0.5864884892057394 y[1] (numeric) = 0.5864884891985663 absolute error = 7.173039939800674e-12 relative error = 1.223048716525514e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.110021161047847 y[1] (closed_form) = 0.5870004243639094 y[1] (numeric) = 0.5870004243567376 absolute error = 7.171818694473586e-12 relative error = 1.221774022096351e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.120122167053037 y[1] (closed_form) = 0.5876642652696352 y[1] (numeric) = 0.5876642652624652 absolute error = 7.170042337634186e-12 relative error = 1.220091600149345e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.130049017782275 y[1] (closed_form) = 0.5884570556259673 y[1] (numeric) = 0.5884570556187995 absolute error = 7.167821891584936e-12 relative error = 1.218070515606311e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.140150023787465 y[1] (closed_form) = 0.589406531509828 y[1] (numeric) = 0.5894065315026625 absolute error = 7.165490423233223e-12 relative error = 1.215712761933271e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.150076874516703 y[1] (closed_form) = 0.5904798590748115 y[1] (numeric) = 0.590479859067649 absolute error = 7.162492821066735e-12 relative error = 1.21299528019283e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.160003725245941 y[1] (closed_form) = 0.5916920829479582 y[1] (numeric) = 0.5916920829407988 absolute error = 7.159384196597784e-12 relative error = 1.209984788190496e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.170104731251131 y[1] (closed_form) = 0.5930680233606657 y[1] (numeric) = 0.5930680233535094 absolute error = 7.156275572128834e-12 relative error = 1.206653417524898e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.180031581980369 y[1] (closed_form) = 0.5945600988872836 y[1] (numeric) = 0.5945600988801311 absolute error = 7.152500813845108e-12 relative error = 1.202990383517323e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.190132587985559 y[1] (closed_form) = 0.5962205103665961 y[1] (numeric) = 0.5962205103594476 absolute error = 7.148504010956458e-12 relative error = 1.198969825201264e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.200059438714797 y[1] (closed_form) = 0.5979918390727472 y[1] (numeric) = 0.5979918390656033 absolute error = 7.143952096555495e-12 relative error = 1.194657122350196e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.209986289444036 y[1] (closed_form) = 0.5999013238448631 y[1] (numeric) = 0.5999013238377239 absolute error = 7.139178137549607e-12 relative error = 1.190058740293066e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.220087295449225 y[1] (closed_form) = 0.601985927027741 y[1] (numeric) = 0.6019859270206074 absolute error = 7.133627022426481e-12 relative error = 1.185015579624629e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.230014146178464 y[1] (closed_form) = 0.6041735609129023 y[1] (numeric) = 0.6041735609057738 absolute error = 7.128519996513205e-12 relative error = 1.179879501139053e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.240115152183654 y[1] (closed_form) = 0.6065407607170444 y[1] (numeric) = 0.6065407607099218 absolute error = 7.122635814482692e-12 relative error = 1.174304560515011e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.250042002912892 y[1] (closed_form) = 0.6090056662517175 y[1] (numeric) = 0.6090056662446005 absolute error = 7.116973677057103e-12 relative error = 1.16862191461376e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.260143008918082 y[1] (closed_form) = 0.6116545131894051 y[1] (numeric) = 0.6116545131822946 absolute error = 7.110534383514278e-12 relative error = 1.162508283710224e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.27006985964732 y[1] (closed_form) = 0.6143957016959425 y[1] (numeric) = 0.6143957016888385 absolute error = 7.103984067668989e-12 relative error = 1.156255495938458e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.279996710376558 y[1] (closed_form) = 0.6172734298062942 y[1] (numeric) = 0.6172734297991974 absolute error = 7.096767618008926e-12 relative error = 1.149695949206165e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.290097716381748 y[1] (closed_form) = 0.6203415052935335 y[1] (numeric) = 0.6203415052864442 absolute error = 7.089329123743937e-12 relative error = 1.142810703983027e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.300024567110986 y[1] (closed_form) = 0.6234938309718111 y[1] (numeric) = 0.6234938309647292 absolute error = 7.081890629478949e-12 relative error = 1.135839727305839e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.310125573116176 y[1] (closed_form) = 0.6268406921729295 y[1] (numeric) = 0.6268406921658559 absolute error = 7.07356395679426e-12 relative error = 1.128446835873706e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.320052423845414 y[1] (closed_form) = 0.6302663510161404 y[1] (numeric) = 0.6302663510090751 absolute error = 7.065237284109571e-12 relative error = 1.120992303130052e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.330153429850604 y[1] (closed_form) = 0.6338906554996288 y[1] (numeric) = 0.6338906554925721 absolute error = 7.056688566819957e-12 relative error = 1.113234357628749e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.340080280579842 y[1] (closed_form) = 0.6375882734704008 y[1] (numeric) = 0.637588273463353 absolute error = 7.047806782622956e-12 relative error = 1.105385258148124e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.350007131309081 y[1] (closed_form) = 0.641420145612872 y[1] (numeric) = 0.6414201456058342 absolute error = 7.03781477540133e-12 relative error = 1.097223843612949e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.36010813731427 y[1] (closed_form) = 0.6454566614995038 y[1] (numeric) = 0.6454566614924758 absolute error = 7.027933790482166e-12 relative error = 1.088831243007873e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.370034988043509 y[1] (closed_form) = 0.6495582342857111 y[1] (numeric) = 0.6495582342786932 absolute error = 7.01794178326054e-12 relative error = 1.080417645844771e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.380135994048699 y[1] (closed_form) = 0.6538683590801242 y[1] (numeric) = 0.6538683590731166 absolute error = 7.007616709131526e-12 relative error = 1.07171674723487e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.390062844777937 y[1] (closed_form) = 0.6582379873625056 y[1] (numeric) = 0.6582379873555085 absolute error = 6.997069590397587e-12 relative error = 1.062999967296654e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.399989695507175 y[1] (closed_form) = 0.6627398349616447 y[1] (numeric) = 0.6627398349546585 absolute error = 6.98618940475626e-12 relative error = 1.054137541794297e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.410090701512365 y[1] (closed_form) = 0.667455923380081 y[1] (numeric) = 0.6674559233731064 absolute error = 6.974532062997696e-12 relative error = 1.044942717367431e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.420017552241603 y[1] (closed_form) = 0.6722231654605736 y[1] (numeric) = 0.672223165453611 absolute error = 6.962541654331744e-12 relative error = 1.035748544839475e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.430118558246793 y[1] (closed_form) = 0.6772083450092038 y[1] (numeric) = 0.6772083450022531 absolute error = 6.950662267968255e-12 relative error = 1.026369848982559e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.440045408976031 y[1] (closed_form) = 0.6822390694224436 y[1] (numeric) = 0.6822390694155054 absolute error = 6.938227770092453e-12 relative error = 1.016978956653139e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.450146414981221 y[1] (closed_form) = 0.6874913405375859 y[1] (numeric) = 0.6874913405306603 absolute error = 6.925571227611726e-12 relative error = 1.007368503317621e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.460073265710459 y[1] (closed_form) = 0.6927835294517716 y[1] (numeric) = 0.6927835294448584 absolute error = 6.913136729735925e-12 relative error = 9.978783322413247e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.470000116439698 y[1] (closed_form) = 0.6982045335112381 y[1] (numeric) = 0.698204533504338 absolute error = 6.90014712034781e-12 relative error = 9.882701685775788e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.480101122444887 y[1] (closed_form) = 0.7038523161483704 y[1] (numeric) = 0.7038523161414837 absolute error = 6.886713421749846e-12 relative error = 9.784315919332916e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.490027973174126 y[1] (closed_form) = 0.7095315712676756 y[1] (numeric) = 0.7095315712608029 absolute error = 6.872724611639569e-12 relative error = 9.686284430389055e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.500128979179316 y[1] (closed_form) = 0.7154409898037679 y[1] (numeric) = 0.7154409897969098 absolute error = 6.858069667714517e-12 relative error = 9.585793609051611e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.510055829908554 y[1] (closed_form) = 0.7213762180243822 y[1] (numeric) = 0.7213762180175392 absolute error = 6.843081656882077e-12 relative error = 9.486148123406509e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.519982680637792 y[1] (closed_form) = 0.72743744382225 y[1] (numeric) = 0.7274374438154213 absolute error = 6.82864875756195e-12 relative error = 9.387265964316428e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.530083686642982 y[1] (closed_form) = 0.7337337228741446 y[1] (numeric) = 0.7337337228673319 absolute error = 6.812772568309811e-12 relative error = 9.285074892868714e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.54001053737222 y[1] (closed_form) = 0.7400473234158028 y[1] (numeric) = 0.7400473234090056 absolute error = 6.797229445965058e-12 relative error = 9.18485782043153e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.55011154337741 y[1] (closed_form) = 0.7465991292015288 y[1] (numeric) = 0.7465991291947476 absolute error = 6.781242234410456e-12 relative error = 9.082842410575598e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.560038394106648 y[1] (closed_form) = 0.7531625720914601 y[1] (numeric) = 0.7531625720846954 absolute error = 6.764699911343541e-12 relative error = 8.981726073507104e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.570139400111838 y[1] (closed_form) = 0.759967276670986 y[1] (numeric) = 0.7599672766642377 absolute error = 6.748268610579089e-12 relative error = 8.879683136015643e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.580066250841076 y[1] (closed_form) = 0.766777929301498 y[1] (numeric) = 0.7667779292947663 absolute error = 6.731726287512174e-12 relative error = 8.779238460403379e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.589993101570315 y[1] (closed_form) = 0.7737101055539801 y[1] (numeric) = 0.7737101055472659 absolute error = 6.714184763723097e-12 relative error = 8.677907546413277e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.600094107575504 y[1] (closed_form) = 0.7808879339038401 y[1] (numeric) = 0.7808879338971432 absolute error = 6.696976306841407e-12 relative error = 8.576104221974166e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.610020958304743 y[1] (closed_form) = 0.7880631977111672 y[1] (numeric) = 0.7880631977044877 absolute error = 6.679434783052329e-12 relative error = 8.475760322842036e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.620121964309932 y[1] (closed_form) = 0.7954869263525317 y[1] (numeric) = 0.7954869263458704 absolute error = 6.661338147750939e-12 relative error = 8.373912791118417e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.630048815039171 y[1] (closed_form) = 0.8029023997046389 y[1] (numeric) = 0.8029023996979957 absolute error = 6.643241512449549e-12 relative error = 8.274033699355459e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.640149821044361 y[1] (closed_form) = 0.8105690509677919 y[1] (numeric) = 0.8105690509611676 absolute error = 6.624256698728459e-12 relative error = 8.172353349562659e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.650076671773599 y[1] (closed_form) = 0.8182217595061727 y[1] (numeric) = 0.8182217594995672 absolute error = 6.605493929612294e-12 relative error = 8.072987369095336e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.660003522502837 y[1] (closed_form) = 0.8259909223114394 y[1] (numeric) = 0.8259909223048535 absolute error = 6.585954004378891e-12 relative error = 7.973397559804732e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.670104528508027 y[1] (closed_form) = 0.834015132495462 y[1] (numeric) = 0.8340151324888959 absolute error = 6.566081012238101e-12 relative error = 7.872855966763682e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.680031379237265 y[1] (closed_form) = 0.8420169046695224 y[1] (numeric) = 0.842016904662976 absolute error = 6.546430064702236e-12 relative error = 7.774701467866136e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.690132385242455 y[1] (closed_form) = 0.850276183924735 y[1] (numeric) = 0.850276183918209 absolute error = 6.526001961049133e-12 relative error = 7.675155537023489e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.700059235971693 y[1] (closed_form) = 0.8585073559436649 y[1] (numeric) = 0.8585073559371592 absolute error = 6.505684879698492e-12 relative error = 7.577902314590527e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.709986086700932 y[1] (closed_form) = 0.8668510124241159 y[1] (numeric) = 0.8668510124176303 absolute error = 6.485589842952777e-12 relative error = 7.481781471092791e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.720087092706121 y[1] (closed_form) = 0.875455661786853 y[1] (numeric) = 0.8754556617803887 absolute error = 6.464273560879974e-12 relative error = 7.38389600186723e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.73001394343536 y[1] (closed_form) = 0.8840237464631633 y[1] (numeric) = 0.88402374645672 absolute error = 6.443290345714558e-12 relative error = 7.288594193869934e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.740114949440549 y[1] (closed_form) = 0.8928550242058555 y[1] (numeric) = 0.892855024199434 absolute error = 6.421529974431905e-12 relative error = 7.192130637494588e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.750041800169788 y[1] (closed_form) = 0.9016441004052288 y[1] (numeric) = 0.9016441003988288 absolute error = 6.399991647754177e-12 relative error = 7.09813511215546e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.760142806174978 y[1] (closed_form) = 0.9106984642879097 y[1] (numeric) = 0.9106984642815319 absolute error = 6.377787187261674e-12 relative error = 7.003182104022293e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.770069656904216 y[1] (closed_form) = 0.9197050066974879 y[1] (numeric) = 0.919705006691132 absolute error = 6.355915793676559e-12 relative error = 6.91082004272177e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.779996507633454 y[1] (closed_form) = 0.9288180030568468 y[1] (numeric) = 0.9288180030505133 absolute error = 6.333489288579131e-12 relative error = 6.818870077598506e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.790097513638644 y[1] (closed_form) = 0.9381992210808469 y[1] (numeric) = 0.9381992210745366 absolute error = 6.310285627364465e-12 relative error = 6.725954877786765e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.800024364367882 y[1] (closed_form) = 0.9475242486628338 y[1] (numeric) = 0.9475242486565463 absolute error = 6.287526055359649e-12 relative error = 6.635741580474313e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.810125370373072 y[1] (closed_form) = 0.9571193254956274 y[1] (numeric) = 0.9571193254893633 absolute error = 6.264100349540058e-12 relative error = 6.544743359242385e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.82005222110231 y[1] (closed_form) = 0.9666526440164065 y[1] (numeric) = 0.9666526440101659 absolute error = 6.240563621418005e-12 relative error = 6.455849120205879e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.8301532271075 y[1] (closed_form) = 0.9764577310569614 y[1] (numeric) = 0.9764577310507445 absolute error = 6.216915870993489e-12 relative error = 6.366804904359784e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.840080077836738 y[1] (closed_form) = 0.9861955166868609 y[1] (numeric) = 0.9861955166806674 absolute error = 6.193490165173898e-12 relative error = 6.280184872449049e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.850006928565977 y[1] (closed_form) = 0.9960332041882151 y[1] (numeric) = 0.9960332041820459 absolute error = 6.169176280934607e-12 relative error = 6.19374560506002e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.860107934571166 y[1] (closed_form) = 1.006145027995961 y[1] (numeric) = 1.006145027989817 absolute error = 6.144862396695316e-12 relative error = 6.107332666479152e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.870034785300405 y[1] (closed_form) = 1.016181310908781 y[1] (numeric) = 1.016181310902661 absolute error = 6.120437490153563e-12 relative error = 6.022977813555725e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.880135791305594 y[1] (closed_form) = 1.026493176162049 y[1] (numeric) = 1.026493176155954 absolute error = 6.095124405192109e-12 relative error = 5.9378128824793e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.890062642034833 y[1] (closed_form) = 1.036724028916822 y[1] (numeric) = 1.036724028910753 absolute error = 6.068923141810956e-12 relative error = 5.853942777955884e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.899989492764071 y[1] (closed_form) = 1.047049804384823 y[1] (numeric) = 1.047049804378779 absolute error = 6.043832101454427e-12 relative error = 5.772248918956996e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.910090498769261 y[1] (closed_form) = 1.057653118494499 y[1] (numeric) = 1.057653118488481 absolute error = 6.017630838073273e-12 relative error = 5.689607237804946e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.920017349498499 y[1] (closed_form) = 1.068167297807599 y[1] (numeric) = 1.068167297801607 absolute error = 5.992095708506895e-12 relative error = 5.609697770008125e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.930118355503689 y[1] (closed_form) = 1.078960184949705 y[1] (numeric) = 1.078960184943739 absolute error = 5.965672400520816e-12 relative error = 5.529094107211105e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.940045206232927 y[1] (closed_form) = 1.089658550853363 y[1] (numeric) = 1.089658550847424 absolute error = 5.939471137139662e-12 relative error = 5.450763574046365e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.950146212238117 y[1] (closed_form) = 1.100636681983189 y[1] (numeric) = 1.100636681977277 absolute error = 5.911715561524034e-12 relative error = 5.371178026587278e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.960073062967355 y[1] (closed_form) = 1.11151494334532 y[1] (numeric) = 1.111514943339435 absolute error = 5.884848164328105e-12 relative error = 5.294439089245632e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.969999913696594 y[1] (closed_form) = 1.122480757407582 y[1] (numeric) = 1.122480757401724 absolute error = 5.857980767132176e-12 relative error = 5.218780570155551e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.980100919701783 y[1] (closed_form) = 1.133727708648644 y[1] (numeric) = 1.133727708642815 absolute error = 5.829559057701772e-12 relative error = 5.141939297444147e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 7.990027770431022 y[1] (closed_form) = 1.14486686600047 y[1] (numeric) = 1.144866865994668 absolute error = 5.802025526691068e-12 relative error = 5.067860463950824e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.000128776436211 y[1] (closed_form) = 1.156287937186794 y[1] (numeric) = 1.15628793718102 absolute error = 5.773603817260664e-12 relative error = 4.99322325484743e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.01005562716545 y[1] (closed_form) = 1.167595969893925 y[1] (numeric) = 1.167595969888179 absolute error = 5.74607028624996e-12 relative error = 4.921283076004436e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.02015663317064 y[1] (closed_form) = 1.179186580015153 y[1] (numeric) = 1.179186580009435 absolute error = 5.717870621424481e-12 relative error = 4.848995670685978e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.030083483899878 y[1] (closed_form) = 1.190658952407152 y[1] (numeric) = 1.190658952401461 absolute error = 5.690337090413777e-12 relative error = 4.779149460817171e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.040010334629116 y[1] (closed_form) = 1.202211078525467 y[1] (numeric) = 1.202211078519805 absolute error = 5.661693336378448e-12 relative error = 4.709400401901649e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.050111340634306 y[1] (closed_form) = 1.214046562940091 y[1] (numeric) = 1.214046562934459 absolute error = 5.632161403923419e-12 relative error = 4.639164242830896e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.060038191363544 y[1] (closed_form) = 1.22575612250438 y[1] (numeric) = 1.225756122498776 absolute error = 5.603739694493015e-12 relative error = 4.571659559035155e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.070139197368734 y[1] (closed_form) = 1.237749420683854 y[1] (numeric) = 1.237749420678279 absolute error = 5.574873895852761e-12 relative error = 4.504040803971982e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.080066048097972 y[1] (closed_form) = 1.249611716970598 y[1] (numeric) = 1.249611716965052 absolute error = 5.546230141817432e-12 relative error = 4.438362786212517e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.089992898827211 y[1] (closed_form) = 1.261547957686497 y[1] (numeric) = 1.261547957680979 absolute error = 5.517142298572253e-12 relative error = 4.373311585149663e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.1000939048324 y[1] (closed_form) = 1.273768293406111 y[1] (numeric) = 1.273768293400624 absolute error = 5.487610366117224e-12 relative error = 4.30817001374961e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.110020755561639 y[1] (closed_form) = 1.285850132431362 y[1] (numeric) = 1.285850132425904 absolute error = 5.45830047826712e-12 relative error = 4.244896306808507e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.120121761566828 y[1] (closed_form) = 1.298216162568547 y[1] (numeric) = 1.298216162563119 absolute error = 5.42788036739239e-12 relative error = 4.181029726708393e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.130048612296067 y[1] (closed_form) = 1.31043875385773 y[1] (numeric) = 1.310438753852331 absolute error = 5.399014568752136e-12 relative error = 4.120005267593214e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.140149618301256 y[1] (closed_form) = 1.322945518377545 y[1] (numeric) = 1.322945518372177 absolute error = 5.368594457877407e-12 relative error = 4.058061638442548e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.150076469030495 y[1] (closed_form) = 1.335303959429277 y[1] (numeric) = 1.335303959423938 absolute error = 5.338618436212528e-12 relative error = 3.998054823782826e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.160003319759733 y[1] (closed_form) = 1.347727900663237 y[1] (numeric) = 1.34772790065793 absolute error = 5.306866057708248e-12 relative error = 3.937639085082871e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.170104325764923 y[1] (closed_form) = 1.360435775671322 y[1] (numeric) = 1.360435775666046 absolute error = 5.276223902228594e-12 relative error = 3.878333690265519e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.180031176494161 y[1] (closed_form) = 1.372988133148603 y[1] (numeric) = 1.372988133143357 absolute error = 5.245803791353865e-12 relative error = 3.82072041607813e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.190132182499351 y[1] (closed_form) = 1.385824122171212 y[1] (numeric) = 1.385824122165998 absolute error = 5.214051412849585e-12 relative error = 3.762419292197466e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.200059033228589 y[1] (closed_form) = 1.398499861120669 y[1] (numeric) = 1.398499861115486 absolute error = 5.183187212765006e-12 relative error = 3.706247928127449e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.209985883957827 y[1] (closed_form) = 1.411234872829859 y[1] (numeric) = 1.411234872824707 absolute error = 5.151878923470576e-12 relative error = 3.650617641796112e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.220086889963017 y[1] (closed_form) = 1.424252851783566 y[1] (numeric) = 1.424252851778446 absolute error = 5.120792678781072e-12 relative error = 3.595423854948505e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.230013740692256 y[1] (closed_form) = 1.437103622965504 y[1] (numeric) = 1.437103622960414 absolute error = 5.090150523301418e-12 relative error = 3.541950936563466e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.240114746697445 y[1] (closed_form) = 1.450236775570561 y[1] (numeric) = 1.450236775565504 absolute error = 5.057287921772513e-12 relative error = 3.487215334049741e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.250041597426684 y[1] (closed_form) = 1.46319815175988 y[1] (numeric) = 1.463198151754854 absolute error = 5.025091454058384e-12 relative error = 3.434320531374642e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.260142603431873 y[1] (closed_form) = 1.476441210287265 y[1] (numeric) = 1.476441210282272 absolute error = 4.992894986344254e-12 relative error = 3.381709309897146e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.270069454161112 y[1] (closed_form) = 1.489507992654747 y[1] (numeric) = 1.489507992649786 absolute error = 4.960698518630124e-12 relative error = 3.330427592932e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.27999630489035 y[1] (closed_form) = 1.502625079699054 y[1] (numeric) = 1.502625079694125 absolute error = 4.928946140125845e-12 relative error = 3.280223527956166e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.29009731089554 y[1] (closed_form) = 1.516022592729835 y[1] (numeric) = 1.516022592724939 absolute error = 4.89563944938709e-12 relative error = 3.229265495688774e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.300024161624778 y[1] (closed_form) = 1.529237232054544 y[1] (numeric) = 1.52923723204968 absolute error = 4.863665026277886e-12 relative error = 3.180451616224063e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.310125167629968 y[1] (closed_form) = 1.542731316935628 y[1] (numeric) = 1.542731316930797 absolute error = 4.831246513958831e-12 relative error = 3.131618876808229e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.320052018359206 y[1] (closed_form) = 1.556038208127263 y[1] (numeric) = 1.556038208122463 absolute error = 4.799272090849627e-12 relative error = 3.084289361137019e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.330153024364396 y[1] (closed_form) = 1.569623452359103 y[1] (numeric) = 1.569623452354338 absolute error = 4.765743355505947e-12 relative error = 3.036233529986544e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.340079875093634 y[1] (closed_form) = 1.583017258001814 y[1] (numeric) = 1.58301725799708 absolute error = 4.733546887791817e-12 relative error = 2.990205485041145e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.350006725822873 y[1] (closed_form) = 1.596452153772824 y[1] (numeric) = 1.596452153768124 absolute error = 4.699796107843213e-12 relative error = 2.943900383570153e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.360107731828062 y[1] (closed_form) = 1.610163560337107 y[1] (numeric) = 1.61016356033244 absolute error = 4.666711461709383e-12 relative error = 2.898284110175957e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.370034582557301 y[1] (closed_form) = 1.623677323242935 y[1] (numeric) = 1.623677323238302 absolute error = 4.633626815575553e-12 relative error = 2.85378550851527e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.38013558856249 y[1] (closed_form) = 1.637466226706815 y[1] (numeric) = 1.637466226702215 absolute error = 4.600320124836799e-12 relative error = 2.809413745337952e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.390062439291729 y[1] (closed_form) = 1.651053436355029 y[1] (numeric) = 1.651053436350463 absolute error = 4.566125255678344e-12 relative error = 2.76558296366156e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.399989290020967 y[1] (closed_form) = 1.66467503174065 y[1] (numeric) = 1.664675031736118 absolute error = 4.532596520334664e-12 relative error = 2.72281162023269e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.410090296026157 y[1] (closed_form) = 1.678569512505299 y[1] (numeric) = 1.6785695125008 absolute error = 4.499067784990984e-12 relative error = 2.680298761220818e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.420017146755395 y[1] (closed_form) = 1.692256393304298 y[1] (numeric) = 1.692256393299833 absolute error = 4.46576109425223e-12 relative error = 2.638938822699548e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.430118152760585 y[1] (closed_form) = 1.706214514950535 y[1] (numeric) = 1.706214514946103 absolute error = 4.432010314303625e-12 relative error = 2.597569224425519e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.440045003489823 y[1] (closed_form) = 1.719961191332608 y[1] (numeric) = 1.719961191328212 absolute error = 4.396705222120545e-12 relative error = 2.556281644188741e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.450146009495013 y[1] (closed_form) = 1.733977355234981 y[1] (numeric) = 1.733977355230619 absolute error = 4.361844219147315e-12 relative error = 2.515513946003186e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.460072860224251 y[1] (closed_form) = 1.747778313385717 y[1] (numeric) = 1.747778313381389 absolute error = 4.32853752840856e-12 relative error = 2.476594139690126e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.469999710953489 y[1] (closed_form) = 1.761604125853956 y[1] (numeric) = 1.761604125849662 absolute error = 4.294564703855031e-12 relative error = 2.437871619864193e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.480100716958679 y[1] (closed_form) = 1.77569660197041 y[1] (numeric) = 1.77569660196615 absolute error = 4.260147790091651e-12 relative error = 2.399141714504807e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.490027567687918 y[1] (closed_form) = 1.789568409508792 y[1] (numeric) = 1.789568409504566 absolute error = 4.226397010143046e-12 relative error = 2.361685078752102e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.500128573693107 y[1] (closed_form) = 1.803704859015414 y[1] (numeric) = 1.803704859011223 absolute error = 4.191091917959966e-12 relative error = 2.323601833754416e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.510055424422346 y[1] (closed_form) = 1.817617097619215 y[1] (numeric) = 1.817617097615059 absolute error = 4.156675004196586e-12 relative error = 2.286881549277435e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.520156430427535 y[1] (closed_form) = 1.831791850362954 y[1] (numeric) = 1.831791850358832 absolute error = 4.122258090433206e-12 relative error = 2.250396566409233e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.530083281156774 y[1] (closed_form) = 1.845738939810486 y[1] (numeric) = 1.845738939806398 absolute error = 4.087841176669826e-12 relative error = 2.214745047904527e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.540010131886012 y[1] (closed_form) = 1.859701230382949 y[1] (numeric) = 1.859701230378895 absolute error = 4.053646307511372e-12 relative error = 2.179729862670815e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.550111137891202 y[1] (closed_form) = 1.873922656365645 y[1] (numeric) = 1.873922656361626 absolute error = 4.018785304538142e-12 relative error = 2.144584404743962e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.56003798862044 y[1] (closed_form) = 1.88791142631413 y[1] (numeric) = 1.887911426310146 absolute error = 3.983924301564912e-12 relative error = 2.11022839633051e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.57013899462563 y[1] (closed_form) = 1.902156942749822 y[1] (numeric) = 1.902156942745873 absolute error = 3.949507387801532e-12 relative error = 2.076330979341794e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.580065845354868 y[1] (closed_form) = 1.916166581155793 y[1] (numeric) = 1.916166581151877 absolute error = 3.915756607852927e-12 relative error = 2.043536635260084e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.589992696084106 y[1] (closed_form) = 1.930184480637317 y[1] (numeric) = 1.930184480633436 absolute error = 3.881339694089547e-12 relative error = 2.010864626166712e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.600093702089296 y[1] (closed_form) = 1.944455361719055 y[1] (numeric) = 1.944455361715209 absolute error = 3.846034601906467e-12 relative error = 1.977949547016735e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.610020552818535 y[1] (closed_form) = 1.958485722748696 y[1] (numeric) = 1.958485722744885 absolute error = 3.811395643538162e-12 relative error = 1.946093146999787e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.620121558823724 y[1] (closed_form) = 1.972766421327702 y[1] (numeric) = 1.972766421323926 absolute error = 3.776534640564932e-12 relative error = 1.914334408643912e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.630048409552963 y[1] (closed_form) = 1.986803616304672 y[1] (numeric) = 1.98680361630093 absolute error = 3.742339771406478e-12 relative error = 1.883598228176668e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.640149415558152 y[1] (closed_form) = 2.001088404369357 y[1] (numeric) = 2.00108840436565 absolute error = 3.707256723828323e-12 relative error = 1.852620161974635e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.650076266287391 y[1] (closed_form) = 2.015126802951761 y[1] (numeric) = 2.015126802948089 absolute error = 3.671729587040318e-12 relative error = 1.822083643402471e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.660003117016629 y[1] (closed_form) = 2.029163710915463 y[1] (numeric) = 2.029163710911825 absolute error = 3.637978807091713e-12 relative error = 1.792846376821133e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.670104123021819 y[1] (closed_form) = 2.043443922213412 y[1] (numeric) = 2.04344392220981 absolute error = 3.602007581093858e-12 relative error = 1.76271418165087e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.680030973751057 y[1] (closed_form) = 2.057473612544885 y[1] (numeric) = 2.057473612541318 absolute error = 3.566480444305853e-12 relative error = 1.733427064415412e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.690131979756247 y[1] (closed_form) = 2.071743616046711 y[1] (numeric) = 2.07174361604318 absolute error = 3.531397396727698e-12 relative error = 1.704553289980104e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.700058830485485 y[1] (closed_form) = 2.085760461414187 y[1] (numeric) = 2.085760461410691 absolute error = 3.495870259939693e-12 relative error = 1.67606507296117e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.709985681214723 y[1] (closed_form) = 2.099768855812337 y[1] (numeric) = 2.099768855808875 absolute error = 3.461675390781238e-12 relative error = 1.64859831176133e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.720086687219913 y[1] (closed_form) = 2.114012911621959 y[1] (numeric) = 2.114012911618531 absolute error = 3.427924610832633e-12 relative error = 1.621524916894943e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.730013537949151 y[1] (closed_form) = 2.128000054836068 y[1] (numeric) = 2.128000054832675 absolute error = 3.392397474044628e-12 relative error = 1.594171704241786e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.740114543954341 y[1] (closed_form) = 2.142219631064151 y[1] (numeric) = 2.142219631060792 absolute error = 3.359090783305874e-12 relative error = 1.568042200060149e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.75004139468358 y[1] (closed_form) = 2.156179912828169 y[1] (numeric) = 2.156179912824843 absolute error = 3.325784092567119e-12 relative error = 1.542442758500996e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.760142400688769 y[1] (closed_form) = 2.170369305979399 y[1] (numeric) = 2.170369305976108 absolute error = 3.291589223408664e-12 relative error = 1.516603286979911e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.770069251418008 y[1] (closed_form) = 2.184297126801446 y[1] (numeric) = 2.184297126798188 absolute error = 3.257838443460059e-12 relative error = 1.491481357314535e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.779996102147246 y[1] (closed_form) = 2.198206786697817 y[1] (numeric) = 2.198206786694593 absolute error = 3.223643574301605e-12 relative error = 1.466487863566383e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.790097108152436 y[1] (closed_form) = 2.212340418895324 y[1] (numeric) = 2.212340418892134 absolute error = 3.189892794353e-12 relative error = 1.441863452436398e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.800023958881674 y[1] (closed_form) = 2.226209267948339 y[1] (numeric) = 2.226209267945182 absolute error = 3.156586103614245e-12 relative error = 1.41791975671871e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.810124964886864 y[1] (closed_form) = 2.240298540899417 y[1] (numeric) = 2.240298540896295 absolute error = 3.12194714524594e-12 relative error = 1.393540676945924e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.820051815616102 y[1] (closed_form) = 2.254121016291005 y[1] (numeric) = 2.254121016287916 absolute error = 3.088640454507185e-12 relative error = 1.370219447928897e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.830152821621292 y[1] (closed_form) = 2.268160278765198 y[1] (numeric) = 2.268160278762146 absolute error = 3.05266922850933e-12 relative error = 1.345878973848896e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.84007967235053 y[1] (closed_form) = 2.281930836277843 y[1] (numeric) = 2.281930836274825 absolute error = 3.017586180931175e-12 relative error = 1.322382840425301e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.850006523079768 y[1] (closed_form) = 2.295673611887143 y[1] (numeric) = 2.295673611884159 absolute error = 2.984723579402271e-12 relative error = 1.300151538941417e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.860107529084958 y[1] (closed_form) = 2.309627573344509 y[1] (numeric) = 2.309627573341559 absolute error = 2.950084621033966e-12 relative error = 1.277298840332958e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.870034379814197 y[1] (closed_form) = 2.323310178402123 y[1] (numeric) = 2.323310178399205 absolute error = 2.917222019505061e-12 relative error = 1.255631747591881e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.880135385819386 y[1] (closed_form) = 2.337200118284404 y[1] (numeric) = 2.337200118281523 absolute error = 2.881250793507206e-12 relative error = 1.232778815543684e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.890062236548625 y[1] (closed_form) = 2.350817064675033 y[1] (numeric) = 2.350817064672184 absolute error = 2.848832281188152e-12 relative error = 1.211847712013254e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.899989087277863 y[1] (closed_form) = 2.364399441006171 y[1] (numeric) = 2.364399441003357 absolute error = 2.813749233609997e-12 relative error = 1.190048172407199e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.910090093283053 y[1] (closed_form) = 2.37818323764874 y[1] (numeric) = 2.378183237645959 absolute error = 2.781330721290942e-12 relative error = 1.169519100656342e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.920016944012291 y[1] (closed_form) = 2.391691796828123 y[1] (numeric) = 2.391691796825377 absolute error = 2.746691762922637e-12 relative error = 1.148430481956462e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.930117950017481 y[1] (closed_form) = 2.405397720706446 y[1] (numeric) = 2.405397720703731 absolute error = 2.714717339813433e-12 relative error = 1.128593960343549e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.940044800746719 y[1] (closed_form) = 2.418827044428863 y[1] (numeric) = 2.418827044426182 absolute error = 2.680966559864828e-12 relative error = 1.108374642180281e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.950145806751909 y[1] (closed_form) = 2.432449598074424 y[1] (numeric) = 2.432449598071774 absolute error = 2.649436225965474e-12 relative error = 1.089204984170205e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.960072657481147 y[1] (closed_form) = 2.445794299816135 y[1] (numeric) = 2.445794299813519 absolute error = 2.616129535226719e-12 relative error = 1.069644137866945e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.969999508210385 y[1] (closed_form) = 2.459095072293803 y[1] (numeric) = 2.459095072291221 absolute error = 2.582378755278114e-12 relative error = 1.050133760330508e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.980100514215575 y[1] (closed_form) = 2.472582746379638 y[1] (numeric) = 2.472582746377088 absolute error = 2.54996024295906e-12 relative error = 1.031294199028412e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 8.990027364944813 y[1] (closed_form) = 2.485790904519664 y[1] (numeric) = 2.485790904517146 absolute error = 2.517985819849855e-12 relative error = 1.012951578216677e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.000128370950003 y[1] (closed_form) = 2.49918163922958 y[1] (numeric) = 2.499181639227096 absolute error = 2.4846791291111e-12 relative error = 9.941970964051454e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.010055221679242 y[1] (closed_form) = 2.512291885218102 y[1] (numeric) = 2.51229188521565 absolute error = 2.452260616792046e-12 relative error = 9.761049785738392e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.020156227684431 y[1] (closed_form) = 2.525580309506478 y[1] (numeric) = 2.525580309504058 absolute error = 2.420286193682841e-12 relative error = 9.583089417401213e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.03008307841367 y[1] (closed_form) = 2.538587384802358 y[1] (numeric) = 2.53858738479997 absolute error = 2.388311770573637e-12 relative error = 9.408034503250235e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.040009929142908 y[1] (closed_form) = 2.551541386859197 y[1] (numeric) = 2.551541386856842 absolute error = 2.355005079834882e-12 relative error = 9.229734982797046e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.050110935148098 y[1] (closed_form) = 2.564666856104481 y[1] (numeric) = 2.564666856102159 absolute error = 2.322142478305977e-12 relative error = 9.054363036582152e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.060037785877336 y[1] (closed_form) = 2.577509900397788 y[1] (numeric) = 2.577509900395498 absolute error = 2.290168055196773e-12 relative error = 8.885195959260254e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.070138791882526 y[1] (closed_form) = 2.590519838605821 y[1] (numeric) = 2.590519838603563 absolute error = 2.258193632087568e-12 relative error = 8.71714471525875e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.080065642611764 y[1] (closed_form) = 2.603246773769496 y[1] (numeric) = 2.60324677376727 absolute error = 2.225775119768514e-12 relative error = 8.549996651088119e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.089992493341002 y[1] (closed_form) = 2.615914264057317 y[1] (numeric) = 2.615914264055122 absolute error = 2.19557705349871e-12 relative error = 8.393153719393467e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.100093499346192 y[1] (closed_form) = 2.628741683872257 y[1] (numeric) = 2.628741683870093 absolute error = 2.164046719599355e-12 relative error = 8.232253221669217e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.11002035007543 y[1] (closed_form) = 2.641285447927793 y[1] (numeric) = 2.641285447925659 absolute error = 2.133848653329551e-12 relative error = 8.078826372225885e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.12012135608062 y[1] (closed_form) = 2.653984404655877 y[1] (numeric) = 2.653984404653775 absolute error = 2.102318319430196e-12 relative error = 7.92136651497313e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.130048206809859 y[1] (closed_form) = 2.666399411154819 y[1] (numeric) = 2.666399411152748 absolute error = 2.070343896320992e-12 relative error = 7.764567782530094e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.140149212815048 y[1] (closed_form) = 2.678964811223707 y[1] (numeric) = 2.678964811221666 absolute error = 2.040589919261038e-12 relative error = 7.617083698568365e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.150076063544287 y[1] (closed_form) = 2.691246080486615 y[1] (numeric) = 2.691246080484604 absolute error = 2.010835942201084e-12 relative error = 7.471765427847818e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.160002914273525 y[1] (closed_form) = 2.703459233285044 y[1] (numeric) = 2.703459233283064 absolute error = 1.979749697511579e-12 relative error = 7.323024046883569e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.170103920278715 y[1] (closed_form) = 2.715815489883418 y[1] (numeric) = 2.715815489881468 absolute error = 1.949995720451625e-12 relative error = 7.180148017107498e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.180030771007953 y[1] (closed_form) = 2.727887558300762 y[1] (numeric) = 2.727887558298839 absolute error = 1.922462189440921e-12 relative error = 7.047439267029206e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.190131777013143 y[1] (closed_form) = 2.740097784514881 y[1] (numeric) = 2.740097784512989 absolute error = 1.891375944751417e-12 relative error = 6.902585577201489e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.200058627742381 y[1] (closed_form) = 2.752023926424725 y[1] (numeric) = 2.752023926422865 absolute error = 1.860733789271762e-12 relative error = 6.761328531358821e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.209985478471619 y[1] (closed_form) = 2.76387596272657 y[1] (numeric) = 2.763875962724739 absolute error = 1.830979812211808e-12 relative error = 6.62468155917367e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.220086484476809 y[1] (closed_form) = 2.775858656520149 y[1] (numeric) = 2.775858656518347 absolute error = 1.801669924361704e-12 relative error = 6.490495905221269e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.230013335206047 y[1] (closed_form) = 2.787557634008048 y[1] (numeric) = 2.787557634006276 absolute error = 1.7723600365116e-12 relative error = 6.358110823930261e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.240114341211237 y[1] (closed_form) = 2.799382188437757 y[1] (numeric) = 2.799382188436011 absolute error = 1.745270594710746e-12 relative error = 6.234484887126914e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.250041191940475 y[1] (closed_form) = 2.810923414632678 y[1] (numeric) = 2.810923414630962 absolute error = 1.715960706860642e-12 relative error = 6.104615650244878e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.260142197945665 y[1] (closed_form) = 2.822585086850369 y[1] (numeric) = 2.822585086848683 absolute error = 1.686206729800688e-12 relative error = 5.973980156191753e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.270069048674904 y[1] (closed_form) = 2.833963932547585 y[1] (numeric) = 2.833963932545926 absolute error = 1.658229109580134e-12 relative error = 5.851271043133823e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.279995899404142 y[1] (closed_form) = 2.845260598141084 y[1] (numeric) = 2.845260598139454 absolute error = 1.62980740014973e-12 relative error = 5.728148069159446e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.290096905409332 y[1] (closed_form) = 2.856669946163296 y[1] (numeric) = 2.856669946161694 absolute error = 1.602273869139026e-12 relative error = 5.60888691845899e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.30002375613857 y[1] (closed_form) = 2.867797429699528 y[1] (numeric) = 2.867797429697953 absolute error = 1.574740338128322e-12 relative error = 5.491114267067722e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.31012476214376 y[1] (closed_form) = 2.879032348060564 y[1] (numeric) = 2.879032348059015 absolute error = 1.548983163957018e-12 relative error = 5.380221465731282e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.320051612872998 y[1] (closed_form) = 2.889986186287657 y[1] (numeric) = 2.889986186286136 absolute error = 1.521449632946315e-12 relative error = 5.264556765583363e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.330152618878188 y[1] (closed_form) = 2.901042168643363 y[1] (numeric) = 2.901042168641868 absolute error = 1.494804280355311e-12 relative error = 5.15264581987906e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.340079469607426 y[1] (closed_form) = 2.911817967958865 y[1] (numeric) = 2.911817967957396 absolute error = 1.469047106184007e-12 relative error = 5.045119998396687e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.350006320336664 y[1] (closed_form) = 2.922503915312846 y[1] (numeric) = 2.922503915311402 absolute error = 1.444178110432404e-12 relative error = 4.941578017621949e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.360107326341854 y[1] (closed_form) = 2.933284017949766 y[1] (numeric) = 2.933284017948347 absolute error = 1.41886502547095e-12 relative error = 4.837121181544067e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.370034177071092 y[1] (closed_form) = 2.943785488903431 y[1] (numeric) = 2.943785488902036 absolute error = 1.394884208139047e-12 relative error = 4.738403030373811e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.380135183076282 y[1] (closed_form) = 2.954375726192553 y[1] (numeric) = 2.954375726191183 absolute error = 1.369571123177593e-12 relative error = 4.635737800833565e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.390062033805521 y[1] (closed_form) = 2.964688508588702 y[1] (numeric) = 2.964688508587358 absolute error = 1.34470212742599e-12 relative error = 4.535728200552562e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.399988884534759 y[1] (closed_form) = 2.97490622907798 y[1] (numeric) = 2.974906229076662 absolute error = 1.318056774834986e-12 relative error = 4.430582590979664e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.410089890539949 y[1] (closed_form) = 2.985204590133232 y[1] (numeric) = 2.985204590131939 absolute error = 1.292743689873532e-12 relative error = 4.330502820966908e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.420016741269187 y[1] (closed_form) = 2.995227463904483 y[1] (numeric) = 2.995227463903215 absolute error = 1.267874694121929e-12 relative error = 4.232983001795689e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.430117747274377 y[1] (closed_form) = 3.005325504503109 y[1] (numeric) = 3.005325504501864 absolute error = 1.245226144419576e-12 relative error = 4.14339858545691e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.440044598003615 y[1] (closed_form) = 3.015149511365249 y[1] (numeric) = 3.015149511364029 absolute error = 1.220357148667972e-12 relative error = 4.047418358751301e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.450145604008805 y[1] (closed_form) = 3.025043181166628 y[1] (numeric) = 3.025043181165431 absolute error = 1.196376331336069e-12 relative error = 3.954906623431003e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.460072454738043 y[1] (closed_form) = 3.034664380694414 y[1] (numeric) = 3.034664380693241 absolute error = 1.173283692423865e-12 relative error = 3.866271670396006e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.469999305467281 y[1] (closed_form) = 3.044183622783996 y[1] (numeric) = 3.044183622782847 absolute error = 1.149302875091962e-12 relative error = 3.775405880545703e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.480100311472471 y[1] (closed_form) = 3.053764244445929 y[1] (numeric) = 3.053764244444803 absolute error = 1.126210236179759e-12 relative error = 3.687941000121628e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.490027162201709 y[1] (closed_form) = 3.063074937991973 y[1] (numeric) = 3.06307493799087 absolute error = 1.103117597267556e-12 relative error = 3.601340546995283e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.500128168206899 y[1] (closed_form) = 3.072441441633162 y[1] (numeric) = 3.072441441632083 absolute error = 1.079580869145502e-12 relative error = 3.513755720504958e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.510055018936137 y[1] (closed_form) = 3.081539852101238 y[1] (numeric) = 3.081539852100183 absolute error = 1.055155962603749e-12 relative error = 3.424119152261685e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.520156024941327 y[1] (closed_form) = 3.090688480801733 y[1] (numeric) = 3.0906884808007 absolute error = 1.032507412901396e-12 relative error = 3.340703598291991e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.530082875670566 y[1] (closed_form) = 3.0995709588045 y[1] (numeric) = 3.099570958803488 absolute error = 1.012079309248293e-12 relative error = 3.265223873560392e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.540009726399804 y[1] (closed_form) = 3.108345083373849 y[1] (numeric) = 3.108345083372857 absolute error = 9.912071163853398e-13 relative error = 3.188858025086029e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.550110732404994 y[1] (closed_form) = 3.117161025795329 y[1] (numeric) = 3.117161025794359 absolute error = 9.698908343125368e-13 relative error = 3.111455668431738e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.560037583134232 y[1] (closed_form) = 3.12571392177032 y[1] (numeric) = 3.125713921769371 absolute error = 9.490186414495838e-13 relative error = 3.036166025431032e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.570138589139422 y[1] (closed_form) = 3.134302997669047 y[1] (numeric) = 3.134302997668119 absolute error = 9.277023593767808e-13 relative error = 2.959836238126003e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.58006543986866 y[1] (closed_form) = 3.142631234469098 y[1] (numeric) = 3.142631234468188 absolute error = 9.094947017729282e-13 relative error = 2.894054802858772e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.589992290597898 y[1] (closed_form) = 3.150846874609155 y[1] (numeric) = 3.150846874608267 absolute error = 8.886225089099753e-13 relative error = 2.8202656119879e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.600093296603088 y[1] (closed_form) = 3.159090235908349 y[1] (numeric) = 3.159090235907479 absolute error = 8.699707620962727e-13 relative error = 2.753864869726095e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.610020147332326 y[1] (closed_form) = 3.167076254508431 y[1] (numeric) = 3.167076254507581 absolute error = 8.5087492607272e-13 relative error = 2.686625953074142e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.620121153337516 y[1] (closed_form) = 3.175084324355643 y[1] (numeric) = 3.175084324354812 absolute error = 8.304468224196171e-13 relative error = 2.615511078081838e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.630048004066754 y[1] (closed_form) = 3.182837518210609 y[1] (numeric) = 3.182837518209798 absolute error = 8.109068971862143e-13 relative error = 2.547748330056465e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.640149010071944 y[1] (closed_form) = 3.190607084555907 y[1] (numeric) = 3.190607084555116 absolute error = 7.913669719528116e-13 relative error = 2.480302183817661e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.650075860801183 y[1] (closed_form) = 3.198124343847003 y[1] (numeric) = 3.198124343846229 absolute error = 7.736034035588091e-13 relative error = 2.418928473019428e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.660002711530421 y[1] (closed_form) = 3.205523538100751 y[1] (numeric) = 3.205523538099994 absolute error = 7.567280135845067e-13 relative error = 2.360700224440911e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.670103717535611 y[1] (closed_form) = 3.212930599846815 y[1] (numeric) = 3.212930599846076 absolute error = 7.389644451905042e-13 relative error = 2.299970143226051e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.680030568264849 y[1] (closed_form) = 3.220089385320174 y[1] (numeric) = 3.220089385319453 absolute error = 7.207567875866516e-13 relative error = 2.238312982467059e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.690131574270039 y[1] (closed_form) = 3.227250347396516 y[1] (numeric) = 3.227250347395812 absolute error = 7.034373084024992e-13 relative error = 2.179680014505151e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.700058424999277 y[1] (closed_form) = 3.234165852688905 y[1] (numeric) = 3.234165852688218 absolute error = 6.870060076380469e-13 relative error = 2.12421390531616e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.709985275728515 y[1] (closed_form) = 3.240959741357579 y[1] (numeric) = 3.240959741356907 absolute error = 6.719069745031447e-13 relative error = 2.073172850402934e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.720086281733705 y[1] (closed_form) = 3.24774729411283 y[1] (numeric) = 3.247747294112175 absolute error = 6.550315845288424e-13 relative error = 2.016879779150963e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.730013132462943 y[1] (closed_form) = 3.254293790443663 y[1] (numeric) = 3.254293790443024 absolute error = 6.3860028376439e-13 relative error = 1.962331383969266e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.740114138468133 y[1] (closed_form) = 3.26082826205355 y[1] (numeric) = 3.260828262052926 absolute error = 6.235012506294879e-13 relative error = 1.912094721102637e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.750040989197371 y[1] (closed_form) = 3.267124740236143 y[1] (numeric) = 3.267124740235534 absolute error = 6.092903959142859e-13 relative error = 1.864913170931598e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.760141995202561 y[1] (closed_form) = 3.2734035097134 y[1] (numeric) = 3.273403509712807 absolute error = 5.924150059399835e-13 relative error = 1.80978301080838e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.770068845931799 y[1] (closed_form) = 3.279447444220041 y[1] (numeric) = 3.279447444219462 absolute error = 5.790923296444817e-13 relative error = 1.765822869535903e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.779995696661038 y[1] (closed_form) = 3.285365299984471 y[1] (numeric) = 3.285365299983906 absolute error = 5.644373857194296e-13 relative error = 1.718035390834917e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.790096702666228 y[1] (closed_form) = 3.291256959738609 y[1] (numeric) = 3.291256959738061 absolute error = 5.480060849549773e-13 relative error = 1.665035856083688e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.800023553395466 y[1] (closed_form) = 3.29691868386702 y[1] (numeric) = 3.296918683866486 absolute error = 5.337952302397753e-13 relative error = 1.619073084367602e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.810124559400656 y[1] (closed_form) = 3.302548549975829 y[1] (numeric) = 3.30254854997531 absolute error = 5.195843755245733e-13 relative error = 1.573283080208998e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.820051410129894 y[1] (closed_form) = 3.307951871541402 y[1] (numeric) = 3.307951871540897 absolute error = 5.049294315995212e-13 relative error = 1.526411057982654e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.830152416135084 y[1] (closed_form) = 3.313317685856366 y[1] (numeric) = 3.313317685855874 absolute error = 4.911626660941693e-13 relative error = 1.48238929273461e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.840079266864322 y[1] (closed_form) = 3.318460437577971 y[1] (numeric) = 3.318460437577493 absolute error = 4.778399897986674e-13 relative error = 1.439944814130212e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.85000611759356 y[1] (closed_form) = 3.323473266156287 y[1] (numeric) = 3.323473266155822 absolute error = 4.649614027130156e-13 relative error = 1.399022545021882e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.86010712359875 y[1] (closed_form) = 3.328440166973678 y[1] (numeric) = 3.328440166973224 absolute error = 4.53859172466764e-13 relative error = 1.363579183336881e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.870033974327988 y[1] (closed_form) = 3.333189379523823 y[1] (numeric) = 3.33318937952338 absolute error = 4.427569422205124e-13 relative error = 1.328328192032594e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.880134980333178 y[1] (closed_form) = 3.337887056842717 y[1] (numeric) = 3.337887056842287 absolute error = 4.303224443447107e-13 relative error = 1.289206126560044e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.890061831062416 y[1] (closed_form) = 3.34237074844776 y[1] (numeric) = 3.342370748447339 absolute error = 4.205524817280093e-13 relative error = 1.258246057602435e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.899988681791655 y[1] (closed_form) = 3.34672216075027 y[1] (numeric) = 3.34672216074986 absolute error = 4.098943406916078e-13 relative error = 1.224763577624614e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.910089687796845 y[1] (closed_form) = 3.351013690265985 y[1] (numeric) = 3.351013690265587 absolute error = 3.983480212355062e-13 relative error = 1.188738865474129e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.920016538526083 y[1] (closed_form) = 3.35509693151841 y[1] (numeric) = 3.355096931518021 absolute error = 3.890221478286549e-13 relative error = 1.159496001960801e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.930117544531273 y[1] (closed_form) = 3.359114738280381 y[1] (numeric) = 3.359114738280002 absolute error = 3.796962744218035e-13 relative error = 1.13034624895302e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.940044395260511 y[1] (closed_form) = 3.362928170687966 y[1] (numeric) = 3.362928170687597 absolute error = 3.694822225952521e-13 relative error = 1.098691984609549e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.950145401265701 y[1] (closed_form) = 3.366670643147321 y[1] (numeric) = 3.366670643146959 absolute error = 3.61932706027801e-13 relative error = 1.075046371894132e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.960072251994939 y[1] (closed_form) = 3.370212737136082 y[1] (numeric) = 3.370212737135729 absolute error = 3.530509218307998e-13 relative error = 1.047562718936292e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.969999102724177 y[1] (closed_form) = 3.373619808229419 y[1] (numeric) = 3.373619808229073 absolute error = 3.455014052633487e-13 relative error = 1.024126679658899e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.980100108729367 y[1] (closed_form) = 3.376947709011224 y[1] (numeric) = 3.376947709010886 absolute error = 3.383959779057477e-13 relative error = 1.002076452065734e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 9.990026959458605 y[1] (closed_form) = 3.380081357271428 y[1] (numeric) = 3.380081357271096 absolute error = 3.312905505481467e-13 relative error = 9.801259660080525e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001741552759519745 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ; Iterations = 53713 Total Elapsed Time = 1.0 Seconds Elapsed Time(since restart) = 1.0 Seconds Time to Timeout = 2 Minutes 59.0 Seconds Percent Done = 100 %