##############ECHO OF PROBLEM################# ##############temp/sub_sin_cpostode.ode################# diff ( y , x , 1 ) = sin ( x ) - 1 , 0 ; ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=40; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=c(0.1); x_end=c(5.0); 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)) - c(x)); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (closed_form) = 0.9049958347219743 y[1] (numeric) = 0.9049958347219743 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 = 0.09933 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (closed_form) = 0.8960439020433032 y[1] (numeric) = 0.8960439020433032 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 = 0.1091 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (closed_form) = 0.8871913641461339 y[1] (numeric) = 0.8871913641461339 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 = 0.1189 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (closed_form) = 0.8784381062852119 y[1] (numeric) = 0.878438106285212 absolute error = 1.110223024625157e-16 relative error = 1.263860272774515e-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 = 0.1285 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (closed_form) = 0.8697840037873629 y[1] (numeric) = 0.8697840037873629 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 = 0.1382 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (closed_form) = 0.8612289220639576 y[1] (numeric) = 0.861228922063958 absolute error = 3.33066907387547e-16 relative error = 3.867344661270123e-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 = 0.1478 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600000000000001 y[1] (closed_form) = 0.8527727166243732 y[1] (numeric) = 0.8527727166243734 absolute error = 2.220446049250313e-16 relative error = 2.603795836761472e-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 = 0.1573 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1700000000000001 y[1] (closed_form) = 0.8444152330904394 y[1] (numeric) = 0.8444152330904398 absolute error = 3.33066907387547e-16 relative error = 3.944349821456555e-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 = 0.1667 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800000000000001 y[1] (closed_form) = 0.8361563072118786 y[1] (numeric) = 0.8361563072118788 absolute error = 2.220446049250313e-16 relative error = 2.655539436943649e-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 = 0.1761 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (closed_form) = 0.8279957648827295 y[1] (numeric) = 0.82799576488273 absolute error = 4.440892098500626e-16 relative error = 5.363423687474534e-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 = 0.1855 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (closed_form) = 0.8199334221587583 y[1] (numeric) = 0.8199334221587586 absolute error = 3.33066907387547e-16 relative error = 4.062121367252394e-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 = 0.1947 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (closed_form) = 0.8119690852758515 y[1] (numeric) = 0.811969085275852 absolute error = 4.440892098500626e-16 relative error = 5.46928716749347e-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 = 0.2039 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (closed_form) = 0.8041025506693945 y[1] (numeric) = 0.8041025506693945 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 = 0.213 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (closed_form) = 0.7963336049946251 y[1] (numeric) = 0.7963336049946251 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 = 0.222 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (closed_form) = 0.7886620251479705 y[1] (numeric) = 0.7886620251479705 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 = 0.2309 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (closed_form) = 0.7810875782893553 y[1] (numeric) = 0.7810875782893554 absolute error = 1.110223024625157e-16 relative error = 1.421380976326156e-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 = 0.2397 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (closed_form) = 0.7736100218654866 y[1] (numeric) = 0.7736100218654868 absolute error = 2.220446049250313e-16 relative error = 2.87023950891422e-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 = 0.2484 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (closed_form) = 0.7662291036341092 y[1] (numeric) = 0.7662291036341095 absolute error = 2.220446049250313e-16 relative error = 2.897887901567654e-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 = 0.2571 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (closed_form) = 0.7589445616892291 y[1] (numeric) = 0.7589445616892291 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 = 0.2656 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (closed_form) = 0.7517561244873029 y[1] (numeric) = 0.7517561244873027 absolute error = 2.220446049250313e-16 relative error = 2.953678695686923e-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 = 0.274 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (closed_form) = 0.7446635108743939 y[1] (numeric) = 0.7446635108743936 absolute error = 2.220446049250313e-16 relative error = 2.981811270224636e-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 = 0.2823 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (closed_form) = 0.7376664301142865 y[1] (numeric) = 0.7376664301142863 absolute error = 1.110223024625157e-16 relative error = 1.50504751104527e-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 = 0.2905 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (closed_form) = 0.7307645819175589 y[1] (numeric) = 0.7307645819175589 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 = 0.2986 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (closed_form) = 0.7239576564716129 y[1] (numeric) = 0.7239576564716127 absolute error = 2.220446049250313e-16 relative error = 3.06709381329318e-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 = 0.3066 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (closed_form) = 0.7172453344716537 y[1] (numeric) = 0.7172453344716534 absolute error = 3.33066907387547e-16 relative error = 4.64369569769171e-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 = 0.3144 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (closed_form) = 0.7106272871526208 y[1] (numeric) = 0.7106272871526208 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 = 0.3221 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (closed_form) = 0.704103176322065 y[1] (numeric) = 0.704103176322065 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 = 0.3297 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (closed_form) = 0.6976726543939654 y[1] (numeric) = 0.6976726543939653 absolute error = 1.110223024625157e-16 relative error = 1.591323692612768e-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 = 0.3371 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (closed_form) = 0.6913353644234898 y[1] (numeric) = 0.6913353644234895 absolute error = 2.220446049250313e-16 relative error = 3.211821879099099e-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 = 0.3445 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (closed_form) = 0.6850909401426869 y[1] (numeric) = 0.6850909401426869 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 = 0.3516 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (closed_form) = 0.6789390059971147 y[1] (numeric) = 0.6789390059971149 absolute error = 2.220446049250313e-16 relative error = 3.27046469511541e-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 = 0.3587 Order of pole (three term test) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (closed_form) = 0.6728791771833947 y[1] (numeric) = 0.6728791771833947 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 = 0.3656 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (closed_form) = 0.6669110596876916 y[1] (numeric) = 0.6669110596876915 absolute error = 1.110223024625157e-16 relative error = 1.664724266448758e-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 = 0.3723 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (closed_form) = 0.6610342503251146 y[1] (numeric) = 0.6610342503251145 absolute error = 1.110223024625157e-16 relative error = 1.679524206316267e-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 = 0.3789 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (closed_form) = 0.6552483367800365 y[1] (numeric) = 0.6552483367800364 absolute error = 1.110223024625157e-16 relative error = 1.694354586355635e-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 = 0.3854 Order of pole (three term test) = 32.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (closed_form) = 0.6495528976473229 y[1] (numeric) = 0.6495528976473229 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 = 0.3917 Order of pole (three term test) = 32.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (closed_form) = 0.6439475024744746 y[1] (numeric) = 0.6439475024744745 absolute error = 1.110223024625157e-16 relative error = 1.724089340138662e-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 = 0.3978 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (closed_form) = 0.6384317118046708 y[1] (numeric) = 0.6384317118046708 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 = 0.4038 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (closed_form) = 0.6330050772207155 y[1] (numeric) = 0.6330050772207156 absolute error = 1.110223024625157e-16 relative error = 1.753892764177696e-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 = 0.4096 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (closed_form) = 0.6276671413898783 y[1] (numeric) = 0.6276671413898782 absolute error = 1.110223024625157e-16 relative error = 1.768808579284122e-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 = 0.4152 Order of pole (three term test) = 32.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (closed_form) = 0.6224174381096271 y[1] (numeric) = 0.622417438109627 absolute error = 1.110223024625157e-16 relative error = 1.783727377557201e-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 = 0.4207 Order of pole (three term test) = 32.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (closed_form) = 0.6172554923542485 y[1] (numeric) = 0.6172554923542486 absolute error = 1.110223024625157e-16 relative error = 1.79864422168315e-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 = 0.4261 Order of pole (three term test) = 32.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (closed_form) = 0.6121808203223499 y[1] (numeric) = 0.6121808203223501 absolute error = 2.220446049250313e-16 relative error = 3.627108160757332e-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 = 0.4312 Order of pole (three term test) = 32.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (closed_form) = 0.6071929294852388 y[1] (numeric) = 0.6071929294852388 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 = 0.4362 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (closed_form) = 0.6022913186361757 y[1] (numeric) = 0.6022913186361758 absolute error = 1.110223024625157e-16 relative error = 1.843332271730461e-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 = 0.441 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (closed_form) = 0.5974754779404939 y[1] (numeric) = 0.5974754779404942 absolute error = 2.220446049250313e-16 relative error = 3.716380221836418e-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 = 0.4456 Order of pole (three term test) = 32.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (closed_form) = 0.5927448889865837 y[1] (numeric) = 0.5927448889865838 absolute error = 1.110223024625157e-16 relative error = 1.87301998760935e-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 = 0.4501 Order of pole (three term test) = 32.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (closed_form) = 0.588099024837731 y[1] (numeric) = 0.5880990248377311 absolute error = 1.110223024625157e-16 relative error = 1.887816469227254e-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 = 0.4543 Order of pole (three term test) = 32.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (closed_form) = 0.583537350084813 y[1] (numeric) = 0.583537350084813 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 = 0.4584 Order of pole (three term test) = 32.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (closed_form) = 0.5790593208998364 y[1] (numeric) = 0.5790593208998364 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 = 0.4623 Order of pole (three term test) = 32.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (closed_form) = 0.5746643850903214 y[1] (numeric) = 0.5746643850903216 absolute error = 2.220446049250313e-16 relative error = 3.863900577206155e-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 = 0.466 Order of pole (three term test) = 32.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (closed_form) = 0.5703519821545203 y[1] (numeric) = 0.5703519821545204 absolute error = 1.110223024625157e-16 relative error = 1.946557668531734e-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 = 0.4695 Order of pole (three term test) = 32.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (closed_form) = 0.5661215433374659 y[1] (numeric) = 0.566121543337466 absolute error = 1.110223024625157e-16 relative error = 1.961103649368367e-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 = 0.4729 Order of pole (three term test) = 32.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (closed_form) = 0.561972491687848 y[1] (numeric) = 0.5619724916878481 absolute error = 1.110223024625157e-16 relative error = 1.975582508123616e-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 = 0.476 Order of pole (three term test) = 32.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (closed_form) = 0.5579042421157073 y[1] (numeric) = 0.5579042421157075 absolute error = 2.220446049250313e-16 relative error = 3.979976995388755e-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 = 0.479 Order of pole (three term test) = 32.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (closed_form) = 0.5539162014509439 y[1] (numeric) = 0.5539162014509444 absolute error = 5.551115123125783e-16 relative error = 1.002157927243333e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.4818 Order of pole (three term test) = 32.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (closed_form) = 0.5500077685026349 y[1] (numeric) = 0.5500077685026351 absolute error = 2.220446049250313e-16 relative error = 4.037117612530005e-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 = 0.4844 Order of pole (three term test) = 32.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (closed_form) = 0.5461783341191505 y[1] (numeric) = 0.546178334119151 absolute error = 4.440892098500626e-16 relative error = 8.130846320849907e-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 = 0.4867 Order of pole (three term test) = 32.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (closed_form) = 0.5424272812490719 y[1] (numeric) = 0.5424272812490724 absolute error = 4.440892098500626e-16 relative error = 8.187073644737009e-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 = 0.4889 Order of pole (three term test) = 32.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (closed_form) = 0.5387539850028932 y[1] (numeric) = 0.5387539850028937 absolute error = 5.551115123125783e-16 relative error = 1.030361775068072e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.4909 Order of pole (three term test) = 32.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (closed_form) = 0.5351578127155113 y[1] (numeric) = 0.5351578127155118 absolute error = 4.440892098500626e-16 relative error = 8.298285090834307e-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 = 0.4927 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (closed_form) = 0.5316381240094915 y[1] (numeric) = 0.531638124009492 absolute error = 4.440892098500626e-16 relative error = 8.353223551780762e-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 = 0.4943 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (closed_form) = 0.5281942708591049 y[1] (numeric) = 0.5281942708591051 absolute error = 2.220446049250313e-16 relative error = 4.203843494248377e-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 = 0.4957 Order of pole (three term test) = 32.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (closed_form) = 0.5248255976551296 y[1] (numeric) = 0.5248255976551296 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 = 0.4969 Order of pole (three term test) = 32.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (closed_form) = 0.5215314412704118 y[1] (numeric) = 0.521531441270412 absolute error = 1.110223024625157e-16 relative error = 2.128774867188708e-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 = 0.4979 Order of pole (three term test) = 32.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (closed_form) = 0.5183111311261789 y[1] (numeric) = 0.5183111311261791 absolute error = 2.220446049250313e-16 relative error = 4.284002244801805e-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 = 0.4987 Order of pole (three term test) = 32.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (closed_form) = 0.5151639892590946 y[1] (numeric) = 0.5151639892590947 absolute error = 1.110223024625157e-16 relative error = 2.155086628282912e-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 = 0.4994 Order of pole (three term test) = 32.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (closed_form) = 0.5120893303890565 y[1] (numeric) = 0.5120893303890565 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 = 0.4998 Order of pole (three term test) = 32.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (closed_form) = 0.5090864619877223 y[1] (numeric) = 0.5090864619877226 absolute error = 2.220446049250313e-16 relative error = 4.361628554372879e-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 = 0.5 Order of pole (three term test) = 32.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (closed_form) = 0.5061546843477637 y[1] (numeric) = 0.5061546843477639 absolute error = 2.220446049250313e-16 relative error = 4.386892224679504e-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 = 0.5 Order of pole (three term test) = 32.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (closed_form) = 0.5032932906528346 y[1] (numeric) = 0.5032932906528347 absolute error = 1.110223024625157e-16 relative error = 2.205916600209508e-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 = 0.4998 Order of pole (three term test) = 32.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (closed_form) = 0.5005015670482528 y[1] (numeric) = 0.5005015670482531 absolute error = 3.33066907387547e-16 relative error = 6.654662628767281e-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 = 0.4994 Order of pole (three term test) = 32.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (closed_form) = 0.4977787927123863 y[1] (numeric) = 0.4977787927123866 absolute error = 2.220446049250313e-16 relative error = 4.460708414577384e-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 = 0.4988 Order of pole (three term test) = 32.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (closed_form) = 0.4951242399287329 y[1] (numeric) = 0.4951242399287331 absolute error = 1.665334536937735e-16 relative error = 3.363467999824528e-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 = 0.498 Order of pole (three term test) = 32.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (closed_form) = 0.4925371741586916 y[1] (numeric) = 0.4925371741586921 absolute error = 4.996003610813204e-16 relative error = 1.014340413867631e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.497 Order of pole (three term test) = 32.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (closed_form) = 0.4900168541150177 y[1] (numeric) = 0.490016854115018 absolute error = 2.775557561562891e-16 relative error = 5.664208359885121e-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 = 0.4958 Order of pole (three term test) = 32.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (closed_form) = 0.4875625318359479 y[1] (numeric) = 0.4875625318359483 absolute error = 4.440892098500626e-16 relative error = 9.108353920835883e-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 = 0.4944 Order of pole (three term test) = 32.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (closed_form) = 0.4851734527599988 y[1] (numeric) = 0.485173452759999 absolute error = 2.220446049250313e-16 relative error = 4.576602525589345e-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 = 0.4929 Order of pole (three term test) = 32.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (closed_form) = 0.4828488558014198 y[1] (numeric) = 0.48284885580142 absolute error = 1.665334536937735e-16 relative error = 3.44897687325707e-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 = 0.4911 Order of pole (three term test) = 32.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (closed_form) = 0.4805879734263029 y[1] (numeric) = 0.4805879734263033 absolute error = 3.885780586188048e-16 relative error = 8.085471965693964e-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 = 0.4891 Order of pole (three term test) = 32.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (closed_form) = 0.4783900317293354 y[1] (numeric) = 0.4783900317293357 absolute error = 3.33066907387547e-16 relative error = 6.962245977064805e-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 = 0.4869 Order of pole (three term test) = 32.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (closed_form) = 0.4762542505111883 y[1] (numeric) = 0.4762542505111886 absolute error = 2.775557561562891e-16 relative error = 5.827890372807679e-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 = 0.4846 Order of pole (three term test) = 32.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (closed_form) = 0.4741798433565371 y[1] (numeric) = 0.4741798433565372 absolute error = 1.665334536937735e-16 relative error = 3.51203147976403e-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 = 0.482 Order of pole (three term test) = 32.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (closed_form) = 0.4721660177127015 y[1] (numeric) = 0.4721660177127018 absolute error = 3.33066907387547e-16 relative error = 7.054021147074755e-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 = 0.4792 Order of pole (three term test) = 32.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (closed_form) = 0.4702119749689017 y[1] (numeric) = 0.4702119749689018 absolute error = 1.665334536937735e-16 relative error = 3.541667642658133e-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 = 0.4763 Order of pole (three term test) = 32.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (closed_form) = 0.4683169105361163 y[1] (numeric) = 0.4683169105361165 absolute error = 1.665334536937735e-16 relative error = 3.555999152435699e-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 = 0.4732 Order of pole (three term test) = 32.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (closed_form) = 0.4664800139275432 y[1] (numeric) = 0.4664800139275433 absolute error = 1.110223024625157e-16 relative error = 2.380001267959154e-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 = 0.4698 Order of pole (three term test) = 32.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (closed_form) = 0.4647004688396456 y[1] (numeric) = 0.4647004688396457 absolute error = 1.665334536937735e-16 relative error = 3.583673029416273e-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 = 0.4663 Order of pole (three term test) = 32.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (closed_form) = 0.4629774532337826 y[1] (numeric) = 0.4629774532337827 absolute error = 1.110223024625157e-16 relative error = 2.398006678015364e-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 = 0.4626 Order of pole (three term test) = 32.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (closed_form) = 0.4613101394184124 y[1] (numeric) = 0.4613101394184124 absolute error = 5.551115123125783e-17 relative error = 1.203336898279375e-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 = 0.4587 Order of pole (three term test) = 32.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (closed_form) = 0.45969769413186 y[1] (numeric) = 0.4596976941318603 absolute error = 2.775557561562891e-16 relative error = 6.037788740281887e-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 = 0.4546 Order of pole (three term test) = 32.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.01 y[1] (closed_form) = 0.4581392786256446 y[1] (numeric) = 0.4581392786256446 absolute error = 5.551115123125783e-17 relative error = 1.211665400045674e-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 = 0.4504 Order of pole (three term test) = 32.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.019999999999998 y[1] (closed_form) = 0.4566340487483507 y[1] (numeric) = 0.4566340487483505 absolute error = 2.220446049250313e-16 relative error = 4.86263793805265e-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 = 0.446 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.029999999999997 y[1] (closed_form) = 0.4551811550300451 y[1] (numeric) = 0.4551811550300447 absolute error = 3.885780586188048e-16 relative error = 8.536778254652391e-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 = 0.4414 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.039999999999996 y[1] (closed_form) = 0.4537797427672221 y[1] (numeric) = 0.4537797427672217 absolute error = 4.440892098500626e-16 relative error = 9.786448534302896e-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 = 0.4366 Order of pole (three term test) = 32.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.049999999999995 y[1] (closed_form) = 0.4524289521082736 y[1] (numeric) = 0.4524289521082731 absolute error = 5.551115123125783e-16 relative error = 1.226958420158158e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.4316 Order of pole (three term test) = 32.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.059999999999994 y[1] (closed_form) = 0.4511279181394732 y[1] (numeric) = 0.4511279181394725 absolute error = 7.216449660063518e-16 relative error = 1.599645991723447e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.4265 Order of pole (three term test) = 32.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.069999999999993 y[1] (closed_form) = 0.4498757709714667 y[1] (numeric) = 0.449875770971466 absolute error = 7.216449660063518e-16 relative error = 1.604098314625888e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.4212 Order of pole (three term test) = 32.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.079999999999992 y[1] (closed_form) = 0.448671635826261 y[1] (numeric) = 0.4486716358262601 absolute error = 8.881784197001252e-16 relative error = 1.979573364526333e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.4157 Order of pole (three term test) = 32.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.089999999999991 y[1] (closed_form) = 0.4475146331247002 y[1] (numeric) = 0.4475146331246992 absolute error = 9.992007221626409e-16 relative error = 2.232777764574713e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.4101 Order of pole (three term test) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.09999999999999 y[1] (closed_form) = 0.4464038785744238 y[1] (numeric) = 0.4464038785744226 absolute error = 1.165734175856414e-15 relative error = 2.611388995048942e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.4042 Order of pole (three term test) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.109999999999989 y[1] (closed_form) = 0.4453384832582943 y[1] (numeric) = 0.4453384832582931 absolute error = 1.165734175856414e-15 relative error = 2.617636291675009e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.3983 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.119999999999987 y[1] (closed_form) = 0.4443175537232891 y[1] (numeric) = 0.4443175537232877 absolute error = 1.332267629550188e-15 relative error = 2.998458238676508e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.3922 Order of pole (three term test) = 32.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.129999999999986 y[1] (closed_form) = 0.4433401920698439 y[1] (numeric) = 0.4433401920698426 absolute error = 1.27675647831893e-15 relative error = 2.879857277000028e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.3859 Order of pole (three term test) = 32.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.139999999999985 y[1] (closed_form) = 0.4424054960416433 y[1] (numeric) = 0.4424054960416418 absolute error = 1.498801083243961e-15 relative error = 3.387844628184458e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.3794 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.149999999999984 y[1] (closed_form) = 0.441512559115844 y[1] (numeric) = 0.4415125591158425 absolute error = 1.498801083243961e-15 relative error = 3.394696373406461e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.3729 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.159999999999983 y[1] (closed_form) = 0.4406604705937283 y[1] (numeric) = 0.4406604705937265 absolute error = 1.77635683940025e-15 relative error = 4.031123638130869e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.3661 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.169999999999982 y[1] (closed_form) = 0.4398483156917712 y[1] (numeric) = 0.4398483156917694 absolute error = 1.831867990631508e-15 relative error = 4.164772093648782e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.3592 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.179999999999981 y[1] (closed_form) = 0.4390751756331197 y[1] (numeric) = 0.4390751756331177 absolute error = 1.998401444325282e-15 relative error = 4.551387906282127e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.3522 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.18999999999998 y[1] (closed_form) = 0.4383401277394685 y[1] (numeric) = 0.4383401277394665 absolute error = 1.998401444325282e-15 relative error = 4.55902008020824e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.345 Order of pole (three term test) = 32.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.199999999999979 y[1] (closed_form) = 0.437642245523328 y[1] (numeric) = 0.4376422455233258 absolute error = 2.220446049250313e-15 relative error = 5.07365564445253e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.3377 Order of pole (three term test) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.209999999999978 y[1] (closed_form) = 0.4369805987806712 y[1] (numeric) = 0.4369805987806689 absolute error = 2.275957200481571e-15 relative error = 5.208371279714221e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.3303 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.219999999999976 y[1] (closed_form) = 0.4363542536839544 y[1] (numeric) = 0.4363542536839521 absolute error = 2.331468351712829e-15 relative error = 5.343063192415858e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.3227 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.229999999999975 y[1] (closed_form) = 0.4357622728754988 y[1] (numeric) = 0.4357622728754964 absolute error = 2.442490654175344e-15 relative error = 5.605098940892448e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.315 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.239999999999974 y[1] (closed_form) = 0.4352037155612252 y[1] (numeric) = 0.4352037155612227 absolute error = 2.498001805406602e-15 relative error = 5.7398448498659e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.3072 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.249999999999973 y[1] (closed_form) = 0.4346776376047328 y[1] (numeric) = 0.4346776376047302 absolute error = 2.609024107869118e-15 relative error = 6.002204581413486e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.2992 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.259999999999972 y[1] (closed_form) = 0.434183091621712 y[1] (numeric) = 0.4341830916217094 absolute error = 2.55351295663786e-15 relative error = 5.881189309100603e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.2912 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.269999999999971 y[1] (closed_form) = 0.4337191270746825 y[1] (numeric) = 0.43371912707468 absolute error = 2.55351295663786e-15 relative error = 5.887480623371651e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.283 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.27999999999997 y[1] (closed_form) = 0.4332847903680457 y[1] (numeric) = 0.4332847903680431 absolute error = 2.609024107869118e-15 relative error = 6.021499406090232e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.2747 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.289999999999969 y[1] (closed_form) = 0.4328791249434436 y[1] (numeric) = 0.4328791249434409 absolute error = 2.720046410331634e-15 relative error = 6.28361649614546e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.2663 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.299999999999968 y[1] (closed_form) = 0.4325011713754139 y[1] (numeric) = 0.432501171375411 absolute error = 2.886579864025407e-15 relative error = 6.674155019848111e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.2578 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.309999999999967 y[1] (closed_form) = 0.4321499674673315 y[1] (numeric) = 0.4321499674673286 absolute error = 2.831068712794149e-15 relative error = 6.55112559509371e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.2491 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.319999999999965 y[1] (closed_form) = 0.4318245483476282 y[1] (numeric) = 0.4318245483476252 absolute error = 2.942091015256665e-15 relative error = 6.813162953598964e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.2404 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.329999999999964 y[1] (closed_form) = 0.4315239465662779 y[1] (numeric) = 0.4315239465662749 absolute error = 3.05311331771918e-15 relative error = 7.075188623976519e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.2316 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.339999999999963 y[1] (closed_form) = 0.4312471921915415 y[1] (numeric) = 0.4312471921915386 absolute error = 2.942091015256665e-15 relative error = 6.822284454318056e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.2227 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.349999999999962 y[1] (closed_form) = 0.4309933129069594 y[1] (numeric) = 0.4309933129069564 absolute error = 3.05311331771918e-15 relative error = 7.083899509081874e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.2137 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.359999999999961 y[1] (closed_form) = 0.4307613341085814 y[1] (numeric) = 0.4307613341085785 absolute error = 2.942091015256665e-15 relative error = 6.829979346556337e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.2046 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.36999999999996 y[1] (closed_form) = 0.4305502790024278 y[1] (numeric) = 0.4305502790024248 absolute error = 3.05311331771918e-15 relative error = 7.091188803298777e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.1954 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.379999999999959 y[1] (closed_form) = 0.4303591687021664 y[1] (numeric) = 0.4303591687021632 absolute error = 3.219646771412954e-15 relative error = 7.481301679065973e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.1862 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.389999999999958 y[1] (closed_form) = 0.4301870223270012 y[1] (numeric) = 0.430187022326998 absolute error = 3.275157922644212e-15 relative error = 7.613335020958958e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.1769 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.399999999999957 y[1] (closed_form) = 0.4300328570997596 y[1] (numeric) = 0.4300328570997564 absolute error = 3.164135620181696e-15 relative error = 7.357892700388882e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.1675 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.409999999999956 y[1] (closed_form) = 0.4298956884451695 y[1] (numeric) = 0.4298956884451661 absolute error = 3.33066907387547e-15 relative error = 7.747621489114507e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.158 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.419999999999954 y[1] (closed_form) = 0.4297745300883147 y[1] (numeric) = 0.4297745300883115 absolute error = 3.164135620181696e-15 relative error = 7.362315350636287e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.1485 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.429999999999953 y[1] (closed_form) = 0.4296683941532637 y[1] (numeric) = 0.4296683941532605 absolute error = 3.275157922644212e-15 relative error = 7.622524642750324e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.1389 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.439999999999952 y[1] (closed_form) = 0.4295762912618548 y[1] (numeric) = 0.4295762912618515 absolute error = 3.275157922644212e-15 relative error = 7.6241589428123e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.1293 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.449999999999951 y[1] (closed_form) = 0.4294972306326337 y[1] (numeric) = 0.4294972306326304 absolute error = 3.275157922644212e-15 relative error = 7.625562376316197e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.1196 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.45999999999995 y[1] (closed_form) = 0.4294302201799307 y[1] (numeric) = 0.4294302201799274 absolute error = 3.275157922644212e-15 relative error = 7.626752307445724e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.1099 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.469999999999949 y[1] (closed_form) = 0.4293742666130687 y[1] (numeric) = 0.4293742666130652 absolute error = 3.441691376337985e-15 relative error = 8.015597682381537e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.1001 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.479999999999948 y[1] (closed_form) = 0.4293283755356905 y[1] (numeric) = 0.4293283755356872 absolute error = 3.275157922644212e-15 relative error = 7.628561514383167e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.0903 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.489999999999947 y[1] (closed_form) = 0.4292915515451996 y[1] (numeric) = 0.4292915515451961 absolute error = 3.497202527569243e-15 relative error = 8.146450856023955e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.08045 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.499999999999946 y[1] (closed_form) = 0.4292627983322972 y[1] (numeric) = 0.4292627983322939 absolute error = 3.33066907387547e-15 relative error = 7.759044312284338e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.07056 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.509999999999944 y[1] (closed_form) = 0.4292411187806142 y[1] (numeric) = 0.4292411187806108 absolute error = 3.386180225106727e-15 relative error = 7.888760132594401e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.06065 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.519999999999943 y[1] (closed_form) = 0.4292255150664208 y[1] (numeric) = 0.4292255150664175 absolute error = 3.275157922644212e-15 relative error = 7.630389638270677e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.05071 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.529999999999942 y[1] (closed_form) = 0.4292149887584089 y[1] (numeric) = 0.4292149887584056 absolute error = 3.275157922644212e-15 relative error = 7.630576770206157e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.04075 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.539999999999941 y[1] (closed_form) = 0.4292085409175339 y[1] (numeric) = 0.4292085409175306 absolute error = 3.33066907387547e-15 relative error = 7.760025154101975e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.03078 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.54999999999994 y[1] (closed_form) = 0.4292051721969075 y[1] (numeric) = 0.4292051721969042 absolute error = 3.219646771412954e-15 relative error = 7.501416525185464e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.02079 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.559999999999939 y[1] (closed_form) = 0.4292038829417326 y[1] (numeric) = 0.4292038829417293 absolute error = 3.275157922644212e-15 relative error = 7.630774214334955e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 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 = 0.0108 Order of pole (three term test) = 33 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 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] = 1.569989505414941 y[1] (closed_form) = 0.4292036732926383 y[1] (numeric) = 0.4292036732926349 absolute error = 3.386180225106727e-15 relative error = 7.889448380368293e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.57999406075702 y[1] (closed_form) = 0.4292035435201937 y[1] (numeric) = 0.4292035435201904 absolute error = 3.33066907387547e-15 relative error = 7.760115507337986e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.589998616099098 y[1] (closed_form) = 0.4292024931568446 y[1] (numeric) = 0.4292024931568416 absolute error = 2.997602166487923e-15 relative error = 6.984121048412693e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600003171441177 y[1] (closed_form) = 0.4291995209488488 y[1] (numeric) = 0.429199520948846 absolute error = 2.831068712794149e-15 relative error = 6.596160001612748e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610007726783255 y[1] (closed_form) = 0.4291936258348235 y[1] (numeric) = 0.4291936258348202 absolute error = 3.219646771412954e-15 relative error = 7.501618331703849e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620012282125334 y[1] (closed_form) = 0.4291838070459379 y[1] (numeric) = 0.4291838070459353 absolute error = 2.609024107869118e-15 relative error = 6.079036685533337e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630016837467412 y[1] (closed_form) = 0.4291690642060859 y[1] (numeric) = 0.4291690642060831 absolute error = 2.831068712794149e-15 relative error = 6.596628109790031e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.64002139280949 y[1] (closed_form) = 0.4291483974320089 y[1] (numeric) = 0.4291483974320063 absolute error = 2.664535259100376e-15 relative error = 6.208890153254096e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650025948151569 y[1] (closed_form) = 0.4291208074333779 y[1] (numeric) = 0.4291208074333752 absolute error = 2.664535259100376e-15 relative error = 6.209289349163177e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660030503493647 y[1] (closed_form) = 0.4290852956128106 y[1] (numeric) = 0.4290852956128078 absolute error = 2.775557561562891e-15 relative error = 6.468545042073508e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670035058835726 y[1] (closed_form) = 0.4290408641658228 y[1] (numeric) = 0.4290408641658201 absolute error = 2.664535259100376e-15 relative error = 6.210446327253672e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680039614177804 y[1] (closed_form) = 0.4289865161806981 y[1] (numeric) = 0.4289865161806955 absolute error = 2.55351295663786e-15 relative error = 5.952431743943828e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690044169519883 y[1] (closed_form) = 0.4289212557382689 y[1] (numeric) = 0.4289212557382666 absolute error = 2.331468351712829e-15 relative error = 5.43565589376039e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700048724861961 y[1] (closed_form) = 0.4288440880115998 y[1] (numeric) = 0.4288440880115973 absolute error = 2.498001805406602e-15 relative error = 5.824965005321547e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.71005328020404 y[1] (closed_form) = 0.4287540193655575 y[1] (numeric) = 0.4287540193655549 absolute error = 2.55351295663786e-15 relative error = 5.955659518752463e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720057835546118 y[1] (closed_form) = 0.4286500574562664 y[1] (numeric) = 0.4286500574562643 absolute error = 2.109423746787797e-15 relative error = 4.921085883682669e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730062390888196 y[1] (closed_form) = 0.428531211330432 y[1] (numeric) = 0.4285312113304294 absolute error = 2.664535259100376e-15 relative error = 6.217832420719071e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740066946230275 y[1] (closed_form) = 0.4283964915245237 y[1] (numeric) = 0.4283964915245216 absolute error = 2.109423746787797e-15 relative error = 4.923998651998863e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750071501572353 y[1] (closed_form) = 0.4282449101638146 y[1] (numeric) = 0.4282449101638127 absolute error = 1.942890293094024e-15 relative error = 4.536867215423107e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760076056914432 y[1] (closed_form) = 0.4280754810612539 y[1] (numeric) = 0.4280754810612519 absolute error = 1.998401444325282e-15 relative error = 4.668338955949986e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.77008061225651 y[1] (closed_form) = 0.4278872198161772 y[1] (numeric) = 0.4278872198161754 absolute error = 1.720845688168993e-15 relative error = 4.021727241370467e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780085167598589 y[1] (closed_form) = 0.4276791439128347 y[1] (numeric) = 0.427679143912833 absolute error = 1.665334536937735e-15 relative error = 3.893887650685035e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790089722940667 y[1] (closed_form) = 0.4274502728187317 y[1] (numeric) = 0.4274502728187296 absolute error = 2.109423746787797e-15 relative error = 4.934898585694289e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800094278282746 y[1] (closed_form) = 0.4271996280827695 y[1] (numeric) = 0.4271996280827678 absolute error = 1.665334536937735e-15 relative error = 3.89825839599064e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810098833624824 y[1] (closed_form) = 0.4269262334331809 y[1] (numeric) = 0.426926233433179 absolute error = 1.887379141862766e-15 relative error = 4.420855393881912e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820103388966902 y[1] (closed_form) = 0.426629114875243 y[1] (numeric) = 0.4266291148752411 absolute error = 1.887379141862766e-15 relative error = 4.423934223089024e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830107944308981 y[1] (closed_form) = 0.4263073007887666 y[1] (numeric) = 0.4263073007887646 absolute error = 1.942890293094024e-15 relative error = 4.557487731266226e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840112499651059 y[1] (closed_form) = 0.4259598220253442 y[1] (numeric) = 0.4259598220253424 absolute error = 1.77635683940025e-15 relative error = 4.170245050235181e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850117054993138 y[1] (closed_form) = 0.4255857120053548 y[1] (numeric) = 0.4255857120053532 absolute error = 1.554312234475219e-15 relative error = 3.65217203169561e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860121610335216 y[1] (closed_form) = 0.4251840068147066 y[1] (numeric) = 0.425184006814705 absolute error = 1.554312234475219e-15 relative error = 3.655622529453658e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870126165677295 y[1] (closed_form) = 0.4247537453013168 y[1] (numeric) = 0.4247537453013152 absolute error = 1.609823385706477e-15 relative error = 3.790015752690966e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880130721019373 y[1] (closed_form) = 0.4242939691713128 y[1] (numeric) = 0.4242939691713117 absolute error = 1.110223024625157e-15 relative error = 2.616636354255823e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890135276361452 y[1] (closed_form) = 0.4238037230849498 y[1] (numeric) = 0.4238037230849488 absolute error = 9.992007221626409e-16 relative error = 2.357696895367658e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.90013983170353 y[1] (closed_form) = 0.4232820547522291 y[1] (numeric) = 0.4232820547522279 absolute error = 1.27675647831893e-15 relative error = 3.016325554047614e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910144387045609 y[1] (closed_form) = 0.4227280150282133 y[1] (numeric) = 0.4227280150282124 absolute error = 9.436895709313831e-16 relative error = 2.232380011219271e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.919987578591847 y[1] (closed_form) = 0.4221504008127084 y[1] (numeric) = 0.4221504008127077 absolute error = 7.216449660063518e-16 relative error = 1.709449913151965e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.929992133933925 y[1] (closed_form) = 0.4215293439656083 y[1] (numeric) = 0.4215293439656074 absolute error = 8.326672684688674e-16 relative error = 1.975348289244611e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.939996689276004 y[1] (closed_form) = 0.4208731032308795 y[1] (numeric) = 0.420873103230879 absolute error = 4.440892098500626e-16 relative error = 1.055161773087807e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950001244618082 y[1] (closed_form) = 0.4201807429329769 y[1] (numeric) = 0.4201807429329764 absolute error = 4.996003610813204e-16 relative error = 1.189012989015091e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960005799960161 y[1] (closed_form) = 0.4194513310115722 y[1] (numeric) = 0.4194513310115719 absolute error = 2.220446049250313e-16 relative error = 5.293691747014754e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970010355302239 y[1] (closed_form) = 0.4186839391148454 y[1] (numeric) = 0.4186839391148451 absolute error = 2.775557561562891e-16 relative error = 6.62924297366361e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980014910644318 y[1] (closed_form) = 0.4178776426924029 y[1] (numeric) = 0.4178776426924028 absolute error = 1.110223024625157e-16 relative error = 2.656813648779925e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990019465986396 y[1] (closed_form) = 0.4170315210878168 y[1] (numeric) = 0.4170315210878168 absolute error = 5.551115123125783e-17 relative error = 1.331102049227797e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000024021328474 y[1] (closed_form) = 0.416144657630773 y[1] (numeric) = 0.4161446576307732 absolute error = 1.665334536937735e-16 relative error = 4.001816451084453e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010028576670553 y[1] (closed_form) = 0.4152161397288223 y[1] (numeric) = 0.4152161397288225 absolute error = 2.220446049250313e-16 relative error = 5.347687232727722e-14 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 16 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.020033132012631 y[1] (closed_form) = 0.4142450589587194 y[1] (numeric) = 0.4142450589587202 absolute error = 7.216449660063518e-16 relative error = 1.742072597849056e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.03003768735471 y[1] (closed_form) = 0.4132305111573511 y[1] (numeric) = 0.4132305111573519 absolute error = 7.771561172376096e-16 relative error = 1.880684257948421e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.040042242696788 y[1] (closed_form) = 0.4121715965122297 y[1] (numeric) = 0.4121715965122307 absolute error = 1.054711873393899e-15 relative error = 2.558914496580562e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.050046798038867 y[1] (closed_form) = 0.4110674196515594 y[1] (numeric) = 0.4110674196515611 absolute error = 1.720845688168993e-15 relative error = 4.186285767010348e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.060051353380945 y[1] (closed_form) = 0.4099170897338533 y[1] (numeric) = 0.409917089733855 absolute error = 1.720845688168993e-15 relative error = 4.198033532308412e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.070055908723023 y[1] (closed_form) = 0.4087197205370954 y[1] (numeric) = 0.4087197205370977 absolute error = 2.275957200481571e-15 relative error = 5.568503515051228e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.080060464065102 y[1] (closed_form) = 0.4074744305474471 y[1] (numeric) = 0.4074744305474496 absolute error = 2.498001805406602e-15 relative error = 6.130450448266176e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.09006501940718 y[1] (closed_form) = 0.4061803430474749 y[1] (numeric) = 0.4061803430474776 absolute error = 2.775557561562891e-15 relative error = 6.833313352237927e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.100069574749259 y[1] (closed_form) = 0.4048365862039023 y[1] (numeric) = 0.4048365862039053 absolute error = 3.05311331771918e-15 relative error = 7.541594366131307e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.110074130091337 y[1] (closed_form) = 0.403442293154872 y[1] (numeric) = 0.4034422931548757 absolute error = 3.663735981263017e-15 relative error = 9.081189660640251e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.120078685433416 y[1] (closed_form) = 0.4019966020967112 y[1] (numeric) = 0.4019966020967151 absolute error = 3.941291737419306e-15 relative error = 9.804291172767479e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.130083240775494 y[1] (closed_form) = 0.4004986563701878 y[1] (numeric) = 0.4004986563701919 absolute error = 4.163336342344337e-15 relative error = 1.03953815477875e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.140087796117573 y[1] (closed_form) = 0.3989476045462546 y[1] (numeric) = 0.3989476045462593 absolute error = 4.773959005888173e-15 relative error = 1.196638092693366e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.150092351459651 y[1] (closed_form) = 0.3973426005112706 y[1] (numeric) = 0.3973426005112759 absolute error = 5.329070518200751e-15 relative error = 1.341177742166006e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.160096906801729 y[1] (closed_form) = 0.3956828035516864 y[1] (numeric) = 0.395682803551692 absolute error = 5.606626274357041e-15 relative error = 1.416949694055802e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.170101462143808 y[1] (closed_form) = 0.3939673784381923 y[1] (numeric) = 0.3939673784381983 absolute error = 5.995204332975845e-15 relative error = 1.521751459915965e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.180106017485886 y[1] (closed_form) = 0.3921954955093176 y[1] (numeric) = 0.3921954955093239 absolute error = 6.217248937900877e-15 relative error = 1.585242311318991e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.190110572827965 y[1] (closed_form) = 0.3903663307544698 y[1] (numeric) = 0.3903663307544766 absolute error = 6.827871601444713e-15 relative error = 1.749093367824098e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.200115128170043 y[1] (closed_form) = 0.3884790658964126 y[1] (numeric) = 0.3884790658964194 absolute error = 6.827871601444713e-15 relative error = 1.757590614487669e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.210119683512122 y[1] (closed_form) = 0.3865328884731642 y[1] (numeric) = 0.3865328884731717 absolute error = 7.438494264988549e-15 relative error = 1.924414321992417e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.2201242388542 y[1] (closed_form) = 0.3845269919193202 y[1] (numeric) = 0.3845269919193283 absolute error = 8.160139230994901e-15 relative error = 2.122123908718228e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.230128794196279 y[1] (closed_form) = 0.3824605756467809 y[1] (numeric) = 0.3824605756467895 absolute error = 8.548717289613705e-15 relative error = 2.235189149929225e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.240133349538357 y[1] (closed_form) = 0.3803328451248826 y[1] (numeric) = 0.380332845124892 absolute error = 9.381384558082573e-15 relative error = 2.466624873011477e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.250137904880436 y[1] (closed_form) = 0.3781430119599238 y[1] (numeric) = 0.3781430119599337 absolute error = 9.825473767932635e-15 relative error = 2.598348629267795e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.260142460222514 y[1] (closed_form) = 0.375890293974074 y[1] (numeric) = 0.3758902939740843 absolute error = 1.02695629777827e-14 relative error = 2.732063887366831e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.269985651768752 y[1] (closed_form) = 0.3736117853886927 y[1] (numeric) = 0.3736117853887037 absolute error = 1.099120794378905e-14 relative error = 2.941879344719862e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.279990207110831 y[1] (closed_form) = 0.3712320217508203 y[1] (numeric) = 0.3712320217508323 absolute error = 1.204591981718295e-14 relative error = 3.244849342567882e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.289994762452909 y[1] (closed_form) = 0.3687870770894208 y[1] (numeric) = 0.3687870770894334 absolute error = 1.260103132949553e-14 relative error = 3.416885274003275e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299999317794988 y[1] (closed_form) = 0.3662761947608479 y[1] (numeric) = 0.366276194760861 absolute error = 1.304512053934559e-14 relative error = 3.561552928074705e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.310003873137066 y[1] (closed_form) = 0.363698624721176 y[1] (numeric) = 0.3636986247211897 absolute error = 1.376676550535194e-14 relative error = 3.785212417535541e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.320008428479145 y[1] (closed_form) = 0.361053623601272 y[1] (numeric) = 0.3610536236012864 absolute error = 1.437738816889578e-14 relative error = 3.982064499309217e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.330012983821223 y[1] (closed_form) = 0.3583404547811995 y[1] (numeric) = 0.3583404547812143 absolute error = 1.482147737874584e-14 relative error = 4.136144044298806e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.340017539163302 y[1] (closed_form) = 0.3555583884639466 y[1] (numeric) = 0.3555583884639625 absolute error = 1.587618925213974e-14 relative error = 4.465142650895318e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.35002209450538 y[1] (closed_form) = 0.3527067017484726 y[1] (numeric) = 0.3527067017484895 absolute error = 1.687538997430238e-14 relative error = 4.784539077552545e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.360026649847458 y[1] (closed_form) = 0.3497846787020635 y[1] (numeric) = 0.349784678702081 absolute error = 1.743050148661496e-14 relative error = 4.983208970528339e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.370031205189537 y[1] (closed_form) = 0.3467916104319873 y[1] (numeric) = 0.3467916104320056 absolute error = 1.837419105754634e-14 relative error = 5.298337821569039e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.380035760531615 y[1] (closed_form) = 0.3437267951564507 y[1] (numeric) = 0.34372679515647 absolute error = 1.931788062847772e-14 relative error = 5.620126478555446e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.390040315873694 y[1] (closed_form) = 0.3405895382748394 y[1] (numeric) = 0.3405895382748595 absolute error = 2.015054789694659e-14 relative error = 5.916373121445106e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.400044871215772 y[1] (closed_form) = 0.33737915243724 y[1] (numeric) = 0.3373791524372608 absolute error = 2.076117056049043e-14 relative error = 6.153661366006444e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.410049426557851 y[1] (closed_form) = 0.3340949576132375 y[1] (numeric) = 0.3340949576132594 absolute error = 2.187139358511558e-14 relative error = 6.546460246321598e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.420053981899929 y[1] (closed_form) = 0.3307362811599805 y[1] (numeric) = 0.3307362811600033 absolute error = 2.275957200481571e-14 relative error = 6.881486338599384e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.430058537242008 y[1] (closed_form) = 0.3273024578895054 y[1] (numeric) = 0.3273024578895291 absolute error = 2.364775042451583e-14 relative error = 7.225045169840771e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.440063092584086 y[1] (closed_form) = 0.3237928301353157 y[1] (numeric) = 0.3237928301353406 absolute error = 2.492450690283476e-14 relative error = 7.697671036266803e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.450067647926164 y[1] (closed_form) = 0.320206747818208 y[1] (numeric) = 0.3202067478182337 absolute error = 2.570166302007237e-14 relative error = 8.026583822856869e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.460072203268243 y[1] (closed_form) = 0.3165435685113378 y[1] (numeric) = 0.3165435685113647 absolute error = 2.692290834716005e-14 relative error = 8.505277322099733e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.470076758610321 y[1] (closed_form) = 0.312802657504522 y[1] (numeric) = 0.3128026575045496 absolute error = 2.758904216193514e-14 relative error = 8.819951333545273e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.4800813139524 y[1] (closed_form) = 0.3089833878677646 y[1] (numeric) = 0.3089833878677934 absolute error = 2.886579864025407e-14 relative error = 9.342184652531465e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.490085869294478 y[1] (closed_form) = 0.3050851405140094 y[1] (numeric) = 0.305085140514039 absolute error = 2.964295475749168e-14 relative error = 9.716289265202836e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.500090424636557 y[1] (closed_form) = 0.3011073042611017 y[1] (numeric) = 0.3011073042611327 absolute error = 3.103073353827313e-14 relative error = 1.030553995175261e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.510094979978635 y[1] (closed_form) = 0.2970492758929639 y[1] (numeric) = 0.2970492758929962 absolute error = 3.22519788653608e-14 relative error = 1.085745076078966e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.520099535320714 y[1] (closed_form) = 0.2929104602199706 y[1] (numeric) = 0.2929104602200039 absolute error = 3.336220188998595e-14 relative error = 1.138989774039873e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.530104090662792 y[1] (closed_form) = 0.2886902701385208 y[1] (numeric) = 0.2886902701385554 absolute error = 3.463895836830488e-14 relative error = 1.199865806065589e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.540108646004871 y[1] (closed_form) = 0.2843881266898025 y[1] (numeric) = 0.2843881266898379 absolute error = 3.536060333431124e-14 relative error = 1.243392392850527e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.550113201346949 y[1] (closed_form) = 0.2800034591177396 y[1] (numeric) = 0.2800034591177761 absolute error = 3.647082635893639e-14 relative error = 1.302513421578862e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.560117756689027 y[1] (closed_form) = 0.2755357049261202 y[1] (numeric) = 0.2755357049261581 absolute error = 3.785860513971784e-14 relative error = 1.373999973973207e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.570122312031106 y[1] (closed_form) = 0.2709843099348963 y[1] (numeric) = 0.2709843099349354 absolute error = 3.913536161803677e-14 relative error = 1.444192899117997e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.580126867373184 y[1] (closed_form) = 0.266348728335652 y[1] (numeric) = 0.2663487283356925 absolute error = 4.046762924758696e-14 relative error = 1.519347567396295e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.590131422715263 y[1] (closed_form) = 0.261628422746234 y[1] (numeric) = 0.2616284227462754 absolute error = 4.141131881851834e-14 relative error = 1.582829510029389e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.600135978057341 y[1] (closed_form) = 0.2568228642645369 y[1] (numeric) = 0.2568228642645798 absolute error = 4.29101199017623e-14 relative error = 1.670806064119093e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.61014053339942 y[1] (closed_form) = 0.2519315325214433 y[1] (numeric) = 0.2519315325214878 absolute error = 4.451994328746878e-14 relative error = 1.767144542880095e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.620145088741498 y[1] (closed_form) = 0.2469539157329068 y[1] (numeric) = 0.2469539157329522 absolute error = 4.538036613155327e-14 relative error = 1.837604639589293e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629988280287737 y[1] (closed_form) = 0.2419718859245314 y[1] (numeric) = 0.2419718859245782 absolute error = 4.676814491233472e-14 relative error = 1.932792511561497e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.639992835629815 y[1] (closed_form) = 0.2368216099507565 y[1] (numeric) = 0.2368216099508048 absolute error = 4.823919041996305e-14 relative error = 2.036942086070341e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.649997390971893 y[1] (closed_form) = 0.2315835733624425 y[1] (numeric) = 0.2315835733624921 absolute error = 4.959921362512887e-14 relative error = 2.141741441544433e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.660001946313972 y[1] (closed_form) = 0.2262572990773322 y[1] (numeric) = 0.226257299077383 absolute error = 5.08759701034478e-14 relative error = 2.248589120038022e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.67000650165605 y[1] (closed_form) = 0.2208423188449045 y[1] (numeric) = 0.2208423188449568 absolute error = 5.234701561107613e-14 relative error = 2.370334448799144e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.680011056998129 y[1] (closed_form) = 0.2153381732932433 y[1] (numeric) = 0.2153381732932971 absolute error = 5.379030554308883e-14 relative error = 2.497945660096143e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.690015612340207 y[1] (closed_form) = 0.2097444119750151 y[1] (numeric) = 0.2097444119750707 absolute error = 5.556666238248908e-14 relative error = 2.649255913864738e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.700020167682286 y[1] (closed_form) = 0.2040605934125557 y[1] (numeric) = 0.2040605934126125 absolute error = 5.684341886080801e-14 relative error = 2.785614699545929e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.710024723024364 y[1] (closed_form) = 0.1982862851420548 y[1] (numeric) = 0.1982862851421132 absolute error = 5.839773109528323e-14 relative error = 2.945122051857816e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.720029278366443 y[1] (closed_form) = 0.1924210637568451 y[1] (numeric) = 0.1924210637569053 absolute error = 6.017408793468348e-14 relative error = 3.127208984288909e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.730033833708521 y[1] (closed_form) = 0.1864645149497797 y[1] (numeric) = 0.1864645149498411 absolute error = 6.142308883738679e-14 relative error = 3.294089969554251e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.740038389050599 y[1] (closed_form) = 0.1804162335546984 y[1] (numeric) = 0.1804162335547615 absolute error = 6.308842337432452e-14 relative error = 3.496826318303416e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.750042944392678 y[1] (closed_form) = 0.1742758235869841 y[1] (numeric) = 0.174275823587049 absolute error = 6.483702463810914e-14 relative error = 3.720368281934863e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.760047499734756 y[1] (closed_form) = 0.1680428982831956 y[1] (numeric) = 0.1680428982832619 absolute error = 6.622480341889059e-14 relative error = 3.940946275949413e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.770052055076835 y[1] (closed_form) = 0.1617170801397774 y[1] (numeric) = 0.1617170801398455 absolute error = 6.816769371198461e-14 relative error = 4.215243909490887e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.780056610418913 y[1] (closed_form) = 0.1552980009508471 y[1] (numeric) = 0.1552980009509167 absolute error = 6.961098364399732e-14 relative error = 4.48241337414444e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.790061165760992 y[1] (closed_form) = 0.1487853018450465 y[1] (numeric) = 0.1487853018451177 absolute error = 7.124856260531942e-14 relative error = 4.788682868656055e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.80006572110307 y[1] (closed_form) = 0.1421786333214627 y[1] (numeric) = 0.1421786333215357 absolute error = 7.294165271787278e-14 relative error = 5.13028230852053e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.810070276445149 y[1] (closed_form) = 0.1354776552846091 y[1] (numeric) = 0.1354776552846842 absolute error = 7.510658761589184e-14 relative error = 5.543835805108173e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.820074831787227 y[1] (closed_form) = 0.1286820370784669 y[1] (numeric) = 0.1286820370785437 absolute error = 7.67996777284452e-14 relative error = 5.968173917049105e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.830079387129306 y[1] (closed_form) = 0.1217914575195782 y[1] (numeric) = 0.1217914575196569 absolute error = 7.865930129469234e-14 relative error = 6.458523684392865e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.840083942471384 y[1] (closed_form) = 0.1148056049291957 y[1] (numeric) = 0.1148056049292759 absolute error = 8.019973574135975e-14 relative error = 6.985698632991092e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.850088497813462 y[1] (closed_form) = 0.1077241771644766 y[1] (numeric) = 0.1077241771645587 absolute error = 8.210099267103033e-14 relative error = 7.621408195643584e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.860093053155541 y[1] (closed_form) = 0.100546881648726 y[1] (numeric) = 0.1005468816488103 absolute error = 8.422429420562594e-14 relative error = 8.376619227225241e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.870097608497619 y[1] (closed_form) = 0.09327343540068078 y[1] (numeric) = 0.09327343540076706 absolute error = 8.627820680118248e-14 relative error = 9.250029918009512e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.880102163839698 y[1] (closed_form) = 0.08590356506283214 y[1] (numeric) = 0.08590356506292024 absolute error = 8.809619700400617e-14 relative error = 1.025524341621565e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.890106719181776 y[1] (closed_form) = 0.07843700692878652 y[1] (numeric) = 0.07843700692887655 absolute error = 9.002520950929238e-14 relative error = 1.147738969578822e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.900111274523855 y[1] (closed_form) = 0.07087350696966022 y[1] (numeric) = 0.07087350696975243 absolute error = 9.221789998292707e-14 relative error = 1.301161801156588e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.910115829865933 y[1] (closed_form) = 0.06321282085950575 y[1] (numeric) = 0.06321282085959992 absolute error = 9.41746680638289e-14 relative error = 1.489803283310797e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.920120385208012 y[1] (closed_form) = 0.0554547139997652 y[1] (numeric) = 0.05545471399986149 absolute error = 9.62840918106167e-14 relative error = 1.736265230959885e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.93012494055009 y[1] (closed_form) = 0.04759896154275234 y[1] (numeric) = 0.04759896154285091 absolute error = 9.856698790500218e-14 relative error = 2.070780216842997e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.940129495892168 y[1] (closed_form) = 0.03964534841415768 y[1] (numeric) = 0.03964534841425837 absolute error = 1.006902894395978e-13 relative error = 2.539775622293193e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.950134051234247 y[1] (closed_form) = 0.03159366933457486 y[1] (numeric) = 0.03159366933467733 absolute error = 1.02466646278998e-13 relative error = 3.243265136248755e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.960138606576325 y[1] (closed_form) = 0.02344372884004597 y[1] (numeric) = 0.02344372884015095 absolute error = 1.049715869783086e-13 relative error = 4.47759772749968e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.970143161918404 y[1] (closed_form) = 0.01519534130162903 y[1] (numeric) = 0.01519534130173625 absolute error = 1.072215233266505e-13 relative error = 7.056210268548275e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.979986353464642 y[1] (closed_form) = 0.006983743544122678 y[1] (numeric) = 0.006983743544231842 absolute error = 1.091644136197445e-13 relative error = 1.563121740225043e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.989990908806721 y[1] (closed_form) = -0.001460460905928773 y[1] (numeric) = -0.001460460905817342 absolute error = 1.114314803624117e-13 relative error = 7.629884504956834e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.999995464148799 y[1] (closed_form) = -0.01000360765789576 y[1] (numeric) = -0.01000360765778194 absolute error = 1.138238808762182e-13 relative error = 1.137828319230193e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.010000019490878 y[1] (closed_form) = -0.01864584298459171 y[1] (numeric) = -0.01864584298447555 absolute error = 1.161640228453109e-13 relative error = 6.230022581510791e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.020004574832956 y[1] (closed_form) = -0.02738730324102567 y[1] (numeric) = -0.02738730324090732 absolute error = 1.183532438719936e-13 relative error = 4.321463958331709e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.030009130175034 y[1] (closed_form) = -0.03622811485075506 y[1] (numeric) = -0.03622811485063412 absolute error = 1.209379818511991e-13 relative error = 3.338235576137866e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.040013685517113 y[1] (closed_form) = -0.04516839429322994 y[1] (numeric) = -0.04516839429310686 absolute error = 1.230821000675064e-13 relative error = 2.724960716302341e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.050018240859191 y[1] (closed_form) = -0.05420824809213753 y[1] (numeric) = -0.05420824809201183 absolute error = 1.257050019631833e-13 relative error = 2.318927587357612e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.06002279620127 y[1] (closed_form) = -0.06334777280473691 y[1] (numeric) = -0.06334777280460889 absolute error = 1.280225925270884e-13 relative error = 2.020948596278279e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.070027351543348 y[1] (closed_form) = -0.07258705501219742 y[1] (numeric) = -0.072587055012067 absolute error = 1.304234498178403e-13 relative error = 1.796786628082984e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.080031906885427 y[1] (closed_form) = -0.08192617131093138 y[1] (numeric) = -0.08192617131079825 absolute error = 1.331296184403641e-13 relative error = 1.624994996227788e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.090036462227505 y[1] (closed_form) = -0.0913651883049269 y[1] (numeric) = -0.09136518830479129 absolute error = 1.356137424579629e-13 relative error = 1.484304306420938e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.100041017569584 y[1] (closed_form) = -0.100904162599083 y[1] (numeric) = -0.1009041625989449 absolute error = 1.380978664755617e-13 relative error = 1.368604256934953e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.110045572911662 y[1] (closed_form) = -0.1105431407935433 y[1] (numeric) = -0.1105431407934025 absolute error = 1.408317906737011e-13 relative error = 1.273998455831164e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.120050128253741 y[1] (closed_form) = -0.1202821594790309 y[1] (numeric) = -0.1202821594788877 absolute error = 1.431216256619905e-13 relative error = 1.189882408845023e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.130054683595819 y[1] (closed_form) = -0.1301212452331879 y[1] (numeric) = -0.1301212452330424 absolute error = 1.454947273771268e-13 relative error = 1.118147364147863e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.140059238937897 y[1] (closed_form) = -0.1400604146179143 y[1] (numeric) = -0.1400604146177659 absolute error = 1.483813072411522e-13 relative error = 1.059409310231855e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.150063794279976 y[1] (closed_form) = -0.1500996741777092 y[1] (numeric) = -0.1500996741775579 absolute error = 1.512956426807932e-13 relative error = 1.007967828775351e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.160068349622054 y[1] (closed_form) = -0.1602390204390169 y[1] (numeric) = -0.1602390204388632 absolute error = 1.537381333349686e-13 relative error = 9.594300621269557e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.170072904964133 y[1] (closed_form) = -0.1704784399105757 y[1] (numeric) = -0.1704784399104191 absolute error = 1.565136908965314e-13 relative error = 9.180849553681427e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.180077460306211 y[1] (closed_form) = -0.1808179090847655 y[1] (numeric) = -0.180817909084606 absolute error = 1.594835374874037e-13 relative error = 8.820118443723381e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.19008201564829 y[1] (closed_form) = -0.1912573944399627 y[1] (numeric) = -0.1912573944398005 absolute error = 1.621758283221197e-13 relative error = 8.479454025660069e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.200086570990368 y[1] (closed_form) = -0.2017968524438953 y[1] (numeric) = -0.2017968524437304 absolute error = 1.648958747324514e-13 relative error = 8.171379916755472e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.210091126332447 y[1] (closed_form) = -0.2124362295579996 y[1] (numeric) = -0.2124362295578318 absolute error = 1.678102101720924e-13 relative error = 7.899321623305157e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.220095681674525 y[1] (closed_form) = -0.2231754622427777 y[1] (numeric) = -0.2231754622426073 absolute error = 1.704747454311928e-13 relative error = 7.63859717004841e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.230100237016603 y[1] (closed_form) = -0.2340144769641603 y[1] (numeric) = -0.2340144769639867 absolute error = 1.736388810513745e-13 relative error = 7.420005945955538e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.240104792358682 y[1] (closed_form) = -0.2449531902008633 y[1] (numeric) = -0.2449531902006866 absolute error = 1.766087276422468e-13 relative error = 7.209897021444237e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.25010934770076 y[1] (closed_form) = -0.2559915084527491 y[1] (numeric) = -0.2559915084525698 absolute error = 1.793010184769628e-13 relative error = 7.004178363598266e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.260113903042839 y[1] (closed_form) = -0.2671293282501863 y[1] (numeric) = -0.267129328250004 absolute error = 1.82354131794682e-13 relative error = 6.826436205608015e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.270118458384917 y[1] (closed_form) = -0.2783665361644037 y[1] (numeric) = -0.278366536164218 absolute error = 1.856292897173262e-13 relative error = 6.668520299713513e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.280123013726996 y[1] (closed_form) = -0.2897030088188441 y[1] (numeric) = -0.2897030088186552 absolute error = 1.889044476399704e-13 relative error = 6.520624290723032e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.290127569069074 y[1] (closed_form) = -0.3011386129015139 y[1] (numeric) = -0.3011386129013217 absolute error = 1.921796055626146e-13 relative error = 6.381765649743034e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.300132124411153 y[1] (closed_form) = -0.3126732051783256 y[1] (numeric) = -0.3126732051781306 absolute error = 1.9506618542664e-13 relative error = 6.238660115291577e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.310136679753231 y[1] (closed_form) = -0.3243066325074349 y[1] (numeric) = -0.3243066325072368 absolute error = 1.980637875931279e-13 relative error = 6.10729993592059e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.320141235095309 y[1] (closed_form) = -0.3360387318545675 y[1] (numeric) = -0.3360387318543664 absolute error = 2.010613897596158e-13 relative error = 5.983280220407218e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.329984426641548 y[1] (closed_form) = -0.3476777336155039 y[1] (numeric) = -0.3476777336152997 absolute error = 2.042255253797975e-13 relative error = 5.873989204199373e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.339988981983626 y[1] (closed_form) = -0.3596050641631585 y[1] (numeric) = -0.3596050641629512 absolute error = 2.07334149848748e-13 relative error = 5.765607064829242e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.349993537325705 y[1] (closed_form) = -0.371630521624148 y[1] (numeric) = -0.3716305216239376 absolute error = 2.104427743176984e-13 relative error = 5.662688129004961e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.359998092667783 y[1] (closed_form) = -0.3837539037257875 y[1] (numeric) = -0.383753903725574 absolute error = 2.135513987866489e-13 relative error = 5.564800689017684e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.370002648009862 y[1] (closed_form) = -0.3959749983940872 y[1] (numeric) = -0.3959749983938701 absolute error = 2.171041124654494e-13 relative error = 5.482773239369529e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.38000720335194 y[1] (closed_form) = -0.4082935837749759 y[1] (numeric) = -0.4082935837747557 absolute error = 2.202127369343998e-13 relative error = 5.393490020057879e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.390011758694019 y[1] (closed_form) = -0.4207094282565103 y[1] (numeric) = -0.4207094282562867 absolute error = 2.235989171595065e-13 relative error = 5.314806423191835e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.400016314036097 y[1] (closed_form) = -0.4332222904920542 y[1] (numeric) = -0.4332222904918273 absolute error = 2.268740750821507e-13 relative error = 5.236897548010907e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.410020869378176 y[1] (closed_form) = -0.4458319194244367 y[1] (numeric) = -0.4458319194242063 absolute error = 2.3037127760972e-13 relative error = 5.167222614009476e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.420025424720254 y[1] (closed_form) = -0.4585380543110791 y[1] (numeric) = -0.4585380543108453 absolute error = 2.337574578348267e-13 relative error = 5.09788567463677e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.430029980062332 y[1] (closed_form) = -0.4713404247500943 y[1] (numeric) = -0.4713404247498569 absolute error = 2.373656826648585e-13 relative error = 5.03597124712378e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.440034535404411 y[1] (closed_form) = -0.48423875070735 y[1] (numeric) = -0.4842387507071093 absolute error = 2.407518628899652e-13 relative error = 4.971759540893573e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.450039090746489 y[1] (closed_form) = -0.4972327425444982 y[1] (numeric) = -0.497232742544254 absolute error = 2.441935542663032e-13 relative error = 4.911051372375178e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.460043646088568 y[1] (closed_form) = -0.510322101047965 y[1] (numeric) = -0.5103221010477176 absolute error = 2.474687121889474e-13 relative error = 4.849265036351774e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.470048201430646 y[1] (closed_form) = -0.5235065174588991 y[1] (numeric) = -0.5235065174586482 absolute error = 2.509104035652854e-13 relative error = 4.792880225889156e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.480052756772725 y[1] (closed_form) = -0.5367856735040748 y[1] (numeric) = -0.5367856735038209 absolute error = 2.539080057317733e-13 relative error = 4.730156154770137e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.490057312114803 y[1] (closed_form) = -0.5501592414277496 y[1] (numeric) = -0.5501592414274922 absolute error = 2.574607194105738e-13 relative error = 4.679749062151947e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.500061867456882 y[1] (closed_form) = -0.5636268840244676 y[1] (numeric) = -0.5636268840242069 absolute error = 2.606803661819868e-13 relative error = 4.625052025919161e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.51006642279896 y[1] (closed_form) = -0.5771882546728118 y[1] (numeric) = -0.5771882546725476 absolute error = 2.641220575583247e-13 relative error = 4.576012339475731e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.520070978141038 y[1] (closed_form) = -0.5908429973700975 y[1] (numeric) = -0.5908429973698291 absolute error = 2.683409050519003e-13 relative error = 4.541661765415061e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.530075533483117 y[1] (closed_form) = -0.6045907467680025 y[1] (numeric) = -0.6045907467677308 absolute error = 2.716715741257758e-13 relative error = 4.493478862818643e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.540080088825195 y[1] (closed_form) = -0.6184311282091395 y[1] (numeric) = -0.6184311282088634 absolute error = 2.761124662242764e-13 relative error = 4.46472458499698e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.550084644167274 y[1] (closed_form) = -0.63236375776455 y[1] (numeric) = -0.6323637577642705 absolute error = 2.795541576006144e-13 relative error = 4.420780826985687e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.560089199509352 y[1] (closed_form) = -0.646388242272137 y[1] (numeric) = -0.6463882422718534 absolute error = 2.83550960489265e-13 relative error = 4.386697373896333e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.570093754851431 y[1] (closed_form) = -0.6605041793760127 y[1] (numeric) = -0.6605041793757255 absolute error = 2.87214696470528e-13 relative error = 4.348416034882075e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.580098310193509 y[1] (closed_form) = -0.6747111575667737 y[1] (numeric) = -0.6747111575664825 absolute error = 2.912114993591786e-13 relative error = 4.31609135395628e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.590102865535588 y[1] (closed_form) = -0.6890087562226861 y[1] (numeric) = -0.6890087562223913 absolute error = 2.947642130379791e-13 relative error = 4.278090958581547e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.600107420877666 y[1] (closed_form) = -0.7033965456517888 y[1] (numeric) = -0.7033965456514901 absolute error = 2.986499936241671e-13 relative error = 4.24582684504697e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.610111976219744 y[1] (closed_form) = -0.7178740871348985 y[1] (numeric) = -0.7178740871345961 absolute error = 3.024247519078926e-13 relative error = 4.212782677738064e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.620116531561823 y[1] (closed_form) = -0.7324409329695225 y[1] (numeric) = -0.7324409329692162 absolute error = 3.063105324940807e-13 relative error = 4.182050984674099e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.630121086903901 y[1] (closed_form) = -0.7470966265146703 y[1] (numeric) = -0.7470966265143599 absolute error = 3.104183576851938e-13 relative error = 4.154996109851906e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.64012564224598 y[1] (closed_form) = -0.7618407022365576 y[1] (numeric) = -0.7618407022362423 absolute error = 3.153033389935445e-13 relative error = 4.138704299572068e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.650130197588058 y[1] (closed_form) = -0.7766726857552015 y[1] (numeric) = -0.7766726857548826 absolute error = 3.189670749748075e-13 relative error = 4.106840382376242e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.660134752930137 y[1] (closed_form) = -0.7915920938919032 y[1] (numeric) = -0.7915920938915808 absolute error = 3.224087663511455e-13 relative error = 4.0729154426746e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.670139308272215 y[1] (closed_form) = -0.8065984347176074 y[1] (numeric) = -0.8065984347172814 absolute error = 3.25961480029946e-13 relative error = 4.041186617775499e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.680143863614294 y[1] (closed_form) = -0.8216912076021416 y[1] (numeric) = -0.8216912076018107 absolute error = 3.309574836407592e-13 relative error = 4.027759827278168e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.689987055160532 y[1] (closed_form) = -0.8366244065488293 y[1] (numeric) = -0.8366244065484947 absolute error = 3.346212196220222e-13 relative error = 3.999658831402884e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.69999161050261 y[1] (closed_form) = -0.8518871337631277 y[1] (numeric) = -0.8518871337627884 absolute error = 3.393951786279104e-13 relative error = 3.984039260326253e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.709996165844689 y[1] (closed_form) = -0.8672347480027787 y[1] (numeric) = -0.8672347480024356 absolute error = 3.430589146091734e-13 relative error = 3.955779163591289e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.720000721186767 y[1] (closed_form) = -0.8826667144794542 y[1] (numeric) = -0.8826667144791069 absolute error = 3.47277762102749e-13 relative error = 3.934415520670826e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.730005276528846 y[1] (closed_form) = -0.8981824899619841 y[1] (numeric) = -0.8981824899616331 absolute error = 3.510525203864745e-13 relative error = 3.908476554706971e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.740009831870924 y[1] (closed_form) = -0.9137815228307313 y[1] (numeric) = -0.9137815228303762 absolute error = 3.551603455775876e-13 relative error = 3.886709642337311e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.750014387213003 y[1] (closed_form) = -0.9294632531328033 y[1] (numeric) = -0.9294632531324439 absolute error = 3.593791930711632e-13 relative error = 3.866523951967517e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.760018942555081 y[1] (closed_form) = -0.9452271126380953 y[1] (numeric) = -0.945227112637732 absolute error = 3.633759959598137e-13 relative error = 3.844324724728264e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.77002349789716 y[1] (closed_form) = -0.961072524896168 y[1] (numeric) = -0.961072524895801 absolute error = 3.670397319410768e-13 relative error = 3.819063831636752e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.780028053239238 y[1] (closed_form) = -0.976998905293943 y[1] (numeric) = -0.9769989052935716 absolute error = 3.713696017371149e-13 relative error = 3.801126078287503e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.790032608581317 y[1] (closed_form) = -0.9930056611142164 y[1] (numeric) = -0.9930056611138405 absolute error = 3.75921516138078e-13 relative error = 3.785693585233641e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.800037163923395 y[1] (closed_form) = -1.009092191594986 y[1] (numeric) = -1.009092191594606 absolute error = 3.803624082365786e-13 relative error = 3.769352408082479e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.810041719265473 y[1] (closed_form) = -1.025257887989579 y[1] (numeric) = -1.025257887989194 absolute error = 3.848033003350793e-13 relative error = 3.753234233482829e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.820046274607552 y[1] (closed_form) = -1.041502133627584 y[1] (numeric) = -1.041502133627195 absolute error = 3.892441924335799e-13 relative error = 3.737334565775974e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.83005082994963 y[1] (closed_form) = -1.057824303976573 y[1] (numeric) = -1.05782430397618 absolute error = 3.930189507173054e-13 relative error = 3.715351871193246e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.840055385291709 y[1] (closed_form) = -1.074223766704611 y[1] (numeric) = -1.074223766704213 absolute error = 3.97459842815806e-13 relative error = 3.699972530258672e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.850059940633787 y[1] (closed_form) = -1.090699881743544 y[1] (numeric) = -1.090699881743142 absolute error = 4.019007349143067e-13 relative error = 3.684796722191315e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.860064495975866 y[1] (closed_form) = -1.107252001353069 y[1] (numeric) = -1.107252001352662 absolute error = 4.070077608275824e-13 relative error = 3.675836759204014e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.870069051317944 y[1] (closed_form) = -1.123879470185561 y[1] (numeric) = -1.123879470185149 absolute error = 4.118927421359331e-13 relative error = 3.664919175611657e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.880073606660023 y[1] (closed_form) = -1.14058162535167 y[1] (numeric) = -1.140581625351254 absolute error = 4.156675004196586e-13 relative error = 3.644346806757456e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.890078162002101 y[1] (closed_form) = -1.157357796486669 y[1] (numeric) = -1.157357796486248 absolute error = 4.207745263329343e-13 relative error = 3.63564774532351e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.900082717344179 y[1] (closed_form) = -1.174207305817551 y[1] (numeric) = -1.174207305817125 absolute error = 4.25659507641285e-13 relative error = 3.625079707240591e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.910087272686258 y[1] (closed_form) = -1.191129468230867 y[1] (numeric) = -1.191129468230437 absolute error = 4.298783551348606e-13 relative error = 3.60899773366652e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.920091828028336 y[1] (closed_form) = -1.208123591341301 y[1] (numeric) = -1.208123591340867 absolute error = 4.347633364432113e-13 relative error = 3.598666059989125e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.930096383370415 y[1] (closed_form) = -1.225188975560969 y[1] (numeric) = -1.225188975560529 absolute error = 4.39426273146637e-13 relative error = 3.586599960593344e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.940100938712493 y[1] (closed_form) = -1.24232491416944 y[1] (numeric) = -1.242324914168997 absolute error = 4.434230760352875e-13 relative error = 3.569300357561768e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.950105494054572 y[1] (closed_form) = -1.259530693384477 y[1] (numeric) = -1.25953069338403 absolute error = 4.476419235288631e-13 relative error = 3.554037435372117e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.96011004939665 y[1] (closed_form) = -1.276805592433474 y[1] (numeric) = -1.276805592433021 absolute error = 4.523048602322888e-13 relative error = 3.542472424249313e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.970114604738729 y[1] (closed_form) = -1.2941488836256 y[1] (numeric) = -1.294148883625142 absolute error = 4.580780199603396e-13 relative error = 3.53960835384735e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.980119160080807 y[1] (closed_form) = -1.311559832424637 y[1] (numeric) = -1.311559832424174 absolute error = 4.627409566637652e-13 relative error = 3.528172678240012e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.990123715422885 y[1] (closed_form) = -1.329037697522494 y[1] (numeric) = -1.329037697522027 absolute error = 4.676259379721159e-13 relative error = 3.518530278289576e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.000128270764963 y[1] (closed_form) = -1.346581730913411 y[1] (numeric) = -1.34658173091294 absolute error = 4.716227408607665e-13 relative error = 3.502369964137684e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.010132826107042 y[1] (closed_form) = -1.364191177968823 y[1] (numeric) = -1.364191177968348 absolute error = 4.75397499144492e-13 relative error = 3.484830475537327e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.02013738144912 y[1] (closed_form) = -1.381865277512892 y[1] (numeric) = -1.381865277512413 absolute error = 4.796163466380676e-13 relative error = 3.470789478850575e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.030141936791199 y[1] (closed_form) = -1.399603261898694 y[1] (numeric) = -1.399603261898209 absolute error = 4.849454171562684e-13 relative error = 3.464877728981527e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.039985128337437 y[1] (closed_form) = -1.417116745983651 y[1] (numeric) = -1.417116745983161 absolute error = 4.89608353859694e-13 relative error = 3.454961316682815e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.049989683679516 y[1] (closed_form) = -1.434979172507433 y[1] (numeric) = -1.434979172506939 absolute error = 4.947153797729698e-13 relative error = 3.447543973119283e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.059994239021594 y[1] (closed_form) = -1.452903155613319 y[1] (numeric) = -1.452903155612819 absolute error = 4.993783164763954e-13 relative error = 3.43710669597652e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.069998794363673 y[1] (closed_form) = -1.470887902643464 y[1] (numeric) = -1.47088790264296 absolute error = 5.03819208574896e-13 relative error = 3.425272637496287e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.080003349705751 y[1] (closed_form) = -1.488932614858147 y[1] (numeric) = -1.488932614857639 absolute error = 5.087041898832467e-13 relative error = 3.416569593592466e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.09000790504783 y[1] (closed_form) = -1.507036487515713 y[1] (numeric) = -1.5070364875152 absolute error = 5.129230373768223e-13 relative error = 3.403521027034686e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.100012460389908 y[1] (closed_form) = -1.525198709953119 y[1] (numeric) = -1.525198709952601 absolute error = 5.18030063290098e-13 relative error = 3.396475881532977e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.110017015731986 y[1] (closed_form) = -1.54341846566708 y[1] (numeric) = -1.543418465666556 absolute error = 5.235811784132238e-13 relative error = 3.392347506914964e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.120021571074065 y[1] (closed_form) = -1.561694932395784 y[1] (numeric) = -1.561694932395256 absolute error = 5.286882043264995e-13 relative error = 3.385348785856935e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.130026126416143 y[1] (closed_form) = -1.5800272822012 y[1] (numeric) = -1.580027282200666 absolute error = 5.335731856348502e-13 relative error = 3.376987167534905e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.140030681758222 y[1] (closed_form) = -1.598414681551941 y[1] (numeric) = -1.598414681551402 absolute error = 5.382361223382759e-13 relative error = 3.367312178437257e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.1500352371003 y[1] (closed_form) = -1.616856291406697 y[1] (numeric) = -1.616856291406154 absolute error = 5.431211036466266e-13 relative error = 3.359117978098725e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.160039792442379 y[1] (closed_form) = -1.635351267298211 y[1] (numeric) = -1.635351267297663 absolute error = 5.477840403500522e-13 relative error = 3.349641458101259e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.170044347784457 y[1] (closed_form) = -1.653898759417806 y[1] (numeric) = -1.653898759417253 absolute error = 5.53335155473178e-13 relative error = 3.345641033481149e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.180048903126536 y[1] (closed_form) = -1.672497912700439 y[1] (numeric) = -1.672497912699881 absolute error = 5.579980921766037e-13 relative error = 3.336315626700257e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.190053458468614 y[1] (closed_form) = -1.691147866910285 y[1] (numeric) = -1.691147866909722 absolute error = 5.624389842751043e-13 relative error = 3.325782418439118e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.200058013810692 y[1] (closed_form) = -1.709847756726841 y[1] (numeric) = -1.709847756726273 absolute error = 5.679900993982301e-13 relative error = 3.321875279033805e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.210062569152771 y[1] (closed_form) = -1.728596711831534 y[1] (numeric) = -1.728596711830961 absolute error = 5.726530361016557e-13 relative error = 3.312820348332732e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.220067124494849 y[1] (closed_form) = -1.747393856994832 y[1] (numeric) = -1.747393856994254 absolute error = 5.779821066198565e-13 relative error = 3.307680774464151e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.230071679836928 y[1] (closed_form) = -1.766238312163845 y[1] (numeric) = -1.766238312163262 absolute error = 5.830891325331322e-13 relative error = 3.301304974065368e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.240076235179006 y[1] (closed_form) = -1.785129192550413 y[1] (numeric) = -1.785129192549827 absolute error = 5.866418462119327e-13 relative error = 3.286271092647349e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.250080790521085 y[1] (closed_form) = -1.80406560871966 y[1] (numeric) = -1.804065608719069 absolute error = 5.917488721252084e-13 relative error = 3.280085099261832e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.260085345863163 y[1] (closed_form) = -1.823046666679021 y[1] (numeric) = -1.823046666678426 absolute error = 5.95967719618784e-13 relative error = 3.269075501530836e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.270089901205242 y[1] (closed_form) = -1.842071467967722 y[1] (numeric) = -1.842071467967121 absolute error = 6.012967901369848e-13 relative error = 3.264242460692198e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.28009445654732 y[1] (closed_form) = -1.861139109746705 y[1] (numeric) = -1.861139109746098 absolute error = 6.066258606551855e-13 relative error = 3.259433201302967e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.290099011889398 y[1] (closed_form) = -1.880248684888995 y[1] (numeric) = -1.880248684888383 absolute error = 6.115108419635362e-13 relative error = 3.25228703457191e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.300103567231477 y[1] (closed_form) = -1.899399282070495 y[1] (numeric) = -1.899399282069879 absolute error = 6.161737786669619e-13 relative error = 3.244045548944737e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.310108122573555 y[1] (closed_form) = -1.9185899858612 y[1] (numeric) = -1.918589985860578 absolute error = 6.219469383950127e-13 relative error = 3.241687609016882e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.320112677915634 y[1] (closed_form) = -1.937819876816823 y[1] (numeric) = -1.937819876816196 absolute error = 6.270539643082884e-13 relative error = 3.235873322438637e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.330117233257712 y[1] (closed_form) = -1.957088031570821 y[1] (numeric) = -1.957088031570189 absolute error = 6.319389456166391e-13 relative error = 3.228975577094633e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.340121788599791 y[1] (closed_form) = -1.976393522926817 y[1] (numeric) = -1.97639352292618 absolute error = 6.370459715299148e-13 relative error = 3.223274940643001e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.350126343941869 y[1] (closed_form) = -1.995735419951404 y[1] (numeric) = -1.995735419950761 absolute error = 6.430411758628907e-13 relative error = 3.22207628042473e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.360130899283948 y[1] (closed_form) = -2.015112788067318 y[1] (numeric) = -2.01511278806667 absolute error = 6.479261571712414e-13 relative error = 3.215334451788493e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.370135454626026 y[1] (closed_form) = -2.034524689146985 y[1] (numeric) = -2.034524689146332 absolute error = 6.532552276894421e-13 relative error = 3.210849350583857e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.380140009968104 y[1] (closed_form) = -2.053970181606417 y[1] (numeric) = -2.053970181605759 absolute error = 6.585842982076429e-13 relative error = 3.206396587960989e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.390144565310183 y[1] (closed_form) = -2.073448320499453 y[1] (numeric) = -2.073448320498791 absolute error = 6.616929226765933e-13 relative error = 3.191267976803031e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.399987756856421 y[1] (closed_form) = -2.092643236300216 y[1] (numeric) = -2.09264323629955 absolute error = 6.661338147750939e-13 relative error = 3.183217297721592e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.4099923121985 y[1] (closed_form) = -2.112183331894852 y[1] (numeric) = -2.112183331894181 absolute error = 6.705747068735946e-13 relative error = 3.174794047219462e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.419996867540578 y[1] (closed_form) = -2.131753235277509 y[1] (numeric) = -2.131753235276832 absolute error = 6.772360450213455e-13 relative error = 3.176896996397352e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.430001422882657 y[1] (closed_form) = -2.1513519890497 y[1] (numeric) = -2.151351989049016 absolute error = 6.834532939592464e-13 relative error = 3.176854821702807e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.440005978224735 y[1] (closed_form) = -2.170978632925296 y[1] (numeric) = -2.170978632924608 absolute error = 6.87894186057747e-13 relative error = 3.1685903104944e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.450010533566814 y[1] (closed_form) = -2.190632203826638 y[1] (numeric) = -2.190632203825945 absolute error = 6.927791673660977e-13 relative error = 3.162462261606206e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.460015088908892 y[1] (closed_form) = -2.210311735980936 y[1] (numeric) = -2.210311735980238 absolute error = 6.976641486744484e-13 relative error = 3.156406118274647e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.470019644250971 y[1] (closed_form) = -2.230016261016927 y[1] (numeric) = -2.230016261016225 absolute error = 7.016609515630989e-13 relative error = 3.146438722572943e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.480024199593049 y[1] (closed_form) = -2.249744808061805 y[1] (numeric) = -2.249744808061098 absolute error = 7.065459328714496e-13 relative error = 3.140560344175887e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.490028754935127 y[1] (closed_form) = -2.269496403838394 y[1] (numeric) = -2.269496403837682 absolute error = 7.118750033896504e-13 relative error = 3.13670910509335e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.500033310277206 y[1] (closed_form) = -2.289270072762564 y[1] (numeric) = -2.289270072761846 absolute error = 7.180922523275513e-13 relative error = 3.136773860241826e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.510037865619284 y[1] (closed_form) = -2.309064837040875 y[1] (numeric) = -2.309064837040152 absolute error = 7.23421322845752e-13 relative error = 3.13296236312201e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.520042420961363 y[1] (closed_form) = -2.328879716768451 y[1] (numeric) = -2.328879716767722 absolute error = 7.291944825738028e-13 relative error = 3.13109551052998e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.530046976303441 y[1] (closed_form) = -2.34871373002705 y[1] (numeric) = -2.348713730026317 absolute error = 7.336353746723034e-13 relative error = 3.123562336666095e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.54005153164552 y[1] (closed_form) = -2.368565892983354 y[1] (numeric) = -2.368565892982613 absolute error = 7.407408020299044e-13 relative error = 3.127381020829004e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.550056086987598 y[1] (closed_form) = -2.388435219987433 y[1] (numeric) = -2.388435219986687 absolute error = 7.456257833382551e-13 relative error = 3.121817067084526e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.560060642329677 y[1] (closed_form) = -2.408320723671402 y[1] (numeric) = -2.408320723670652 absolute error = 7.505107646466058e-13 relative error = 3.11632398986493e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.570065197671755 y[1] (closed_form) = -2.428221415048251 y[1] (numeric) = -2.428221415047494 absolute error = 7.571721027943568e-13 relative error = 3.118216889538926e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.580069753013833 y[1] (closed_form) = -2.448136303610827 y[1] (numeric) = -2.448136303610065 absolute error = 7.620570841027074e-13 relative error = 3.112804965061494e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.590074308355912 y[1] (closed_form) = -2.468064397430975 y[1] (numeric) = -2.468064397430209 absolute error = 7.664979762012081e-13 relative error = 3.105664410535888e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.60007886369799 y[1] (closed_form) = -2.488004703258826 y[1] (numeric) = -2.488004703258053 absolute error = 7.73159314348959e-13 relative error = 3.107547639826658e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.610083419040069 y[1] (closed_form) = -2.507956226622204 y[1] (numeric) = -2.507956226621427 absolute error = 7.776002064474596e-13 relative error = 3.100533407214832e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.620087974382147 y[1] (closed_form) = -2.527917971926168 y[1] (numeric) = -2.527917971925384 absolute error = 7.842615445952106e-13 relative error = 3.102401079880119e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.630092529724226 y[1] (closed_form) = -2.54788894255266 y[1] (numeric) = -2.547888942551872 absolute error = 7.882583474838611e-13 relative error = 3.093770432137151e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.640097085066304 y[1] (closed_form) = -2.567868140960257 y[1] (numeric) = -2.567868140959463 absolute error = 7.94031507211912e-13 relative error = 3.092181777351632e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.650101640408383 y[1] (closed_form) = -2.587854568784014 y[1] (numeric) = -2.587854568783213 absolute error = 8.006928453596629e-13 relative error = 3.094041122009009e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.660106195750461 y[1] (closed_form) = -2.607847226935391 y[1] (numeric) = -2.607847226934585 absolute error = 8.064660050877137e-13 relative error = 3.092458778865782e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.670110751092539 y[1] (closed_form) = -2.627845115702256 y[1] (numeric) = -2.627845115701444 absolute error = 8.122391648157645e-13 relative error = 3.090894360410981e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.680115306434618 y[1] (closed_form) = -2.647847234848941 y[1] (numeric) = -2.647847234848123 absolute error = 8.175682353339653e-13 relative error = 3.08767146598851e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.690119861776696 y[1] (closed_form) = -2.667852583716356 y[1] (numeric) = -2.667852583715534 absolute error = 8.22453216642316e-13 relative error = 3.08282857029764e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.700124417118775 y[1] (closed_form) = -2.687860161322151 y[1] (numeric) = -2.687860161321324 absolute error = 8.273381979506667e-13 relative error = 3.078055212305767e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.710128972460853 y[1] (closed_form) = -2.707868966460899 y[1] (numeric) = -2.707868966460066 absolute error = 8.331113576787175e-13 relative error = 3.076630989155905e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.720133527802932 y[1] (closed_form) = -2.727877997804309 y[1] (numeric) = -2.727877997803471 absolute error = 8.379963389870682e-13 relative error = 3.071971472556977e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.73013808314501 y[1] (closed_form) = -2.74788625400145 y[1] (numeric) = -2.747886254000607 absolute error = 8.428813202954188e-13 relative error = 3.067380678759981e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.740142638487089 y[1] (closed_form) = -2.767892733778974 y[1] (numeric) = -2.767892733778126 absolute error = 8.477663016037695e-13 relative error = 3.062858221555152e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.749985830033327 y[1] (closed_form) = -2.787573822972013 y[1] (numeric) = -2.78757382297116 absolute error = 8.526512829121202e-13 relative error = 3.05875767624713e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.759990385375406 y[1] (closed_form) = -2.807573815781601 y[1] (numeric) = -2.807573815780743 absolute error = 8.57980353430321e-13 relative error = 3.055949405880421e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.769994940717484 y[1] (closed_form) = -2.82756904595171 y[1] (numeric) = -2.827569045950848 absolute error = 8.610889778992714e-13 relative error = 3.045333160412513e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.779999496059562 y[1] (closed_form) = -2.847558513512771 y[1] (numeric) = -2.847558513511905 absolute error = 8.664180484174722e-13 relative error = 3.04266986720723e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.790004051401641 y[1] (closed_form) = -2.867541219071999 y[1] (numeric) = -2.867541219071127 absolute error = 8.717471189356729e-13 relative error = 3.040050874029947e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.800008606743719 y[1] (closed_form) = -2.887516163913415 y[1] (numeric) = -2.887516163912537 absolute error = 8.784084570834239e-13 relative error = 3.042090181385955e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.810013162085798 y[1] (closed_form) = -2.907482350097818 y[1] (numeric) = -2.907482350096935 absolute error = 8.832934383917745e-13 relative error = 3.038001033306556e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.820017717427876 y[1] (closed_form) = -2.927438780562659 y[1] (numeric) = -2.927438780561771 absolute error = 8.881784197001252e-13 relative error = 3.033977774692921e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.830022272769955 y[1] (closed_form) = -2.947384459221844 y[1] (numeric) = -2.947384459220951 absolute error = 8.93507490218326e-13 relative error = 3.031526774264889e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.840026828112033 y[1] (closed_form) = -2.96731839106543 y[1] (numeric) = -2.967318391064531 absolute error = 8.992806499463768e-13 relative error = 3.030617316477069e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.850031383454112 y[1] (closed_form) = -2.987239582259217 y[1] (numeric) = -2.987239582258312 absolute error = 9.046097204645775e-13 relative error = 3.02824629747451e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.86003593879619 y[1] (closed_form) = -3.007147040244218 y[1] (numeric) = -3.007147040243308 absolute error = 9.103828801926284e-13 relative error = 3.027397290551824e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.870040494138268 y[1] (closed_form) = -3.02703977383601 y[1] (numeric) = -3.027039773835092 absolute error = 9.174883075502294e-13 relative error = 3.030975395435734e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.880045049480347 y[1] (closed_form) = -3.046916793323936 y[1] (numeric) = -3.046916793323014 absolute error = 9.223732888585801e-13 relative error = 3.027234911303063e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.890049604822425 y[1] (closed_form) = -3.066777110570171 y[1] (numeric) = -3.066777110569243 absolute error = 9.281464485866309e-13 relative error = 3.026455510534547e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.900054160164504 y[1] (closed_form) = -3.086619739108619 y[1] (numeric) = -3.086619739107686 absolute error = 9.330314298949816e-13 relative error = 3.022825967426847e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.910058715506582 y[1] (closed_form) = -3.106443694243656 y[1] (numeric) = -3.106443694242715 absolute error = 9.405809464624326e-13 relative error = 3.02783838704484e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.920063270848661 y[1] (closed_form) = -3.12624799314868 y[1] (numeric) = -3.126247993147735 absolute error = 9.454659277707833e-13 relative error = 3.024283197759155e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.930067826190739 y[1] (closed_form) = -3.14603165496449 y[1] (numeric) = -3.14603165496354 absolute error = 9.507949982889841e-13 relative error = 3.022204168825236e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.940072381532818 y[1] (closed_form) = -3.165793700897457 y[1] (numeric) = -3.1657937008965 absolute error = 9.57456336436735e-13 relative error = 3.024380066728005e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.950076936874896 y[1] (closed_form) = -3.18553315431749 y[1] (numeric) = -3.185533154316528 absolute error = 9.627854069549358e-13 relative error = 3.022368188665785e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.960081492216974 y[1] (closed_form) = -3.205249040855791 y[1] (numeric) = -3.205249040854823 absolute error = 9.681144774731365e-13 relative error = 3.020403298255579e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.970086047559053 y[1] (closed_form) = -3.224940388502378 y[1] (numeric) = -3.224940388501406 absolute error = 9.71667191151937e-13 relative error = 3.012977215380924e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.980090602901131 y[1] (closed_form) = -3.244606227703374 y[1] (numeric) = -3.244606227702397 absolute error = 9.761080832504376e-13 relative error = 3.008402298300941e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.99009515824321 y[1] (closed_form) = -3.264245591458047 y[1] (numeric) = -3.264245591457065 absolute error = 9.814371537686384e-13 relative error = 3.006627798891375e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001613637958399319 NO POLE (given) for Equation 1 NO 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 ) - 1 , 0 ; Iterations = 22740 Total Elapsed Time = 1.0 Seconds Elapsed Time(since restart) = 1.0 Seconds Time to Timeout = 2 Minutes 59.0 Seconds Percent Done = 100 %