##############ECHO OF PROBLEM################# ##############temp/h2sinpostode.ode################# diff ( y , x , 2 ) = sin ( x ) ; ! // 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); array_y_init[1 + 1] = exact_soln_yp(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) - sin(c(x))); } double exact_soln_yp (double x) { return(neg( cos(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) = 1.900166583353172 y[1] (numeric) = 1.900166583353172 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) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (closed_form) = 1.890221699162825 y[1] (numeric) = 1.890221699162825 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) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (closed_form) = 1.880287792711081 y[1] (numeric) = 1.880287792711081 absolute error = 2.220446049250313e-16 relative error = 1.180907549289983e-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 = 0.1189 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (closed_form) = 1.870365857380305 y[1] (numeric) = 1.870365857380306 absolute error = 6.661338147750939e-16 relative error = 3.561516118071694e-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) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (closed_form) = 1.860456885355763 y[1] (numeric) = 1.860456885355764 absolute error = 6.661338147750939e-16 relative error = 3.580485094916421e-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 = 0.1382 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (closed_form) = 1.850561867526401 y[1] (numeric) = 1.850561867526402 absolute error = 6.661338147750939e-16 relative error = 3.599630071625209e-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) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600000000000001 y[1] (closed_form) = 1.840681793385754 y[1] (numeric) = 1.840681793385755 absolute error = 8.881784197001252e-16 relative error = 4.825268674312294e-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) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1700000000000001 y[1] (closed_form) = 1.830817650933004 y[1] (numeric) = 1.830817650933005 absolute error = 1.110223024625157e-15 relative error = 6.064083029019167e-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) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800000000000001 y[1] (closed_form) = 1.820970426574176 y[1] (numeric) = 1.820970426574177 absolute error = 8.881784197001252e-16 relative error = 4.877500516969247e-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) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (closed_form) = 1.811141105023499 y[1] (numeric) = 1.8111411050235 absolute error = 1.110223024625157e-15 relative error = 6.12996426145798e-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) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (closed_form) = 1.801330669204939 y[1] (numeric) = 1.80133066920494 absolute error = 1.110223024625157e-15 relative error = 6.163349370580475e-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) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (closed_form) = 1.7915401001539 y[1] (numeric) = 1.791540100153902 absolute error = 1.110223024625157e-15 relative error = 6.197031395109626e-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) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (closed_form) = 1.781770376919131 y[1] (numeric) = 1.781770376919132 absolute error = 1.110223024625157e-15 relative error = 6.231010679080036e-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 = 0.213 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (closed_form) = 1.772022476464811 y[1] (numeric) = 1.772022476464813 absolute error = 1.332267629550188e-15 relative error = 7.518344982892456e-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 = 0.222 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (closed_form) = 1.762297373572865 y[1] (numeric) = 1.762297373572866 absolute error = 8.881784197001252e-16 relative error = 5.039889595360632e-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 = 0.2309 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (closed_form) = 1.752596040745477 y[1] (numeric) = 1.752596040745478 absolute error = 8.881784197001252e-16 relative error = 5.067787436757721e-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 = 0.2397 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (closed_form) = 1.742919448107845 y[1] (numeric) = 1.742919448107846 absolute error = 8.881784197001252e-16 relative error = 5.09592351307086e-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 = 0.2484 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (closed_form) = 1.733268563311169 y[1] (numeric) = 1.73326856331117 absolute error = 1.110223024625157e-15 relative error = 6.405372185971168e-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 = 0.2571 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (closed_form) = 1.723644351435886 y[1] (numeric) = 1.723644351435887 absolute error = 1.110223024625157e-15 relative error = 6.441137486977998e-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 = 0.2656 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (closed_form) = 1.714047774895164 y[1] (numeric) = 1.714047774895165 absolute error = 8.881784197001252e-16 relative error = 5.181759999393532e-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) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (closed_form) = 1.70447979333866 y[1] (numeric) = 1.704479793338661 absolute error = 1.110223024625157e-15 relative error = 6.513559321524724e-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) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (closed_form) = 1.694941363556556 y[1] (numeric) = 1.694941363556557 absolute error = 8.881784197001252e-16 relative error = 5.240171954010424e-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) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (closed_form) = 1.685433439383882 y[1] (numeric) = 1.685433439383883 absolute error = 6.661338147750939e-16 relative error = 3.952299742068735e-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 = 0.2986 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (closed_form) = 1.675956971605131 y[1] (numeric) = 1.675956971605132 absolute error = 8.881784197001252e-16 relative error = 5.299529968537802e-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) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (closed_form) = 1.666512907859185 y[1] (numeric) = 1.666512907859186 absolute error = 1.110223024625157e-15 relative error = 6.661952748096966e-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) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (closed_form) = 1.657102192544548 y[1] (numeric) = 1.657102192544549 absolute error = 1.110223024625157e-15 relative error = 6.69978610625313e-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 = 0.3221 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (closed_form) = 1.64772576672491 y[1] (numeric) = 1.647725766724911 absolute error = 8.881784197001252e-16 relative error = 5.390329129012205e-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 = 0.3297 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (closed_form) = 1.638384568035038 y[1] (numeric) = 1.638384568035039 absolute error = 1.110223024625157e-15 relative error = 6.776327403746724e-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) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (closed_form) = 1.629079530587017 y[1] (numeric) = 1.629079530587018 absolute error = 8.881784197001252e-16 relative error = 5.452026147428677e-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) = 32.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (closed_form) = 1.619811584876838 y[1] (numeric) = 1.619811584876839 absolute error = 8.881784197001252e-16 relative error = 5.483220567086248e-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 = 0.3516 Order of pole (three term test) = 32.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (closed_form) = 1.610581657691349 y[1] (numeric) = 1.610581657691351 absolute error = 1.332267629550188e-15 relative error = 8.271965740997547e-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) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (closed_form) = 1.601390672015577 y[1] (numeric) = 1.601390672015578 absolute error = 1.332267629550188e-15 relative error = 8.319441675486597e-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 = 0.3656 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (closed_form) = 1.59223954694043 y[1] (numeric) = 1.592239546940431 absolute error = 1.110223024625157e-15 relative error = 6.972713538980409e-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) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (closed_form) = 1.583129197570789 y[1] (numeric) = 1.58312919757079 absolute error = 1.110223024625157e-15 relative error = 7.012839042629768e-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) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (closed_form) = 1.574060534934 y[1] (numeric) = 1.574060534934001 absolute error = 1.110223024625157e-15 relative error = 7.053242235513565e-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) = 32.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (closed_form) = 1.56503446588877 y[1] (numeric) = 1.565034465888771 absolute error = 1.332267629550188e-15 relative error = 8.512704726880277e-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 = 0.3917 Order of pole (three term test) = 32.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (closed_form) = 1.55605189303448 y[1] (numeric) = 1.556051893034481 absolute error = 1.110223024625157e-15 relative error = 7.134871462802529e-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) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (closed_form) = 1.547113714620932 y[1] (numeric) = 1.547113714620933 absolute error = 1.110223024625157e-15 relative error = 7.176091932564761e-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 = 0.4038 Order of pole (three term test) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (closed_form) = 1.538220824458517 y[1] (numeric) = 1.538220824458518 absolute error = 6.661338147750939e-16 relative error = 4.330547371243565e-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) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (closed_form) = 1.529374111828842 y[1] (numeric) = 1.529374111828842 absolute error = 6.661338147750939e-16 relative error = 4.355597558654397e-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) = 32.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (closed_form) = 1.520574461395797 y[1] (numeric) = 1.520574461395798 absolute error = 1.332267629550188e-15 relative error = 8.761607296279628e-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) = 32.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (closed_form) = 1.511822753117092 y[1] (numeric) = 1.511822753117094 absolute error = 1.332267629550188e-15 relative error = 8.812326886887397e-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) = 32.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (closed_form) = 1.503119862156263 y[1] (numeric) = 1.503119862156264 absolute error = 1.332267629550188e-15 relative error = 8.863349245076282e-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) = 32.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (closed_form) = 1.494466658795153 y[1] (numeric) = 1.494466658795154 absolute error = 1.332267629550188e-15 relative error = 8.914669468934618e-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 = 0.4362 Order of pole (three term test) = 32.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (closed_form) = 1.485864008346887 y[1] (numeric) = 1.485864008346888 absolute error = 1.332267629550188e-15 relative error = 8.966282392373283e-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) = 32.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (closed_form) = 1.477312771069341 y[1] (numeric) = 1.477312771069342 absolute error = 1.554312234475219e-15 relative error = 1.052121300860442e-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 = 0.4456 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (closed_form) = 1.468813802079116 y[1] (numeric) = 1.468813802079118 absolute error = 1.554312234475219e-15 relative error = 1.058209170062999e-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 = 0.4501 Order of pole (three term test) = 32.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (closed_form) = 1.460367951266031 y[1] (numeric) = 1.460367951266032 absolute error = 1.554312234475219e-15 relative error = 1.064329187125577e-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 = 0.4543 Order of pole (three term test) = 32.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (closed_form) = 1.451976063208126 y[1] (numeric) = 1.451976063208128 absolute error = 1.998401444325282e-15 relative error = 1.37633222403807e-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 = 0.4584 Order of pole (three term test) = 32.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (closed_form) = 1.443638977087216 y[1] (numeric) = 1.443638977087218 absolute error = 1.77635683940025e-15 relative error = 1.230471653643176e-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 = 0.4623 Order of pole (three term test) = 32.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (closed_form) = 1.435357526604964 y[1] (numeric) = 1.435357526604966 absolute error = 1.998401444325282e-15 relative error = 1.392267367038566e-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 = 0.466 Order of pole (three term test) = 32.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (closed_form) = 1.427132539899518 y[1] (numeric) = 1.42713253989952 absolute error = 1.998401444325282e-15 relative error = 1.400291415446238e-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 = 0.4695 Order of pole (three term test) = 32.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (closed_form) = 1.418964839462695 y[1] (numeric) = 1.418964839462696 absolute error = 1.77635683940025e-15 relative error = 1.251868115402272e-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 = 0.4729 Order of pole (three term test) = 32.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (closed_form) = 1.41085524205773 y[1] (numeric) = 1.410855242057732 absolute error = 2.220446049250313e-15 relative error = 1.573829818296451e-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 = 0.476 Order of pole (three term test) = 32.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (closed_form) = 1.402804558637607 y[1] (numeric) = 1.402804558637609 absolute error = 1.77635683940025e-15 relative error = 1.266289611380672e-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 = 0.479 Order of pole (three term test) = 32.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (closed_form) = 1.39481359426396 y[1] (numeric) = 1.394813594263961 absolute error = 1.332267629550188e-15 relative error = 9.551581910507708e-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 = 0.4818 Order of pole (three term test) = 32.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (closed_form) = 1.386883148026566 y[1] (numeric) = 1.386883148026567 absolute error = 1.332267629550188e-15 relative error = 9.606199566603056e-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) = 32.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (closed_form) = 1.37901401296344 y[1] (numeric) = 1.379014012963441 absolute error = 1.110223024625157e-15 relative error = 8.050846577253676e-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) = 32.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (closed_form) = 1.371206975981531 y[1] (numeric) = 1.371206975981532 absolute error = 8.881784197001252e-16 relative error = 6.477347586890399e-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) = 32.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (closed_form) = 1.363462817778032 y[1] (numeric) = 1.363462817778032 absolute error = 4.440892098500626e-16 relative error = 3.257068722811033e-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 = 0.4909 Order of pole (three term test) = 32.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (closed_form) = 1.355782312762309 y[1] (numeric) = 1.355782312762309 absolute error = 4.440892098500626e-16 relative error = 3.275520012834973e-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) = 32.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (closed_form) = 1.348166228978463 y[1] (numeric) = 1.348166228978463 absolute error = 6.661338147750939e-16 relative error = 4.941036205007443e-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) = 32.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (closed_form) = 1.340615328028526 y[1] (numeric) = 1.340615328028527 absolute error = 4.440892098500626e-16 relative error = 3.312577445337198e-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) = 32.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (closed_form) = 1.333130364996302 y[1] (numeric) = 1.333130364996302 absolute error = 4.440892098500626e-16 relative error = 3.331176166340601e-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 = 0.4969 Order of pole (three term test) = 32.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (closed_form) = 1.325712088371855 y[1] (numeric) = 1.325712088371855 absolute error = 4.440892098500626e-16 relative error = 3.349816402409527e-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) = 32.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (closed_form) = 1.318361239976666 y[1] (numeric) = 1.318361239976666 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 = 0.4987 Order of pole (three term test) = 32.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (closed_form) = 1.311078554889448 y[1] (numeric) = 1.311078554889448 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 = 0.4994 Order of pole (three term test) = 32.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (closed_form) = 1.303864761372643 y[1] (numeric) = 1.303864761372643 absolute error = 2.220446049250313e-16 relative error = 1.702972666362069e-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) = 32.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (closed_form) = 1.296720580799589 y[1] (numeric) = 1.29672058079959 absolute error = 4.440892098500626e-16 relative error = 3.424710122023562e-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) = 32.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (closed_form) = 1.289646727582392 y[1] (numeric) = 1.289646727582392 absolute error = 2.220446049250313e-16 relative error = 1.7217475156261e-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) = 1.282643909100477 y[1] (numeric) = 1.282643909100477 absolute error = 2.220446049250313e-16 relative error = 1.731147696953179e-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) = 32.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (closed_form) = 1.275712825629857 y[1] (numeric) = 1.275712825629857 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 = 0.4994 Order of pole (three term test) = 32.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (closed_form) = 1.268854170273104 y[1] (numeric) = 1.268854170273104 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 = 0.4988 Order of pole (three term test) = 32.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (closed_form) = 1.262068628890037 y[1] (numeric) = 1.262068628890037 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 = 0.498 Order of pole (three term test) = 32.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (closed_form) = 1.25535688002914 y[1] (numeric) = 1.255356880029141 absolute error = 4.440892098500626e-16 relative error = 3.537553479132994e-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 = 0.497 Order of pole (three term test) = 32.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (closed_form) = 1.248719594859707 y[1] (numeric) = 1.248719594859707 absolute error = 4.440892098500626e-16 relative error = 3.556356540556696e-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) = 32.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (closed_form) = 1.242157437104723 y[1] (numeric) = 1.242157437104723 absolute error = 2.220446049250313e-16 relative error = 1.787572157057507e-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) = 32.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (closed_form) = 1.235671062974494 y[1] (numeric) = 1.235671062974495 absolute error = 4.440892098500626e-16 relative error = 3.593911220847527e-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) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (closed_form) = 1.22926112110103 y[1] (numeric) = 1.229261121101031 absolute error = 4.440892098500626e-16 relative error = 3.612651553254192e-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) = 32.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (closed_form) = 1.222928252473176 y[1] (numeric) = 1.222928252473176 absolute error = 4.440892098500626e-16 relative error = 3.631359476338563e-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) = 32.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (closed_form) = 1.216673090372516 y[1] (numeric) = 1.216673090372517 absolute error = 4.440892098500626e-16 relative error = 3.650029028866687e-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) = 32.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (closed_form) = 1.210496260310049 y[1] (numeric) = 1.21049626031005 absolute error = 6.661338147750939e-16 relative error = 5.502981187273346e-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) = 32.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (closed_form) = 1.204398379963634 y[1] (numeric) = 1.204398379963634 absolute error = 4.440892098500626e-16 relative error = 3.687228555251559e-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) = 32.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (closed_form) = 1.198380059116222 y[1] (numeric) = 1.198380059116223 absolute error = 6.661338147750939e-16 relative error = 5.558618984918293e-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) = 32.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (closed_form) = 1.192441899594885 y[1] (numeric) = 1.192441899594886 absolute error = 8.881784197001252e-16 relative error = 7.4483999597957e-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) = 32.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (closed_form) = 1.186584495210626 y[1] (numeric) = 1.186584495210627 absolute error = 1.332267629550188e-15 relative error = 1.122775187883862e-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 = 0.4732 Order of pole (three term test) = 32.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (closed_form) = 1.180808431699001 y[1] (numeric) = 1.180808431699003 absolute error = 1.554312234475219e-15 relative error = 1.316311937440016e-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 = 0.4698 Order of pole (three term test) = 32.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (closed_form) = 1.175114286661549 y[1] (numeric) = 1.175114286661551 absolute error = 1.332267629550188e-15 relative error = 1.13373451814215e-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 = 0.4663 Order of pole (three term test) = 32.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (closed_form) = 1.169502629508029 y[1] (numeric) = 1.16950262950803 absolute error = 8.881784197001252e-16 relative error = 7.594496987781484e-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) = 32.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (closed_form) = 1.163974021399479 y[1] (numeric) = 1.16397402139948 absolute error = 6.661338147750939e-16 relative error = 5.722926822491985e-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) = 32.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (closed_form) = 1.158529015192103 y[1] (numeric) = 1.158529015192104 absolute error = 6.661338147750939e-16 relative error = 5.749824182561694e-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) = 32.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.01 y[1] (closed_form) = 1.153168155381985 y[1] (numeric) = 1.153168155381985 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 = 0.4504 Order of pole (three term test) = 32.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.019999999999998 y[1] (closed_form) = 1.147891978050638 y[1] (numeric) = 1.147891978050637 absolute error = 4.440892098500626e-16 relative error = 3.868736939901084e-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) = 32.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.029999999999997 y[1] (closed_form) = 1.142701010811398 y[1] (numeric) = 1.142701010811397 absolute error = 1.110223024625157e-15 relative error = 9.715778791836547e-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) = 32.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.039999999999996 y[1] (closed_form) = 1.137595772756663 y[1] (numeric) = 1.137595772756662 absolute error = 1.554312234475219e-15 relative error = 1.366313300117803e-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 = 0.4366 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.049999999999995 y[1] (closed_form) = 1.132576774405985 y[1] (numeric) = 1.132576774405983 absolute error = 1.998401444325282e-15 relative error = 1.764473269702537e-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) = 32.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.059999999999994 y[1] (closed_form) = 1.127644517655017 y[1] (numeric) = 1.127644517655014 absolute error = 2.664535259100376e-15 relative error = 2.362921308429173e-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) = 32.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.069999999999993 y[1] (closed_form) = 1.122799495725322 y[1] (numeric) = 1.122799495725318 absolute error = 3.33066907387547e-15 relative error = 2.966397016168837e-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) = 32.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.079999999999992 y[1] (closed_form) = 1.118042193115056 y[1] (numeric) = 1.118042193115053 absolute error = 3.552713678800501e-15 relative error = 3.177620398119354e-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) = 32.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.089999999999991 y[1] (closed_form) = 1.113373085550517 y[1] (numeric) = 1.113373085550513 absolute error = 3.996802888650564e-15 relative error = 3.5898145379312e-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) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.09999999999999 y[1] (closed_form) = 1.108792639938569 y[1] (numeric) = 1.108792639938565 absolute error = 4.440892098500626e-15 relative error = 4.005160152169359e-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) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.109999999999989 y[1] (closed_form) = 1.104301314319958 y[1] (numeric) = 1.104301314319952 absolute error = 5.329070518200751e-15 relative error = 4.82573954146062e-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) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.119999999999987 y[1] (closed_form) = 1.0998995578235 y[1] (numeric) = 1.099899557823495 absolute error = 5.773159728050814e-15 relative error = 5.248806299617793e-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) = 32.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.129999999999986 y[1] (closed_form) = 1.09558781062118 y[1] (numeric) = 1.095587810621174 absolute error = 5.995204332975845e-15 relative error = 5.472134935105443e-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) = 32.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.139999999999985 y[1] (closed_form) = 1.091366503884123 y[1] (numeric) = 1.091366503884116 absolute error = 6.439293542825908e-15 relative error = 5.900211816936621e-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) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.149999999999984 y[1] (closed_form) = 1.087236059739485 y[1] (numeric) = 1.087236059739479 absolute error = 6.661338147750939e-15 relative error = 6.12685542213075e-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) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.159999999999983 y[1] (closed_form) = 1.08319689122824 y[1] (numeric) = 1.083196891228233 absolute error = 6.661338147750939e-15 relative error = 6.149702054810766e-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) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.169999999999982 y[1] (closed_form) = 1.079249402263871 y[1] (numeric) = 1.079249402263865 absolute error = 6.883382752675971e-15 relative error = 6.377935200369021e-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) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.179999999999981 y[1] (closed_form) = 1.075393987591987 y[1] (numeric) = 1.07539398759198 absolute error = 7.105427357601002e-15 relative error = 6.607278299473679e-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) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.18999999999998 y[1] (closed_form) = 1.071631032750841 y[1] (numeric) = 1.071631032750834 absolute error = 7.105427357601002e-15 relative error = 6.630479279198932e-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) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.199999999999979 y[1] (closed_form) = 1.067960914032781 y[1] (numeric) = 1.067960914032774 absolute error = 7.327471962526033e-15 relative error = 6.861179904849135e-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) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.209999999999978 y[1] (closed_form) = 1.064383998446622 y[1] (numeric) = 1.064383998446615 absolute error = 7.327471962526033e-15 relative error = 6.884237242592763e-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) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.219999999999976 y[1] (closed_form) = 1.060900643680941 y[1] (numeric) = 1.060900643680933 absolute error = 7.327471962526033e-15 relative error = 6.906840905574684e-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) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.229999999999975 y[1] (closed_form) = 1.057511198068311 y[1] (numeric) = 1.057511198068303 absolute error = 7.771561172376096e-15 relative error = 7.348916197362182e-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) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.239999999999974 y[1] (closed_form) = 1.054216000550469 y[1] (numeric) = 1.054216000550461 absolute error = 8.215650382226158e-15 relative error = 7.793137628281372e-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) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.249999999999973 y[1] (closed_form) = 1.051015380644422 y[1] (numeric) = 1.051015380644414 absolute error = 8.43769498715119e-15 relative error = 8.028136545421133e-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) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.259999999999972 y[1] (closed_form) = 1.047909658409493 y[1] (numeric) = 1.047909658409484 absolute error = 8.881784197001252e-15 relative error = 8.475715559757258e-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) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.269999999999971 y[1] (closed_form) = 1.044899144415316 y[1] (numeric) = 1.044899144415308 absolute error = 8.881784197001252e-15 relative error = 8.500135390551155e-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) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.27999999999997 y[1] (closed_form) = 1.041984139710784 y[1] (numeric) = 1.041984139710775 absolute error = 8.881784197001252e-15 relative error = 8.523914960420135e-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) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.289999999999969 y[1] (closed_form) = 1.039164935793936 y[1] (numeric) = 1.039164935793927 absolute error = 9.103828801926284e-15 relative error = 8.760715925206651e-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) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.299999999999968 y[1] (closed_form) = 1.036441814582816 y[1] (numeric) = 1.036441814582807 absolute error = 9.103828801926284e-15 relative error = 8.783733610352954e-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) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.309999999999967 y[1] (closed_form) = 1.033815048387275 y[1] (numeric) = 1.033815048387265 absolute error = 9.103828801926284e-15 relative error = 8.806051736360413e-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) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.319999999999965 y[1] (closed_form) = 1.031284899881743 y[1] (numeric) = 1.031284899881734 absolute error = 9.103828801926284e-15 relative error = 8.827656453585439e-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) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.329999999999964 y[1] (closed_form) = 1.028851622078964 y[1] (numeric) = 1.028851622078955 absolute error = 8.881784197001252e-15 relative error = 8.632716327991151e-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) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.339999999999963 y[1] (closed_form) = 1.026515458304689 y[1] (numeric) = 1.02651545830468 absolute error = 9.325873406851315e-15 relative error = 9.084980972671548e-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) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.349999999999962 y[1] (closed_form) = 1.024276642173349 y[1] (numeric) = 1.02427664217334 absolute error = 9.103828801926284e-15 relative error = 8.88805663146768e-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) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.359999999999961 y[1] (closed_form) = 1.022135397564692 y[1] (numeric) = 1.022135397564683 absolute error = 8.881784197001252e-15 relative error = 8.689439988246876e-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) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.36999999999996 y[1] (closed_form) = 1.020091938601394 y[1] (numeric) = 1.020091938601385 absolute error = 8.659739592076221e-15 relative error = 8.489175597200812e-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) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.379999999999959 y[1] (closed_form) = 1.018146469627648 y[1] (numeric) = 1.01814646962764 absolute error = 8.43769498715119e-15 relative error = 8.287309575641887e-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) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.389999999999958 y[1] (closed_form) = 1.016299185188731 y[1] (numeric) = 1.016299185188723 absolute error = 7.993605777301127e-15 relative error = 7.865406067226828e-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) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.399999999999957 y[1] (closed_form) = 1.014550270011547 y[1] (numeric) = 1.01455027001154 absolute error = 7.549516567451064e-15 relative error = 7.441244451460388e-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) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.409999999999956 y[1] (closed_form) = 1.012899898986157 y[1] (numeric) = 1.01289989898615 absolute error = 7.105427357601002e-15 relative error = 7.014935399552362e-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) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.419999999999954 y[1] (closed_form) = 1.011348237148287 y[1] (numeric) = 1.01134823714828 absolute error = 7.105427357601002e-15 relative error = 7.025698069772955e-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) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.429999999999953 y[1] (closed_form) = 1.009895439662829 y[1] (numeric) = 1.009895439662822 absolute error = 6.661338147750939e-15 relative error = 6.596067163126257e-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) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.439999999999952 y[1] (closed_form) = 1.00854165180832 y[1] (numeric) = 1.008541651808313 absolute error = 6.439293542825908e-15 relative error = 6.384757170197408e-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) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.449999999999951 y[1] (closed_form) = 1.007287008962417 y[1] (numeric) = 1.007287008962411 absolute error = 5.995204332975845e-15 relative error = 5.951833270590241e-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) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.45999999999995 y[1] (closed_form) = 1.006131636588361 y[1] (numeric) = 1.006131636588355 absolute error = 5.995204332975845e-15 relative error = 5.958667946576724e-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) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.469999999999949 y[1] (closed_form) = 1.005075650222424 y[1] (numeric) = 1.005075650222419 absolute error = 5.551115123125783e-15 relative error = 5.52308189129576e-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) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.479999999999948 y[1] (closed_form) = 1.004119155462365 y[1] (numeric) = 1.004119155462359 absolute error = 5.10702591327572e-15 relative error = 5.08607557727957e-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) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.489999999999947 y[1] (closed_form) = 1.003262247956861 y[1] (numeric) = 1.003262247956856 absolute error = 4.662936703425657e-15 relative error = 4.647774510524748e-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) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.499999999999946 y[1] (closed_form) = 1.002505013395949 y[1] (numeric) = 1.002505013395945 absolute error = 4.218847493575595e-15 relative error = 4.208305631594202e-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) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.509999999999944 y[1] (closed_form) = 1.001847527502455 y[1] (numeric) = 1.001847527502452 absolute error = 3.552713678800501e-15 relative error = 3.546162046890707e-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) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.519999999999943 y[1] (closed_form) = 1.00128985602442 y[1] (numeric) = 1.001289856024417 absolute error = 3.33066907387547e-15 relative error = 3.326378524496147e-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) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.529999999999942 y[1] (closed_form) = 1.000832054728526 y[1] (numeric) = 1.000832054728524 absolute error = 2.664535259100376e-15 relative error = 2.662320063103021e-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) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.539999999999941 y[1] (closed_form) = 1.000474169394523 y[1] (numeric) = 1.00047416939452 absolute error = 2.220446049250313e-15 relative error = 2.219393680692532e-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) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.54999999999994 y[1] (closed_form) = 1.000216235810644 y[1] (numeric) = 1.000216235810642 absolute error = 1.998401444325282e-15 relative error = 1.997969411789881e-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) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.559999999999939 y[1] (closed_form) = 1.000058279770034 y[1] (numeric) = 1.000058279770033 absolute error = 1.110223024625157e-15 relative error = 1.110158324853282e-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) = 32 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE 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] = 1.569989504569306 y[1] (closed_form) = 1.000000325481034 y[1] (numeric) = 1.000000325481034 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.579994049420504 y[1] (closed_form) = 1.000042298752548 y[1] (numeric) = 1.000042298752548 absolute error = 2.220446049250313e-16 relative error = 2.220352131124949e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.589998594271701 y[1] (closed_form) = 1.000184357873209 y[1] (numeric) = 1.000184357873209 absolute error = 2.220446049250313e-16 relative error = 2.22003676799332e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600003139122899 y[1] (closed_form) = 1.000426488624309 y[1] (numeric) = 1.000426488624309 absolute error = 2.220446049250313e-16 relative error = 2.219499457979825e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610007683974096 y[1] (closed_form) = 1.00076866677096 y[1] (numeric) = 1.000768666770959 absolute error = 4.440892098500626e-16 relative error = 4.43748115419064e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620012228825293 y[1] (closed_form) = 1.001210858064523 y[1] (numeric) = 1.001210858064523 absolute error = 4.440892098500626e-16 relative error = 4.43552131174993e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630016773676491 y[1] (closed_form) = 1.001753018246035 y[1] (numeric) = 1.001753018246037 absolute error = 1.77635683940025e-15 relative error = 1.773248302770742e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640021318527688 y[1] (closed_form) = 1.002395093050639 y[1] (numeric) = 1.002395093050642 absolute error = 2.442490654175344e-15 relative error = 2.436654639581275e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650025863378886 y[1] (closed_form) = 1.003137018213015 y[1] (numeric) = 1.003137018213017 absolute error = 2.442490654175344e-15 relative error = 2.434852477607087e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660030408230083 y[1] (closed_form) = 1.00397871947381 y[1] (numeric) = 1.003978719473813 absolute error = 2.664535259100376e-15 relative error = 2.653975833767543e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.67003495308128 y[1] (closed_form) = 1.004920112587077 y[1] (numeric) = 1.00492011258708 absolute error = 3.108624468950438e-15 relative error = 3.093404570187736e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680039497932478 y[1] (closed_form) = 1.005961103328701 y[1] (numeric) = 1.005961103328705 absolute error = 4.218847493575595e-15 relative error = 4.193847535074201e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690044042783675 y[1] (closed_form) = 1.007101587505831 y[1] (numeric) = 1.007101587505835 absolute error = 3.996802888650564e-15 relative error = 3.968619390769674e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700048587634873 y[1] (closed_form) = 1.008341450967313 y[1] (numeric) = 1.008341450967318 absolute error = 4.440892098500626e-15 relative error = 4.404155055056428e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.71005313248607 y[1] (closed_form) = 1.009680569615111 y[1] (numeric) = 1.009680569615116 absolute error = 5.551115123125783e-15 relative error = 5.497892393078203e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720057677337267 y[1] (closed_form) = 1.011118809416726 y[1] (numeric) = 1.011118809416731 absolute error = 5.551115123125783e-15 relative error = 5.490072058226273e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730062222188465 y[1] (closed_form) = 1.012656026418619 y[1] (numeric) = 1.012656026418626 absolute error = 6.661338147750939e-15 relative error = 6.578085721080998e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740066767039662 y[1] (closed_form) = 1.014292066760612 y[1] (numeric) = 1.014292066760619 absolute error = 7.105427357601002e-15 relative error = 7.005307041682685e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.75007131189086 y[1] (closed_form) = 1.016026766691293 y[1] (numeric) = 1.016026766691301 absolute error = 7.993605777301127e-15 relative error = 7.867514950745273e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760075856742057 y[1] (closed_form) = 1.017859952584401 y[1] (numeric) = 1.017859952584409 absolute error = 8.215650382226158e-15 relative error = 8.071493884169605e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.770080401593254 y[1] (closed_form) = 1.019791440956209 y[1] (numeric) = 1.019791440956217 absolute error = 8.659739592076221e-15 relative error = 8.491677066789663e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780084946444452 y[1] (closed_form) = 1.021821038483885 y[1] (numeric) = 1.021821038483893 absolute error = 8.659739592076221e-15 relative error = 8.474810427592107e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790089491295649 y[1] (closed_form) = 1.023948542024844 y[1] (numeric) = 1.023948542024854 absolute error = 9.325873406851315e-15 relative error = 9.107755931181392e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800094036146846 y[1] (closed_form) = 1.026173738637082 y[1] (numeric) = 1.026173738637093 absolute error = 1.043609643147647e-14 relative error = 1.016991181760042e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810098580998044 y[1] (closed_form) = 1.028496405600485 y[1] (numeric) = 1.028496405600495 absolute error = 1.043609643147647e-14 relative error = 1.014694497194998e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820103125849241 y[1] (closed_form) = 1.030916310439123 y[1] (numeric) = 1.030916310439135 absolute error = 1.110223024625157e-14 relative error = 1.076928372733042e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830107670700439 y[1] (closed_form) = 1.033433210944523 y[1] (numeric) = 1.033433210944534 absolute error = 1.13242748511766e-14 relative error = 1.095791651675931e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840112215551636 y[1] (closed_form) = 1.036046855199902 y[1] (numeric) = 1.036046855199913 absolute error = 1.110223024625157e-14 relative error = 1.071595381090117e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850116760402833 y[1] (closed_form) = 1.038756981605391 y[1] (numeric) = 1.038756981605403 absolute error = 1.199040866595169e-14 relative error = 1.154303545322083e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860121305254031 y[1] (closed_form) = 1.041563318904215 y[1] (numeric) = 1.041563318904227 absolute error = 1.221245327087672e-14 relative error = 1.172511843420612e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870125850105228 y[1] (closed_form) = 1.04446558620984 y[1] (numeric) = 1.044465586209852 absolute error = 1.243449787580175e-14 relative error = 1.190512932161231e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880130394956426 y[1] (closed_form) = 1.04746349303409 y[1] (numeric) = 1.047463493034103 absolute error = 1.221245327087672e-14 relative error = 1.165907294344172e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890134939807623 y[1] (closed_form) = 1.050556739316225 y[1] (numeric) = 1.050556739316238 absolute error = 1.354472090042691e-14 relative error = 1.289289801638201e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.90013948465882 y[1] (closed_form) = 1.053745015452967 y[1] (numeric) = 1.053745015452981 absolute error = 1.398881011027697e-14 relative error = 1.327532743228559e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910144029510018 y[1] (closed_form) = 1.057028002329493 y[1] (numeric) = 1.057028002329508 absolute error = 1.48769885299771e-14 relative error = 1.407435611657495e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.919987210734583 y[1] (closed_form) = 1.060350150548821 y[1] (numeric) = 1.060350150548837 absolute error = 1.576516694967722e-14 relative error = 1.486788768928586e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.92999175558578 y[1] (closed_form) = 1.063820049566127 y[1] (numeric) = 1.063820049566144 absolute error = 1.709743457922741e-14 relative error = 1.607173561562456e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.939996300436978 y[1] (closed_form) = 1.067383650912219 y[1] (numeric) = 1.067383650912237 absolute error = 1.77635683940025e-14 relative error = 1.664215896395004e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950000845288175 y[1] (closed_form) = 1.071040597905942 y[1] (numeric) = 1.07104059790596 absolute error = 1.798561299892754e-14 relative error = 1.679265289671776e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960005390139373 y[1] (closed_form) = 1.074790524523169 y[1] (numeric) = 1.074790524523188 absolute error = 1.887379141862766e-14 relative error = 1.756043711587522e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.97000993499057 y[1] (closed_form) = 1.078633055433436 y[1] (numeric) = 1.078633055433455 absolute error = 1.909583602355269e-14 relative error = 1.770373708404408e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980014479841767 y[1] (closed_form) = 1.082567806037503 y[1] (numeric) = 1.082567806037522 absolute error = 1.909583602355269e-14 relative error = 1.763939026918668e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990019024692965 y[1] (closed_form) = 1.086594382505857 y[1] (numeric) = 1.086594382505877 absolute error = 1.909583602355269e-14 relative error = 1.757402424584111e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000023569544162 y[1] (closed_form) = 1.090712381818127 y[1] (numeric) = 1.090712381818148 absolute error = 2.087219286295294e-14 relative error = 1.913629405046336e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.01002811439536 y[1] (closed_form) = 1.09492139180342 y[1] (numeric) = 1.094921391803443 absolute error = 2.287059430727822e-14 relative error = 2.08878870012838e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.020032659246557 y[1] (closed_form) = 1.099220991181578 y[1] (numeric) = 1.099220991181601 absolute error = 2.331468351712829e-14 relative error = 2.121018767305999e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.030037204097754 y[1] (closed_form) = 1.103610749605342 y[1] (numeric) = 1.103610749605365 absolute error = 2.287059430727822e-14 relative error = 2.072342473599218e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.040041748948952 y[1] (closed_form) = 1.10809022770343 y[1] (numeric) = 1.108090227703453 absolute error = 2.375877272697835e-14 relative error = 2.144118965494313e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.050046293800149 y[1] (closed_form) = 1.112658977124506 y[1] (numeric) = 1.11265897712453 absolute error = 2.420286193682841e-14 relative error = 2.17522730993255e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.060050838651347 y[1] (closed_form) = 1.117316540582063 y[1] (numeric) = 1.117316540582088 absolute error = 2.486899575160351e-14 relative error = 2.225778895088054e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.070055383502544 y[1] (closed_form) = 1.122062451900188 y[1] (numeric) = 1.122062451900214 absolute error = 2.509104035652854e-14 relative error = 2.236153639580168e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.080059928353741 y[1] (closed_form) = 1.126896236060225 y[1] (numeric) = 1.126896236060251 absolute error = 2.55351295663786e-14 relative error = 2.265969904705042e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.090064473204939 y[1] (closed_form) = 1.131817409248317 y[1] (numeric) = 1.131817409248342 absolute error = 2.509104035652854e-14 relative error = 2.216880580869704e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.100069018056136 y[1] (closed_form) = 1.136825478903831 y[1] (numeric) = 1.136825478903857 absolute error = 2.531308496145357e-14 relative error = 2.226646519733299e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.110073562907333 y[1] (closed_form) = 1.141919943768662 y[1] (numeric) = 1.141919943768688 absolute error = 2.620126338115369e-14 relative error = 2.294492142302205e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.120078107758531 y[1] (closed_form) = 1.147100293937398 y[1] (numeric) = 1.147100293937424 absolute error = 2.642330798607873e-14 relative error = 2.303487160253554e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.130082652609728 y[1] (closed_form) = 1.152366010908361 y[1] (numeric) = 1.152366010908389 absolute error = 2.797762022055394e-14 relative error = 2.427841497902248e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.140087197460926 y[1] (closed_form) = 1.157716567635505 y[1] (numeric) = 1.157716567635534 absolute error = 2.886579864025407e-14 relative error = 2.49333899567568e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.150091742312123 y[1] (closed_form) = 1.163151428581164 y[1] (numeric) = 1.163151428581194 absolute error = 2.97539770599542e-14 relative error = 2.558048447419155e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.16009628716332 y[1] (closed_form) = 1.168670049769655 y[1] (numeric) = 1.168670049769685 absolute error = 3.019806626980426e-14 relative error = 2.58396852693849e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.170100832014518 y[1] (closed_form) = 1.174271878841726 y[1] (numeric) = 1.174271878841756 absolute error = 2.997602166487923e-14 relative error = 2.55273265118525e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.180105376865715 y[1] (closed_form) = 1.179956355109841 y[1] (numeric) = 1.179956355109873 absolute error = 3.219646771412954e-14 relative error = 2.72861513688211e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.190109921716913 y[1] (closed_form) = 1.1857229096143 y[1] (numeric) = 1.185722909614333 absolute error = 3.352873534367973e-14 relative error = 2.827704101170331e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.20011446656811 y[1] (closed_form) = 1.191570965180184 y[1] (numeric) = 1.191570965180219 absolute error = 3.419486915845482e-14 relative error = 2.869729974771919e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.210119011419307 y[1] (closed_form) = 1.197499936475129 y[1] (numeric) = 1.197499936475164 absolute error = 3.530509218307998e-14 relative error = 2.948233324086964e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.220123556270505 y[1] (closed_form) = 1.203509230067905 y[1] (numeric) = 1.203509230067942 absolute error = 3.641531520770513e-14 relative error = 3.025761190518704e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.230128101121702 y[1] (closed_form) = 1.20959824448782 y[1] (numeric) = 1.209598244487856 absolute error = 3.641531520770513e-14 relative error = 3.010529766693277e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.2401326459729 y[1] (closed_form) = 1.215766370284915 y[1] (numeric) = 1.215766370284952 absolute error = 3.730349362740526e-14 relative error = 3.068311029088852e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.250137190824097 y[1] (closed_form) = 1.222012990090969 y[1] (numeric) = 1.222012990091006 absolute error = 3.730349362740526e-14 relative error = 3.05262660298139e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.260141735675294 y[1] (closed_form) = 1.228337478681288 y[1] (numeric) = 1.228337478681325 absolute error = 3.752553823233029e-14 relative error = 3.054986018387778e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.26998491689986 y[1] (closed_form) = 1.234635339947575 y[1] (numeric) = 1.234635339947613 absolute error = 3.774758283725532e-14 relative error = 3.057387198948812e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.279989461751057 y[1] (closed_form) = 1.241112429040935 y[1] (numeric) = 1.241112429040973 absolute error = 3.819167204710538e-14 relative error = 3.077212922331126e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.289994006602254 y[1] (closed_form) = 1.247665475254133 y[1] (numeric) = 1.247665475254172 absolute error = 3.841371665203042e-14 relative error = 3.078847448608453e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299998551453452 y[1] (closed_form) = 1.254293822692231 y[1] (numeric) = 1.254293822692272 absolute error = 4.04121180963557e-14 relative error = 3.221902026880324e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.310003096304649 y[1] (closed_form) = 1.260996807923386 y[1] (numeric) = 1.260996807923426 absolute error = 4.063416270128073e-14 relative error = 3.222384263461953e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.320007641155847 y[1] (closed_form) = 1.267773760045248 y[1] (numeric) = 1.26777376004529 absolute error = 4.152234112098085e-14 relative error = 3.275216953496409e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.330012186007044 y[1] (closed_form) = 1.274624000752121 y[1] (numeric) = 1.274624000752163 absolute error = 4.174438572590589e-14 relative error = 3.275035281092594e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.340016730858241 y[1] (closed_form) = 1.281546844402843 y[1] (numeric) = 1.281546844402885 absolute error = 4.152234112098085e-14 relative error = 3.240017429119326e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.350021275709439 y[1] (closed_form) = 1.288541598089421 y[1] (numeric) = 1.288541598089463 absolute error = 4.241051954068098e-14 relative error = 3.291358199344513e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.360025820560636 y[1] (closed_form) = 1.295607561706378 y[1] (numeric) = 1.295607561706422 absolute error = 4.329869796038111e-14 relative error = 3.341960886933587e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.370030365411834 y[1] (closed_form) = 1.302744028020832 y[1] (numeric) = 1.302744028020875 absolute error = 4.329869796038111e-14 relative error = 3.323653536616998e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.380034910263031 y[1] (closed_form) = 1.309950282743276 y[1] (numeric) = 1.30995028274332 absolute error = 4.418687638008123e-14 relative error = 3.373172017455947e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.390039455114228 y[1] (closed_form) = 1.317225604599079 y[1] (numeric) = 1.317225604599124 absolute error = 4.440892098500626e-14 relative error = 3.371398250227826e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.400043999965426 y[1] (closed_form) = 1.324569265400675 y[1] (numeric) = 1.32456926540072 absolute error = 4.551914400963142e-14 relative error = 3.436524249704837e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.410048544816623 y[1] (closed_form) = 1.331980530120445 y[1] (numeric) = 1.331980530120491 absolute error = 4.596323321948148e-14 relative error = 3.450743624257424e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.420053089667821 y[1] (closed_form) = 1.339458656964288 y[1] (numeric) = 1.339458656964335 absolute error = 4.662936703425657e-14 relative error = 3.481209874736714e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.430057634519018 y[1] (closed_form) = 1.347002897445872 y[1] (numeric) = 1.347002897445919 absolute error = 4.685141163918161e-14 relative error = 3.478196797350564e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.440062179370215 y[1] (closed_form) = 1.354612496461539 y[1] (numeric) = 1.354612496461587 absolute error = 4.796163466380676e-14 relative error = 3.540616581427537e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.450066724221413 y[1] (closed_form) = 1.362286692365895 y[1] (numeric) = 1.362286692365943 absolute error = 4.773959005888173e-14 relative error = 3.504371754228324e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.46007126907261 y[1] (closed_form) = 1.370024717048036 y[1] (numeric) = 1.370024717048085 absolute error = 4.840572387365683e-14 relative error = 3.533200771585759e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.470075813923807 y[1] (closed_form) = 1.377825796008431 y[1] (numeric) = 1.37782579600848 absolute error = 4.951594689828198e-14 relative error = 3.593774121643677e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.480080358775005 y[1] (closed_form) = 1.385689148436439 y[1] (numeric) = 1.385689148436489 absolute error = 4.951594689828198e-14 relative error = 3.573380577754684e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.490084903626202 y[1] (closed_form) = 1.393613987288466 y[1] (numeric) = 1.393613987288515 absolute error = 4.951594689828198e-14 relative error = 3.553060413423693e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.5000894484774 y[1] (closed_form) = 1.401599519366734 y[1] (numeric) = 1.401599519366783 absolute error = 4.884981308350689e-14 relative error = 3.485290370645821e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.510093993328597 y[1] (closed_form) = 1.409644945398676 y[1] (numeric) = 1.409644945398725 absolute error = 4.862776847858186e-14 relative error = 3.449646567904299e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.520098538179794 y[1] (closed_form) = 1.417749460116934 y[1] (numeric) = 1.417749460116984 absolute error = 5.040412531798211e-14 relative error = 3.555220914266817e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.530103083030992 y[1] (closed_form) = 1.425912252339958 y[1] (numeric) = 1.425912252340009 absolute error = 5.10702591327572e-14 relative error = 3.581584985257656e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.540107627882189 y[1] (closed_form) = 1.434132505053199 y[1] (numeric) = 1.434132505053253 absolute error = 5.329070518200751e-14 relative error = 3.715884340828792e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.550112172733387 y[1] (closed_form) = 1.442409395490882 y[1] (numeric) = 1.442409395490935 absolute error = 5.262457136723242e-14 relative error = 3.648379685527712e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.560116717584584 y[1] (closed_form) = 1.450742095218357 y[1] (numeric) = 1.450742095218411 absolute error = 5.351274978693255e-14 relative error = 3.688646656308551e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.570121262435781 y[1] (closed_form) = 1.459129770215019 y[1] (numeric) = 1.459129770215074 absolute error = 5.52891066263328e-14 relative error = 3.789183645960793e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.580125807286979 y[1] (closed_form) = 1.467571580957781 y[1] (numeric) = 1.467571580957837 absolute error = 5.573319583618286e-14 relative error = 3.797647525976873e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.590130352138176 y[1] (closed_form) = 1.476066682505109 y[1] (numeric) = 1.476066682505166 absolute error = 5.706546346573305e-14 relative error = 3.866049152256747e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.600134896989374 y[1] (closed_form) = 1.484614224581583 y[1] (numeric) = 1.484614224581641 absolute error = 5.773159728050814e-14 relative error = 3.888659850122273e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.610139441840571 y[1] (closed_form) = 1.49321335166301 y[1] (numeric) = 1.493213351663069 absolute error = 5.861977570020827e-14 relative error = 3.925746822108354e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.620143986691768 y[1] (closed_form) = 1.501863203062048 y[1] (numeric) = 1.501863203062107 absolute error = 5.906386491005833e-14 relative error = 3.932706040712429e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629987167916334 y[1] (closed_form) = 1.510422204074275 y[1] (numeric) = 1.510422204074334 absolute error = 5.950795411990839e-14 relative error = 3.93982251845803e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.639991712767531 y[1] (closed_form) = 1.519170118634172 y[1] (numeric) = 1.519170118634232 absolute error = 5.995204332975845e-14 relative error = 3.946367993576588e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.649996257618728 y[1] (closed_form) = 1.527966159496724 y[1] (numeric) = 1.527966159496785 absolute error = 6.106226635438361e-14 relative error = 3.996310126036829e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.660000802469926 y[1] (closed_form) = 1.536809446265471 y[1] (numeric) = 1.536809446265532 absolute error = 6.106226635438361e-14 relative error = 3.973314095821584e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.670005347321123 y[1] (closed_form) = 1.54569909381511 y[1] (numeric) = 1.545699093815171 absolute error = 6.128431095930864e-14 relative error = 3.964828031829022e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.680009892172321 y[1] (closed_form) = 1.554634212380079 y[1] (numeric) = 1.554634212380142 absolute error = 6.23945339839338e-14 relative error = 4.013454321734654e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.690014437023518 y[1] (closed_form) = 1.563613907643623 y[1] (numeric) = 1.563613907643687 absolute error = 6.394884621840902e-14 relative error = 4.0898105284047e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.700018981874715 y[1] (closed_form) = 1.572637280827297 y[1] (numeric) = 1.572637280827361 absolute error = 6.394884621840902e-14 relative error = 4.066344286634758e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.710023526725913 y[1] (closed_form) = 1.581703428780934 y[1] (numeric) = 1.581703428780998 absolute error = 6.417089082333405e-14 relative error = 4.057074774933787e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.72002807157711 y[1] (closed_form) = 1.590811444073032 y[1] (numeric) = 1.590811444073098 absolute error = 6.52811138479592e-14 relative error = 4.103636172041658e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.730032616428308 y[1] (closed_form) = 1.599960415081588 y[1] (numeric) = 1.599960415081653 absolute error = 6.52811138479592e-14 relative error = 4.080170561259185e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.740037161279505 y[1] (closed_form) = 1.609149426085335 y[1] (numeric) = 1.6091494260854 absolute error = 6.550315845288424e-14 relative error = 4.070669720974101e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.750041706130702 y[1] (closed_form) = 1.6183775573554 y[1] (numeric) = 1.618377557355466 absolute error = 6.616929226765933e-14 relative error = 4.088618997892368e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.7600462509819 y[1] (closed_form) = 1.62764388524736 y[1] (numeric) = 1.627643885247427 absolute error = 6.661338147750939e-14 relative error = 4.092626285226136e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.770050795833097 y[1] (closed_form) = 1.636947482293689 y[1] (numeric) = 1.636947482293757 absolute error = 6.772360450213455e-14 relative error = 4.137188592467261e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.780055340684294 y[1] (closed_form) = 1.646287417296589 y[1] (numeric) = 1.646287417296656 absolute error = 6.750155989720952e-14 relative error = 4.100229351692159e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.790059885535492 y[1] (closed_form) = 1.65566275542119 y[1] (numeric) = 1.655662755421258 absolute error = 6.838973831690964e-14 relative error = 4.130656324361885e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.800064430386689 y[1] (closed_form) = 1.665072558289123 y[1] (numeric) = 1.665072558289192 absolute error = 6.883382752675971e-14 relative error = 4.133983662398896e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.810068975237887 y[1] (closed_form) = 1.674515884072441 y[1] (numeric) = 1.674515884072511 absolute error = 6.972200594645983e-14 relative error = 4.163711231982771e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.820073520089084 y[1] (closed_form) = 1.683991787587883 y[1] (numeric) = 1.683991787587954 absolute error = 7.083222897108499e-14 relative error = 4.206209881376186e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.830078064940281 y[1] (closed_form) = 1.693499320391481 y[1] (numeric) = 1.693499320391552 absolute error = 7.194245199571014e-14 relative error = 4.248153579363672e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.840082609791479 y[1] (closed_form) = 1.703037530873489 y[1] (numeric) = 1.703037530873561 absolute error = 7.238654120556021e-14 relative error = 4.250437227207383e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.850087154642676 y[1] (closed_form) = 1.71260546435363 y[1] (numeric) = 1.712605464353703 absolute error = 7.30526750203353e-14 relative error = 4.265586939949813e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.860091699493874 y[1] (closed_form) = 1.72220216317665 y[1] (numeric) = 1.722202163176724 absolute error = 7.371880883511039e-14 relative error = 4.280496820369449e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.870096244345071 y[1] (closed_form) = 1.731826666808169 y[1] (numeric) = 1.731826666808243 absolute error = 7.394085344003543e-14 relative error = 4.269529673908509e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.880100789196268 y[1] (closed_form) = 1.74147801193082 y[1] (numeric) = 1.741478011930894 absolute error = 7.394085344003543e-14 relative error = 4.245867759079848e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.890105334047466 y[1] (closed_form) = 1.751155232540672 y[1] (numeric) = 1.751155232540746 absolute error = 7.416289804496046e-14 relative error = 4.235084169971663e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.900109878898663 y[1] (closed_form) = 1.760857360043911 y[1] (numeric) = 1.760857360043986 absolute error = 7.482903185973555e-14 relative error = 4.249579412716855e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.910114423749861 y[1] (closed_form) = 1.770583423353792 y[1] (numeric) = 1.770583423353867 absolute error = 7.505107646466058e-14 relative error = 4.238776635697901e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.920118968601058 y[1] (closed_form) = 1.780332448987833 y[1] (numeric) = 1.780332448987909 absolute error = 7.638334409421077e-14 relative error = 4.290397792706456e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.930123513452255 y[1] (closed_form) = 1.79010346116525 y[1] (numeric) = 1.790103461165328 absolute error = 7.72715225139109e-14 relative error = 4.316595335981963e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.940128058303453 y[1] (closed_form) = 1.799895481904626 y[1] (numeric) = 1.799895481904705 absolute error = 7.882583474838611e-14 relative error = 4.379467338013074e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.95013260315465 y[1] (closed_form) = 1.809707531121793 y[1] (numeric) = 1.809707531121872 absolute error = 7.882583474838611e-14 relative error = 4.355722313843934e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.960137148005848 y[1] (closed_form) = 1.819538626727933 y[1] (numeric) = 1.819538626728012 absolute error = 7.926992395823618e-14 relative error = 4.356594731972625e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.970141692857045 y[1] (closed_form) = 1.829387784727872 y[1] (numeric) = 1.829387784727952 absolute error = 8.01581023779363e-14 relative error = 4.38169004117736e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.97998487408161 y[1] (closed_form) = 1.839094756188598 y[1] (numeric) = 1.839094756188679 absolute error = 8.08242361927114e-14 relative error = 4.394783679347457e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.989989418932808 y[1] (closed_form) = 1.848976828200492 y[1] (numeric) = 1.848976828200573 absolute error = 8.08242361927114e-14 relative error = 4.371295246105016e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.999993963784005 y[1] (closed_form) = 1.858874016134161 y[1] (numeric) = 1.858874016134243 absolute error = 8.215650382226158e-14 relative error = 4.419691873100672e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.009998508635202 y[1] (closed_form) = 1.868785329379245 y[1] (numeric) = 1.868785329379328 absolute error = 8.326672684688674e-14 relative error = 4.455660344601778e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.0200030534864 y[1] (closed_form) = 1.87870977591158 y[1] (numeric) = 1.878709775911664 absolute error = 8.348877145181177e-14 relative error = 4.443941928779376e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.030007598337597 y[1] (closed_form) = 1.888646362392492 y[1] (numeric) = 1.888646362392575 absolute error = 8.37108160567368e-14 relative error = 4.432318178967817e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.040012143188795 y[1] (closed_form) = 1.898594094268215 y[1] (numeric) = 1.898594094268299 absolute error = 8.393286066166183e-14 relative error = 4.420790147565087e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.050016688039992 y[1] (closed_form) = 1.908551975869442 y[1] (numeric) = 1.908551975869527 absolute error = 8.482103908136196e-14 relative error = 4.444261416706855e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.060021232891189 y[1] (closed_form) = 1.91851901051098 y[1] (numeric) = 1.918519010511066 absolute error = 8.570921750106208e-14 relative error = 4.46746772023042e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.070025777742387 y[1] (closed_form) = 1.928494200591505 y[1] (numeric) = 1.928494200591591 absolute error = 8.548717289613705e-14 relative error = 4.432845733729276e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.080030322593584 y[1] (closed_form) = 1.938476547693416 y[1] (numeric) = 1.938476547693502 absolute error = 8.570921750106208e-14 relative error = 4.421473017202455e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.090034867444782 y[1] (closed_form) = 1.948465052682765 y[1] (numeric) = 1.948465052682851 absolute error = 8.637535131583718e-14 relative error = 4.432994638364715e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.100039412295979 y[1] (closed_form) = 1.958458715809259 y[1] (numeric) = 1.958458715809345 absolute error = 8.615330671091215e-14 relative error = 4.399036140790568e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.110043957147176 y[1] (closed_form) = 1.968456536806329 y[1] (numeric) = 1.968456536806416 absolute error = 8.659739592076221e-14 relative error = 4.399253643733476e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.120048501998374 y[1] (closed_form) = 1.978457514991243 y[1] (numeric) = 1.97845751499133 absolute error = 8.704148513061227e-14 relative error = 4.399461927844205e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.130053046849571 y[1] (closed_form) = 1.988460649365265 y[1] (numeric) = 1.988460649365353 absolute error = 8.748557434046234e-14 relative error = 4.399663346035463e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.140057591700768 y[1] (closed_form) = 1.998464938713849 y[1] (numeric) = 1.998464938713937 absolute error = 8.815170815523743e-14 relative error = 4.4109709631418e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.150062136551966 y[1] (closed_form) = 2.008469381706844 y[1] (numeric) = 2.008469381706934 absolute error = 9.059419880941277e-14 relative error = 4.510608906192223e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.160066681403163 y[1] (closed_form) = 2.018472976998722 y[1] (numeric) = 2.018472976998812 absolute error = 8.970602038971265e-14 relative error = 4.44425173940634e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.170071226254361 y[1] (closed_form) = 2.028474723328803 y[1] (numeric) = 2.028474723328894 absolute error = 9.103828801926284e-14 relative error = 4.488016881465775e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.180075771105558 y[1] (closed_form) = 2.038473619621466 y[1] (numeric) = 2.038473619621556 absolute error = 8.970602038971265e-14 relative error = 4.400646617461283e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.190080315956755 y[1] (closed_form) = 2.048468665086355 y[1] (numeric) = 2.048468665086446 absolute error = 9.059419880941277e-14 relative error = 4.422532809677794e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.200084860807953 y[1] (closed_form) = 2.058458859318541 y[1] (numeric) = 2.058458859318633 absolute error = 9.237055564881302e-14 relative error = 4.487364672393433e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.21008940565915 y[1] (closed_form) = 2.068443202398655 y[1] (numeric) = 2.068443202398747 absolute error = 9.192646643896296e-14 relative error = 4.444234501211399e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.220093950510348 y[1] (closed_form) = 2.078420694992972 y[1] (numeric) = 2.078420694993063 absolute error = 9.14823772291129e-14 relative error = 4.401533214594087e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.230098495361545 y[1] (closed_form) = 2.088390338453431 y[1] (numeric) = 2.088390338453523 absolute error = 9.192646643896296e-14 relative error = 4.401785659812985e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.240103040212742 y[1] (closed_form) = 2.098351134917592 y[1] (numeric) = 2.098351134917683 absolute error = 9.14823772291129e-14 relative error = 4.359726821064468e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.25010758506394 y[1] (closed_form) = 2.108302087408513 y[1] (numeric) = 2.108302087408604 absolute error = 9.14823772291129e-14 relative error = 4.339149393034154e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.260112129915137 y[1] (closed_form) = 2.118242199934534 y[1] (numeric) = 2.118242199934625 absolute error = 9.103828801926284e-14 relative error = 4.297822412473722e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.270116674766335 y[1] (closed_form) = 2.12817047758897 y[1] (numeric) = 2.128170477589061 absolute error = 9.103828801926284e-14 relative error = 4.277772339103267e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.280121219617532 y[1] (closed_form) = 2.138085926649686 y[1] (numeric) = 2.138085926649777 absolute error = 9.059419880941277e-14 relative error = 4.237163608825163e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.290125764468729 y[1] (closed_form) = 2.147987554678566 y[1] (numeric) = 2.147987554678656 absolute error = 9.015010959956271e-14 relative error = 4.19695679349749e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.300130309319927 y[1] (closed_form) = 2.157874370620841 y[1] (numeric) = 2.157874370620929 absolute error = 8.837375276016246e-14 relative error = 4.095407682827082e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.310134854171124 y[1] (closed_form) = 2.167745384904282 y[1] (numeric) = 2.167745384904372 absolute error = 8.970602038971265e-14 relative error = 4.138217569941853e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.320139399022322 y[1] (closed_form) = 2.177599609538254 y[1] (numeric) = 2.177599609538345 absolute error = 9.103828801926284e-14 relative error = 4.180671580785548e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.330143943873519 y[1] (closed_form) = 2.187436058212596 y[1] (numeric) = 2.187436058212686 absolute error = 9.015010959956271e-14 relative error = 4.121268334271971e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.339987125098084 y[1] (closed_form) = 2.197095550599512 y[1] (numeric) = 2.197095550599602 absolute error = 8.970602038971265e-14 relative error = 4.082936691817292e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.349991669949282 y[1] (closed_form) = 2.206893821863818 y[1] (numeric) = 2.206893821863908 absolute error = 8.970602038971265e-14 relative error = 4.064809076947436e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.359996214800479 y[1] (closed_form) = 2.216671385108355 y[1] (numeric) = 2.216671385108447 absolute error = 9.14823772291129e-14 relative error = 4.127015751802158e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.370000759651676 y[1] (closed_form) = 2.22642726169601 y[1] (numeric) = 2.226427261696101 absolute error = 9.103828801926284e-14 relative error = 4.088985505410729e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.380005304502874 y[1] (closed_form) = 2.236160475160286 y[1] (numeric) = 2.236160475160378 absolute error = 9.237055564881302e-14 relative error = 4.130765956865954e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.390009849354071 y[1] (closed_form) = 2.245870051303041 y[1] (numeric) = 2.245870051303135 absolute error = 9.370282327836321e-14 relative error = 4.172228184974343e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.400014394205269 y[1] (closed_form) = 2.255555018291995 y[1] (numeric) = 2.255555018292088 absolute error = 9.370282327836321e-14 relative error = 4.154313351634362e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.410018939056466 y[1] (closed_form) = 2.265214406758 y[1] (numeric) = 2.265214406758093 absolute error = 9.370282327836321e-14 relative error = 4.136598416415325e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.420023483907663 y[1] (closed_form) = 2.274847249892063 y[1] (numeric) = 2.274847249892159 absolute error = 9.547918011776346e-14 relative error = 4.197168848250965e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.430028028758861 y[1] (closed_form) = 2.284452583542119 y[1] (numeric) = 2.284452583542216 absolute error = 9.681144774731365e-14 relative error = 4.237840104223319e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.440032573610058 y[1] (closed_form) = 2.294029446309526 y[1] (numeric) = 2.294029446309623 absolute error = 9.725553695716371e-14 relative error = 4.239506912765292e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.450037118461255 y[1] (closed_form) = 2.303576879645296 y[1] (numeric) = 2.303576879645395 absolute error = 9.85878045867139e-14 relative error = 4.279770536761699e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.460041663312453 y[1] (closed_form) = 2.313093927946037 y[1] (numeric) = 2.313093927946135 absolute error = 9.814371537686384e-14 relative error = 4.242962820969953e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.47004620816365 y[1] (closed_form) = 2.322579638649595 y[1] (numeric) = 2.322579638649695 absolute error = 9.992007221626409e-14 relative error = 4.302116084784076e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.480050753014848 y[1] (closed_form) = 2.3320330623304 y[1] (numeric) = 2.332033062330501 absolute error = 1.016964290556643e-13 relative error = 4.360848510185321e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.490055297866045 y[1] (closed_form) = 2.341453252794492 y[1] (numeric) = 2.341453252794595 absolute error = 1.025846074753645e-13 relative error = 4.381236625285221e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.500059842717242 y[1] (closed_form) = 2.35083926717423 y[1] (numeric) = 2.350839267174333 absolute error = 1.034727858950646e-13 relative error = 4.401525333522337e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.51006438756844 y[1] (closed_form) = 2.360190166022655 y[1] (numeric) = 2.360190166022758 absolute error = 1.034727858950646e-13 relative error = 4.384086815743109e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.520068932419637 y[1] (closed_form) = 2.369505013407526 y[1] (numeric) = 2.369505013407629 absolute error = 1.030286966852145e-13 relative error = 4.348110516848053e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.530073477270835 y[1] (closed_form) = 2.378782877004999 y[1] (numeric) = 2.378782877005103 absolute error = 1.043609643147647e-13 relative error = 4.387158043030818e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.540078022122032 y[1] (closed_form) = 2.388022828192937 y[1] (numeric) = 2.388022828193038 absolute error = 1.012523398458143e-13 relative error = 4.240007199698082e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.550082566973229 y[1] (closed_form) = 2.397223942143859 y[1] (numeric) = 2.397223942143963 absolute error = 1.034727858950646e-13 relative error = 4.316358771326468e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.560087111824427 y[1] (closed_form) = 2.406385297917509 y[1] (numeric) = 2.406385297917613 absolute error = 1.043609643147647e-13 relative error = 4.336835186164033e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.570091656675624 y[1] (closed_form) = 2.415505978553028 y[1] (numeric) = 2.415505978553136 absolute error = 1.079136779935652e-13 relative error = 4.467539263066086e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.580096201526822 y[1] (closed_form) = 2.424585071160737 y[1] (numeric) = 2.424585071160846 absolute error = 1.092459456231154e-13 relative error = 4.505758404707797e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.590100746378019 y[1] (closed_form) = 2.433621667013503 y[1] (numeric) = 2.433621667013612 absolute error = 1.096900348329655e-13 relative error = 4.507275568744222e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.600105291229216 y[1] (closed_form) = 2.442614861637699 y[1] (numeric) = 2.442614861637809 absolute error = 1.096900348329655e-13 relative error = 4.490680727268712e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.610109836080414 y[1] (closed_form) = 2.451563754903731 y[1] (numeric) = 2.451563754903841 absolute error = 1.096900348329655e-13 relative error = 4.474288486830431e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.620114380931611 y[1] (closed_form) = 2.460467451116131 y[1] (numeric) = 2.460467451116241 absolute error = 1.101341240428155e-13 relative error = 4.476146351493326e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.630118925782809 y[1] (closed_form) = 2.469325059103206 y[1] (numeric) = 2.469325059103317 absolute error = 1.114663916723657e-13 relative error = 4.514042866144459e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.640123470634006 y[1] (closed_form) = 2.47813569230624 y[1] (numeric) = 2.478135692306351 absolute error = 1.110223024625157e-13 relative error = 4.480073581410484e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.650128015485203 y[1] (closed_form) = 2.486898468868225 y[1] (numeric) = 2.486898468868336 absolute error = 1.110223024625157e-13 relative error = 4.464287700214852e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.660132560336401 y[1] (closed_form) = 2.49561251172213 y[1] (numeric) = 2.49561251172224 absolute error = 1.096900348329655e-13 relative error = 4.395315150799288e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.670137105187598 y[1] (closed_form) = 2.504276948678684 y[1] (numeric) = 2.504276948678794 absolute error = 1.101341240428155e-13 relative error = 4.397841225225705e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.680141650038796 y[1] (closed_form) = 2.512890912513674 y[1] (numeric) = 2.512890912513786 absolute error = 1.123545700920658e-13 relative error = 4.471128035545174e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.689984831263361 y[1] (closed_form) = 2.521315845963521 y[1] (numeric) = 2.521315845963634 absolute error = 1.123545700920658e-13 relative error = 4.456187838264647e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.699989376114558 y[1] (closed_form) = 2.529827130761013 y[1] (numeric) = 2.529827130761125 absolute error = 1.119104808822158e-13 relative error = 4.423641422825254e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.709993920965756 y[1] (closed_form) = 2.538285385117099 y[1] (numeric) = 2.53828538511721 absolute error = 1.110223024625157e-13 relative error = 4.373909376521657e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.719998465816953 y[1] (closed_form) = 2.546689762444401 y[1] (numeric) = 2.546689762444513 absolute error = 1.119104808822158e-13 relative error = 4.394350758091565e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.73000301066815 y[1] (closed_form) = 2.555039421548096 y[1] (numeric) = 2.555039421548208 absolute error = 1.119104808822158e-13 relative error = 4.379990380516686e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.740007555519348 y[1] (closed_form) = 2.563333526710112 y[1] (numeric) = 2.563333526710223 absolute error = 1.105782132526656e-13 relative error = 4.313844144760444e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.750012100370545 y[1] (closed_form) = 2.571571247772778 y[1] (numeric) = 2.57157124777289 absolute error = 1.119104808822158e-13 relative error = 4.351832794021973e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.760016645221743 y[1] (closed_form) = 2.579751760221909 y[1] (numeric) = 2.57975176022202 absolute error = 1.114663916723657e-13 relative error = 4.320818514056463e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.77002119007294 y[1] (closed_form) = 2.587874245269337 y[1] (numeric) = 2.58787424526945 absolute error = 1.13242748511766e-13 relative error = 4.375898431648099e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.780025734924137 y[1] (closed_form) = 2.59593788993486 y[1] (numeric) = 2.595937889934973 absolute error = 1.13686837721616e-13 relative error = 4.379412857388078e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.790030279775335 y[1] (closed_form) = 2.603941887127616 y[1] (numeric) = 2.60394188712773 absolute error = 1.145750161413162e-13 relative error = 4.400060412550251e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.800034824626532 y[1] (closed_form) = 2.611885435726863 y[1] (numeric) = 2.611885435726978 absolute error = 1.150191053511662e-13 relative error = 4.403681102466024e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.810039369477729 y[1] (closed_form) = 2.619767740662164 y[1] (numeric) = 2.619767740662282 absolute error = 1.176836406102666e-13 relative error = 4.49214022997784e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.820043914328927 y[1] (closed_form) = 2.627588012992965 y[1] (numeric) = 2.627588012993083 absolute error = 1.181277298201167e-13 relative error = 4.495671666790821e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.830048459180124 y[1] (closed_form) = 2.63534546998756 y[1] (numeric) = 2.635345469987679 absolute error = 1.185718190299667e-13 relative error = 4.499289386545833e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.840053004031322 y[1] (closed_form) = 2.643039335201437 y[1] (numeric) = 2.643039335201556 absolute error = 1.190159082398168e-13 relative error = 4.502994210290332e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.850057548882519 y[1] (closed_form) = 2.650668838554989 y[1] (numeric) = 2.650668838555108 absolute error = 1.194599974496668e-13 relative error = 4.50678695550631e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.860062093733716 y[1] (closed_form) = 2.658233216410592 y[1] (numeric) = 2.658233216410712 absolute error = 1.20348175869367e-13 relative error = 4.527374615831222e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.870066638584914 y[1] (closed_form) = 2.665731711649042 y[1] (numeric) = 2.665731711649161 absolute error = 1.199040866595169e-13 relative error = 4.497980278193237e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.880071183436111 y[1] (closed_form) = 2.673163573745327 y[1] (numeric) = 2.673163573745447 absolute error = 1.194599974496668e-13 relative error = 4.468862235852381e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.890075728287309 y[1] (closed_form) = 2.680528058843757 y[1] (numeric) = 2.680528058843878 absolute error = 1.20792265079217e-13 relative error = 4.506286165544586e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.900080273138506 y[1] (closed_form) = 2.687824429832407 y[1] (numeric) = 2.687824429832529 absolute error = 1.225686219186173e-13 relative error = 4.560142416975493e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.910084817989703 y[1] (closed_form) = 2.6950519564169 y[1] (numeric) = 2.695051956417024 absolute error = 1.239008895481675e-13 relative error = 4.597346973336092e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.920089362840901 y[1] (closed_form) = 2.702209915193502 y[1] (numeric) = 2.702209915193628 absolute error = 1.265654248072678e-13 relative error = 4.683774716969191e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.930093907692098 y[1] (closed_form) = 2.709297589721526 y[1] (numeric) = 2.709297589721651 absolute error = 1.256772463875677e-13 relative error = 4.63873909106033e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.940098452543296 y[1] (closed_form) = 2.716314270595041 y[1] (numeric) = 2.716314270595167 absolute error = 1.261213355974178e-13 relative error = 4.643105437493777e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.950102997394493 y[1] (closed_form) = 2.723259255513878 y[1] (numeric) = 2.723259255514005 absolute error = 1.265654248072678e-13 relative error = 4.647571638690162e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.96010754224569 y[1] (closed_form) = 2.730131849353922 y[1] (numeric) = 2.730131849354047 absolute error = 1.256772463875677e-13 relative error = 4.603339813691009e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.970112087096888 y[1] (closed_form) = 2.736931364236684 y[1] (numeric) = 2.73693136423681 absolute error = 1.265654248072678e-13 relative error = 4.624355088369792e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.980116631948085 y[1] (closed_form) = 2.743657119598157 y[1] (numeric) = 2.743657119598284 absolute error = 1.265654248072678e-13 relative error = 4.613019021334741e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.990121176799283 y[1] (closed_form) = 2.75030844225693 y[1] (numeric) = 2.750308442257059 absolute error = 1.287858708565182e-13 relative error = 4.682597372636329e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.00012572165048 y[1] (closed_form) = 2.756884666481568 y[1] (numeric) = 2.756884666481696 absolute error = 1.283417816466681e-13 relative error = 4.655319216181152e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.010130266501678 y[1] (closed_form) = 2.763385134057242 y[1] (numeric) = 2.763385134057372 absolute error = 1.296740492762183e-13 relative error = 4.692579679830185e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.020134811352875 y[1] (closed_form) = 2.769809194351615 y[1] (numeric) = 2.769809194351745 absolute error = 1.301181384860683e-13 relative error = 4.69772931476342e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.030139356204073 y[1] (closed_form) = 2.776156204379959 y[1] (numeric) = 2.776156204380092 absolute error = 1.327826737451687e-13 relative error = 4.782968391176139e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.04014390105527 y[1] (closed_form) = 2.782425528869516 y[1] (numeric) = 2.782425528869649 absolute error = 1.332267629550188e-13 relative error = 4.78815197649326e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.049987082279835 y[1] (closed_form) = 2.788517309931805 y[1] (numeric) = 2.78851730993194 absolute error = 1.34559030584569e-13 relative error = 4.825468721507047e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.059991627131033 y[1] (closed_form) = 2.79463066667378 y[1] (numeric) = 2.794630666673915 absolute error = 1.35003119794419e-13 relative error = 4.830803633708857e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.06999617198223 y[1] (closed_form) = 2.800664488766507 y[1] (numeric) = 2.800664488766643 absolute error = 1.367794766338193e-13 relative error = 4.88382229226111e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.080000716833427 y[1] (closed_form) = 2.806618172284231 y[1] (numeric) = 2.806618172284368 absolute error = 1.376676550535194e-13 relative error = 4.905108091047363e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.090005261684625 y[1] (closed_form) = 2.812491121322276 y[1] (numeric) = 2.812491121322415 absolute error = 1.389999226830696e-13 relative error = 4.942235075135796e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.100009806535822 y[1] (closed_form) = 2.818282748056688 y[1] (numeric) = 2.818282748056827 absolute error = 1.389999226830696e-13 relative error = 4.932078684401531e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.11001435138702 y[1] (closed_form) = 2.823992472803065 y[1] (numeric) = 2.823992472803206 absolute error = 1.407762795224698e-13 relative error = 4.985009021031023e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.120018896238217 y[1] (closed_form) = 2.829619724074585 y[1] (numeric) = 2.829619724074725 absolute error = 1.398881011027697e-13 relative error = 4.943706743086106e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.130023441089414 y[1] (closed_form) = 2.835163938639203 y[1] (numeric) = 2.835163938639344 absolute error = 1.403321903126198e-13 relative error = 4.949702851397552e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.140027985940612 y[1] (closed_form) = 2.840624561576024 y[1] (numeric) = 2.840624561576165 absolute error = 1.412203687323199e-13 relative error = 4.971454892087837e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.150032530791809 y[1] (closed_form) = 2.846001046330844 y[1] (numeric) = 2.846001046330986 absolute error = 1.4166445794217e-13 relative error = 4.977667106792119e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.160037075643007 y[1] (closed_form) = 2.851292854770861 y[1] (numeric) = 2.851292854771004 absolute error = 1.425526363618701e-13 relative error = 4.99957891464383e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.170041620494204 y[1] (closed_form) = 2.856499457238528 y[1] (numeric) = 2.856499457238671 absolute error = 1.425526363618701e-13 relative error = 4.990466075553902e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.180046165345401 y[1] (closed_form) = 2.861620332604574 y[1] (numeric) = 2.861620332604718 absolute error = 1.438849039914203e-13 relative error = 5.028092034153947e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.190050710196599 y[1] (closed_form) = 2.866654968320159 y[1] (numeric) = 2.866654968320305 absolute error = 1.461053500406706e-13 relative error = 5.096719056018359e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.200055255047796 y[1] (closed_form) = 2.871602860468177 y[1] (numeric) = 2.871602860468322 absolute error = 1.452171716209705e-13 relative error = 5.057007485961855e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.210059799898993 y[1] (closed_form) = 2.876463513813693 y[1] (numeric) = 2.876463513813839 absolute error = 1.456612608308205e-13 relative error = 5.063900867551728e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.220064344750191 y[1] (closed_form) = 2.881236441853511 y[1] (numeric) = 2.881236441853658 absolute error = 1.461053500406706e-13 relative error = 5.070925381836432e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.230068889601388 y[1] (closed_form) = 2.885921166864869 y[1] (numeric) = 2.885921166865014 absolute error = 1.447730824111204e-13 relative error = 5.0165293519918e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.240073434452586 y[1] (closed_form) = 2.890517219953252 y[1] (numeric) = 2.890517219953399 absolute error = 1.465494392505207e-13 relative error = 5.070007479591863e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.250077979303783 y[1] (closed_form) = 2.895024141099325 y[1] (numeric) = 2.895024141099474 absolute error = 1.48769885299771e-13 relative error = 5.138813289594149e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.26008252415498 y[1] (closed_form) = 2.899441479204978 y[1] (numeric) = 2.899441479205127 absolute error = 1.49213974509621e-13 relative error = 5.146300609265453e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.270087069006178 y[1] (closed_form) = 2.903768792138474 y[1] (numeric) = 2.903768792138623 absolute error = 1.48769885299771e-13 relative error = 5.123337839518888e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.280091613857375 y[1] (closed_form) = 2.908005646778702 y[1] (numeric) = 2.908005646778852 absolute error = 1.501021529293212e-13 relative error = 5.161687120366993e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.290096158708573 y[1] (closed_form) = 2.912151619058532 y[1] (numeric) = 2.91215161905868 absolute error = 1.483257960899209e-13 relative error = 5.093340440078909e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.30010070355977 y[1] (closed_form) = 2.916206294007254 y[1] (numeric) = 2.916206294007404 absolute error = 1.505462421391712e-13 relative error = 5.162400288640099e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.310105248410967 y[1] (closed_form) = 2.920169265792116 y[1] (numeric) = 2.920169265792269 absolute error = 1.527666881884215e-13 relative error = 5.231432642552058e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.320109793262165 y[1] (closed_form) = 2.924040137758945 y[1] (numeric) = 2.924040137759098 absolute error = 1.527666881884215e-13 relative error = 5.2245072225823e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.330114338113362 y[1] (closed_form) = 2.927818522471845 y[1] (numeric) = 2.927818522471999 absolute error = 1.540989558179717e-13 relative error = 5.263268697674332e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.34011888296456 y[1] (closed_form) = 2.931504041751976 y[1] (numeric) = 2.931504041752131 absolute error = 1.554312234475219e-13 relative error = 5.302098214220113e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.350123427815757 y[1] (closed_form) = 2.935096326715409 y[1] (numeric) = 2.935096326715565 absolute error = 1.55875312657372e-13 relative error = 5.310739250313057e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.360127972666954 y[1] (closed_form) = 2.938595017810044 y[1] (numeric) = 2.938595017810199 absolute error = 1.55875312657372e-13 relative error = 5.304416284403027e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.370132517518152 y[1] (closed_form) = 2.941999764851599 y[1] (numeric) = 2.941999764851754 absolute error = 1.545430450278218e-13 relative error = 5.252993112853538e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.380137062369349 y[1] (closed_form) = 2.945310227058662 y[1] (numeric) = 2.945310227058816 absolute error = 1.545430450278218e-13 relative error = 5.247088867177038e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.390141607220547 y[1] (closed_form) = 2.948526073086795 y[1] (numeric) = 2.94852607308695 absolute error = 1.540989558179717e-13 relative error = 5.226304668781388e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.399984788445112 y[1] (closed_form) = 2.951597398768599 y[1] (numeric) = 2.951597398768754 absolute error = 1.554312234475219e-13 relative error = 5.266003538028849e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.409989333296309 y[1] (closed_form) = 2.954624595044042 y[1] (numeric) = 2.954624595044197 absolute error = 1.549871342376719e-13 relative error = 5.245577881455415e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.419993878147507 y[1] (closed_form) = 2.957556242864692 y[1] (numeric) = 2.957556242864849 absolute error = 1.567634910770721e-13 relative error = 5.3004398971372e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.429998422998704 y[1] (closed_form) = 2.960392048801676 y[1] (numeric) = 2.960392048801833 absolute error = 1.572075802869222e-13 relative error = 5.31036354967098e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.440002967849901 y[1] (closed_form) = 2.963131729018944 y[1] (numeric) = 2.963131729019102 absolute error = 1.580957587066223e-13 relative error = 5.335427958140958e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.450007512701099 y[1] (closed_form) = 2.965775009301674 y[1] (numeric) = 2.965775009301834 absolute error = 1.598721155460225e-13 relative error = 5.390567896910908e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.460012057552296 y[1] (closed_form) = 2.968321625083726 y[1] (numeric) = 2.968321625083886 absolute error = 1.603162047558726e-13 relative error = 5.400904113662234e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.470016602403494 y[1] (closed_form) = 2.970771321474114 y[1] (numeric) = 2.970771321474274 absolute error = 1.598721155460225e-13 relative error = 5.381501914684334e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.480021147254691 y[1] (closed_form) = 2.973123853282523 y[1] (numeric) = 2.973123853282684 absolute error = 1.607602939657227e-13 relative error = 5.40711729140489e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.490025692105888 y[1] (closed_form) = 2.975378985043851 y[1] (numeric) = 2.975378985044012 absolute error = 1.607602939657227e-13 relative error = 5.40301906996743e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.500030236957086 y[1] (closed_form) = 2.977536491041772 y[1] (numeric) = 2.977536491041934 absolute error = 1.612043831755727e-13 relative error = 5.4140187252305e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.510034781808283 y[1] (closed_form) = 2.979596155331333 y[1] (numeric) = 2.979596155331494 absolute error = 1.612043831755727e-13 relative error = 5.410276251267572e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.52003932665948 y[1] (closed_form) = 2.981557771760563 y[1] (numeric) = 2.981557771760725 absolute error = 1.616484723854228e-13 relative error = 5.421611277046358e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.530043871510678 y[1] (closed_form) = 2.983421143991112 y[1] (numeric) = 2.983421143991273 absolute error = 1.607602939657227e-13 relative error = 5.388454603182955e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.540048416361875 y[1] (closed_form) = 2.9851860855179 y[1] (numeric) = 2.985186085518061 absolute error = 1.616484723854228e-13 relative error = 5.415021635322222e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.550052961213073 y[1] (closed_form) = 2.986852419687781 y[1] (numeric) = 2.986852419687945 absolute error = 1.63424829224823e-13 relative error = 5.47147318520364e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.56005750606427 y[1] (closed_form) = 2.988419979717233 y[1] (numeric) = 2.988419979717397 absolute error = 1.643130076445232e-13 relative error = 5.498323821943883e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.570062050915467 y[1] (closed_form) = 2.98988860870904 y[1] (numeric) = 2.989888608709205 absolute error = 1.647570968543732e-13 relative error = 5.510476088455726e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.580066595766665 y[1] (closed_form) = 2.991258159668007 y[1] (numeric) = 2.991258159668172 absolute error = 1.656452752740734e-13 relative error = 5.537645580295148e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.590071140617862 y[1] (closed_form) = 2.992528495515663 y[1] (numeric) = 2.992528495515828 absolute error = 1.647570968543732e-13 relative error = 5.505614970793547e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.60007568546906 y[1] (closed_form) = 2.993699489103988 y[1] (numeric) = 2.993699489104154 absolute error = 1.652011860642233e-13 relative error = 5.518295562580594e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.610080230320257 y[1] (closed_form) = 2.994771023228139 y[1] (numeric) = 2.994771023228305 absolute error = 1.665334536937735e-13 relative error = 5.560807567660479e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.620084775171454 y[1] (closed_form) = 2.995742990638174 y[1] (numeric) = 2.99574299063834 absolute error = 1.656452752740734e-13 relative error = 5.529355348296632e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.630089320022652 y[1] (closed_form) = 2.996615294049796 y[1] (numeric) = 2.996615294049961 absolute error = 1.652011860642233e-13 relative error = 5.512926080042829e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.640093864873849 y[1] (closed_form) = 2.997387846154083 y[1] (numeric) = 2.997387846154249 absolute error = 1.656452752740734e-13 relative error = 5.526321042724286e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.650098409725047 y[1] (closed_form) = 2.998060569626233 y[1] (numeric) = 2.998060569626398 absolute error = 1.652011860642233e-13 relative error = 5.510268462815575e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.660102954576244 y[1] (closed_form) = 2.998633397133296 y[1] (numeric) = 2.998633397133462 absolute error = 1.660893644839234e-13 relative error = 5.538835278854208e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.670107499427441 y[1] (closed_form) = 2.99910627134092 y[1] (numeric) = 2.999106271341086 absolute error = 1.656452752740734e-13 relative error = 5.523154576313572e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.680112044278639 y[1] (closed_form) = 2.999479144919087 y[1] (numeric) = 2.999479144919252 absolute error = 1.652011860642233e-13 relative error = 5.507662433461584e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.690116589129836 y[1] (closed_form) = 2.999751980546848 y[1] (numeric) = 2.999751980547014 absolute error = 1.656452752740734e-13 relative error = 5.52196569410637e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.700121133981034 y[1] (closed_form) = 2.999924750916064 y[1] (numeric) = 2.999924750916231 absolute error = 1.669775429036235e-13 relative error = 5.56605771036873e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.710125678832231 y[1] (closed_form) = 2.999997438734135 y[1] (numeric) = 2.999997438734302 absolute error = 1.669775429036235e-13 relative error = 5.565922848723518e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.720130223683428 y[1] (closed_form) = 2.999970036725729 y[1] (numeric) = 2.999970036725895 absolute error = 1.665334536937735e-13 relative error = 5.551170566874523e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.730134768534626 y[1] (closed_form) = 2.999842547633517 y[1] (numeric) = 2.999842547633683 absolute error = 1.665334536937735e-13 relative error = 5.551406483821845e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.740139313385823 y[1] (closed_form) = 2.999614984217892 y[1] (numeric) = 2.999614984218059 absolute error = 1.665334536937735e-13 relative error = 5.55182763687903e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.750143858237021 y[1] (closed_form) = 2.999287369255696 y[1] (numeric) = 2.999287369255864 absolute error = 1.687538997430238e-13 relative error = 5.62646652244269e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.759987039461586 y[1] (closed_form) = 2.998867426237869 y[1] (numeric) = 2.998867426238038 absolute error = 1.691979889528739e-13 relative error = 5.642062982595255e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.769991584312783 y[1] (closed_form) = 2.998341428689702 y[1] (numeric) = 2.998341428689871 absolute error = 1.687538997430238e-13 relative error = 5.628241604785167e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.779996129163981 y[1] (closed_form) = 2.997715507065243 y[1] (numeric) = 2.997715507065413 absolute error = 1.696420781627239e-13 relative error = 5.659045288417083e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.790000674015178 y[1] (closed_form) = 2.996989724013038 y[1] (numeric) = 2.996989724013206 absolute error = 1.678657213233237e-13 relative error = 5.601144374247224e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.800005218866375 y[1] (closed_form) = 2.996164152176772 y[1] (numeric) = 2.996164152176941 absolute error = 1.687538997430238e-13 relative error = 5.632331580378224e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.810009763717573 y[1] (closed_form) = 2.995238874188 y[1] (numeric) = 2.99523887418817 absolute error = 1.70086167372574e-13 relative error = 5.678551011016903e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.82001430856877 y[1] (closed_form) = 2.994213982657871 y[1] (numeric) = 2.994213982658042 absolute error = 1.70530256582424e-13 relative error = 5.69532630500408e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.830018853419968 y[1] (closed_form) = 2.993089580167864 y[1] (numeric) = 2.993089580168038 absolute error = 1.736388810513745e-13 relative error = 5.801325900898567e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.840023398271165 y[1] (closed_form) = 2.991865779259518 y[1] (numeric) = 2.99186577925969 absolute error = 1.718625242119742e-13 relative error = 5.744326012329e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.850027943122362 y[1] (closed_form) = 2.990542702423167 y[1] (numeric) = 2.990542702423338 absolute error = 1.714184350021242e-13 relative error = 5.732017632225343e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.86003248797356 y[1] (closed_form) = 2.98912048208568 y[1] (numeric) = 2.989120482085853 absolute error = 1.736388810513745e-13 relative error = 5.80902918072465e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.870037032824757 y[1] (closed_form) = 2.987599260597209 y[1] (numeric) = 2.987599260597383 absolute error = 1.740829702612245e-13 relative error = 5.826851430751327e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.880041577675954 y[1] (closed_form) = 2.985979190216939 y[1] (numeric) = 2.985979190217112 absolute error = 1.731947918415244e-13 relative error = 5.800267878924547e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.890046122527152 y[1] (closed_form) = 2.984260433097849 y[1] (numeric) = 2.984260433098023 absolute error = 1.745270594710746e-13 relative error = 5.848251631641432e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.900050667378349 y[1] (closed_form) = 2.98244316127048 y[1] (numeric) = 2.982443161270655 absolute error = 1.740829702612245e-13 relative error = 5.836924992296167e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.910055212229547 y[1] (closed_form) = 2.980527556625721 y[1] (numeric) = 2.980527556625895 absolute error = 1.736388810513745e-13 relative error = 5.825776737590456e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.920059757080744 y[1] (closed_form) = 2.9785138108966 y[1] (numeric) = 2.978513810896773 absolute error = 1.731947918415244e-13 relative error = 5.814805733245496e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.930064301931941 y[1] (closed_form) = 2.976402125639092 y[1] (numeric) = 2.976402125639265 absolute error = 1.731947918415244e-13 relative error = 5.818931197152538e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.940068846783139 y[1] (closed_form) = 2.974192712211951 y[1] (numeric) = 2.974192712212124 absolute error = 1.727507026316744e-13 relative error = 5.808322437290794e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.950073391634336 y[1] (closed_form) = 2.971885791755549 y[1] (numeric) = 2.971885791755722 absolute error = 1.731947918415244e-13 relative error = 5.827774146704843e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.960077936485534 y[1] (closed_form) = 2.969481595169746 y[1] (numeric) = 2.969481595169923 absolute error = 1.763034163104749e-13 relative error = 5.937178280453249e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.970082481336731 y[1] (closed_form) = 2.966980363090777 y[1] (numeric) = 2.966980363090955 absolute error = 1.77635683940025e-13 relative error = 5.987086606632527e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.980087026187928 y[1] (closed_form) = 2.964382345867169 y[1] (numeric) = 2.964382345867347 absolute error = 1.77635683940025e-13 relative error = 5.992333755046075e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.990091571039126 y[1] (closed_form) = 2.96168780353468 y[1] (numeric) = 2.961687803534859 absolute error = 1.789679515695752e-13 relative error = 6.042768969638957e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0001613636266322163 NO POLE (given) for Equation 1 NO 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 , 2 ) = sin ( x ) ; Iterations = 22740 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %