##############ECHO OF PROBLEM################# ##############temp/mult_lin_sinpostode.ode################# diff ( y , x , 1 ) = ( 0.2 * x + 0.3 ) * sin ( x ) ; ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=c(0.1); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=3; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=true; glob_h=c(0.001); glob_display_interval=c(0.01); // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(c(0.2) * sin(c(x)) - c(0.2) * cos(c(x)) * c(x) - c(0.3) * 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) = -0.2984346495596026 y[1] (numeric) = -0.2984346495596026 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (closed_form) = -0.2980982033746214 y[1] (numeric) = -0.2980982033746215 absolute error = 5.551115123125783e-17 relative error = 1.862176645241189e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (closed_form) = -0.2977275565588688 y[1] (numeric) = -0.2977275565588688 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (closed_form) = -0.2973223488270819 y[1] (numeric) = -0.2973223488270819 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (closed_form) = -0.2968822238288977 y[1] (numeric) = -0.2968822238288977 absolute error = 5.551115123125783e-17 relative error = 1.869803806887765e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (closed_form) = -0.2964068292241741 y[1] (numeric) = -0.2964068292241742 absolute error = 5.551115123125783e-17 relative error = 1.87280270756766e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600000000000001 y[1] (closed_form) = -0.2958958167578589 y[1] (numeric) = -0.295895816757859 absolute error = 1.110223024625157e-16 relative error = 3.752074080633887e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1700000000000001 y[1] (closed_form) = -0.295348842334394 y[1] (numeric) = -0.2953488423343942 absolute error = 1.665334536937735e-16 relative error = 5.638534161079401e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800000000000001 y[1] (closed_form) = -0.2947655660916439 y[1] (numeric) = -0.2947655660916441 absolute error = 1.110223024625157e-16 relative error = 3.766461053595328e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (closed_form) = -0.2941456524743373 y[1] (numeric) = -0.2941456524743373 absolute error = 5.551115123125783e-17 relative error = 1.887199445727007e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (closed_form) = -0.2934887703070099 y[1] (numeric) = -0.29348877030701 absolute error = 1.110223024625157e-16 relative error = 3.782846694487783e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (closed_form) = -0.2927945928664388 y[1] (numeric) = -0.2927945928664389 absolute error = 1.110223024625157e-16 relative error = 3.791815326082869e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (closed_form) = -0.2920627979535544 y[1] (numeric) = -0.2920627979535546 absolute error = 1.110223024625157e-16 relative error = 3.801316129285698e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (closed_form) = -0.291293067964822 y[1] (numeric) = -0.2912930679648221 absolute error = 1.110223024625157e-16 relative error = 3.811360951298822e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (closed_form) = -0.2904850899630794 y[1] (numeric) = -0.2904850899630795 absolute error = 1.110223024625157e-16 relative error = 3.821962169439629e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (closed_form) = -0.289638555747821 y[1] (numeric) = -0.2896385557478212 absolute error = 1.665334536937735e-16 relative error = 5.74969907800427e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (closed_form) = -0.2887531619249176 y[1] (numeric) = -0.2887531619249177 absolute error = 1.110223024625157e-16 relative error = 3.844886120810132e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (closed_form) = -0.287828609975759 y[1] (numeric) = -0.2878286099757592 absolute error = 1.665334536937735e-16 relative error = 5.785854773359708e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (closed_form) = -0.2868646063258117 y[1] (numeric) = -0.2868646063258118 absolute error = 1.665334536937735e-16 relative error = 5.8052980403107e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (closed_form) = -0.2858608624125785 y[1] (numeric) = -0.2858608624125787 absolute error = 2.220446049250313e-16 relative error = 7.767576262488071e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (closed_form) = -0.2848170947529503 y[1] (numeric) = -0.2848170947529504 absolute error = 1.110223024625157e-16 relative error = 3.898021028506599e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (closed_form) = -0.2837330250099395 y[1] (numeric) = -0.2837330250099396 absolute error = 1.110223024625157e-16 relative error = 3.912914348219648e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (closed_form) = -0.2826083800587849 y[1] (numeric) = -0.282608380058785 absolute error = 1.110223024625157e-16 relative error = 3.92848585874991e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (closed_form) = -0.281442892052416 y[1] (numeric) = -0.281442892052416 absolute error = 5.551115123125783e-17 relative error = 1.972377089591569e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (closed_form) = -0.2802362984862685 y[1] (numeric) = -0.2802362984862686 absolute error = 5.551115123125783e-17 relative error = 1.980869413816421e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (closed_form) = -0.2789883422624399 y[1] (numeric) = -0.27898834226244 absolute error = 5.551115123125783e-17 relative error = 1.98973013643127e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (closed_form) = -0.2776987717531737 y[1] (numeric) = -0.2776987717531738 absolute error = 5.551115123125783e-17 relative error = 1.998969994746598e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (closed_form) = -0.2763673408636644 y[1] (numeric) = -0.2763673408636645 absolute error = 5.551115123125783e-17 relative error = 2.008600258546548e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (closed_form) = -0.2749938090941713 y[1] (numeric) = -0.2749938090941714 absolute error = 1.110223024625157e-16 relative error = 4.037265523475702e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (closed_form) = -0.273577941601432 y[1] (numeric) = -0.2735779416014321 absolute error = 1.110223024625157e-16 relative error = 4.05815987256242e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (closed_form) = -0.2721195092593662 y[1] (numeric) = -0.2721195092593662 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (closed_form) = -0.2706182887190585 y[1] (numeric) = -0.2706182887190586 absolute error = 5.551115123125783e-17 relative error = 2.05127123868877e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (closed_form) = -0.2690740624680122 y[1] (numeric) = -0.2690740624680124 absolute error = 1.110223024625157e-16 relative error = 4.126087124273232e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (closed_form) = -0.2674866188886634 y[1] (numeric) = -0.2674866188886635 absolute error = 5.551115123125783e-17 relative error = 2.075287035362444e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (closed_form) = -0.2658557523161458 y[1] (numeric) = -0.2658557523161458 absolute error = 5.551115123125783e-17 relative error = 2.088017684313486e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (closed_form) = -0.2641812630952979 y[1] (numeric) = -0.2641812630952978 absolute error = 5.551115123125783e-17 relative error = 2.101252396966296e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (closed_form) = -0.2624629576369019 y[1] (numeric) = -0.2624629576369018 absolute error = 5.551115123125783e-17 relative error = 2.115008979973982e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (closed_form) = -0.2607006484731459 y[1] (numeric) = -0.2607006484731458 absolute error = 1.110223024625157e-16 relative error = 4.258612439698314e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (closed_form) = -0.2588941543122998 y[1] (numeric) = -0.2588941543122998 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (closed_form) = -0.2570433000925967 y[1] (numeric) = -0.2570433000925966 absolute error = 5.551115123125783e-17 relative error = 2.1596031178895e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (closed_form) = -0.2551479170353084 y[1] (numeric) = -0.2551479170353083 absolute error = 5.551115123125783e-17 relative error = 2.175645871472115e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (closed_form) = -0.2532078426970105 y[1] (numeric) = -0.2532078426970104 absolute error = 1.110223024625157e-16 relative error = 4.384631268920268e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (closed_form) = -0.2512229210210231 y[1] (numeric) = -0.2512229210210231 absolute error = 5.551115123125783e-17 relative error = 2.209637202117098e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (closed_form) = -0.2491930023880235 y[1] (numeric) = -0.2491930023880234 absolute error = 5.551115123125783e-17 relative error = 2.227636839690237e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (closed_form) = -0.2471179436658175 y[1] (numeric) = -0.2471179436658175 absolute error = 5.551115123125783e-17 relative error = 2.246342390511579e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (closed_form) = -0.2449976082582654 y[1] (numeric) = -0.2449976082582654 absolute error = 8.326672684688674e-17 relative error = 3.398675090701731e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (closed_form) = -0.2428318661533506 y[1] (numeric) = -0.2428318661533506 absolute error = 2.775557561562891e-17 relative error = 1.142995606602183e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (closed_form) = -0.2406205939703853 y[1] (numeric) = -0.2406205939703852 absolute error = 5.551115123125783e-17 relative error = 2.306999177222958e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (closed_form) = -0.238363675006343 y[1] (numeric) = -0.2383636750063429 absolute error = 8.326672684688674e-17 relative error = 3.493264099266425e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (closed_form) = -0.2360609992813115 y[1] (numeric) = -0.2360609992813114 absolute error = 8.326672684688674e-17 relative error = 3.527339420759574e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (closed_form) = -0.2337124635830577 y[1] (numeric) = -0.2337124635830577 absolute error = 5.551115123125783e-17 relative error = 2.37519002539332e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (closed_form) = -0.231317971510696 y[1] (numeric) = -0.2313179715106959 absolute error = 5.551115123125783e-17 relative error = 2.399776846940361e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (closed_form) = -0.2288774335174533 y[1] (numeric) = -0.2288774335174532 absolute error = 8.326672684688674e-17 relative error = 3.638048783019806e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (closed_form) = -0.2263907669525227 y[1] (numeric) = -0.2263907669525226 absolute error = 1.110223024625157e-16 relative error = 4.904011941697188e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (closed_form) = -0.2238578961019987 y[1] (numeric) = -0.2238578961019986 absolute error = 8.326672684688674e-17 relative error = 3.719624292767724e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (closed_form) = -0.221278752228886 y[1] (numeric) = -0.2212787522288859 absolute error = 1.110223024625157e-16 relative error = 5.017305156695595e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (closed_form) = -0.2186532736121748 y[1] (numeric) = -0.2186532736121748 absolute error = 2.775557561562891e-17 relative error = 1.269387608843166e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (closed_form) = -0.2159814055849765 y[1] (numeric) = -0.2159814055849765 absolute error = 5.551115123125783e-17 relative error = 2.570181959919569e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (closed_form) = -0.2132631005717107 y[1] (numeric) = -0.2132631005717107 absolute error = 2.775557561562891e-17 relative error = 1.301471072174343e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (closed_form) = -0.210498318124339 y[1] (numeric) = -0.2104983181243389 absolute error = 1.110223024625157e-16 relative error = 5.274260785159149e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (closed_form) = -0.2076870249576365 y[1] (numeric) = -0.2076870249576365 absolute error = 5.551115123125783e-17 relative error = 2.672827117754749e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (closed_form) = -0.2048291949834971 y[1] (numeric) = -0.2048291949834971 absolute error = 5.551115123125783e-17 relative error = 2.710119093898226e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (closed_form) = -0.2019248093442626 y[1] (numeric) = -0.2019248093442625 absolute error = 5.551115123125783e-17 relative error = 2.749100093818417e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (closed_form) = -0.1989738564450724 y[1] (numeric) = -0.1989738564450724 absolute error = 2.775557561562891e-17 relative error = 1.394935802698831e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (closed_form) = -0.1959763319852262 y[1] (numeric) = -0.1959763319852262 absolute error = 2.775557561562891e-17 relative error = 1.41627181887052e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (closed_form) = -0.1929322389885524 y[1] (numeric) = -0.1929322389885524 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (closed_form) = -0.1898415878327787 y[1] (numeric) = -0.1898415878327787 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (closed_form) = -0.1867043962778968 y[1] (numeric) = -0.1867043962778968 absolute error = 2.775557561562891e-17 relative error = 1.486605359539399e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (closed_form) = -0.1835206894935162 y[1] (numeric) = -0.1835206894935163 absolute error = 2.775557561562891e-17 relative error = 1.512394907202521e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (closed_form) = -0.1802905000852023 y[1] (numeric) = -0.1802905000852024 absolute error = 1.110223024625157e-16 relative error = 6.157967414259117e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (closed_form) = -0.1770138681197913 y[1] (numeric) = -0.1770138681197914 absolute error = 1.387778780781446e-16 relative error = 7.839943816392333e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (closed_form) = -0.1736908411496784 y[1] (numeric) = -0.1736908411496785 absolute error = 8.326672684688674e-17 relative error = 4.793961863258608e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (closed_form) = -0.1703214742360733 y[1] (numeric) = -0.1703214742360734 absolute error = 8.326672684688674e-17 relative error = 4.888797917018689e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (closed_form) = -0.1669058299712177 y[1] (numeric) = -0.1669058299712178 absolute error = 1.387778780781446e-16 relative error = 8.314741198799127e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (closed_form) = -0.1634439784995601 y[1] (numeric) = -0.1634439784995602 absolute error = 1.110223024625157e-16 relative error = 6.792682329549049e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (closed_form) = -0.1599359975378828 y[1] (numeric) = -0.159935997537883 absolute error = 1.665334536937735e-16 relative error = 1.041250601849831e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (closed_form) = -0.1563819723943768 y[1] (numeric) = -0.156381972394377 absolute error = 1.387778780781446e-16 relative error = 8.874288765725705e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (closed_form) = -0.1527819959866593 y[1] (numeric) = -0.1527819959866595 absolute error = 2.220446049250313e-16 relative error = 1.453342741669771e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (closed_form) = -0.14913616885873 y[1] (numeric) = -0.1491361688587303 absolute error = 2.220446049250313e-16 relative error = 1.488871590468199e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (closed_form) = -0.1454445991968621 y[1] (numeric) = -0.1454445991968623 absolute error = 2.220446049250313e-16 relative error = 1.526661052738642e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (closed_form) = -0.141707402844422 y[1] (numeric) = -0.1417074028444222 absolute error = 2.220446049250313e-16 relative error = 1.566923113881425e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (closed_form) = -0.1379247033156168 y[1] (numeric) = -0.137924703315617 absolute error = 1.942890293094024e-16 relative error = 1.408660121347556e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (closed_form) = -0.1340966318081625 y[1] (numeric) = -0.1340966318081628 absolute error = 2.775557561562891e-16 relative error = 2.069818998536503e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (closed_form) = -0.1302233272148712 y[1] (numeric) = -0.1302233272148715 absolute error = 2.498001805406602e-16 relative error = 1.918244494924359e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (closed_form) = -0.1263049361341528 y[1] (numeric) = -0.1263049361341531 absolute error = 2.498001805406602e-16 relative error = 1.977754695789077e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (closed_form) = -0.1223416128794279 y[1] (numeric) = -0.1223416128794281 absolute error = 2.636779683484747e-16 relative error = 2.155259867371039e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (closed_form) = -0.1183335194874487 y[1] (numeric) = -0.118333519487449 absolute error = 2.775557561562891e-16 relative error = 2.345537911476796e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (closed_form) = -0.1142808257255247 y[1] (numeric) = -0.114280825725525 absolute error = 2.775557561562891e-16 relative error = 2.42871675448786e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (closed_form) = -0.1101837090976493 y[1] (numeric) = -0.1101837090976496 absolute error = 2.914335439641036e-16 relative error = 2.64497852133316e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (closed_form) = -0.1060423548495262 y[1] (numeric) = -0.1060423548495264 absolute error = 2.220446049250313e-16 relative error = 2.093923746224911e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (closed_form) = -0.1018569559724903 y[1] (numeric) = -0.1018569559724905 absolute error = 2.220446049250313e-16 relative error = 2.179965057909266e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.01 y[1] (closed_form) = -0.09762771320632356 y[1] (numeric) = -0.09762771320632335 absolute error = 2.081668171172169e-16 relative error = 2.132251286858304e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.019999999999998 y[1] (closed_form) = -0.09335483504095946 y[1] (numeric) = -0.09335483504095875 absolute error = 7.077671781985373e-16 relative error = 7.581473181201641e-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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.029999999999997 y[1] (closed_form) = -0.08903853771707783 y[1] (numeric) = -0.0890385377170767 absolute error = 1.124100812432971e-15 relative error = 1.26248795325551e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.039999999999996 y[1] (closed_form) = -0.08467904522558539 y[1] (numeric) = -0.08467904522558374 absolute error = 1.65145674912992e-15 relative error = 1.950254333560837e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.049999999999995 y[1] (closed_form) = -0.0802765893059795 y[1] (numeric) = -0.08027658930597739 absolute error = 2.109423746787797e-15 relative error = 2.62769478004053e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.059999999999994 y[1] (closed_form) = -0.07583140944359548 y[1] (numeric) = -0.07583140944359289 absolute error = 2.595146320061303e-15 relative error = 3.422257794102602e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.069999999999993 y[1] (closed_form) = -0.07134375286573338 y[1] (numeric) = -0.07134375286573026 absolute error = 3.122502256758253e-15 relative error = 4.376700315491814e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.079999999999992 y[1] (closed_form) = -0.06681387453666404 y[1] (numeric) = -0.06681387453666043 absolute error = 3.608224830031759e-15 relative error = 5.400412496736362e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.089999999999991 y[1] (closed_form) = -0.06224203715151262 y[1] (numeric) = -0.06224203715150851 absolute error = 4.107825191113079e-15 relative error = 6.599760192799618e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.09999999999999 y[1] (closed_form) = -0.05762851112901794 y[1] (numeric) = -0.05762851112901333 absolute error = 4.614364446098307e-15 relative error = 8.007085999094665e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.109999999999989 y[1] (closed_form) = -0.05297357460316682 y[1] (numeric) = -0.05297357460316164 absolute error = 5.176414852314792e-15 relative error = 9.77169256764738e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.119999999999987 y[1] (closed_form) = -0.04827751341370208 y[1] (numeric) = -0.04827751341369642 absolute error = 5.662137425588298e-15 relative error = 1.172831205507216e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.129999999999986 y[1] (closed_form) = -0.04354062109550406 y[1] (numeric) = -0.04354062109549785 absolute error = 6.210310043996969e-15 relative error = 1.426325552493838e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.139999999999985 y[1] (closed_form) = -0.0387631988668435 y[1] (numeric) = -0.03876319886683677 absolute error = 6.730727086790012e-15 relative error = 1.736370393452541e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.149999999999984 y[1] (closed_form) = -0.03394555561650682 y[1] (numeric) = -0.03394555561649956 absolute error = 7.258083023486961e-15 relative error = 2.138154138787332e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.159999999999983 y[1] (closed_form) = -0.02908800788979218 y[1] (numeric) = -0.02908800788978442 absolute error = 7.764622278472189e-15 relative error = 2.669355119776703e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.169999999999982 y[1] (closed_form) = -0.02419087987337668 y[1] (numeric) = -0.02419087987336836 absolute error = 8.316264343832813e-15 relative error = 3.437768443050844e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.179999999999981 y[1] (closed_form) = -0.01925450337905404 y[1] (numeric) = -0.01925450337904518 absolute error = 8.860967515289531e-15 relative error = 4.602023402446675e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.18999999999998 y[1] (closed_form) = -0.01427921782634349 y[1] (numeric) = -0.01427921782633408 absolute error = 9.409140133698202e-15 relative error = 6.589394635005453e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.199999999999979 y[1] (closed_form) = -0.009265370223969199 y[1] (numeric) = -0.009265370223959244 absolute error = 9.955578028630896e-15 relative error = 1.074493278517479e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.209999999999978 y[1] (closed_form) = -0.004213315150211255 y[1] (numeric) = -0.004213315150200722 absolute error = 1.053324094613117e-14 relative error = 2.499988861645689e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.219999999999976 y[1] (closed_form) = 0.0008765852678719183 y[1] (numeric) = 0.0008765852678829857 absolute error = 1.106742735651478e-14 relative error = 1.262561414405597e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.229999999999975 y[1] (closed_form) = 0.006003961376348413 y[1] (numeric) = 0.006003961376360042 absolute error = 1.162958618294851e-14 relative error = 1.93698550906095e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.239999999999974 y[1] (closed_form) = 0.01116843601744508 y[1] (numeric) = 0.01116843601745729 absolute error = 1.220898382392477e-14 relative error = 1.093168623149594e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.249999999999973 y[1] (closed_form) = 0.01636962455370548 y[1] (numeric) = 0.01636962455371824 absolute error = 1.276062588928539e-14 relative error = 7.795307612230394e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.259999999999972 y[1] (closed_form) = 0.02160713489327278 y[1] (numeric) = 0.02160713489328611 absolute error = 1.333308463635774e-14 relative error = 6.170686073010494e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.269999999999971 y[1] (closed_form) = 0.0268805675162965 y[1] (numeric) = 0.02688056751631043 absolute error = 1.392982951209376e-14 relative error = 5.182118831251878e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.27999999999997 y[1] (closed_form) = 0.03218951550246166 y[1] (numeric) = 0.03218951550247619 absolute error = 1.453698272868564e-14 relative error = 4.51606136400964e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.289999999999969 y[1] (closed_form) = 0.03753356455963863 y[1] (numeric) = 0.03753356455965372 absolute error = 1.509209424099822e-14 relative error = 4.020959484681443e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.299999999999968 y[1] (closed_form) = 0.04291229305365217 y[1] (numeric) = 0.04291229305366789 absolute error = 1.571659469234987e-14 relative error = 3.662492394125806e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.309999999999967 y[1] (closed_form) = 0.0483252720391683 y[1] (numeric) = 0.04832527203918458 absolute error = 1.628558399247027e-14 relative error = 3.369993236514132e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.319999999999965 y[1] (closed_form) = 0.05377206529169583 y[1] (numeric) = 0.05377206529171272 absolute error = 1.688926776211019e-14 relative error = 3.140899958090033e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.329999999999964 y[1] (closed_form) = 0.05925222934070198 y[1] (numeric) = 0.05925222934071948 absolute error = 1.749295153175012e-14 relative error = 2.952285800280216e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.339999999999963 y[1] (closed_form) = 0.06476531350383856 y[1] (numeric) = 0.06476531350385668 absolute error = 1.812439087700568e-14 relative error = 2.798471882010031e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.349999999999962 y[1] (closed_form) = 0.07031085992227704 y[1] (numeric) = 0.07031085992229578 absolute error = 1.874889132835733e-14 relative error = 2.666571188161077e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.359999999999961 y[1] (closed_form) = 0.07588840359714957 y[1] (numeric) = 0.0758884035971689 absolute error = 1.933175841628554e-14 relative error = 2.547392948059281e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.36999999999996 y[1] (closed_form) = 0.08149747242709343 y[1] (numeric) = 0.08149747242711336 absolute error = 1.992850329202156e-14 relative error = 2.44529096406632e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.379999999999959 y[1] (closed_form) = 0.08713758724689608 y[1] (numeric) = 0.08713758724691663 absolute error = 2.055300374337321e-14 relative error = 2.35868405274273e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.389999999999958 y[1] (closed_form) = 0.09280826186723759 y[1] (numeric) = 0.09280826186725875 absolute error = 2.116362640691705e-14 relative error = 2.280360172803544e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.399999999999957 y[1] (closed_form) = 0.09850900311552752 y[1] (numeric) = 0.09850900311554933 absolute error = 2.181588243388433e-14 relative error = 2.214607979364029e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.409999999999956 y[1] (closed_form) = 0.1042393108778328 y[1] (numeric) = 0.1042393108778552 absolute error = 2.248201624865942e-14 relative error = 2.156769462435153e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.419999999999954 y[1] (closed_form) = 0.1099986781418932 y[1] (numeric) = 0.1099986781419163 absolute error = 2.312039448781888e-14 relative error = 2.101879302403494e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.429999999999953 y[1] (closed_form) = 0.1157865910412208 y[1] (numeric) = 0.1157865910412445 absolute error = 2.374489493917054e-14 relative error = 2.050746526488304e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.439999999999952 y[1] (closed_form) = 0.1216025289002799 y[1] (numeric) = 0.1216025289003043 absolute error = 2.439715096613781e-14 relative error = 2.006302926984741e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.449999999999951 y[1] (closed_form) = 0.1274459642807428 y[1] (numeric) = 0.1274459642807678 absolute error = 2.506328478091291e-14 relative error = 1.966581281907253e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.45999999999995 y[1] (closed_form) = 0.1333163630288184 y[1] (numeric) = 0.1333163630288441 absolute error = 2.567390744445674e-14 relative error = 1.925788167421499e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.469999999999949 y[1] (closed_form) = 0.1392131843236485 y[1] (numeric) = 0.1392131843236749 absolute error = 2.634004125923184e-14 relative error = 1.892065136445369e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.479999999999948 y[1] (closed_form) = 0.1451358807267685 y[1] (numeric) = 0.1451358807267954 absolute error = 2.692290834716005e-14 relative error = 1.855013950536799e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.489999999999947 y[1] (closed_form) = 0.1510838982326262 y[1] (numeric) = 0.1510838982326537 absolute error = 2.756128658631951e-14 relative error = 1.824237189318678e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.499999999999946 y[1] (closed_form) = 0.1570566763201566 y[1] (numeric) = 0.1570566763201848 absolute error = 2.819966482547898e-14 relative error = 1.795508824342786e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.509999999999944 y[1] (closed_form) = 0.163053648005406 y[1] (numeric) = 0.1630536480054348 absolute error = 2.883804306463844e-14 relative error = 1.768622991107953e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.519999999999943 y[1] (closed_form) = 0.1690742398952006 y[1] (numeric) = 0.1690742398952302 absolute error = 2.953193245502916e-14 relative error = 1.746684324787401e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.529999999999942 y[1] (closed_form) = 0.1751178722418561 y[1] (numeric) = 0.1751178722418862 absolute error = 3.017031069418863e-14 relative error = 1.722857313645307e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.539999999999941 y[1] (closed_form) = 0.1811839589989206 y[1] (numeric) = 0.1811839589989515 absolute error = 3.083644450896372e-14 relative error = 1.701941202705888e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.54999999999994 y[1] (closed_form) = 0.1872719078779485 y[1] (numeric) = 0.18727190787798 absolute error = 3.147482274812319e-14 relative error = 1.680701772346785e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.559999999999939 y[1] (closed_form) = 0.1933811204062963 y[1] (numeric) = 0.1933811204063284 absolute error = 3.214095656289828e-14 relative error = 1.662052453485103e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.569999999999938 y[1] (closed_form) = 0.1995109919859386 y[1] (numeric) = 0.1995109919859714 absolute error = 3.277933480205775e-14 relative error = 1.642983901577113e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.579999999999937 y[1] (closed_form) = 0.205660911953295 y[1] (numeric) = 0.2056609119533286 absolute error = 3.358424649491099e-14 relative error = 1.632991226963823e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.589999999999936 y[1] (closed_form) = 0.2118302636400644 y[1] (numeric) = 0.2118302636400987 absolute error = 3.427813588530171e-14 relative error = 1.618188794002828e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.599999999999935 y[1] (closed_form) = 0.2180184244350595 y[1] (numeric) = 0.2180184244350944 absolute error = 3.491651412446117e-14 relative error = 1.601539604505382e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.609999999999933 y[1] (closed_form) = 0.2242247658470351 y[1] (numeric) = 0.2242247658470706 absolute error = 3.555489236362064e-14 relative error = 1.585680878261057e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.619999999999932 y[1] (closed_form) = 0.230448653568505 y[1] (numeric) = 0.2304486535685413 absolute error = 3.627653732962699e-14 relative error = 1.574170070767766e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.629999999999931 y[1] (closed_form) = 0.2366894475405404 y[1] (numeric) = 0.2366894475405773 absolute error = 3.691491556878645e-14 relative error = 1.559635038755314e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.63999999999993 y[1] (closed_form) = 0.242946502018542 y[1] (numeric) = 0.2429465020185796 absolute error = 3.763656053479281e-14 relative error = 1.549170711332997e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.649999999999929 y[1] (closed_form) = 0.2492191656389816 y[1] (numeric) = 0.24921916563902 absolute error = 3.835820550079916e-14 relative error = 1.539135459443949e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.659999999999928 y[1] (closed_form) = 0.2555067814871042 y[1] (numeric) = 0.2555067814871432 absolute error = 3.907985046680551e-14 relative error = 1.529503453464226e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.669999999999927 y[1] (closed_form) = 0.2618086871655835 y[1] (numeric) = 0.2618086871656233 absolute error = 3.97459842815806e-14 relative error = 1.518130842482047e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.679999999999926 y[1] (closed_form) = 0.2681242148641264 y[1] (numeric) = 0.2681242148641669 absolute error = 4.052314039881821e-14 relative error = 1.511356981291435e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.689999999999925 y[1] (closed_form) = 0.2744526914300146 y[1] (numeric) = 0.274452691430056 absolute error = 4.135580766728708e-14 relative error = 1.506846496997564e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.699999999999924 y[1] (closed_form) = 0.280793438439581 y[1] (numeric) = 0.2807934384396231 absolute error = 4.213296378452469e-14 relative error = 1.50049673591609e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.709999999999922 y[1] (closed_form) = 0.2871457722706087 y[1] (numeric) = 0.2871457722706515 absolute error = 4.274358644806853e-14 relative error = 1.488567500404867e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.719999999999921 y[1] (closed_form) = 0.2935090041756484 y[1] (numeric) = 0.2935090041756919 absolute error = 4.346523141407488e-14 relative error = 1.480882385061803e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.72999999999992 y[1] (closed_form) = 0.2998824403562442 y[1] (numeric) = 0.2998824403562884 absolute error = 4.413136522884997e-14 relative error = 1.471622185561258e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.739999999999919 y[1] (closed_form) = 0.306265382038061 y[1] (numeric) = 0.3062653820381058 absolute error = 4.485301019485632e-14 relative error = 1.464514529731677e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.749999999999918 y[1] (closed_form) = 0.3126571255469048 y[1] (numeric) = 0.3126571255469504 absolute error = 4.551914400963142e-14 relative error = 1.455880589000126e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.759999999999917 y[1] (closed_form) = 0.3190569623856284 y[1] (numeric) = 0.3190569623856745 absolute error = 4.618527782440651e-14 relative error = 1.447555868365118e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.769999999999916 y[1] (closed_form) = 0.3254641793119125 y[1] (numeric) = 0.3254641793119593 absolute error = 4.685141163918161e-14 relative error = 1.439525902304628e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.779999999999915 y[1] (closed_form) = 0.3318780584169164 y[1] (numeric) = 0.331878058416964 absolute error = 4.762856775641922e-14 relative error = 1.435122526135386e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.789999999999914 y[1] (closed_form) = 0.3382978772047873 y[1] (numeric) = 0.3382978772048356 absolute error = 4.823919041996305e-14 relative error = 1.42593831266525e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.799999999999913 y[1] (closed_form) = 0.3447229086730203 y[1] (numeric) = 0.3447229086730693 absolute error = 4.901634653720066e-14 relative error = 1.421905690163867e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.809999999999911 y[1] (closed_form) = 0.3511524213936607 y[1] (numeric) = 0.3511524213937105 absolute error = 4.979350265443827e-14 relative error = 1.418002543078496e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.81999999999991 y[1] (closed_form) = 0.3575856795953394 y[1] (numeric) = 0.3575856795953898 absolute error = 5.040412531798211e-14 relative error = 1.409567781769722e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.829999999999909 y[1] (closed_form) = 0.3640219432461312 y[1] (numeric) = 0.3640219432461824 absolute error = 5.118128143521972e-14 relative error = 1.405994401843347e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.839999999999908 y[1] (closed_form) = 0.3704604681372293 y[1] (numeric) = 0.3704604681372812 absolute error = 5.195843755245733e-14 relative error = 1.402536627287595e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.849999999999907 y[1] (closed_form) = 0.3769005059674237 y[1] (numeric) = 0.3769005059674763 absolute error = 5.25135490647699e-14 relative error = 1.393300041611214e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.859999999999906 y[1] (closed_form) = 0.3833413044283762 y[1] (numeric) = 0.3833413044284295 absolute error = 5.323519403077626e-14 relative error = 1.38871531493739e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.869999999999905 y[1] (closed_form) = 0.3897821072906814 y[1] (numeric) = 0.3897821072907353 absolute error = 5.390132784555135e-14 relative error = 1.382857931068504e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.879999999999904 y[1] (closed_form) = 0.3962221544907044 y[1] (numeric) = 0.3962221544907591 absolute error = 5.467848396278896e-14 relative error = 1.379995624754288e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.889999999999903 y[1] (closed_form) = 0.4026606822181857 y[1] (numeric) = 0.4026606822182411 absolute error = 5.540012892879531e-14 relative error = 1.375851464404369e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.899999999999902 y[1] (closed_form) = 0.4090969230046019 y[1] (numeric) = 0.4090969230046581 absolute error = 5.617728504603292e-14 relative error = 1.373202336342212e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.9099999999999 y[1] (closed_form) = 0.4155301058122745 y[1] (numeric) = 0.4155301058123315 absolute error = 5.695444116327053e-14 relative error = 1.370645360386981e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.919999999999899 y[1] (closed_form) = 0.4219594561242146 y[1] (numeric) = 0.4219594561242724 absolute error = 5.773159728050814e-14 relative error = 1.368178777430061e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.929999999999898 y[1] (closed_form) = 0.4283841960346944 y[1] (numeric) = 0.4283841960347528 absolute error = 5.845324224651449e-14 relative error = 1.364505105173871e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.939999999999897 y[1] (closed_form) = 0.4348035443405339 y[1] (numeric) = 0.4348035443405932 absolute error = 5.928590951498336e-14 relative error = 1.363510263121296e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.949999999999896 y[1] (closed_form) = 0.4412167166330953 y[1] (numeric) = 0.4412167166331551 absolute error = 5.98965321785272e-14 relative error = 1.357530889482042e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.959999999999895 y[1] (closed_form) = 0.4476229253909693 y[1] (numeric) = 0.44762292539103 absolute error = 6.06736882957648e-14 relative error = 1.355464272585465e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.969999999999894 y[1] (closed_form) = 0.4540213800733491 y[1] (numeric) = 0.4540213800734105 absolute error = 6.13398221105399e-14 relative error = 1.35103377952444e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.979999999999893 y[1] (closed_form) = 0.460411287214075 y[1] (numeric) = 0.4604112872141372 absolute error = 6.217248937900877e-14 relative error = 1.350368488036236e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.989999999999892 y[1] (closed_form) = 0.4667918505163433 y[1] (numeric) = 0.4667918505164062 absolute error = 6.289413434501512e-14 relative error = 1.347370016752533e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.999999999999891 y[1] (closed_form) = 0.4731622709480664 y[1] (numeric) = 0.4731622709481299 absolute error = 6.350475700855895e-14 relative error = 1.342134842689711e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.00999999999989 y[1] (closed_form) = 0.479521746837873 y[1] (numeric) = 0.4795217468379372 absolute error = 6.422640197456531e-14 relative error = 1.339384551338823e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.019999999999889 y[1] (closed_form) = 0.4858694739717383 y[1] (numeric) = 0.4858694739718032 absolute error = 6.48925357893404e-14 relative error = 1.335596065726801e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.029999999999887 y[1] (closed_form) = 0.4922046456902313 y[1] (numeric) = 0.4922046456902969 absolute error = 6.561418075534675e-14 relative error = 1.333067075450584e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.039999999999886 y[1] (closed_form) = 0.4985264529863698 y[1] (numeric) = 0.498526452986436 absolute error = 6.622480341889059e-14 relative error = 1.328411020562258e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.049999999999885 y[1] (closed_form) = 0.504834084604069 y[1] (numeric) = 0.5048340846041358 absolute error = 6.683542608243442e-14 relative error = 1.323908747858261e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.059999999999884 y[1] (closed_form) = 0.5111267271371748 y[1] (numeric) = 0.5111267271372423 absolute error = 6.750155989720952e-14 relative error = 1.320642343930757e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.069999999999883 y[1] (closed_form) = 0.5174035651290684 y[1] (numeric) = 0.5174035651291368 absolute error = 6.838973831690964e-14 relative error = 1.321787148873811e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.079999999999882 y[1] (closed_form) = 0.5236637811728309 y[1] (numeric) = 0.5236637811728999 absolute error = 6.905587213168474e-14 relative error = 1.318706288546876e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.089999999999881 y[1] (closed_form) = 0.5299065560119556 y[1] (numeric) = 0.5299065560120252 absolute error = 6.961098364399732e-14 relative error = 1.313646393958311e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.09999999999988 y[1] (closed_form) = 0.5361310686415974 y[1] (numeric) = 0.5361310686416678 absolute error = 7.038813976123492e-14 relative error = 1.312890520215109e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.109999999999879 y[1] (closed_form) = 0.5423364964103454 y[1] (numeric) = 0.5423364964104164 absolute error = 7.09432512735475e-14 relative error = 1.308103949173836e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.119999999999878 y[1] (closed_form) = 0.5485220151225078 y[1] (numeric) = 0.5485220151225793 absolute error = 7.149836278586008e-14 relative error = 1.303472984031307e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.129999999999876 y[1] (closed_form) = 0.5546867991408959 y[1] (numeric) = 0.5546867991409681 absolute error = 7.216449660063518e-14 relative error = 1.300995385367098e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.139999999999875 y[1] (closed_form) = 0.560830021490097 y[1] (numeric) = 0.56083002149017 absolute error = 7.30526750203353e-14 relative error = 1.302581392241415e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.149999999999874 y[1] (closed_form) = 0.5669508539602206 y[1] (numeric) = 0.5669508539602942 absolute error = 7.360778653264788e-14 relative error = 1.298309827359612e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.159999999999873 y[1] (closed_form) = 0.5730484672111078 y[1] (numeric) = 0.5730484672111821 absolute error = 7.427392034742297e-14 relative error = 1.296119344126278e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.169999999999872 y[1] (closed_form) = 0.5791220308769911 y[1] (numeric) = 0.5791220308770659 absolute error = 7.482903185973555e-14 relative error = 1.292111642625968e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.179999999999871 y[1] (closed_form) = 0.5851707136715903 y[1] (numeric) = 0.5851707136716658 absolute error = 7.549516567451064e-14 relative error = 1.290139166412215e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.18999999999987 y[1] (closed_form) = 0.5911936834936348 y[1] (numeric) = 0.5911936834937109 absolute error = 7.616129948928574e-14 relative error = 1.288263078847759e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.199999999999869 y[1] (closed_form) = 0.5971901075327952 y[1] (numeric) = 0.5971901075328724 absolute error = 7.716050021144838e-14 relative error = 1.292059249444467e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.209999999999868 y[1] (closed_form) = 0.6031591523760174 y[1] (numeric) = 0.6031591523760951 absolute error = 7.771561172376096e-14 relative error = 1.28847604181445e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.219999999999867 y[1] (closed_form) = 0.6090999841142378 y[1] (numeric) = 0.6090999841143161 absolute error = 7.827072323607354e-14 relative error = 1.285022578844686e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.229999999999865 y[1] (closed_form) = 0.6150117684494769 y[1] (numeric) = 0.6150117684495559 absolute error = 7.893685705084863e-14 relative error = 1.283501570219681e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239999999999864 y[1] (closed_form) = 0.6208936708022887 y[1] (numeric) = 0.6208936708023685 absolute error = 7.971401316808624e-14 relative error = 1.283859329167966e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.249999999999863 y[1] (closed_form) = 0.6267448564195588 y[1] (numeric) = 0.6267448564196391 absolute error = 8.026912468039882e-14 relative error = 1.280730489580032e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.259999999999862 y[1] (closed_form) = 0.6325644904826351 y[1] (numeric) = 0.6325644904827159 absolute error = 8.08242361927114e-14 relative error = 1.277723258399219e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.269999999999861 y[1] (closed_form) = 0.63835173821578 y[1] (numeric) = 0.6383517382158616 absolute error = 8.160139230994901e-14 relative error = 1.278313936107205e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.27999999999986 y[1] (closed_form) = 0.6441057649949286 y[1] (numeric) = 0.6441057649950107 absolute error = 8.215650382226158e-14 relative error = 1.275512629869234e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.289999999999859 y[1] (closed_form) = 0.6498257364567399 y[1] (numeric) = 0.6498257364568227 absolute error = 8.282263763703668e-14 relative error = 1.274536125464005e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299999999999858 y[1] (closed_form) = 0.6555108186079298 y[1] (numeric) = 0.6555108186080133 absolute error = 8.348877145181177e-14 relative error = 1.273644447686035e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.309999999999857 y[1] (closed_form) = 0.6611601779348688 y[1] (numeric) = 0.6611601779349529 absolute error = 8.404388296412435e-14 relative error = 1.271157667520677e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.319999999999856 y[1] (closed_form) = 0.666772981513434 y[1] (numeric) = 0.6667729815135187 absolute error = 8.471001677889944e-14 relative error = 1.270447650512556e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.329999999999854 y[1] (closed_form) = 0.6723483971190996 y[1] (numeric) = 0.6723483971191849 absolute error = 8.537615059367454e-14 relative error = 1.269820095645309e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.339999999999853 y[1] (closed_form) = 0.6778855933372532 y[1] (numeric) = 0.677885593337339 absolute error = 8.58202398035246e-14 relative error = 1.265998874249985e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.349999999999852 y[1] (closed_form) = 0.6833837396737245 y[1] (numeric) = 0.6833837396738109 absolute error = 8.648637361829969e-14 relative error = 1.265560893497288e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.359999999999851 y[1] (closed_form) = 0.6888420066655113 y[1] (numeric) = 0.6888420066655982 absolute error = 8.693046282814976e-14 relative error = 1.261979699074327e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.36999999999985 y[1] (closed_form) = 0.6942595659916908 y[1] (numeric) = 0.6942595659917783 absolute error = 8.748557434046234e-14 relative error = 1.260127747977035e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.379999999999849 y[1] (closed_form) = 0.6996355905844996 y[1] (numeric) = 0.6996355905845878 absolute error = 8.815170815523743e-14 relative error = 1.259966035770028e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.389999999999848 y[1] (closed_form) = 0.7049692547405725 y[1] (numeric) = 0.7049692547406612 absolute error = 8.870681966755001e-14 relative error = 1.258307636411661e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.399999999999847 y[1] (closed_form) = 0.7102597342323209 y[1] (numeric) = 0.7102597342324103 absolute error = 8.93729534823251e-14 relative error = 1.258313672799194e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.409999999999846 y[1] (closed_form) = 0.7155062064194427 y[1] (numeric) = 0.7155062064195329 absolute error = 9.015010959956271e-14 relative error = 1.259948673970203e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.419999999999844 y[1] (closed_form) = 0.7207078503605445 y[1] (numeric) = 0.720707850360635 absolute error = 9.048317650695026e-14 relative error = 1.255476493862038e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.429999999999843 y[1] (closed_form) = 0.7258638469248639 y[1] (numeric) = 0.7258638469249549 absolute error = 9.092726571680032e-14 relative error = 1.252676601845035e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.439999999999842 y[1] (closed_form) = 0.7309733789040799 y[1] (numeric) = 0.7309733789041715 absolute error = 9.159339953157541e-14 relative error = 1.253033313865655e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.449999999999841 y[1] (closed_form) = 0.7360356311241936 y[1] (numeric) = 0.7360356311242858 absolute error = 9.225953334635051e-14 relative error = 1.253465585700474e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.45999999999984 y[1] (closed_form) = 0.7410497905574668 y[1] (numeric) = 0.7410497905575595 absolute error = 9.270362255620057e-14 relative error = 1.250976975332019e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.469999999999839 y[1] (closed_form) = 0.7460150464344051 y[1] (numeric) = 0.7460150464344985 absolute error = 9.336975637097567e-14 relative error = 1.251580069560774e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.479999999999838 y[1] (closed_form) = 0.7509305903557698 y[1] (numeric) = 0.7509305903558635 absolute error = 9.370282327836321e-14 relative error = 1.247822694690989e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.489999999999837 y[1] (closed_form) = 0.7557956164046038 y[1] (numeric) = 0.7557956164046979 absolute error = 9.414691248821327e-14 relative error = 1.245666294494796e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.499999999999836 y[1] (closed_form) = 0.7606093212582596 y[1] (numeric) = 0.7606093212583542 absolute error = 9.459100169806334e-14 relative error = 1.243621384255237e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.509999999999835 y[1] (closed_form) = 0.7653709043004133 y[1] (numeric) = 0.7653709043005084 absolute error = 9.50350909079134e-14 relative error = 1.241686747875269e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.519999999999833 y[1] (closed_form) = 0.77007956773305 y[1] (numeric) = 0.7700795677331453 absolute error = 9.536815781530095e-14 relative error = 1.23841953236137e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.529999999999832 y[1] (closed_form) = 0.7747345166884065 y[1] (numeric) = 0.7747345166885025 absolute error = 9.592326932761353e-14 relative error = 1.238143741647609e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.539999999999831 y[1] (closed_form) = 0.7793349593408591 y[1] (numeric) = 0.7793349593409553 absolute error = 9.625633623500107e-14 relative error = 1.235108666450843e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.54999999999983 y[1] (closed_form) = 0.7838801070187367 y[1] (numeric) = 0.7838801070188336 absolute error = 9.692247004977617e-14 relative error = 1.236445078551527e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.559999999999829 y[1] (closed_form) = 0.7883691743160521 y[1] (numeric) = 0.7883691743161495 absolute error = 9.736655925962623e-14 relative error = 1.235037624905824e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.569999999999828 y[1] (closed_form) = 0.79280137920413 y[1] (numeric) = 0.7928013792042279 absolute error = 9.792167077193881e-14 relative error = 1.235134970000172e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.579999999999827 y[1] (closed_form) = 0.7971759431431218 y[1] (numeric) = 0.7971759431432202 absolute error = 9.836575998178887e-14 relative error = 1.233927852789314e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.589999999999826 y[1] (closed_form) = 0.8014920911933912 y[1] (numeric) = 0.8014920911934901 absolute error = 9.892087149410145e-14 relative error = 1.23420895328876e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.599999999999825 y[1] (closed_form) = 0.8057490521267554 y[1] (numeric) = 0.805749052126855 absolute error = 9.958700530887654e-14 relative error = 1.235955599898244e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.609999999999824 y[1] (closed_form) = 0.8099460585375693 y[1] (numeric) = 0.8099460585376694 absolute error = 1.001421168211891e-13 relative error = 1.236404767522479e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.619999999999822 y[1] (closed_form) = 0.814082346953636 y[1] (numeric) = 0.8140823469537366 absolute error = 1.005862060310392e-13 relative error = 1.235577781626652e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629999999999821 y[1] (closed_form) = 0.8181571579469308 y[1] (numeric) = 0.8181571579470318 absolute error = 1.010302952408892e-13 relative error = 1.234851938402799e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.63999999999982 y[1] (closed_form) = 0.8221697362441232 y[1] (numeric) = 0.8221697362442245 absolute error = 1.013633621482768e-13 relative error = 1.232876347545094e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.649999999999819 y[1] (closed_form) = 0.826119330836883 y[1] (numeric) = 0.8261193308369847 absolute error = 1.016964290556643e-13 relative error = 1.231013792555161e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.659999999999818 y[1] (closed_form) = 0.8300051950919558 y[1] (numeric) = 0.8300051950920579 absolute error = 1.021405182655144e-13 relative error = 1.230600951289206e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.669999999999817 y[1] (closed_form) = 0.8338265868609928 y[1] (numeric) = 0.8338265868610955 absolute error = 1.02695629777827e-13 relative error = 1.231618557096301e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.679999999999816 y[1] (closed_form) = 0.8375827685901212 y[1] (numeric) = 0.837582768590224 absolute error = 1.028066520802895e-13 relative error = 1.227420810642284e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.689999999999815 y[1] (closed_form) = 0.8412730074292405 y[1] (numeric) = 0.8412730074293436 absolute error = 1.03139718987677e-13 relative error = 1.225995819155676e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.699999999999814 y[1] (closed_form) = 0.8448965753410305 y[1] (numeric) = 0.8448965753411339 absolute error = 1.034727858950646e-13 relative error = 1.224679906570805e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.709999999999813 y[1] (closed_form) = 0.8484527492096554 y[1] (numeric) = 0.8484527492097594 absolute error = 1.040278974073772e-13 relative error = 1.226089461131224e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.719999999999811 y[1] (closed_form) = 0.8519408109491509 y[1] (numeric) = 0.8519408109492556 absolute error = 1.046940312221523e-13 relative error = 1.228888555127582e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.72999999999981 y[1] (closed_form) = 0.8553600476114787 y[1] (numeric) = 0.8553600476115836 absolute error = 1.049160758270773e-13 relative error = 1.226572086457003e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.739999999999809 y[1] (closed_form) = 0.8587097514942348 y[1] (numeric) = 0.8587097514943401 absolute error = 1.053601650369274e-13 relative error = 1.226958991132811e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.749999999999808 y[1] (closed_form) = 0.8619892202479982 y[1] (numeric) = 0.8619892202481039 absolute error = 1.056932319443149e-13 relative error = 1.226154915416535e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.759999999999807 y[1] (closed_form) = 0.8651977569833014 y[1] (numeric) = 0.8651977569834075 absolute error = 1.06137321154165e-13 relative error = 1.226740595401399e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.769999999999806 y[1] (closed_form) = 0.8683346703772141 y[1] (numeric) = 0.8683346703773208 absolute error = 1.066924326664775e-13 relative error = 1.228701747220679e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.779999999999805 y[1] (closed_form) = 0.8713992747795219 y[1] (numeric) = 0.8713992747796289 absolute error = 1.069144772714026e-13 relative error = 1.22692869234317e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.789999999999804 y[1] (closed_form) = 0.8743908903184858 y[1] (numeric) = 0.8743908903185931 absolute error = 1.072475441787901e-13 relative error = 1.226540044804522e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.799999999999803 y[1] (closed_form) = 0.8773088430061702 y[1] (numeric) = 0.877308843006278 absolute error = 1.078026556911027e-13 relative error = 1.228787975300786e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.809999999999802 y[1] (closed_form) = 0.8801524648433243 y[1] (numeric) = 0.8801524648434322 absolute error = 1.079136779935652e-13 relative error = 1.226079370382436e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.8199999999998 y[1] (closed_form) = 0.8829210939238008 y[1] (numeric) = 0.8829210939239092 absolute error = 1.083577672034153e-13 relative error = 1.22726445147959e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.829999999999799 y[1] (closed_form) = 0.8856140745385012 y[1] (numeric) = 0.8856140745386101 absolute error = 1.089128787157279e-13 relative error = 1.229800675564952e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.839999999999798 y[1] (closed_form) = 0.8882307572788302 y[1] (numeric) = 0.8882307572789395 absolute error = 1.093569679255779e-13 relative error = 1.231177450560282e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.849999999999797 y[1] (closed_form) = 0.8907704991396468 y[1] (numeric) = 0.8907704991397564 absolute error = 1.09579012530503e-13 relative error = 1.230159874359783e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.859999999999796 y[1] (closed_form) = 0.8932326636216983 y[1] (numeric) = 0.8932326636218082 absolute error = 1.099120794378905e-13 relative error = 1.23049776294836e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.869999999999795 y[1] (closed_form) = 0.8956166208335222 y[1] (numeric) = 0.8956166208336321 absolute error = 1.099120794378905e-13 relative error = 1.227222417283846e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.879999999999794 y[1] (closed_form) = 0.8979217475928014 y[1] (numeric) = 0.8979217475929117 absolute error = 1.10245146345278e-13 relative error = 1.227781225266337e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.889999999999793 y[1] (closed_form) = 0.9001474275271615 y[1] (numeric) = 0.9001474275272719 absolute error = 1.104671909502031e-13 relative error = 1.227212205157024e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899999999999792 y[1] (closed_form) = 0.9022930511743923 y[1] (numeric) = 0.9022930511745031 absolute error = 1.108002578575906e-13 relative error = 1.22798527278224e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.909999999999791 y[1] (closed_form) = 0.904358016082084 y[1] (numeric) = 0.904358016082195 absolute error = 1.110223024625157e-13 relative error = 1.22763662717884e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.919999999999789 y[1] (closed_form) = 0.9063417269066596 y[1] (numeric) = 0.9063417269067707 absolute error = 1.111333247649782e-13 relative error = 1.226174647660499e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.929999999999788 y[1] (closed_form) = 0.9082435955117941 y[1] (numeric) = 0.9082435955119055 absolute error = 1.113553693699032e-13 relative error = 1.226051798440204e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.939999999999787 y[1] (closed_form) = 0.9100630410662039 y[1] (numeric) = 0.9100630410663153 absolute error = 1.113553693699032e-13 relative error = 1.22360061166139e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.949999999999786 y[1] (closed_form) = 0.9117994901407933 y[1] (numeric) = 0.9117994901409051 absolute error = 1.117994585797533e-13 relative error = 1.226140832371929e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.959999999999785 y[1] (closed_form) = 0.9134523768051457 y[1] (numeric) = 0.9134523768052579 absolute error = 1.122435477896033e-13 relative error = 1.228783794752189e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.969999999999784 y[1] (closed_form) = 0.9150211427233442 y[1] (numeric) = 0.9150211427234567 absolute error = 1.124655923945284e-13 relative error = 1.22910375666076e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.979999999999783 y[1] (closed_form) = 0.9165052372491095 y[1] (numeric) = 0.9165052372492223 absolute error = 1.127986593019159e-13 relative error = 1.230747569326293e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.989999999999782 y[1] (closed_form) = 0.9179041175202408 y[1] (numeric) = 0.9179041175203535 absolute error = 1.126876369994534e-13 relative error = 1.227662397940692e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.999999999999781 y[1] (closed_form) = 0.9192172485523467 y[1] (numeric) = 0.9192172485524593 absolute error = 1.126876369994534e-13 relative error = 1.225908643217068e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.00999999999978 y[1] (closed_form) = 0.9204441033318516 y[1] (numeric) = 0.9204441033319648 absolute error = 1.13242748511766e-13 relative error = 1.23030554600596e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.019999999999778 y[1] (closed_form) = 0.9215841629082688 y[1] (numeric) = 0.9215841629083821 absolute error = 1.13242748511766e-13 relative error = 1.228783577990345e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.029999999999777 y[1] (closed_form) = 0.9226369164857189 y[1] (numeric) = 0.9226369164858323 absolute error = 1.13464793116691e-13 relative error = 1.229788133222255e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.039999999999776 y[1] (closed_form) = 0.9236018615136889 y[1] (numeric) = 0.9236018615138025 absolute error = 1.135758154191535e-13 relative error = 1.229705354134025e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.049999999999775 y[1] (closed_form) = 0.9244785037770145 y[1] (numeric) = 0.9244785037771281 absolute error = 1.13686837721616e-13 relative error = 1.229740196847643e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.059999999999774 y[1] (closed_form) = 0.9252663574850715 y[1] (numeric) = 0.9252663574851854 absolute error = 1.139088823265411e-13 relative error = 1.231092878337781e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.069999999999773 y[1] (closed_form) = 0.9259649453601689 y[1] (numeric) = 0.9259649453602825 absolute error = 1.135758154191535e-13 relative error = 1.226567117775462e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.079999999999772 y[1] (closed_form) = 0.9265737987251232 y[1] (numeric) = 0.9265737987252369 absolute error = 1.13686837721616e-13 relative error = 1.226959340724271e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.089999999999771 y[1] (closed_form) = 0.927092457590009 y[1] (numeric) = 0.9270924575901226 absolute error = 1.135758154191535e-13 relative error = 1.225075390154673e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.09999999999977 y[1] (closed_form) = 0.9275204707380664 y[1] (numeric) = 0.9275204707381801 absolute error = 1.13686837721616e-13 relative error = 1.225707046995423e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.109999999999769 y[1] (closed_form) = 0.9278573958107583 y[1] (numeric) = 0.9278573958108718 absolute error = 1.13464793116691e-13 relative error = 1.22286887649956e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.119999999999767 y[1] (closed_form) = 0.9281027993919605 y[1] (numeric) = 0.9281027993920737 absolute error = 1.13242748511766e-13 relative error = 1.220153075564001e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.129999999999766 y[1] (closed_form) = 0.9282562570912749 y[1] (numeric) = 0.9282562570913884 absolute error = 1.13464793116691e-13 relative error = 1.222343423487789e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.139999999999765 y[1] (closed_form) = 0.9283173536264537 y[1] (numeric) = 0.9283173536265672 absolute error = 1.13464793116691e-13 relative error = 1.22226297583949e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.149999999999764 y[1] (closed_form) = 0.9282856829049202 y[1] (numeric) = 0.9282856829050335 absolute error = 1.133537708142285e-13 relative error = 1.221108683476687e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.159999999999763 y[1] (closed_form) = 0.928160848104375 y[1] (numeric) = 0.9281608481044883 absolute error = 1.13242748511766e-13 relative error = 1.220076765175419e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.169999999999762 y[1] (closed_form) = 0.9279424617524779 y[1] (numeric) = 0.9279424617525911 absolute error = 1.13242748511766e-13 relative error = 1.220363903790973e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.179999999999761 y[1] (closed_form) = 0.9276301458055884 y[1] (numeric) = 0.9276301458057015 absolute error = 1.130207039068409e-13 relative error = 1.218381101755696e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.18999999999976 y[1] (closed_form) = 0.9272235317265591 y[1] (numeric) = 0.9272235317266723 absolute error = 1.131317262093035e-13 relative error = 1.220112759634603e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.199999999999759 y[1] (closed_form) = 0.9267222605615653 y[1] (numeric) = 0.9267222605616783 absolute error = 1.130207039068409e-13 relative error = 1.219574717438576e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.209999999999757 y[1] (closed_form) = 0.9261259830159598 y[1] (numeric) = 0.9261259830160727 absolute error = 1.129096816043784e-13 relative error = 1.219161147349352e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.219999999999756 y[1] (closed_form) = 0.9254343595291462 y[1] (numeric) = 0.9254343595292592 absolute error = 1.130207039068409e-13 relative error = 1.221271965354139e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.229999999999755 y[1] (closed_form) = 0.9246470603484516 y[1] (numeric) = 0.9246470603485646 absolute error = 1.130207039068409e-13 relative error = 1.222311828518108e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.239999999999754 y[1] (closed_form) = 0.9237637656019924 y[1] (numeric) = 0.9237637656021055 absolute error = 1.131317262093035e-13 relative error = 1.224682439623279e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.249999999999753 y[1] (closed_form) = 0.9227841653705225 y[1] (numeric) = 0.9227841653706356 absolute error = 1.130207039068409e-13 relative error = 1.224779402900353e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.259999999999752 y[1] (closed_form) = 0.9217079597582487 y[1] (numeric) = 0.9217079597583614 absolute error = 1.126876369994534e-13 relative error = 1.222595897175606e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.269999999999751 y[1] (closed_form) = 0.9205348589626041 y[1] (numeric) = 0.9205348589627167 absolute error = 1.125766146969909e-13 relative error = 1.222947872108385e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.27999999999975 y[1] (closed_form) = 0.9192645833429718 y[1] (numeric) = 0.9192645833430845 absolute error = 1.126876369994534e-13 relative error = 1.225845518704274e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.289999999999749 y[1] (closed_form) = 0.9178968634883427 y[1] (numeric) = 0.9178968634884549 absolute error = 1.122435477896033e-13 relative error = 1.222833983363195e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.299999999999748 y[1] (closed_form) = 0.916431440283899 y[1] (numeric) = 0.916431440284011 absolute error = 1.120215031846783e-13 relative error = 1.222366434198017e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.309999999999746 y[1] (closed_form) = 0.9148680649765146 y[1] (numeric) = 0.9148680649766266 absolute error = 1.120215031846783e-13 relative error = 1.224455279106873e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.319999999999745 y[1] (closed_form) = 0.9132064992391594 y[1] (numeric) = 0.9132064992392714 absolute error = 1.120215031846783e-13 relative error = 1.22668315740207e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.329999999999744 y[1] (closed_form) = 0.9114465152341975 y[1] (numeric) = 0.9114465152343092 absolute error = 1.116884362772907e-13 relative error = 1.225397589551289e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.339999999999743 y[1] (closed_form) = 0.9095878956755692 y[1] (numeric) = 0.9095878956756807 absolute error = 1.114663916723657e-13 relative error = 1.225460367297186e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.349999999999742 y[1] (closed_form) = 0.9076304338898479 y[1] (numeric) = 0.9076304338899595 absolute error = 1.115774139748282e-13 relative error = 1.229326494668529e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.359999999999741 y[1] (closed_form) = 0.905573933876161 y[1] (numeric) = 0.9055739338762722 absolute error = 1.111333247649782e-13 relative error = 1.22721426277466e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.36999999999974 y[1] (closed_form) = 0.9034182103649628 y[1] (numeric) = 0.9034182103650736 absolute error = 1.108002578575906e-13 relative error = 1.226455882628595e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.379999999999739 y[1] (closed_form) = 0.9011630888756534 y[1] (numeric) = 0.9011630888757639 absolute error = 1.104671909502031e-13 relative error = 1.225829068165994e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.389999999999738 y[1] (closed_form) = 0.8988084057730314 y[1] (numeric) = 0.8988084057731418 absolute error = 1.103561686477406e-13 relative error = 1.227805257927326e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.399999999999737 y[1] (closed_form) = 0.8963540083225714 y[1] (numeric) = 0.8963540083226816 absolute error = 1.10245146345278e-13 relative error = 1.22992863669556e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.409999999999735 y[1] (closed_form) = 0.8937997547445174 y[1] (numeric) = 0.8937997547446271 absolute error = 1.096900348329655e-13 relative error = 1.22723276942853e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.419999999999734 y[1] (closed_form) = 0.8911455142667811 y[1] (numeric) = 0.8911455142668906 absolute error = 1.094679902280404e-13 relative error = 1.228396355875828e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.429999999999733 y[1] (closed_form) = 0.8883911671766397 y[1] (numeric) = 0.8883911671767488 absolute error = 1.091349233206529e-13 relative error = 1.228455745091323e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.439999999999732 y[1] (closed_form) = 0.8855366048712188 y[1] (numeric) = 0.8855366048713276 absolute error = 1.088018564132653e-13 relative error = 1.228654533474515e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.449999999999731 y[1] (closed_form) = 0.8825817299067567 y[1] (numeric) = 0.8825817299068655 absolute error = 1.088018564132653e-13 relative error = 1.232768056786765e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.45999999999973 y[1] (closed_form) = 0.879526456046638 y[1] (numeric) = 0.8795264560467465 absolute error = 1.084687895058778e-13 relative error = 1.233263522207524e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.469999999999729 y[1] (closed_form) = 0.8763707083081886 y[1] (numeric) = 0.876370708308297 absolute error = 1.083577672034153e-13 relative error = 1.236437573462459e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.479999999999728 y[1] (closed_form) = 0.8731144230082252 y[1] (numeric) = 0.873114423008333 absolute error = 1.078026556911027e-13 relative error = 1.234691042208189e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.489999999999727 y[1] (closed_form) = 0.869757547807347 y[1] (numeric) = 0.8697575478074545 absolute error = 1.074695887837152e-13 relative error = 1.235626975065008e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.499999999999726 y[1] (closed_form) = 0.8663000417529685 y[1] (numeric) = 0.8663000417530757 absolute error = 1.072475441787901e-13 relative error = 1.237995371231582e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.509999999999724 y[1] (closed_form) = 0.862741875321076 y[1] (numeric) = 0.8627418753211825 absolute error = 1.064703880615525e-13 relative error = 1.234093198755755e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.519999999999723 y[1] (closed_form) = 0.859083030456707 y[1] (numeric) = 0.8590830304568131 absolute error = 1.06137321154165e-13 relative error = 1.235472211547935e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.529999999999722 y[1] (closed_form) = 0.8553235006131434 y[1] (numeric) = 0.8553235006132491 absolute error = 1.056932319443149e-13 relative error = 1.23571060386565e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.539999999999721 y[1] (closed_form) = 0.8514632907898081 y[1] (numeric) = 0.8514632907899132 absolute error = 1.051381204320023e-13 relative error = 1.234793344226001e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.54999999999972 y[1] (closed_form) = 0.847502417568859 y[1] (numeric) = 0.8475024175689638 absolute error = 1.048050535246148e-13 relative error = 1.236634272091612e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.559999999999719 y[1] (closed_form) = 0.8434409091504755 y[1] (numeric) = 0.8434409091505797 absolute error = 1.041389197098397e-13 relative error = 1.234691352767436e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.569999999999718 y[1] (closed_form) = 0.8392788053868254 y[1] (numeric) = 0.8392788053869289 absolute error = 1.034727858950646e-13 relative error = 1.23287738509462e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.579999999999717 y[1] (closed_form) = 0.8350161578147094 y[1] (numeric) = 0.8350161578148125 absolute error = 1.03139718987677e-13 relative error = 1.235182313808158e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.589999999999716 y[1] (closed_form) = 0.8306530296868746 y[1] (numeric) = 0.8306530296869771 absolute error = 1.024735851729019e-13 relative error = 1.233650892858727e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.599999999999715 y[1] (closed_form) = 0.8261894960019884 y[1] (numeric) = 0.8261894960020906 absolute error = 1.021405182655144e-13 relative error = 1.236284396736854e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.609999999999713 y[1] (closed_form) = 0.8216256435332714 y[1] (numeric) = 0.8216256435333732 absolute error = 1.018074513581269e-13 relative error = 1.23909778327171e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.619999999999712 y[1] (closed_form) = 0.8169615708557761 y[1] (numeric) = 0.8169615708558774 absolute error = 1.012523398458143e-13 relative error = 1.239377021611327e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.629999999999711 y[1] (closed_form) = 0.8121973883723104 y[1] (numeric) = 0.8121973883724111 absolute error = 1.006972283335017e-13 relative error = 1.239812264544517e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.63999999999971 y[1] (closed_form) = 0.8073332183379964 y[1] (numeric) = 0.8073332183380967 absolute error = 1.002531391236516e-13 relative error = 1.241781421183637e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.649999999999709 y[1] (closed_form) = 0.802369194883462 y[1] (numeric) = 0.8023691948835618 absolute error = 9.980904991380157e-14 relative error = 1.243929235447506e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.659999999999708 y[1] (closed_form) = 0.7973054640366545 y[1] (numeric) = 0.797305464036754 absolute error = 9.947598300641403e-14 relative error = 1.247652091869282e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.669999999999707 y[1] (closed_form) = 0.7921421837432758 y[1] (numeric) = 0.7921421837433746 absolute error = 9.880984919163893e-14 relative error = 1.247375171016799e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.679999999999706 y[1] (closed_form) = 0.786879523885829 y[1] (numeric) = 0.7868795238859272 absolute error = 9.814371537686384e-14 relative error = 1.247252119259668e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.689999999999705 y[1] (closed_form) = 0.7815176663012745 y[1] (numeric) = 0.7815176663013723 absolute error = 9.781064846947629e-14 relative error = 1.251547504132432e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.699999999999704 y[1] (closed_form) = 0.7760568047972891 y[1] (numeric) = 0.7760568047973864 absolute error = 9.725553695716371e-14 relative error = 1.253201265113157e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.709999999999702 y[1] (closed_form) = 0.770497145167122 y[1] (numeric) = 0.7704971451672185 absolute error = 9.64783808399261e-14 relative error = 1.252157538091849e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.719999999999701 y[1] (closed_form) = 0.764838905203044 y[1] (numeric) = 0.7648389052031397 absolute error = 9.570122472268849e-14 relative error = 1.251259893706406e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.7299999999997 y[1] (closed_form) = 0.7590823147083854 y[1] (numeric) = 0.7590823147084804 absolute error = 9.50350909079134e-14 relative error = 1.25197345619128e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.739999999999699 y[1] (closed_form) = 0.7532276155081571 y[1] (numeric) = 0.7532276155082516 absolute error = 9.447997939560082e-14 relative error = 1.254335043622384e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.749999999999698 y[1] (closed_form) = 0.7472750614582513 y[1] (numeric) = 0.7472750614583452 absolute error = 9.392486788328824e-14 relative error = 1.256898198904175e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.759999999999697 y[1] (closed_form) = 0.741224918453216 y[1] (numeric) = 0.7412249184533094 absolute error = 9.336975637097567e-14 relative error = 1.259668341504481e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.769999999999696 y[1] (closed_form) = 0.7350774644326021 y[1] (numeric) = 0.7350774644326946 absolute error = 9.248157795127554e-14 relative error = 1.258120163194787e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.779999999999695 y[1] (closed_form) = 0.7288329893858749 y[1] (numeric) = 0.7288329893859669 absolute error = 9.192646643896296e-14 relative error = 1.261283006912482e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.789999999999694 y[1] (closed_form) = 0.722491795355892 y[1] (numeric) = 0.7224917953559834 absolute error = 9.137135492665038e-14 relative error = 1.264669792985563e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.799999999999693 y[1] (closed_form) = 0.7160541964409373 y[1] (numeric) = 0.7160541964410279 absolute error = 9.059419880941277e-14 relative error = 1.26518634008013e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.809999999999691 y[1] (closed_form) = 0.7095205187953141 y[1] (numeric) = 0.7095205187954038 absolute error = 8.970602038971265e-14 relative error = 1.264318902884209e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.81999999999969 y[1] (closed_form) = 0.7028911006284881 y[1] (numeric) = 0.7028911006285772 absolute error = 8.903988657493755e-14 relative error = 1.26676645209084e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.829999999999689 y[1] (closed_form) = 0.6961662922027843 y[1] (numeric) = 0.6961662922028723 absolute error = 8.804068585277491e-14 relative error = 1.264650225655134e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.839999999999688 y[1] (closed_form) = 0.6893464558296249 y[1] (numeric) = 0.6893464558297123 absolute error = 8.737455203799982e-14 relative error = 1.26749838632078e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.849999999999687 y[1] (closed_form) = 0.682431965864318 y[1] (numeric) = 0.6824319658644046 absolute error = 8.659739592076221e-14 relative error = 1.268952807787723e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.859999999999686 y[1] (closed_form) = 0.6754232086993812 y[1] (numeric) = 0.6754232086994671 absolute error = 8.593126210598712e-14 relative error = 1.272258059823846e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.869999999999685 y[1] (closed_form) = 0.6683205827564098 y[1] (numeric) = 0.668320582756495 absolute error = 8.515410598874951e-14 relative error = 1.274150582607248e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.879999999999684 y[1] (closed_form) = 0.6611244984764788 y[1] (numeric) = 0.6611244984765632 absolute error = 8.43769498715119e-14 relative error = 1.27626415396727e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.889999999999683 y[1] (closed_form) = 0.6538353783090801 y[1] (numeric) = 0.6538353783091635 absolute error = 8.337774914934926e-14 relative error = 1.275210120397233e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.899999999999681 y[1] (closed_form) = 0.6464536566995932 y[1] (numeric) = 0.6464536566996759 absolute error = 8.271161533457416e-14 relative error = 1.279467050381466e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.90999999999968 y[1] (closed_form) = 0.638979780075287 y[1] (numeric) = 0.6389797800753692 absolute error = 8.215650382226158e-14 relative error = 1.285744970092506e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.919999999999679 y[1] (closed_form) = 0.6314142068298511 y[1] (numeric) = 0.6314142068299323 absolute error = 8.126832540256146e-14 relative error = 1.287084207537653e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.929999999999678 y[1] (closed_form) = 0.6237574073064549 y[1] (numeric) = 0.6237574073065354 absolute error = 8.049116928532385e-14 relative error = 1.290424263383187e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.939999999999677 y[1] (closed_form) = 0.616009863779335 y[1] (numeric) = 0.6160098637794145 absolute error = 7.949196856316121e-14 relative error = 1.29043337188569e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.949999999999676 y[1] (closed_form) = 0.6081720704339063 y[1] (numeric) = 0.608172070433985 absolute error = 7.87148124459236e-14 relative error = 1.294285224077517e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.959999999999675 y[1] (closed_form) = 0.6002445333454024 y[1] (numeric) = 0.6002445333454803 absolute error = 7.793765632868599e-14 relative error = 1.298431755709766e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.969999999999674 y[1] (closed_form) = 0.5922277704560356 y[1] (numeric) = 0.5922277704561124 absolute error = 7.682743330406083e-14 relative error = 1.297261579694263e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.979999999999673 y[1] (closed_form) = 0.5841223115506847 y[1] (numeric) = 0.5841223115507607 absolute error = 7.593925488436071e-14 relative error = 1.300057426033989e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.989999999999672 y[1] (closed_form) = 0.575928698231105 y[1] (numeric) = 0.5759286982311799 absolute error = 7.482903185973555e-14 relative error = 1.299275970958972e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.99999999999967 y[1] (closed_form) = 0.5676474838886618 y[1] (numeric) = 0.5676474838887358 absolute error = 7.394085344003543e-14 relative error = 1.302584007481273e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.009999999999674 y[1] (closed_form) = 0.559279233675584 y[1] (numeric) = 0.5592792336756609 absolute error = 7.693845560652335e-14 relative error = 1.375671596116375e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.019999999999677 y[1] (closed_form) = 0.5508245244747572 y[1] (numeric) = 0.5508245244748369 absolute error = 7.971401316808624e-14 relative error = 1.447176180909848e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.029999999999681 y[1] (closed_form) = 0.5422839448680176 y[1] (numeric) = 0.5422839448680998 absolute error = 8.22675261247241e-14 relative error = 1.517056274729774e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.039999999999684 y[1] (closed_form) = 0.5336580951029856 y[1] (numeric) = 0.5336580951030708 absolute error = 8.526512829121202e-14 relative error = 1.5977482413109e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.049999999999687 y[1] (closed_form) = 0.5249475870584223 y[1] (numeric) = 0.5249475870585106 absolute error = 8.837375276016246e-14 relative error = 1.683477644984912e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.059999999999691 y[1] (closed_form) = 0.5161530442081118 y[1] (numeric) = 0.5161530442082033 absolute error = 9.14823772291129e-14 relative error = 1.772388601707586e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.069999999999694 y[1] (closed_form) = 0.5072751015832709 y[1] (numeric) = 0.5072751015833652 absolute error = 9.425793479067579e-14 relative error = 1.858122633980746e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.079999999999697 y[1] (closed_form) = 0.4983144057334876 y[1] (numeric) = 0.4983144057335848 absolute error = 9.720002580593246e-14 relative error = 1.950576276494758e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.089999999999701 y[1] (closed_form) = 0.4892716146861906 y[1] (numeric) = 0.4892716146862909 absolute error = 1.003086502748829e-13 relative error = 2.050162880166652e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.099999999999704 y[1] (closed_form) = 0.4801473979046504 y[1] (numeric) = 0.4801473979047539 absolute error = 1.034172747438333e-13 relative error = 2.153865150475528e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.109999999999707 y[1] (closed_form) = 0.470942436244514 y[1] (numeric) = 0.4709424362446206 absolute error = 1.065258992127838e-13 relative error = 2.261972823308608e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.119999999999711 y[1] (closed_form) = 0.4616574219088755 y[1] (numeric) = 0.4616574219089852 absolute error = 1.096900348329655e-13 relative error = 2.376005012102171e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.129999999999714 y[1] (closed_form) = 0.4522930584018849 y[1] (numeric) = 0.4522930584019977 absolute error = 1.127986593019159e-13 relative error = 2.493928597986323e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.139999999999717 y[1] (closed_form) = 0.4428500604808968 y[1] (numeric) = 0.4428500604810129 absolute error = 1.160738172245601e-13 relative error = 2.621063596525515e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.149999999999721 y[1] (closed_form) = 0.4333291541071626 y[1] (numeric) = 0.4333291541072819 absolute error = 1.192934639959731e-13 relative error = 2.752952642703373e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.159999999999724 y[1] (closed_form) = 0.4237310763950674 y[1] (numeric) = 0.4237310763951898 absolute error = 1.224575996161548e-13 relative error = 2.88998391758222e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.169999999999727 y[1] (closed_form) = 0.4140565755599158 y[1] (numeric) = 0.4140565755600416 absolute error = 1.257882686900302e-13 relative error = 3.037948824262257e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.179999999999731 y[1] (closed_form) = 0.4043064108642702 y[1] (numeric) = 0.4043064108643992 absolute error = 1.289524043102119e-13 relative error = 3.189472163811485e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.189999999999734 y[1] (closed_form) = 0.3944813525628417 y[1] (numeric) = 0.3944813525629738 absolute error = 1.321720510816249e-13 relative error = 3.350527223224566e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.199999999999737 y[1] (closed_form) = 0.384582181845941 y[1] (numeric) = 0.3845821818460766 absolute error = 1.356137424579629e-13 relative error = 3.526261716209414e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.209999999999741 y[1] (closed_form) = 0.3746096907814908 y[1] (numeric) = 0.3746096907816296 absolute error = 1.388889003806071e-13 relative error = 3.707562932791847e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.219999999999744 y[1] (closed_form) = 0.3645646822556032 y[1] (numeric) = 0.3645646822557455 absolute error = 1.422750806057138e-13 relative error = 3.902601857246337e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.229999999999747 y[1] (closed_form) = 0.3544479699117277 y[1] (numeric) = 0.3544479699118733 absolute error = 1.45550238528358e-13 relative error = 4.106392217865039e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.239999999999751 y[1] (closed_form) = 0.3442603780883712 y[1] (numeric) = 0.3442603780885202 absolute error = 1.489364187534647e-13 relative error = 4.32627244472592e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.249999999999754 y[1] (closed_form) = 0.3340027417553982 y[1] (numeric) = 0.3340027417555506 absolute error = 1.523781101298027e-13 relative error = 4.562181415905697e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.259999999999757 y[1] (closed_form) = 0.3236759064489118 y[1] (numeric) = 0.3236759064490676 absolute error = 1.558198015061407e-13 relative error = 4.814068591501263e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.269999999999761 y[1] (closed_form) = 0.3132807282047225 y[1] (numeric) = 0.3132807282048818 absolute error = 1.592614928824787e-13 relative error = 5.083667092934124e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.279999999999764 y[1] (closed_form) = 0.30281807349041 y[1] (numeric) = 0.3028180734905727 absolute error = 1.627031842588167e-13 relative error = 5.372968078933682e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.289999999999767 y[1] (closed_form) = 0.2922888191359796 y[1] (numeric) = 0.2922888191361458 absolute error = 1.662003867863859e-13 relative error = 5.686169839738741e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.299999999999771 y[1] (closed_form) = 0.281693852263124 y[1] (numeric) = 0.2816938522632939 absolute error = 1.698086116164177e-13 relative error = 6.028126288599411e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.309999999999774 y[1] (closed_form) = 0.2710340702130905 y[1] (numeric) = 0.2710340702132639 absolute error = 1.734168364464495e-13 relative error = 6.398340854716415e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.319999999999777 y[1] (closed_form) = 0.2603103804731621 y[1] (numeric) = 0.260310380473339 absolute error = 1.769140389740187e-13 relative error = 6.796272920520682e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.329999999999781 y[1] (closed_form) = 0.2495237006017575 y[1] (numeric) = 0.249523700601938 absolute error = 1.805222638040505e-13 relative error = 7.234674035720796e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.339999999999784 y[1] (closed_form) = 0.2386749581521569 y[1] (numeric) = 0.238674958152341 absolute error = 1.841027330584666e-13 relative error = 7.713533689659217e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.349999999999787 y[1] (closed_form) = 0.2277650905948568 y[1] (numeric) = 0.2277650905950445 absolute error = 1.877109578884983e-13 relative error = 8.241427929023338e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.359999999999791 y[1] (closed_form) = 0.2167950452385637 y[1] (numeric) = 0.2167950452387551 absolute error = 1.91402449445377e-13 relative error = 8.828728038261003e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.369999999999794 y[1] (closed_form) = 0.2057657791498306 y[1] (numeric) = 0.2057657791500258 absolute error = 1.951494521534869e-13 relative error = 9.484057697047217e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.379999999999797 y[1] (closed_form) = 0.1946782590713443 y[1] (numeric) = 0.1946782590715431 absolute error = 1.988131881347499e-13 relative error = 1.021239809124707e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.389999999999801 y[1] (closed_form) = 0.1835334613388683 y[1] (numeric) = 0.1835334613390709 absolute error = 2.025324352672442e-13 relative error = 1.103517766132558e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.399999999999804 y[1] (closed_form) = 0.172332371796852 y[1] (numeric) = 0.1723323717970583 absolute error = 2.063071935509697e-13 relative error = 1.197147067610534e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.409999999999807 y[1] (closed_form) = 0.1610759857127085 y[1] (numeric) = 0.1610759857129185 absolute error = 2.099986851078484e-13 relative error = 1.303724352073172e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.419999999999811 y[1] (closed_form) = 0.1497653076897721 y[1] (numeric) = 0.1497653076899859 absolute error = 2.137734433915739e-13 relative error = 1.427389605037169e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.429999999999814 y[1] (closed_form) = 0.1384013515789415 y[1] (numeric) = 0.1384013515791591 absolute error = 2.175759572509151e-13 relative error = 1.572065263588223e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.439999999999817 y[1] (closed_form) = 0.1269851403890161 y[1] (numeric) = 0.1269851403892375 absolute error = 2.214339822614875e-13 relative error = 1.743778693972614e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.449999999999821 y[1] (closed_form) = 0.1155177061957336 y[1] (numeric) = 0.1155177061959588 absolute error = 2.25208740545213e-13 relative error = 1.949560357124982e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.459999999999824 y[1] (closed_form) = 0.1040000900495164 y[1] (numeric) = 0.1040000900497455 absolute error = 2.290667655557854e-13 relative error = 2.202563146308069e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.469999999999827 y[1] (closed_form) = 0.09243334188193665 y[1] (numeric) = 0.09243334188216962 absolute error = 2.329664239297813e-13 relative error = 2.52037218590825e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.479999999999831 y[1] (closed_form) = 0.08081852041090488 y[1] (numeric) = 0.08081852041114167 absolute error = 2.367828155769303e-13 relative error = 2.929808840511525e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.489999999999834 y[1] (closed_form) = 0.06915669304459422 y[1] (numeric) = 0.06915669304483492 absolute error = 2.406963517387339e-13 relative error = 3.480449124187098e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.499999999999837 y[1] (closed_form) = 0.0574489357841069 y[1] (numeric) = 0.05744893578435151 absolute error = 2.446098879005376e-13 relative error = 4.257866304430452e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.509999999999841 y[1] (closed_form) = 0.04569633312489197 y[1] (numeric) = 0.04569633312514052 absolute error = 2.485511796379569e-13 relative error = 5.439193095836494e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.519999999999844 y[1] (closed_form) = 0.03389997795692375 y[1] (numeric) = 0.03389997795717622 absolute error = 2.524716546936645e-13 relative error = 7.44754627907065e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.529999999999847 y[1] (closed_form) = 0.02206097146364957 y[1] (numeric) = 0.02206097146390601 absolute error = 2.564407020066994e-13 relative error = 1.162417994281183e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.539999999999851 y[1] (closed_form) = 0.01018042301971673 y[1] (numeric) = 0.01018042301997712 absolute error = 2.603924020849746e-13 relative error = 2.557775856471434e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.549999999999854 y[1] (closed_form) = -0.001740549912512726 y[1] (numeric) = -0.001740549912248343 absolute error = 2.643826997605903e-13 relative error = 1.518960748324172e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.559999999999858 y[1] (closed_form) = -0.01370082188764891 y[1] (numeric) = -0.01370082188738054 absolute error = 2.68368660627516e-13 relative error = 1.958777822441779e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.569999999999861 y[1] (closed_form) = -0.02569925958315369 y[1] (numeric) = -0.02569925958288132 absolute error = 2.723689329631185e-13 relative error = 1.059831829325002e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.579999999999864 y[1] (closed_form) = -0.03773472190640256 y[1] (numeric) = -0.03773472190612614 absolute error = 2.764247164499523e-13 relative error = 7.325473794019148e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.589999999999868 y[1] (closed_form) = -0.04980606010291874 y[1] (numeric) = -0.04980606010263831 absolute error = 2.804215193386028e-13 relative error = 5.630269062823734e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.599999999999871 y[1] (closed_form) = -0.06191211786576983 y[1] (numeric) = -0.06191211786548534 absolute error = 2.844946500601964e-13 relative error = 4.595136782059408e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.609999999999874 y[1] (closed_form) = -0.07405173144611558 y[1] (numeric) = -0.07405173144582705 absolute error = 2.885330863122704e-13 relative error = 3.896371910253362e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.619999999999878 y[1] (closed_form) = -0.08622372976489742 y[1] (numeric) = -0.08622372976460482 absolute error = 2.9259927813996e-13 relative error = 3.39348899586898e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.629999999999881 y[1] (closed_form) = -0.09842693452565801 y[1] (numeric) = -0.09842693452536135 absolute error = 2.966654699676496e-13 relative error = 3.014067962162477e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.639999999999884 y[1] (closed_form) = -0.1106601603284807 y[1] (numeric) = -0.11066016032818 absolute error = 3.007594173709549e-13 relative error = 2.717865367971531e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.649999999999888 y[1] (closed_form) = -0.1229222147850377 y[1] (numeric) = -0.1229222147847328 absolute error = 3.048533647742602e-13 relative error = 2.480051025011042e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.659999999999891 y[1] (closed_form) = -0.135211898634735 y[1] (numeric) = -0.1352118986344261 absolute error = 3.088918010263342e-13 relative error = 2.284501616686729e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.669999999999894 y[1] (closed_form) = -0.1475280058619447 y[1] (numeric) = -0.1475280058616317 absolute error = 3.129996262174473e-13 relative error = 2.121628530045674e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.679999999999898 y[1] (closed_form) = -0.1598693238143109 y[1] (numeric) = -0.1598693238139937 absolute error = 3.171629625597916e-13 relative error = 1.98388880988937e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.689999999999901 y[1] (closed_form) = -0.172234633322119 y[1] (numeric) = -0.1722346333217977 absolute error = 3.212985433265203e-13 relative error = 1.865470011049503e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.699999999999904 y[1] (closed_form) = -0.184622708818717 y[1] (numeric) = -0.1846227088183915 absolute error = 3.254618796688646e-13 relative error = 1.762848577790282e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.709999999999908 y[1] (closed_form) = -0.1970323184619752 y[1] (numeric) = -0.1970323184616456 absolute error = 3.295697048599777e-13 relative error = 1.672668257840049e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.719999999999911 y[1] (closed_form) = -0.2094622242567744 y[1] (numeric) = -0.2094622242564406 absolute error = 3.337885523535533e-13 relative error = 1.593550118824149e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.729999999999914 y[1] (closed_form) = -0.2219111821785084 y[1] (numeric) = -0.2219111821781705 absolute error = 3.379518886958977e-13 relative error = 1.522915093228806e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.739999999999918 y[1] (closed_form) = -0.23437794229759 y[1] (numeric) = -0.234377942297248 absolute error = 3.420597138870107e-13 relative error = 1.45943645777339e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.749999999999921 y[1] (closed_form) = -0.2468612489049475 y[1] (numeric) = -0.2468612489046013 absolute error = 3.462508058049707e-13 relative error = 1.402613036030991e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.759999999999924 y[1] (closed_form) = -0.2593598406384988 y[1] (numeric) = -0.2593598406381483 absolute error = 3.504418977229307e-13 relative error = 1.351180263144069e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.769999999999928 y[1] (closed_form) = -0.2718724506105904 y[1] (numeric) = -0.2718724506102356 absolute error = 3.547717675189688e-13 relative error = 1.304919886962424e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.779999999999931 y[1] (closed_form) = -0.2843978065363895 y[1] (numeric) = -0.2843978065360305 absolute error = 3.590461261637756e-13 relative error = 1.262478535036924e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.789999999999934 y[1] (closed_form) = -0.2969346308632147 y[1] (numeric) = -0.2969346308628515 absolute error = 3.6320946250612e-13 relative error = 1.223196706461077e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.799999999999938 y[1] (closed_form) = -0.3094816409007926 y[1] (numeric) = -0.3094816409004251 absolute error = 3.674283099996956e-13 relative error = 1.187237824286573e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.809999999999941 y[1] (closed_form) = -0.3220375489524279 y[1] (numeric) = -0.3220375489520563 absolute error = 3.715916463420399e-13 relative error = 1.153876768565681e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.819999999999944 y[1] (closed_form) = -0.3346010624470726 y[1] (numeric) = -0.3346010624466969 absolute error = 3.757549826843842e-13 relative error = 1.122993991520339e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.829999999999948 y[1] (closed_form) = -0.3471708840722808 y[1] (numeric) = -0.3471708840719008 absolute error = 3.799738301779598e-13 relative error = 1.094486454972559e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.839999999999951 y[1] (closed_form) = -0.3597457119080363 y[1] (numeric) = -0.3597457119076521 absolute error = 3.841926776715354e-13 relative error = 1.067956239516619e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.849999999999954 y[1] (closed_form) = -0.372324239561438 y[1] (numeric) = -0.3723242395610495 absolute error = 3.88411525165111e-13 relative error = 1.043207731042766e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.859999999999958 y[1] (closed_form) = -0.3849051563022303 y[1] (numeric) = -0.3849051563018377 absolute error = 3.925193503562241e-13 relative error = 1.019782000654767e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.869999999999961 y[1] (closed_form) = -0.3974871471991637 y[1] (numeric) = -0.3974871471987671 absolute error = 3.966271755473372e-13 relative error = 9.978364793481092e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.879999999999964 y[1] (closed_form) = -0.4100688932571722 y[1] (numeric) = -0.4100688932567714 absolute error = 4.008460230409128e-13 relative error = 9.77508973814126e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.889999999999968 y[1] (closed_form) = -0.4226490715553516 y[1] (numeric) = -0.4226490715549465 absolute error = 4.051203816857196e-13 relative error = 9.585266097826115e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.899999999999971 y[1] (closed_form) = -0.4352263553857266 y[1] (numeric) = -0.4352263553853173 absolute error = 4.093392291792952e-13 relative error = 9.405203157251621e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.909999999999974 y[1] (closed_form) = -0.4477994143927903 y[1] (numeric) = -0.4477994143923767 absolute error = 4.135580766728708e-13 relative error = 9.235342061213942e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.919999999999978 y[1] (closed_form) = -0.4603669147138023 y[1] (numeric) = -0.4603669147133846 absolute error = 4.176659018639839e-13 relative error = 9.07245695802522e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.929999999999981 y[1] (closed_form) = -0.472927519119831 y[1] (numeric) = -0.4729275191194091 absolute error = 4.219402605087907e-13 relative error = 8.921880065132749e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.939999999999984 y[1] (closed_form) = -0.4854798871575234 y[1] (numeric) = -0.4854798871570973 absolute error = 4.261035968511351e-13 relative error = 8.776956741626609e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.949999999999988 y[1] (closed_form) = -0.4980226752915906 y[1] (numeric) = -0.4980226752911603 absolute error = 4.302669331934794e-13 relative error = 8.639504876792198e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.959999999999991 y[1] (closed_form) = -0.51055453704799 y[1] (numeric) = -0.5105545370475557 absolute error = 4.343192472333612e-13 relative error = 8.506813978083149e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.969999999999994 y[1] (closed_form) = -0.5230741231577929 y[1] (numeric) = -0.5230741231573546 absolute error = 4.383160501220118e-13 relative error = 8.379616400748378e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.979999999999998 y[1] (closed_form) = -0.5355800817017191 y[1] (numeric) = -0.5355800817012765 absolute error = 4.426459199180499e-13 relative error = 8.264794286441984e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.990000000000001 y[1] (closed_form) = -0.5480710582553248 y[1] (numeric) = -0.5480710582548778 absolute error = 4.46975789714088e-13 relative error = 8.155435011236437e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = ( 0.2 * x + 0.3 ) * sin ( x ) ; Iterations = 4900 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %