##############ECHO OF PROBLEM################# ##############temp/mult_sin_cpostode.ode################# diff ( y , x , 1 ) = sin ( x ) * 2.0 ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(0.1); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=3; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=true; glob_h=c(0.001); glob_display_interval=c(0.01); /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(glob__m1 *cos(c(x)) * c(2.0)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (closed_form) = -1.990008330556052 y[1] (numeric) = -1.990008330556052 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09933 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (closed_form) = -1.987912195913394 y[1] (numeric) = -1.987912195913394 absolute error = 2.220446049250313e-16 relative error = 1.116973905494893e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1091 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (closed_form) = -1.985617271707733 y[1] (numeric) = -1.985617271707733 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1189 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (closed_form) = -1.983123787429576 y[1] (numeric) = -1.983123787429576 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1285 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (closed_form) = -1.980431992425274 y[1] (numeric) = -1.980431992425274 absolute error = 2.220446049250313e-16 relative error = 1.121192779021467e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1382 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (closed_form) = -1.977542155872084 y[1] (numeric) = -1.977542155872084 absolute error = 2.220446049250313e-16 relative error = 1.122831208759294e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1478 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600000000000001 y[1] (closed_form) = -1.974454566751254 y[1] (numeric) = -1.974454566751253 absolute error = 4.440892098500626e-16 relative error = 2.249174112832397e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1573 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1700000000000001 y[1] (closed_form) = -1.971169533819121 y[1] (numeric) = -1.971169533819121 absolute error = 6.661338147750939e-16 relative error = 3.379383677285567e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1667 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800000000000001 y[1] (closed_form) = -1.967687385576243 y[1] (numeric) = -1.967687385576242 absolute error = 4.440892098500626e-16 relative error = 2.256909370387664e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1761 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900000000000001 y[1] (closed_form) = -1.964008470234541 y[1] (numeric) = -1.96400847023454 absolute error = 4.440892098500626e-16 relative error = 2.261136937953377e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1855 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000000000000001 y[1] (closed_form) = -1.960133155682483 y[1] (numeric) = -1.960133155682483 absolute error = 4.440892098500626e-16 relative error = 2.265607357146299e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1947 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100000000000001 y[1] (closed_form) = -1.956061829448297 y[1] (numeric) = -1.956061829448296 absolute error = 4.440892098500626e-16 relative error = 2.27032296814113e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2039 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200000000000001 y[1] (closed_form) = -1.951794898661211 y[1] (numeric) = -1.951794898661211 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.213 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300000000000001 y[1] (closed_form) = -1.94733279001075 y[1] (numeric) = -1.94733279001075 absolute error = 2.220446049250313e-16 relative error = 1.140249915494956e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.222 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400000000000001 y[1] (closed_form) = -1.942675949704059 y[1] (numeric) = -1.942675949704059 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2309 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500000000000001 y[1] (closed_form) = -1.937824843421289 y[1] (numeric) = -1.937824843421289 absolute error = 2.220446049250313e-16 relative error = 1.145844556998272e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2397 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600000000000001 y[1] (closed_form) = -1.932779956269026 y[1] (numeric) = -1.932779956269026 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2484 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700000000000001 y[1] (closed_form) = -1.927541792731781 y[1] (numeric) = -1.927541792731781 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2571 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800000000000001 y[1] (closed_form) = -1.922110876621542 y[1] (numeric) = -1.922110876621542 absolute error = 2.220446049250313e-16 relative error = 1.155212259738704e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2656 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900000000000001 y[1] (closed_form) = -1.916487751025394 y[1] (numeric) = -1.916487751025395 absolute error = 6.661338147750939e-16 relative error = 3.475805229742204e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.274 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000000000000002 y[1] (closed_form) = -1.910672978251212 y[1] (numeric) = -1.910672978251213 absolute error = 8.881784197001252e-16 relative error = 4.64851091636336e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2823 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100000000000002 y[1] (closed_form) = -1.904667139771427 y[1] (numeric) = -1.904667139771427 absolute error = 6.661338147750939e-16 relative error = 3.49737652771725e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2905 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200000000000002 y[1] (closed_form) = -1.898470836164882 y[1] (numeric) = -1.898470836164883 absolute error = 8.881784197001252e-16 relative error = 4.678388536609509e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2986 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300000000000002 y[1] (closed_form) = -1.892084687056774 y[1] (numeric) = -1.892084687056775 absolute error = 1.110223024625157e-15 relative error = 5.86772374524187e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3066 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000002 y[1] (closed_form) = -1.885509331056692 y[1] (numeric) = -1.885509331056693 absolute error = 1.110223024625157e-15 relative error = 5.888186318351214e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3144 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500000000000002 y[1] (closed_form) = -1.878745425694758 y[1] (numeric) = -1.878745425694759 absolute error = 8.881784197001252e-16 relative error = 4.727508088924171e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3221 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600000000000002 y[1] (closed_form) = -1.87179364735587 y[1] (numeric) = -1.87179364735587 absolute error = 6.661338147750939e-16 relative error = 3.558799420631045e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3297 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700000000000002 y[1] (closed_form) = -1.864654691212069 y[1] (numeric) = -1.86465469121207 absolute error = 8.881784197001252e-16 relative error = 4.763232698719078e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3371 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800000000000002 y[1] (closed_form) = -1.85732927115302 y[1] (numeric) = -1.857329271153021 absolute error = 8.881784197001252e-16 relative error = 4.782019179338884e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3445 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900000000000002 y[1] (closed_form) = -1.849818119714626 y[1] (numeric) = -1.849818119714626 absolute error = 4.440892098500626e-16 relative error = 2.400718238821084e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3516 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000000000000002 y[1] (closed_form) = -1.84212198800577 y[1] (numeric) = -1.84212198800577 absolute error = 4.440892098500626e-16 relative error = 2.410748108657132e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3587 Order of pole (three term test) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100000000000003 y[1] (closed_form) = -1.83424164563321 y[1] (numeric) = -1.834241645633211 absolute error = 6.661338147750939e-16 relative error = 3.631657891755771e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3656 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000003 y[1] (closed_form) = -1.826177880624616 y[1] (numeric) = -1.826177880624617 absolute error = 8.881784197001252e-16 relative error = 4.863592036260659e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3723 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300000000000003 y[1] (closed_form) = -1.81793149934977 y[1] (numeric) = -1.817931499349771 absolute error = 1.110223024625157e-15 relative error = 6.107067428130578e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3789 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400000000000003 y[1] (closed_form) = -1.809503326439927 y[1] (numeric) = -1.809503326439927 absolute error = 8.881784197001252e-16 relative error = 4.908409985891296e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3854 Order of pole (three term test) = 32.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500000000000003 y[1] (closed_form) = -1.800894204705354 y[1] (numeric) = -1.800894204705354 absolute error = 6.661338147750939e-16 relative error = 3.698905871508875e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3917 Order of pole (three term test) = 32.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600000000000003 y[1] (closed_form) = -1.79210499505105 y[1] (numeric) = -1.792104995051051 absolute error = 8.881784197001252e-16 relative error = 4.956062407910562e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3978 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700000000000003 y[1] (closed_form) = -1.783136576390658 y[1] (numeric) = -1.783136576390658 absolute error = 6.661338147750939e-16 relative error = 3.735741970609178e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4038 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800000000000003 y[1] (closed_form) = -1.773989845558568 y[1] (numeric) = -1.773989845558569 absolute error = 6.661338147750939e-16 relative error = 3.755003538734188e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4096 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900000000000003 y[1] (closed_form) = -1.764665717220243 y[1] (numeric) = -1.764665717220244 absolute error = 8.881784197001252e-16 relative error = 5.03312560012336e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4152 Order of pole (three term test) = 32.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000003 y[1] (closed_form) = -1.755165123780745 y[1] (numeric) = -1.755165123780746 absolute error = 8.881784197001252e-16 relative error = 5.060369578145038e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4207 Order of pole (three term test) = 32.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100000000000003 y[1] (closed_form) = -1.745489015291502 y[1] (numeric) = -1.745489015291503 absolute error = 6.661338147750939e-16 relative error = 3.816316281221899e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4261 Order of pole (three term test) = 32.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200000000000004 y[1] (closed_form) = -1.7356383593553 y[1] (numeric) = -1.7356383593553 absolute error = 2.220446049250313e-16 relative error = 1.279325291056079e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4312 Order of pole (three term test) = 32.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300000000000004 y[1] (closed_form) = -1.725614141029522 y[1] (numeric) = -1.725614141029522 absolute error = 6.661338147750939e-16 relative error = 3.860270954766693e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4362 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400000000000004 y[1] (closed_form) = -1.715417362727648 y[1] (numeric) = -1.715417362727648 absolute error = 4.440892098500626e-16 relative error = 2.588811443204271e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.441 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500000000000004 y[1] (closed_form) = -1.705049044119011 y[1] (numeric) = -1.705049044119012 absolute error = 4.440892098500626e-16 relative error = 2.604553877096954e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4456 Order of pole (three term test) = 32.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600000000000004 y[1] (closed_form) = -1.694510222026832 y[1] (numeric) = -1.694510222026832 absolute error = 4.440892098500626e-16 relative error = 2.62075261675837e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4501 Order of pole (three term test) = 32.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700000000000004 y[1] (closed_form) = -1.683801950324537 y[1] (numeric) = -1.683801950324538 absolute error = 6.661338147750939e-16 relative error = 3.956129250513713e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4543 Order of pole (three term test) = 32.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000004 y[1] (closed_form) = -1.672925299830373 y[1] (numeric) = -1.672925299830374 absolute error = 6.661338147750939e-16 relative error = 3.981850324354809e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4584 Order of pole (three term test) = 32.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900000000000004 y[1] (closed_form) = -1.661881358200326 y[1] (numeric) = -1.661881358200327 absolute error = 8.881784197001252e-16 relative error = 5.344415323738546e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4623 Order of pole (three term test) = 32.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000000000000004 y[1] (closed_form) = -1.650671229819356 y[1] (numeric) = -1.650671229819357 absolute error = 6.661338147750939e-16 relative error = 4.035532956178035e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.466 Order of pole (three term test) = 32.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100000000000004 y[1] (closed_form) = -1.639296035690958 y[1] (numeric) = -1.639296035690959 absolute error = 6.661338147750939e-16 relative error = 4.063535812153175e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4695 Order of pole (three term test) = 32.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200000000000004 y[1] (closed_form) = -1.627756913325067 y[1] (numeric) = -1.627756913325068 absolute error = 6.661338147750939e-16 relative error = 4.092342101710769e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4729 Order of pole (three term test) = 32.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300000000000004 y[1] (closed_form) = -1.616055016624303 y[1] (numeric) = -1.616055016624304 absolute error = 4.440892098500626e-16 relative error = 2.747983238699994e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.476 Order of pole (three term test) = 32.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400000000000005 y[1] (closed_form) = -1.604191515768585 y[1] (numeric) = -1.604191515768585 absolute error = 2.220446049250313e-16 relative error = 1.384152719562586e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.479 Order of pole (three term test) = 32.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500000000000005 y[1] (closed_form) = -1.592167597098111 y[1] (numeric) = -1.592167597098111 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4818 Order of pole (three term test) = 32.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000005 y[1] (closed_form) = -1.579984462994729 y[1] (numeric) = -1.57998446299473 absolute error = 2.220446049250313e-16 relative error = 1.405359420460149e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4844 Order of pole (three term test) = 32.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700000000000005 y[1] (closed_form) = -1.567643331761698 y[1] (numeric) = -1.567643331761698 absolute error = 2.220446049250313e-16 relative error = 1.416422986187173e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4867 Order of pole (three term test) = 32.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800000000000005 y[1] (closed_form) = -1.555145437501855 y[1] (numeric) = -1.555145437501856 absolute error = 4.440892098500626e-16 relative error = 2.855612080651671e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4889 Order of pole (three term test) = 32.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900000000000005 y[1] (closed_form) = -1.542492029994213 y[1] (numeric) = -1.542492029994213 absolute error = 2.220446049250313e-16 relative error = 1.439518652980427e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4909 Order of pole (three term test) = 32.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000000000000005 y[1] (closed_form) = -1.529684374568976 y[1] (numeric) = -1.529684374568977 absolute error = 8.881784197001252e-16 relative error = 5.806285495662398e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4927 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100000000000005 y[1] (closed_form) = -1.516723751981016 y[1] (numeric) = -1.516723751981017 absolute error = 8.881784197001252e-16 relative error = 5.855901040252465e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4943 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200000000000005 y[1] (closed_form) = -1.503611458281789 y[1] (numeric) = -1.50361145828179 absolute error = 1.110223024625157e-15 relative error = 7.383709524891712e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4957 Order of pole (three term test) = 32.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300000000000005 y[1] (closed_form) = -1.49034880468974 y[1] (numeric) = -1.490348804689741 absolute error = 1.332267629550188e-15 relative error = 8.939300822451014e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4969 Order of pole (three term test) = 32.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000005 y[1] (closed_form) = -1.476937117459175 y[1] (numeric) = -1.476937117459177 absolute error = 1.77635683940025e-15 relative error = 1.202730176120279e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4979 Order of pole (three term test) = 32.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500000000000006 y[1] (closed_form) = -1.463377737747641 y[1] (numeric) = -1.463377737747642 absolute error = 1.554312234475219e-15 relative error = 1.062140139474542e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4987 Order of pole (three term test) = 32.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600000000000006 y[1] (closed_form) = -1.44967202148181 y[1] (numeric) = -1.449672021481811 absolute error = 1.77635683940025e-15 relative error = 1.225350847003665e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4994 Order of pole (three term test) = 32.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700000000000006 y[1] (closed_form) = -1.435821339221886 y[1] (numeric) = -1.435821339221888 absolute error = 1.77635683940025e-15 relative error = 1.237171221012017e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4998 Order of pole (three term test) = 32.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800000000000006 y[1] (closed_form) = -1.421827076024554 y[1] (numeric) = -1.421827076024555 absolute error = 1.554312234475219e-15 relative error = 1.093179515768609e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5 Order of pole (three term test) = 32.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900000000000006 y[1] (closed_form) = -1.407690631304471 y[1] (numeric) = -1.407690631304473 absolute error = 1.554312234475219e-15 relative error = 1.104157547056257e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5 Order of pole (three term test) = 32.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000000000000006 y[1] (closed_form) = -1.39341341869433 y[1] (numeric) = -1.393413418694331 absolute error = 1.554312234475219e-15 relative error = 1.115470981994458e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4998 Order of pole (three term test) = 32.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100000000000006 y[1] (closed_form) = -1.378996865903493 y[1] (numeric) = -1.378996865903495 absolute error = 1.332267629550188e-15 relative error = 9.661136022070004e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4994 Order of pole (three term test) = 32.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000006 y[1] (closed_form) = -1.364442414575226 y[1] (numeric) = -1.364442414575228 absolute error = 1.332267629550188e-15 relative error = 9.764190964152526e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4988 Order of pole (three term test) = 32.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300000000000006 y[1] (closed_form) = -1.349751520142533 y[1] (numeric) = -1.349751520142535 absolute error = 1.554312234475219e-15 relative error = 1.151554350026651e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.498 Order of pole (three term test) = 32.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400000000000006 y[1] (closed_form) = -1.334925651682615 y[1] (numeric) = -1.334925651682617 absolute error = 1.332267629550188e-15 relative error = 9.980088612957004e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.497 Order of pole (three term test) = 32.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500000000000006 y[1] (closed_form) = -1.319966291769963 y[1] (numeric) = -1.319966291769965 absolute error = 1.332267629550188e-15 relative error = 1.00931943327411e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4958 Order of pole (three term test) = 32.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600000000000007 y[1] (closed_form) = -1.304874936328103 y[1] (numeric) = -1.304874936328104 absolute error = 1.110223024625157e-15 relative error = 8.50827151105612e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4944 Order of pole (three term test) = 32.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700000000000007 y[1] (closed_form) = -1.289653094480001 y[1] (numeric) = -1.289653094480002 absolute error = 1.110223024625157e-15 relative error = 8.608695077592223e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4929 Order of pole (three term test) = 32.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800000000000007 y[1] (closed_form) = -1.274302288397159 y[1] (numeric) = -1.27430228839716 absolute error = 1.110223024625157e-15 relative error = 8.712399206483537e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4911 Order of pole (three term test) = 32.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900000000000007 y[1] (closed_form) = -1.258824053147393 y[1] (numeric) = -1.258824053147394 absolute error = 8.881784197001252e-16 relative error = 7.055620024732166e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4891 Order of pole (three term test) = 32.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000007 y[1] (closed_form) = -1.243219936541328 y[1] (numeric) = -1.243219936541329 absolute error = 8.881784197001252e-16 relative error = 7.144177740352701e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4869 Order of pole (three term test) = 32.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100000000000007 y[1] (closed_form) = -1.227491498977622 y[1] (numeric) = -1.227491498977623 absolute error = 1.332267629550188e-15 relative error = 1.085357927659649e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4846 Order of pole (three term test) = 32.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200000000000007 y[1] (closed_form) = -1.211640313286924 y[1] (numeric) = -1.211640313286926 absolute error = 1.332267629550188e-15 relative error = 1.099557034328139e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.482 Order of pole (three term test) = 32.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300000000000007 y[1] (closed_form) = -1.195667964574595 y[1] (numeric) = -1.195667964574596 absolute error = 1.110223024625157e-15 relative error = 9.285379030959995e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4792 Order of pole (three term test) = 32.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400000000000007 y[1] (closed_form) = -1.179576050062195 y[1] (numeric) = -1.179576050062196 absolute error = 8.881784197001252e-16 relative error = 7.529641006642128e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4763 Order of pole (three term test) = 32.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500000000000007 y[1] (closed_form) = -1.163366178927766 y[1] (numeric) = -1.163366178927767 absolute error = 8.881784197001252e-16 relative error = 7.634555961724179e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4732 Order of pole (three term test) = 32.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600000000000007 y[1] (closed_form) = -1.147039972144912 y[1] (numeric) = -1.147039972144913 absolute error = 1.110223024625157e-15 relative error = 9.679026464518847e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4698 Order of pole (three term test) = 32.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700000000000008 y[1] (closed_form) = -1.130599062320707 y[1] (numeric) = -1.130599062320708 absolute error = 8.881784197001252e-16 relative error = 7.855821301293307e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4663 Order of pole (three term test) = 32.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800000000000008 y[1] (closed_form) = -1.114045093532433 y[1] (numeric) = -1.114045093532435 absolute error = 1.332267629550188e-15 relative error = 1.195883036768117e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4626 Order of pole (three term test) = 32.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900000000000008 y[1] (closed_form) = -1.097379721163174 y[1] (numeric) = -1.097379721163175 absolute error = 1.332267629550188e-15 relative error = 1.214044331107234e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4587 Order of pole (three term test) = 32.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000000000000001 y[1] (closed_form) = -1.080604611736278 y[1] (numeric) = -1.08060461173628 absolute error = 1.554312234475219e-15 relative error = 1.438372756875249e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4546 Order of pole (three term test) = 32.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.01 y[1] (closed_form) = -1.063721442748712 y[1] (numeric) = -1.063721442748712 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4504 Order of pole (three term test) = 32.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.019999999999998 y[1] (closed_form) = -1.046731902503302 y[1] (numeric) = -1.0467319025033 absolute error = 1.998401444325282e-15 relative error = 1.909181748971273e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.446 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.029999999999997 y[1] (closed_form) = -1.029637689939915 y[1] (numeric) = -1.029637689939911 absolute error = 3.774758283725532e-15 relative error = 3.666103446490784e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4414 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.039999999999996 y[1] (closed_form) = -1.012440514465563 y[1] (numeric) = -1.012440514465557 absolute error = 5.995204332975845e-15 relative error = 5.921537361768392e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4366 Order of pole (three term test) = 32.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.049999999999995 y[1] (closed_form) = -0.9951420957834624 y[1] (numeric) = -0.9951420957834546 absolute error = 7.771561172376096e-15 relative error = 7.809498970353221e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4316 Order of pole (three term test) = 32.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.059999999999994 y[1] (closed_form) = -0.9777441637210655 y[1] (numeric) = -0.9777441637210558 absolute error = 9.769962616701378e-15 relative error = 9.992350738785477e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4265 Order of pole (three term test) = 32.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.069999999999993 y[1] (closed_form) = -0.9602484580570806 y[1] (numeric) = -0.9602484580570687 absolute error = 1.187938636348917e-14 relative error = 1.237115900974768e-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 Radius of convergence (three term test) for eq 1 = 0.4212 Order of pole (three term test) = 32.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.079999999999992 y[1] (closed_form) = -0.9426567283474944 y[1] (numeric) = -0.9426567283474804 absolute error = 1.398881011027697e-14 relative error = 1.48397711378985e-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 Radius of convergence (three term test) for eq 1 = 0.4157 Order of pole (three term test) = 32.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.089999999999991 y[1] (closed_form) = -0.9249707337506181 y[1] (numeric) = -0.9249707337506022 absolute error = 1.587618925213974e-14 relative error = 1.716399089489477e-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 Radius of convergence (three term test) for eq 1 = 0.4101 Order of pole (three term test) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.09999999999999 y[1] (closed_form) = -0.9071922428511732 y[1] (numeric) = -0.9071922428511554 absolute error = 1.77635683940025e-14 relative error = 1.958082042034905e-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 Radius of convergence (three term test) for eq 1 = 0.4042 Order of pole (three term test) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.109999999999989 y[1] (closed_form) = -0.8893230334834342 y[1] (numeric) = -0.8893230334834143 absolute error = 1.98729921407903e-14 relative error = 2.234620199023608e-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 Radius of convergence (three term test) for eq 1 = 0.3983 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.119999999999987 y[1] (closed_form) = -0.871364892553447 y[1] (numeric) = -0.8713648925534251 absolute error = 2.187139358511558e-14 relative error = 2.510015467919952e-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 Radius of convergence (three term test) for eq 1 = 0.3922 Order of pole (three term test) = 32.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.129999999999986 y[1] (closed_form) = -0.8533196158603393 y[1] (numeric) = -0.8533196158603154 absolute error = 2.398081733190338e-14 relative error = 2.810297207069978e-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 Radius of convergence (three term test) for eq 1 = 0.3859 Order of pole (three term test) = 32.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.139999999999985 y[1] (closed_form) = -0.835189007916743 y[1] (numeric) = -0.835189007916717 absolute error = 2.597921877622866e-14 relative error = 3.110579584976822e-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 Radius of convergence (three term test) for eq 1 = 0.3794 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.149999999999984 y[1] (closed_form) = -0.8169748817683435 y[1] (numeric) = -0.8169748817683156 absolute error = 2.797762022055394e-14 relative error = 3.424538605152258e-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 Radius of convergence (three term test) for eq 1 = 0.3729 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.159999999999983 y[1] (closed_form) = -0.7986790588125774 y[1] (numeric) = -0.7986790588125475 absolute error = 2.986499936241671e-14 relative error = 3.73929916314796e-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 Radius of convergence (three term test) for eq 1 = 0.3661 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.169999999999982 y[1] (closed_form) = -0.7803033686164936 y[1] (numeric) = -0.7803033686164618 absolute error = 3.186340080674199e-14 relative error = 4.083463187303288e-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 Radius of convergence (three term test) for eq 1 = 0.3592 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.179999999999981 y[1] (closed_form) = -0.761849648733799 y[1] (numeric) = -0.761849648733765 absolute error = 3.397282455352979e-14 relative error = 4.459255787541929e-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 Radius of convergence (three term test) for eq 1 = 0.3522 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.18999999999998 y[1] (closed_form) = -0.7433197445211035 y[1] (numeric) = -0.7433197445210676 absolute error = 3.586020369539256e-14 relative error = 4.824330842778313e-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 Radius of convergence (three term test) for eq 1 = 0.345 Order of pole (three term test) = 32.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.199999999999979 y[1] (closed_form) = -0.724715508953387 y[1] (numeric) = -0.7247155089533491 absolute error = 3.785860513971784e-14 relative error = 5.223926447274756e-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 Radius of convergence (three term test) for eq 1 = 0.3377 Order of pole (three term test) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.209999999999978 y[1] (closed_form) = -0.7060388024387028 y[1] (numeric) = -0.7060388024386629 absolute error = 3.985700658404312e-14 relative error = 5.645158091364737e-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 Radius of convergence (three term test) for eq 1 = 0.3303 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.219999999999976 y[1] (closed_form) = -0.6872914926321383 y[1] (numeric) = -0.6872914926320965 absolute error = 4.174438572590589e-14 relative error = 6.073752719684673e-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 Radius of convergence (three term test) for eq 1 = 0.3227 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.229999999999975 y[1] (closed_form) = -0.6684754542490516 y[1] (numeric) = -0.6684754542490079 absolute error = 4.374278717023117e-14 relative error = 6.543663928449057e-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 Radius of convergence (three term test) for eq 1 = 0.315 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.239999999999974 y[1] (closed_form) = -0.6495925688776012 y[1] (numeric) = -0.6495925688775553 absolute error = 4.585221091701897e-14 relative error = 7.058610752928521e-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 Radius of convergence (three term test) for eq 1 = 0.3072 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.249999999999973 y[1] (closed_form) = -0.6306447247905883 y[1] (numeric) = -0.6306447247905403 absolute error = 4.796163466380676e-14 relative error = 7.605174954842109e-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 Radius of convergence (three term test) for eq 1 = 0.2992 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.259999999999972 y[1] (closed_form) = -0.6116338167566319 y[1] (numeric) = -0.6116338167565818 absolute error = 5.007105841059456e-14 relative error = 8.186443757493833e-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 Radius of convergence (three term test) for eq 1 = 0.2912 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.269999999999971 y[1] (closed_form) = -0.592561745850693 y[1] (numeric) = -0.5925617458506407 absolute error = 5.229150445984487e-14 relative error = 8.824650734882351e-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 Radius of convergence (three term test) for eq 1 = 0.283 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.27999999999997 y[1] (closed_form) = -0.5734304192639689 y[1] (numeric) = -0.5734304192639145 absolute error = 5.440092820663267e-14 relative error = 9.486927511878321e-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 Radius of convergence (three term test) for eq 1 = 0.2747 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.289999999999969 y[1] (closed_form) = -0.5542417501131753 y[1] (numeric) = -0.5542417501131188 absolute error = 5.651035195342047e-14 relative error = 1.01959753017309e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2663 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.299999999999968 y[1] (closed_form) = -0.5349976572492372 y[1] (numeric) = -0.5349976572491786 absolute error = 5.861977570020827e-14 relative error = 1.095701540107853e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2578 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.309999999999967 y[1] (closed_form) = -0.515700065065404 y[1] (numeric) = -0.5157000650653433 absolute error = 6.072919944699606e-14 relative error = 1.177606976630768e-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 Radius of convergence (three term test) for eq 1 = 0.2491 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.319999999999965 y[1] (closed_form) = -0.4963509033048129 y[1] (numeric) = -0.49635090330475 absolute error = 6.294964549624638e-14 relative error = 1.26824883519127e-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 Radius of convergence (three term test) for eq 1 = 0.2404 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.329999999999964 y[1] (closed_form) = -0.4769521068675157 y[1] (numeric) = -0.4769521068674506 absolute error = 6.511458039426543e-14 relative error = 1.365222617883361e-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 Radius of convergence (three term test) for eq 1 = 0.2316 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.339999999999963 y[1] (closed_form) = -0.4575056156169905 y[1] (numeric) = -0.4575056156169232 absolute error = 6.733502644351574e-14 relative error = 1.47178579114724e-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 Radius of convergence (three term test) for eq 1 = 0.2227 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.349999999999962 y[1] (closed_form) = -0.4380133741861571 y[1] (numeric) = -0.4380133741860876 absolute error = 6.94999613415348e-14 relative error = 1.586708658626417e-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 Radius of convergence (three term test) for eq 1 = 0.2137 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.359999999999961 y[1] (closed_form) = -0.418477331782915 y[1] (numeric) = -0.4184773317828434 absolute error = 7.16093850883226e-14 relative error = 1.71118910511191e-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 Radius of convergence (three term test) for eq 1 = 0.2046 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.36999999999996 y[1] (closed_form) = -0.3988994419952245 y[1] (numeric) = -0.3988994419951508 absolute error = 7.371880883511039e-14 relative error = 1.848054950049114e-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 Radius of convergence (three term test) for eq 1 = 0.1954 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.379999999999959 y[1] (closed_form) = -0.3792816625957496 y[1] (numeric) = -0.3792816625956737 absolute error = 7.588374373312945e-14 relative error = 2.000722713926952e-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 Radius of convergence (three term test) for eq 1 = 0.1862 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.389999999999958 y[1] (closed_form) = -0.3596259553460822 y[1] (numeric) = -0.3596259553460041 absolute error = 7.80486786311485e-14 relative error = 2.170273793392894e-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 Radius of convergence (three term test) for eq 1 = 0.1769 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.399999999999957 y[1] (closed_form) = -0.3399342858005674 y[1] (numeric) = -0.3399342858004872 absolute error = 8.021361352916756e-14 relative error = 2.359679999334556e-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 Radius of convergence (three term test) for eq 1 = 0.1675 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.409999999999956 y[1] (closed_form) = -0.3202086231097502 y[1] (numeric) = -0.3202086231096678 absolute error = 8.243405957841787e-14 relative error = 2.574385998036159e-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 Radius of convergence (three term test) for eq 1 = 0.158 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.419999999999954 y[1] (closed_form) = -0.3004509398234617 y[1] (numeric) = -0.3004509398233771 absolute error = 8.459899447643693e-14 relative error = 2.815734060480737e-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 Radius of convergence (three term test) for eq 1 = 0.1485 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.429999999999953 y[1] (closed_form) = -0.2806632116935658 y[1] (numeric) = -0.280663211693479 absolute error = 8.681944052568724e-14 relative error = 3.093367313863657e-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 Radius of convergence (three term test) for eq 1 = 0.1389 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.439999999999952 y[1] (closed_form) = -0.2608474174763857 y[1] (numeric) = -0.2608474174762967 absolute error = 8.903988657493755e-14 relative error = 3.413485455841181e-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 Radius of convergence (three term test) for eq 1 = 0.1293 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.449999999999951 y[1] (closed_form) = -0.2410055387348302 y[1] (numeric) = -0.241005538734739 absolute error = 9.126033262418787e-14 relative error = 3.786648767628463e-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 Radius of convergence (three term test) for eq 1 = 0.1196 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.45999999999995 y[1] (closed_form) = -0.2211395596402385 y[1] (numeric) = -0.221139559640145 absolute error = 9.345302309782255e-14 relative error = 4.225974911492854e-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 Radius of convergence (three term test) for eq 1 = 0.1099 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.469999999999949 y[1] (closed_form) = -0.2012514667739651 y[1] (numeric) = -0.2012514667738695 absolute error = 9.561795799584161e-14 relative error = 4.75116825375661e-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 Radius of convergence (three term test) for eq 1 = 0.1001 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.479999999999948 y[1] (closed_form) = -0.1813432489287233 y[1] (numeric) = -0.1813432489286254 absolute error = 9.786615962070755e-14 relative error = 5.396735759331946e-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 Radius of convergence (three term test) for eq 1 = 0.0903 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.489999999999947 y[1] (closed_form) = -0.1614168969097075 y[1] (numeric) = -0.1614168969096075 absolute error = 1.00003338943111e-13 relative error = 6.195345150207559e-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 Radius of convergence (three term test) for eq 1 = 0.08045 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.499999999999946 y[1] (closed_form) = -0.1414744033355143 y[1] (numeric) = -0.1414744033354122 absolute error = 1.0216827384113e-13 relative error = 7.221679076379092e-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 Radius of convergence (three term test) for eq 1 = 0.07056 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.509999999999944 y[1] (closed_form) = -0.1215177624388826 y[1] (numeric) = -0.1215177624387783 absolute error = 1.043609643147647e-13 relative error = 8.588124256094091e-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 Radius of convergence (three term test) for eq 1 = 0.06065 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.519999999999943 y[1] (closed_form) = -0.1015489698672715 y[1] (numeric) = -0.1015489698671649 absolute error = 1.065536547883994e-13 relative error = 1.049283463216508e-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 Radius of convergence (three term test) for eq 1 = 0.05071 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.529999999999942 y[1] (closed_form) = -0.08157002248329744 y[1] (numeric) = -0.08157002248318868 absolute error = 1.087602230498419e-13 relative error = 1.333335700282687e-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 Radius of convergence (three term test) for eq 1 = 0.04075 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.539999999999941 y[1] (closed_form) = -0.06158291816504987 y[1] (numeric) = -0.06158291816493891 absolute error = 1.109598524173805e-13 relative error = 1.801795948025625e-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 Radius of convergence (three term test) for eq 1 = 0.03078 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.54999999999994 y[1] (closed_form) = -0.04158965560630474 y[1] (numeric) = -0.04158965560619157 absolute error = 1.13166420678823e-13 relative error = 2.721023269585999e-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 Radius of convergence (three term test) for eq 1 = 0.02079 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.559999999999939 y[1] (closed_form) = -0.0215922341166569 y[1] (numeric) = -0.02159223411654154 absolute error = 1.153660500463616e-13 relative error = 5.342941792084624e-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 Radius of convergence (three term test) for eq 1 = 0.0108 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] = 1.569989504781001 y[1] (closed_form) = -0.00161364385272144 y[1] (numeric) = -0.001613643852606313 absolute error = 1.151277424088493e-13 relative error = 7.134643881590363e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.579994052254919 y[1] (closed_form) = 0.0183951915509437 y[1] (numeric) = 0.0183951915510534 absolute error = 1.096969737268694e-13 relative error = 5.963350445309266e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.589998599728836 y[1] (closed_form) = 0.03840218577739745 y[1] (numeric) = 0.03840218577750171 absolute error = 1.042568809062061e-13 relative error = 2.714868406463704e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600003147202754 y[1] (closed_form) = 0.05840533632388051 y[1] (numeric) = 0.05840533632397937 absolute error = 9.885842144896628e-14 relative error = 1.692626524753792e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610007694676671 y[1] (closed_form) = 0.07840264107234808 y[1] (numeric) = 0.07840264107244153 absolute error = 9.345302309782255e-14 relative error = 1.19196269181272e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620012242150589 y[1] (closed_form) = 0.09839209848986201 y[1] (numeric) = 0.09839209848995004 absolute error = 8.80268080649671e-14 relative error = 8.946532233382245e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630016789624507 y[1] (closed_form) = 0.1183717078289246 y[1] (numeric) = 0.1183717078290072 absolute error = 8.260059303211165e-14 relative error = 6.978068877023321e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640021337098424 y[1] (closed_form) = 0.1383394693277337 y[1] (numeric) = 0.1383394693278109 absolute error = 7.721601136267964e-14 relative error = 5.581632757297249e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650025884572342 y[1] (closed_form) = 0.1582933844103389 y[1] (numeric) = 0.1582933844104108 absolute error = 7.188694084447889e-14 relative error = 4.541373672201527e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.66003043204626 y[1] (closed_form) = 0.1782314558866799 y[1] (numeric) = 0.1782314558867463 absolute error = 6.647460359943125e-14 relative error = 3.729678538994599e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670034979520177 y[1] (closed_form) = 0.1981516881524845 y[1] (numeric) = 0.1981516881525456 absolute error = 6.109002192999924e-14 relative error = 3.082992756689935e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680039526994095 y[1] (closed_form) = 0.2180520873890099 y[1] (numeric) = 0.2180520873890657 absolute error = 5.581646256302975e-14 relative error = 2.559776575926645e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690044074468013 y[1] (closed_form) = 0.2379306617626039 y[1] (numeric) = 0.2379306617626543 absolute error = 5.045963646921336e-14 relative error = 2.120770652063316e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.70004862194193 y[1] (closed_form) = 0.2577854216240675 y[1] (numeric) = 0.2577854216241126 absolute error = 4.507505479978136e-14 relative error = 1.748549414307649e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710053169415848 y[1] (closed_form) = 0.2776143797077997 y[1] (numeric) = 0.2776143797078394 absolute error = 3.969047313034935e-14 relative error = 1.429698028327105e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720057716889766 y[1] (closed_form) = 0.2974155513307028 y[1] (numeric) = 0.297415551330737 absolute error = 3.419486915845482e-14 relative error = 1.149733731321696e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730062264363683 y[1] (closed_form) = 0.3171869545908297 y[1] (numeric) = 0.3171869545908586 absolute error = 2.886579864025407e-14 relative error = 9.100563003131975e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740066811837601 y[1] (closed_form) = 0.336926610565753 y[1] (numeric) = 0.3369266105657764 absolute error = 2.337019466835955e-14 relative error = 6.936286400506418e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750071359311519 y[1] (closed_form) = 0.3566325435106351 y[1] (numeric) = 0.3566325435106532 absolute error = 1.809663530139005e-14 relative error = 5.07430845296663e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760075906785436 y[1] (closed_form) = 0.376302781055981 y[1] (numeric) = 0.376302781055994 absolute error = 1.293409823688307e-14 relative error = 3.437151912772848e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.770080454259354 y[1] (closed_form) = 0.3959353544050534 y[1] (numeric) = 0.3959353544050609 absolute error = 7.549516567451064e-15 relative error = 1.906754848602807e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780085001733272 y[1] (closed_form) = 0.4155282985309292 y[1] (numeric) = 0.4155282985309313 absolute error = 2.164934898019055e-15 relative error = 5.210078123855894e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790089549207189 y[1] (closed_form) = 0.4350796523731796 y[1] (numeric) = 0.4350796523731763 absolute error = 3.386180225106727e-15 relative error = 7.782897238784931e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800094096681107 y[1] (closed_form) = 0.4545874590341533 y[1] (numeric) = 0.4545874590341447 absolute error = 8.604228440844963e-15 relative error = 1.892755347700546e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810098644155025 y[1] (closed_form) = 0.4740497659748417 y[1] (numeric) = 0.4740497659748276 absolute error = 1.415534356397075e-14 relative error = 2.986045892220097e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820103191628942 y[1] (closed_form) = 0.4934646252103098 y[1] (numeric) = 0.4934646252102904 absolute error = 1.937339177970898e-14 relative error = 3.925994040900547e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.83010773910286 y[1] (closed_form) = 0.5128300935046697 y[1] (numeric) = 0.512830093504645 absolute error = 2.464695114667848e-14 relative error = 4.806065685077439e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840112286576778 y[1] (closed_form) = 0.5321442325655794 y[1] (numeric) = 0.5321442325655493 absolute error = 3.008704396734174e-14 relative error = 5.65392653459491e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850116834050695 y[1] (closed_form) = 0.551405109238247 y[1] (numeric) = 0.5514051092382117 absolute error = 3.530509218307998e-14 relative error = 6.402750281340904e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860121381524613 y[1] (closed_form) = 0.57061079569892 y[1] (numeric) = 0.5706107956988796 absolute error = 4.04121180963557e-14 relative error = 7.082256136927166e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870125928998531 y[1] (closed_form) = 0.5897593696478419 y[1] (numeric) = 0.5897593696477965 absolute error = 4.54081217071689e-14 relative error = 7.699432013141745e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880130476472448 y[1] (closed_form) = 0.6088489145016552 y[1] (numeric) = 0.6088489145016043 absolute error = 5.095923683029469e-14 relative error = 8.369767214252978e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890135023946366 y[1] (closed_form) = 0.6278775195852323 y[1] (numeric) = 0.6278775195851761 absolute error = 5.617728504603292e-14 relative error = 8.947172544598013e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900139571420284 y[1] (closed_form) = 0.6468432803229158 y[1] (numeric) = 0.646843280322854 absolute error = 6.183942247162122e-14 relative error = 9.56018626965559e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910144118894201 y[1] (closed_form) = 0.6657442984291471 y[1] (numeric) = 0.6657442984290803 absolute error = 6.672440377997191e-14 relative error = 1.002252725819974e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.919987302699185 y[1] (closed_form) = 0.684275440324157 y[1] (numeric) = 0.6842754403240852 absolute error = 7.183142969324763e-14 relative error = 1.049744378655756e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.929991850173102 y[1] (closed_form) = 0.7030424244967277 y[1] (numeric) = 0.7030424244966504 absolute error = 7.72715225139109e-14 relative error = 1.09910184394954e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.93999639764702 y[1] (closed_form) = 0.7217390410579015 y[1] (numeric) = 0.7217390410578192 absolute error = 8.237854842718662e-14 relative error = 1.141389667745267e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950000945120938 y[1] (closed_form) = 0.740363418660797 y[1] (numeric) = 0.7403634186607094 absolute error = 8.759659664292485e-14 relative error = 1.183156736746577e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960005492594855 y[1] (closed_form) = 0.7589136931889399 y[1] (numeric) = 0.758913693188847 absolute error = 9.281464485866309e-14 relative error = 1.222993414029174e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970010040068773 y[1] (closed_form) = 0.7773880079428424 y[1] (numeric) = 0.7773880079427451 absolute error = 9.725553695716371e-14 relative error = 1.251055276946264e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980014587542691 y[1] (closed_form) = 0.7957845138258413 y[1] (numeric) = 0.7957845138257393 absolute error = 1.019184736605894e-13 relative error = 1.280729542858312e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990019135016608 y[1] (closed_form) = 0.8141013695291732 y[1] (numeric) = 0.8141013695290664 absolute error = 1.068034549689401e-13 relative error = 1.311918379780011e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000023682490526 y[1] (closed_form) = 0.8323367417162727 y[1] (numeric) = 0.8323367417161607 absolute error = 1.120215031846783e-13 relative error = 1.345867574627196e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.01002822996443 y[1] (closed_form) = 0.8504888052062449 y[1] (numeric) = 0.850488805206153 absolute error = 9.192646643896296e-14 relative error = 1.080866272151232e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.020032777438334 y[1] (closed_form) = 0.8685557431566243 y[1] (numeric) = 0.8685557431565525 absolute error = 7.183142969324763e-14 relative error = 8.270215269337579e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.030037324912238 y[1] (closed_form) = 0.8865357472451466 y[1] (numeric) = 0.8865357472450942 absolute error = 5.240252676230739e-14 relative error = 5.910932179006307e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.040041872386142 y[1] (closed_form) = 0.90442701785077 y[1] (numeric) = 0.9044270178507372 absolute error = 3.275157922644212e-14 relative error = 3.621251751663849e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.050046419860045 y[1] (closed_form) = 0.9222277642337983 y[1] (numeric) = 0.9222277642337853 absolute error = 1.298960938811433e-14 relative error = 1.408503397087195e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.060050967333949 y[1] (closed_form) = 0.9399362047151177 y[1] (numeric) = 0.9399362047151237 absolute error = 5.995204332975845e-15 relative error = 6.378309828796213e-13 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 15 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.070055514807853 y[1] (closed_form) = 0.9575505668545242 y[1] (numeric) = 0.9575505668545496 absolute error = 2.542410726391608e-14 relative error = 2.655119023889486e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.080060062281757 y[1] (closed_form) = 0.9750690876281279 y[1] (numeric) = 0.9750690876281729 absolute error = 4.496403249731884e-14 relative error = 4.611368883275196e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.090064609755661 y[1] (closed_form) = 0.9924900136048143 y[1] (numeric) = 0.9924900136048787 absolute error = 6.439293542825908e-14 relative error = 6.488018473292045e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.100069157229565 y[1] (closed_form) = 1.009811601121745 y[1] (numeric) = 1.009811601121828 absolute error = 8.348877145181177e-14 relative error = 8.267757209272367e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.110073704703469 y[1] (closed_form) = 1.027032116458881 y[1] (numeric) = 1.027032116458983 absolute error = 1.021405182655144e-13 relative error = 9.945211705519607e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.120078252177373 y[1] (closed_form) = 1.044149836012513 y[1] (numeric) = 1.044149836012634 absolute error = 1.210143096841421e-13 relative error = 1.158974560071585e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.130082799651277 y[1] (closed_form) = 1.061163046467775 y[1] (numeric) = 1.061163046467915 absolute error = 1.398881011027697e-13 relative error = 1.318252662193677e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.14008734712518 y[1] (closed_form) = 1.078070044970129 y[1] (numeric) = 1.078070044970289 absolute error = 1.594280263361725e-13 relative error = 1.478828088026412e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.150091894599084 y[1] (closed_form) = 1.094869139295809 y[1] (numeric) = 1.094869139295986 absolute error = 1.77191594730175e-13 relative error = 1.618381488441075e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.160096442072988 y[1] (closed_form) = 1.111558648021189 y[1] (numeric) = 1.111558648021385 absolute error = 1.956212969389526e-13 relative error = 1.759882821182671e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.170100989546892 y[1] (closed_form) = 1.128136900691084 y[1] (numeric) = 1.128136900691297 absolute error = 2.131628207280301e-13 relative error = 1.889511996260816e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.180105537020796 y[1] (closed_form) = 1.14460223798594 y[1] (numeric) = 1.144602237986173 absolute error = 2.327027459614328e-13 relative error = 2.033044652882211e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.1901100844947 y[1] (closed_form) = 1.16095301188792 y[1] (numeric) = 1.160953011888171 absolute error = 2.511324481702104e-13 relative error = 2.163157729887995e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.200114631968604 y[1] (closed_form) = 1.177187585845851 y[1] (numeric) = 1.17718758584612 absolute error = 2.688960165642129e-13 relative error = 2.28422402510303e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.210119179442508 y[1] (closed_form) = 1.19330433493903 y[1] (numeric) = 1.193304334939317 absolute error = 2.873257187729905e-13 relative error = 2.407815930608104e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.220123726916412 y[1] (closed_form) = 1.209301646039858 y[1] (numeric) = 1.209301646040163 absolute error = 3.05089287166993e-13 relative error = 2.522855138468384e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.230128274390315 y[1] (closed_form) = 1.225177917975303 y[1] (numeric) = 1.225177917975626 absolute error = 3.228528555609955e-13 relative error = 2.635150787687503e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.240132821864219 y[1] (closed_form) = 1.240931561687159 y[1] (numeric) = 1.240931561687499 absolute error = 3.40394379350073e-13 relative error = 2.743055216415609e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.250137369338123 y[1] (closed_form) = 1.256561000391095 y[1] (numeric) = 1.256561000391453 absolute error = 3.577138585342254e-13 relative error = 2.846768747580816e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.260141916812027 y[1] (closed_form) = 1.272064669734476 y[1] (numeric) = 1.27206466973485 absolute error = 3.739231146937527e-13 relative error = 2.93949768113443e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.269985100616997 y[1] (closed_form) = 1.287194030651064 y[1] (numeric) = 1.287194030651454 absolute error = 3.89910326248355e-13 relative error = 3.029149584007455e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.279989648090901 y[1] (closed_form) = 1.302443609257088 y[1] (numeric) = 1.302443609257496 absolute error = 4.072298054325074e-13 relative error = 3.12665978425577e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.289994195564805 y[1] (closed_form) = 1.317562826106028 y[1] (numeric) = 1.317562826106452 absolute error = 4.238831508018848e-13 relative error = 3.217176004082053e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299998743038709 y[1] (closed_form) = 1.332550167913423 y[1] (numeric) = 1.332550167913863 absolute error = 4.405364961712621e-13 relative error = 3.305965559713803e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.310003290512613 y[1] (closed_form) = 1.347404134594204 y[1] (numeric) = 1.347404134594661 absolute error = 4.571898415406395e-13 relative error = 3.393115916764875e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.320007837986517 y[1] (closed_form) = 1.362123239412836 y[1] (numeric) = 1.362123239413309 absolute error = 4.731770530952417e-13 relative error = 3.473819691228614e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.33001238546042 y[1] (closed_form) = 1.376706009132125 y[1] (numeric) = 1.376706009132615 absolute error = 4.89164264649844e-13 relative error = 3.553149774934249e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.340016932934324 y[1] (closed_form) = 1.391150984160679 y[1] (numeric) = 1.391150984161185 absolute error = 5.058176100192213e-13 relative error = 3.635964864909293e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.350021480408228 y[1] (closed_form) = 1.405456718698991 y[1] (numeric) = 1.405456718699513 absolute error = 5.220268661787486e-13 relative error = 3.714286318699167e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.360026027882132 y[1] (closed_form) = 1.419621780884156 y[1] (numeric) = 1.419621780884694 absolute error = 5.380140777333509e-13 relative error = 3.789840963120965e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.370030575356036 y[1] (closed_form) = 1.433644752933182 y[1] (numeric) = 1.433644752933736 absolute error = 5.537792446830281e-13 relative error = 3.86273687083231e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.38003512282994 y[1] (closed_form) = 1.447524231284901 y[1] (numeric) = 1.447524231285471 absolute error = 5.693223670277803e-13 relative error = 3.933076591902152e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.390039670303844 y[1] (closed_form) = 1.461258826740446 y[1] (numeric) = 1.461258826741032 absolute error = 5.855316231873076e-13 relative error = 4.007035663171475e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.400044217777748 y[1] (closed_form) = 1.474847164602299 y[1] (numeric) = 1.4748471646029 absolute error = 6.001865671123596e-13 relative error = 4.069483140473089e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.410048765251652 y[1] (closed_form) = 1.488287884811886 y[1] (numeric) = 1.488287884812501 absolute error = 6.152856002472618e-13 relative error = 4.134184028011702e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.420053312725555 y[1] (closed_form) = 1.501579642085701 y[1] (numeric) = 1.501579642086331 absolute error = 6.299405441723138e-13 relative error = 4.195185699889509e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.430057860199459 y[1] (closed_form) = 1.51472110604996 y[1] (numeric) = 1.514721106050605 absolute error = 6.443734434924409e-13 relative error = 4.254073181648711e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.440062407673363 y[1] (closed_form) = 1.527710961373758 y[1] (numeric) = 1.527710961374417 absolute error = 6.590283874174929e-13 relative error = 4.31382901661501e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.450066955147267 y[1] (closed_form) = 1.540547907900717 y[1] (numeric) = 1.54054790790139 absolute error = 6.732392421326949e-13 relative error = 4.370128567115505e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.460071502621171 y[1] (closed_form) = 1.553230660779122 y[1] (numeric) = 1.553230660779809 absolute error = 6.867839630331218e-13 relative error = 4.421648248230056e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.470076050095075 y[1] (closed_form) = 1.565757950590522 y[1] (numeric) = 1.565757950591223 absolute error = 7.007727731433988e-13 relative error = 4.475613698011904e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.480080597568979 y[1] (closed_form) = 1.578128523476785 y[1] (numeric) = 1.578128523477498 absolute error = 7.129852264142755e-13 relative error = 4.517916100036601e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.490085145042883 y[1] (closed_form) = 1.590341141265596 y[1] (numeric) = 1.590341141266323 absolute error = 7.269740365245525e-13 relative error = 4.571182984966518e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.500089692516787 y[1] (closed_form) = 1.602394581594388 y[1] (numeric) = 1.602394581595129 absolute error = 7.405187574249794e-13 relative error = 4.621325895199675e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.51009423999069 y[1] (closed_form) = 1.614287638032688 y[1] (numeric) = 1.614287638033442 absolute error = 7.538414337204813e-13 relative error = 4.669808626170106e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.520098787464594 y[1] (closed_form) = 1.626019120202868 y[1] (numeric) = 1.626019120203635 absolute error = 7.671641100159832e-13 relative error = 4.718050977901594e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.530103334938498 y[1] (closed_form) = 1.63758785389929 y[1] (numeric) = 1.63758785390007 absolute error = 7.7982065249671e-13 relative error = 4.762008039079338e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.540107882412402 y[1] (closed_form) = 1.648992681205832 y[1] (numeric) = 1.648992681206625 absolute error = 7.926992395823618e-13 relative error = 4.80717257642828e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.550112429886306 y[1] (closed_form) = 1.660232460611788 y[1] (numeric) = 1.660232460612594 absolute error = 8.057998712729386e-13 relative error = 4.853536419689115e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.56011697736021 y[1] (closed_form) = 1.671306067126114 y[1] (numeric) = 1.671306067126932 absolute error = 8.177902799388903e-13 relative error = 4.893120990969162e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.570121524834114 y[1] (closed_form) = 1.682212392390037 y[1] (numeric) = 1.682212392390867 absolute error = 8.302247778146921e-13 relative error = 4.935314836405013e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.580126072308018 y[1] (closed_form) = 1.692950344787985 y[1] (numeric) = 1.692950344788828 absolute error = 8.426592756904938e-13 relative error = 4.977460078996135e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.590130619781922 y[1] (closed_form) = 1.70351884955685 y[1] (numeric) = 1.703518849557704 absolute error = 8.542055951465954e-13 relative error = 5.014359514535497e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.600135167255825 y[1] (closed_form) = 1.713916848893559 y[1] (numeric) = 1.713916848894425 absolute error = 8.65529869997772e-13 relative error = 5.050010859958147e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.610139714729729 y[1] (closed_form) = 1.724143302060952 y[1] (numeric) = 1.72414330206183 absolute error = 8.775202786637237e-13 relative error = 5.089601761145846e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.620144262203633 y[1] (closed_form) = 1.734197185491948 y[1] (numeric) = 1.734197185492837 absolute error = 8.888445535149003e-13 relative error = 5.125394972099194e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629987446008603 y[1] (closed_form) = 1.743919515536469 y[1] (numeric) = 1.743919515537368 absolute error = 8.990586053414518e-13 relative error = 5.155390471474145e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.639991993482507 y[1] (closed_form) = 1.753628081302999 y[1] (numeric) = 1.753628081303908 absolute error = 9.092726571680032e-13 relative error = 5.185094073609872e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.649996540956411 y[1] (closed_form) = 1.763161126197588 y[1] (numeric) = 1.763161126198509 absolute error = 9.201528428093297e-13 relative error = 5.218767752631434e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.660001088430315 y[1] (closed_form) = 1.772517696056483 y[1] (numeric) = 1.772517696057414 absolute error = 9.314771176605063e-13 relative error = 5.255107577954607e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.670005635904219 y[1] (closed_form) = 1.781696854379339 y[1] (numeric) = 1.78169685438028 absolute error = 9.408029910673577e-13 relative error = 5.280376337618276e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.680010183378123 y[1] (closed_form) = 1.790697682422959 y[1] (numeric) = 1.79069768242391 absolute error = 9.512390874988341e-13 relative error = 5.312114360988789e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.690014730852027 y[1] (closed_form) = 1.799519279293245 y[1] (numeric) = 1.799519279294206 absolute error = 9.603429163007604e-13 relative error = 5.336663670966235e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.70001927832593 y[1] (closed_form) = 1.808160762035374 y[1] (numeric) = 1.808160762036344 absolute error = 9.703349235223868e-13 relative error = 5.366419534677436e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.710023825799834 y[1] (closed_form) = 1.816621265722168 y[1] (numeric) = 1.816621265723147 absolute error = 9.78994663114463e-13 relative error = 5.389096129100304e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.720028373273738 y[1] (closed_form) = 1.824899943540668 y[1] (numeric) = 1.824899943541656 absolute error = 9.878764473114643e-13 relative error = 5.413318416760909e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.730032920747642 y[1] (closed_form) = 1.832995966876892 y[1] (numeric) = 1.832995966877889 absolute error = 9.969802761133906e-13 relative error = 5.439075121436696e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.740037468221546 y[1] (closed_form) = 1.840908525398768 y[1] (numeric) = 1.840908525399775 absolute error = 1.006084104915317e-12 relative error = 5.46514990307508e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.75004201569545 y[1] (closed_form) = 1.848636827137244 y[1] (numeric) = 1.848636827138259 absolute error = 1.014965889112318e-12 relative error = 5.490347667064876e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.760046563169354 y[1] (closed_form) = 1.856180098565552 y[1] (numeric) = 1.856180098566575 absolute error = 1.022959494889619e-12 relative error = 5.51110043513643e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.770051110643258 y[1] (closed_form) = 1.863537584676634 y[1] (numeric) = 1.863537584677665 absolute error = 1.03139718987677e-12 relative error = 5.534619738059865e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.780055658117162 y[1] (closed_form) = 1.87070854905871 y[1] (numeric) = 1.870708549059749 absolute error = 1.039390795654072e-12 relative error = 5.556134311659959e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.790060205591065 y[1] (closed_form) = 1.877692273968985 y[1] (numeric) = 1.877692273970032 absolute error = 1.046718267616598e-12 relative error = 5.574493127162363e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.800064753064969 y[1] (closed_form) = 1.884488060405488 y[1] (numeric) = 1.884488060406541 absolute error = 1.053601650369274e-12 relative error = 5.590917090462057e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.810069300538873 y[1] (closed_form) = 1.891095228177034 y[1] (numeric) = 1.891095228178095 absolute error = 1.060707077726875e-12 relative error = 5.608956449799559e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.820073848012777 y[1] (closed_form) = 1.897513115971308 y[1] (numeric) = 1.897513115972375 absolute error = 1.067590460479551e-12 relative error = 5.62626129692425e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.830078395486681 y[1] (closed_form) = 1.903741081421051 y[1] (numeric) = 1.903741081422125 absolute error = 1.074473843232226e-12 relative error = 5.644012485301749e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.840082942960585 y[1] (closed_form) = 1.909778501168359 y[1] (numeric) = 1.90977850116944 absolute error = 1.081135181379977e-12 relative error = 5.661050120307478e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.850087490434489 y[1] (closed_form) = 1.915624770927073 y[1] (numeric) = 1.915624770928161 absolute error = 1.088240608737578e-12 relative error = 5.680865194757953e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.860092037908393 y[1] (closed_form) = 1.921279305543261 y[1] (numeric) = 1.921279305544356 absolute error = 1.095123991490254e-12 relative error = 5.699972868757867e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.870096585382297 y[1] (closed_form) = 1.926741539053789 y[1] (numeric) = 1.92674153905489 absolute error = 1.10111919582323e-12 relative error = 5.714929446966631e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.880101132856201 y[1] (closed_form) = 1.932010924742964 y[1] (numeric) = 1.932010924744071 absolute error = 1.106670310946356e-12 relative error = 5.728074809378151e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.890105680330104 y[1] (closed_form) = 1.937086935197262 y[1] (numeric) = 1.937086935198375 absolute error = 1.112887559884257e-12 relative error = 5.745160630960152e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.900110227804008 y[1] (closed_form) = 1.941969062358108 y[1] (numeric) = 1.941969062359227 absolute error = 1.119104808822158e-12 relative error = 5.762732427174937e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.910114775277912 y[1] (closed_form) = 1.946656817572735 y[1] (numeric) = 1.946656817573859 absolute error = 1.123989790130508e-12 relative error = 5.773949367880874e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.920119322751816 y[1] (closed_form) = 1.951149731643088 y[1] (numeric) = 1.951149731644216 absolute error = 1.128208637624084e-12 relative error = 5.782276056661246e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.93012387022572 y[1] (closed_form) = 1.95544735487279 y[1] (numeric) = 1.955447354873923 absolute error = 1.133093618932435e-12 relative error = 5.794549344981712e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.940128417699624 y[1] (closed_form) = 1.959549257112152 y[1] (numeric) = 1.959549257113288 absolute error = 1.13642428800631e-12 relative error = 5.799416798948416e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.950132965173528 y[1] (closed_form) = 1.963455027801222 y[1] (numeric) = 1.963455027802363 absolute error = 1.141087224709736e-12 relative error = 5.811629034292597e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.960137512647432 y[1] (closed_form) = 1.967164276010884 y[1] (numeric) = 1.967164276012029 absolute error = 1.145528116808237e-12 relative error = 5.823245830445829e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.970142060121336 y[1] (closed_form) = 1.970676630481982 y[1] (numeric) = 1.970676630483132 absolute error = 1.150191053511662e-12 relative error = 5.836528610126929e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.979985243926305 y[1] (closed_form) = 1.973939836958482 y[1] (numeric) = 1.973939836959635 absolute error = 1.153521722585538e-12 relative error = 5.843753193425216e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.989989791400209 y[1] (closed_form) = 1.97706055829509 y[1] (numeric) = 1.977060558296245 absolute error = 1.155298079424938e-12 relative error = 5.843513870011168e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.999994338874113 y[1] (closed_form) = 1.979983395372902 y[1] (numeric) = 1.979983395374062 absolute error = 1.159961016128364e-12 relative error = 5.858438100234176e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.009998886348017 y[1] (closed_form) = 1.982708055644759 y[1] (numeric) = 1.982708055645922 absolute error = 1.163291685202239e-12 relative error = 5.867185952517588e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.020003433821921 y[1] (closed_form) = 1.985234266399046 y[1] (numeric) = 1.985234266400212 absolute error = 1.166400309671189e-12 relative error = 5.875378686601487e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.030007981295825 y[1] (closed_form) = 1.987561774786987 y[1] (numeric) = 1.987561774788156 absolute error = 1.16906484493029e-12 relative error = 5.881904450771509e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.040012528769729 y[1] (closed_form) = 1.989690347847952 y[1] (numeric) = 1.989690347849123 absolute error = 1.171507335584465e-12 relative error = 5.887887715048559e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.050017076243633 y[1] (closed_form) = 1.991619772532776 y[1] (numeric) = 1.991619772533949 absolute error = 1.17350573702879e-12 relative error = 5.892217747649814e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.060021623717537 y[1] (closed_form) = 1.99334985572508 y[1] (numeric) = 1.993349855726255 absolute error = 1.175060049263266e-12 relative error = 5.894901218109744e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.070026171191441 y[1] (closed_form) = 1.994880424260604 y[1] (numeric) = 1.994880424261781 absolute error = 1.177058450707591e-12 relative error = 5.900396015685319e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.080030718665344 y[1] (closed_form) = 1.996211324944537 y[1] (numeric) = 1.996211324945715 absolute error = 1.178390718337141e-12 relative error = 5.903136123976663e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.090035266139248 y[1] (closed_form) = 1.997342424566847 y[1] (numeric) = 1.997342424568027 absolute error = 1.179945030571616e-12 relative error = 5.907575066040589e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.100039813613152 y[1] (closed_form) = 1.998273609915623 y[1] (numeric) = 1.998273609916803 absolute error = 1.180389119781466e-12 relative error = 5.907044530460012e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.110044361087056 y[1] (closed_form) = 1.999004787788395 y[1] (numeric) = 1.999004787789576 absolute error = 1.181055253596242e-12 relative error = 5.908216232452879e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.12004890856096 y[1] (closed_form) = 1.999535885001471 y[1] (numeric) = 1.999535885002654 absolute error = 1.182831610435642e-12 relative error = 5.915530795461425e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.130053456034864 y[1] (closed_form) = 1.99986684839726 y[1] (numeric) = 1.999866848398443 absolute error = 1.182387521225792e-12 relative error = 5.912331224318182e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.140058003508768 y[1] (closed_form) = 1.999997644849591 y[1] (numeric) = 1.999997644850772 absolute error = 1.181277298201167e-12 relative error = 5.906393446228303e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.150062550982672 y[1] (closed_form) = 1.999928261267029 y[1] (numeric) = 1.999928261268209 absolute error = 1.180611164386391e-12 relative error = 5.903267568399831e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.160067098456576 y[1] (closed_form) = 1.999658704594185 y[1] (numeric) = 1.999658704595366 absolute error = 1.180389119781466e-12 relative error = 5.902952924264227e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.170071645930479 y[1] (closed_form) = 1.999189001811025 y[1] (numeric) = 1.999189001812205 absolute error = 1.179500941361766e-12 relative error = 5.899897109744402e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.180076193404383 y[1] (closed_form) = 1.998519199930163 y[1] (numeric) = 1.998519199931341 absolute error = 1.178168673732216e-12 relative error = 5.895208181004148e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.190080740878287 y[1] (closed_form) = 1.99764936599216 y[1] (numeric) = 1.997649365993337 absolute error = 1.176836406102666e-12 relative error = 5.891105947505327e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.200085288352191 y[1] (closed_form) = 1.996579587058812 y[1] (numeric) = 1.996579587059988 absolute error = 1.175726183078041e-12 relative error = 5.88870181133134e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.210089835826095 y[1] (closed_form) = 1.995309970204438 y[1] (numeric) = 1.995309970205612 absolute error = 1.173283692423865e-12 relative error = 5.880207636629268e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.220094383299999 y[1] (closed_form) = 1.993840642505161 y[1] (numeric) = 1.993840642506333 absolute error = 1.172395514004165e-12 relative error = 5.880086346976602e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.230098930773903 y[1] (closed_form) = 1.992171751026188 y[1] (numeric) = 1.992171751027358 absolute error = 1.17039711255984e-12 relative error = 5.874980969672702e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.240103478247807 y[1] (closed_form) = 1.990303462807094 y[1] (numeric) = 1.990303462808261 absolute error = 1.167510532695815e-12 relative error = 5.865992571048313e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.250108025721711 y[1] (closed_form) = 1.988235964845099 y[1] (numeric) = 1.988235964846264 absolute error = 1.165290086646564e-12 relative error = 5.860924494127389e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.260112573195614 y[1] (closed_form) = 1.985969464076354 y[1] (numeric) = 1.985969464077518 absolute error = 1.163291685202239e-12 relative error = 5.857550713868953e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.270117120669518 y[1] (closed_form) = 1.983504187355228 y[1] (numeric) = 1.983504187356389 absolute error = 1.161293283757914e-12 relative error = 5.8547558969682e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.280121668143422 y[1] (closed_form) = 1.980840381431602 y[1] (numeric) = 1.98084038143276 absolute error = 1.158184659288963e-12 relative error = 5.846935826560215e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.290126215617326 y[1] (closed_form) = 1.977978312926169 y[1] (numeric) = 1.977978312927324 absolute error = 1.154853990215088e-12 relative error = 5.838557393011185e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.30013076309123 y[1] (closed_form) = 1.974918268303756 y[1] (numeric) = 1.974918268304907 absolute error = 1.151301276536287e-12 relative error = 5.829614799832361e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.310135310565134 y[1] (closed_form) = 1.971660553844641 y[1] (numeric) = 1.971660553845789 absolute error = 1.147526518252562e-12 relative error = 5.820101822369685e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.320139858039038 y[1] (closed_form) = 1.968205495613906 y[1] (numeric) = 1.968205495615049 absolute error = 1.142863581549136e-12 relative error = 5.806627326750064e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.330144405512942 y[1] (closed_form) = 1.964553439428798 y[1] (numeric) = 1.964553439429937 absolute error = 1.139310867870336e-12 relative error = 5.799337625560317e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.339987589317912 y[1] (closed_form) = 1.960768384620537 y[1] (numeric) = 1.960768384621672 absolute error = 1.134869975771835e-12 relative error = 5.78788389629948e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.349992136791816 y[1] (closed_form) = 1.95672661092993 y[1] (numeric) = 1.956726610931061 absolute error = 1.130651128278259e-12 relative error = 5.778278487973953e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.359996684265719 y[1] (closed_form) = 1.95248898820807 y[1] (numeric) = 1.952488988209196 absolute error = 1.125322057760059e-12 relative error = 5.76352575894854e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.370001231739623 y[1] (closed_form) = 1.948055940599189 y[1] (numeric) = 1.948055940600309 absolute error = 1.119992987241858e-12 relative error = 5.749285551303865e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.380005779213527 y[1] (closed_form) = 1.943427911807622 y[1] (numeric) = 1.943427911808737 absolute error = 1.115330050538432e-12 relative error = 5.738983389926931e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.390010326687431 y[1] (closed_form) = 1.938605365053396 y[1] (numeric) = 1.938605365054506 absolute error = 1.110445069230082e-12 relative error = 5.72806146752563e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.400014874161335 y[1] (closed_form) = 1.933588783025869 y[1] (numeric) = 1.933588783026973 absolute error = 1.104449864897106e-12 relative error = 5.711917004238898e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.410019421635239 y[1] (closed_form) = 1.928378667835414 y[1] (numeric) = 1.928378667836514 absolute error = 1.09934283898383e-12 relative error = 5.700866003759683e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.420023969109143 y[1] (closed_form) = 1.922975540963167 y[1] (numeric) = 1.922975540964259 absolute error = 1.092681500836079e-12 relative error = 5.682243364826077e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.430028516583047 y[1] (closed_form) = 1.917379943208826 y[1] (numeric) = 1.917379943209913 absolute error = 1.087130385712953e-12 relative error = 5.669874609690499e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.440033064056951 y[1] (closed_form) = 1.911592434636529 y[1] (numeric) = 1.911592434637609 absolute error = 1.080247002960277e-12 relative error = 5.651032005500043e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.450037611530854 y[1] (closed_form) = 1.905613594518791 y[1] (numeric) = 1.905613594519865 absolute error = 1.074029754022376e-12 relative error = 5.636136082948089e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.460042159004758 y[1] (closed_form) = 1.899444021278528 y[1] (numeric) = 1.899444021279596 absolute error = 1.067812505084476e-12 relative error = 5.621710843395764e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.470046706478662 y[1] (closed_form) = 1.893084332429162 y[1] (numeric) = 1.893084332430223 absolute error = 1.0609291223318e-12 relative error = 5.604235924188544e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.480051253952566 y[1] (closed_form) = 1.886535164512809 y[1] (numeric) = 1.886535164513863 absolute error = 1.054267784184049e-12 relative error = 5.588381303543364e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.49005580142647 y[1] (closed_form) = 1.879797173036573 y[1] (numeric) = 1.87979717303762 absolute error = 1.047384401431373e-12 relative error = 5.571794747086766e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.500060348900374 y[1] (closed_form) = 1.872871032406931 y[1] (numeric) = 1.872871032407971 absolute error = 1.039390795654072e-12 relative error = 5.549719001838008e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.510064896374278 y[1] (closed_form) = 1.865757435862238 y[1] (numeric) = 1.865757435863268 absolute error = 1.03050901145707e-12 relative error = 5.523274310204384e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.520069443848182 y[1] (closed_form) = 1.858457095403333 y[1] (numeric) = 1.858457095404356 absolute error = 1.022515405679769e-12 relative error = 5.501958631215304e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.530073991322086 y[1] (closed_form) = 1.850970741722281 y[1] (numeric) = 1.850970741723296 absolute error = 1.015187933717243e-12 relative error = 5.484624423466773e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.540078538795989 y[1] (closed_form) = 1.843299124129235 y[1] (numeric) = 1.843299124130242 absolute error = 1.006750238730092e-12 relative error = 5.461675891620008e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.550083086269893 y[1] (closed_form) = 1.835443010477438 y[1] (numeric) = 1.835443010478435 absolute error = 9.974243653232406e-13 relative error = 5.434243175241869e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.560087633743797 y[1] (closed_form) = 1.827403187086367 y[1] (numeric) = 1.827403187087357 absolute error = 9.894307595459395e-13 relative error = 5.414408634820755e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.570092181217701 y[1] (closed_form) = 1.819180458663035 y[1] (numeric) = 1.819180458664015 absolute error = 9.798828415341632e-13 relative error = 5.386397137611655e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.580096728691605 y[1] (closed_form) = 1.810775648221442 y[1] (numeric) = 1.810775648222412 absolute error = 9.698908343125368e-13 relative error = 5.356217570438231e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.590101276165509 y[1] (closed_form) = 1.802189597000202 y[1] (numeric) = 1.802189597001162 absolute error = 9.598988270909103e-13 relative error = 5.326292132019241e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.600105823639413 y[1] (closed_form) = 1.793423164378344 y[1] (numeric) = 1.793423164379294 absolute error = 9.50128864474209e-13 relative error = 5.297850966498211e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.610110371113317 y[1] (closed_form) = 1.784477227789294 y[1] (numeric) = 1.784477227790234 absolute error = 9.401368572525826e-13 relative error = 5.268416108718151e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.620114918587221 y[1] (closed_form) = 1.775352682633057 y[1] (numeric) = 1.775352682633987 absolute error = 9.294787162161811e-13 relative error = 5.235459552958539e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.630119466061124 y[1] (closed_form) = 1.766050442186592 y[1] (numeric) = 1.766050442187511 absolute error = 9.190426197847046e-13 relative error = 5.203943204741164e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.640124013535028 y[1] (closed_form) = 1.756571437512404 y[1] (numeric) = 1.756571437513313 absolute error = 9.090506125630782e-13 relative error = 5.175141717267384e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.650128561008932 y[1] (closed_form) = 1.746916617365354 y[1] (numeric) = 1.746916617366252 absolute error = 8.981704269217516e-13 relative error = 5.141461349634105e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.660133108482836 y[1] (closed_form) = 1.737086948097695 y[1] (numeric) = 1.737086948098583 absolute error = 8.875122858853501e-13 relative error = 5.10919897738726e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.67013765595674 y[1] (closed_form) = 1.727083413562356 y[1] (numeric) = 1.727083413563234 absolute error = 8.779643678735738e-13 relative error = 5.083508769635202e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.680142203430644 y[1] (closed_form) = 1.716907015014462 y[1] (numeric) = 1.716907015015328 absolute error = 8.666400930223972e-13 relative error = 5.047682171740077e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.689985387235614 y[1] (closed_form) = 1.706727036258741 y[1] (numeric) = 1.706727036259596 absolute error = 8.546496843564455e-13 relative error = 5.007535863672109e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.699989934709518 y[1] (closed_form) = 1.696210729244227 y[1] (numeric) = 1.696210729245071 absolute error = 8.433254095052689e-13 relative error = 4.971819803787147e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.709994482183422 y[1] (closed_form) = 1.685524648268309 y[1] (numeric) = 1.685524648269141 absolute error = 8.315570454442422e-13 relative error = 4.933520529044623e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.719999029657326 y[1] (closed_form) = 1.674669862902277 y[1] (numeric) = 1.674669862903097 absolute error = 8.195666367782906e-13 relative error = 4.893899716795197e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.730003577131229 y[1] (closed_form) = 1.663647459603067 y[1] (numeric) = 1.663647459603875 absolute error = 8.073541835074138e-13 relative error = 4.852916276505132e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.740008124605133 y[1] (closed_form) = 1.652458541604517 y[1] (numeric) = 1.652458541605312 absolute error = 7.946976410266871e-13 relative error = 4.809183534825904e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.750012672079037 y[1] (closed_form) = 1.641104228806944 y[1] (numeric) = 1.641104228807725 absolute error = 7.813749647311852e-13 relative error = 4.761275676556096e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.760017219552941 y[1] (closed_form) = 1.629585657665051 y[1] (numeric) = 1.629585657665819 absolute error = 7.682743330406083e-13 relative error = 4.714537891438177e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.770021767026845 y[1] (closed_form) = 1.617903981074182 y[1] (numeric) = 1.617903981074938 absolute error = 7.562839243746566e-13 relative error = 4.674467293618585e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.780026314500749 y[1] (closed_form) = 1.606060368254929 y[1] (numeric) = 1.606060368255672 absolute error = 7.431832926840798e-13 relative error = 4.627368356592899e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.790030861974653 y[1] (closed_form) = 1.594056004636101 y[1] (numeric) = 1.594056004636832 absolute error = 7.30304705598428e-13 relative error = 4.581424388317808e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.800035409448557 y[1] (closed_form) = 1.581892091736077 y[1] (numeric) = 1.581892091736794 absolute error = 7.16315895488151e-13 relative error = 4.528222242403504e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.810039956922461 y[1] (closed_form) = 1.569569847042546 y[1] (numeric) = 1.56956984704325 absolute error = 7.038813976123492e-13 relative error = 4.484549693271914e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.820044504396364 y[1] (closed_form) = 1.557090503890644 y[1] (numeric) = 1.557090503891335 absolute error = 6.905587213168474e-13 relative error = 4.434929887449534e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.830049051870268 y[1] (closed_form) = 1.544455311339519 y[1] (numeric) = 1.544455311340196 absolute error = 6.770140004164205e-13 relative error = 4.383513044668419e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.840053599344172 y[1] (closed_form) = 1.5316655340473 y[1] (numeric) = 1.531665534047963 absolute error = 6.628031457012185e-13 relative error = 4.327336033669281e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.850058146818076 y[1] (closed_form) = 1.518722452144529 y[1] (numeric) = 1.518722452145178 absolute error = 6.492584248007915e-13 relative error = 4.275030133939213e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.86006269429198 y[1] (closed_form) = 1.505627361106024 y[1] (numeric) = 1.50562736110666 absolute error = 6.361577931102147e-13 relative error = 4.225200800302256e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.870067241765884 y[1] (closed_form) = 1.492381571621219 y[1] (numeric) = 1.49238157162184 absolute error = 6.210587599753126e-13 relative error = 4.16152793484737e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.880071789239788 y[1] (closed_form) = 1.478986409462977 y[1] (numeric) = 1.478986409463582 absolute error = 6.055156376305604e-13 relative error = 4.094125772598712e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.890076336713692 y[1] (closed_form) = 1.465443215354889 y[1] (numeric) = 1.46544321535548 absolute error = 5.910827383104333e-13 relative error = 4.033474187993629e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.900080884187596 y[1] (closed_form) = 1.451753344837087 y[1] (numeric) = 1.451753344837663 absolute error = 5.762057497804562e-13 relative error = 3.969033388692602e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.910085431661499 y[1] (closed_form) = 1.437918168130563 y[1] (numeric) = 1.437918168131124 absolute error = 5.608846720406291e-13 relative error = 3.900671710475951e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.920089979135403 y[1] (closed_form) = 1.423939070000026 y[1] (numeric) = 1.423939070000572 absolute error = 5.455635943008019e-13 relative error = 3.831368952470641e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.930094526609307 y[1] (closed_form) = 1.4098174496153 y[1] (numeric) = 1.409817449615829 absolute error = 5.297984273511247e-13 relative error = 3.757922186987345e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.940099074083211 y[1] (closed_form) = 1.395554720411278 y[1] (numeric) = 1.395554720411793 absolute error = 5.146993942162226e-13 relative error = 3.688134808963547e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.950103621557115 y[1] (closed_form) = 1.381152309946458 y[1] (numeric) = 1.381152309946957 absolute error = 4.991562718714704e-13 relative error = 3.614056670482785e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.960108169031019 y[1] (closed_form) = 1.366611659760051 y[1] (numeric) = 1.366611659760534 absolute error = 4.82502926502093e-13 relative error = 3.530651323337974e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.970112716504923 y[1] (closed_form) = 1.351934225227703 y[1] (numeric) = 1.351934225228169 absolute error = 4.667377595524158e-13 relative error = 3.452370321298763e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.980117263978827 y[1] (closed_form) = 1.337121475415821 y[1] (numeric) = 1.33712147541627 absolute error = 4.494182803682634e-13 relative error = 3.361087893891633e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.990121811452731 y[1] (closed_form) = 1.322174892934538 y[1] (numeric) = 1.322174892934971 absolute error = 4.334310688136611e-13 relative error = 3.278167443126003e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.000126358926635 y[1] (closed_form) = 1.307095973789317 y[1] (numeric) = 1.307095973789735 absolute error = 4.178879464689089e-13 relative error = 3.197071637038534e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.010130906400566 y[1] (closed_form) = 1.291886227231175 y[1] (numeric) = 1.291886227231618 absolute error = 4.432010314303625e-13 relative error = 3.430650641583583e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.020135453874498 y[1] (closed_form) = 1.276547175605743 y[1] (numeric) = 1.276547175606212 absolute error = 4.687361609967411e-13 relative error = 3.671906294997033e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.030140001348429 y[1] (closed_form) = 1.261080354200774 y[1] (numeric) = 1.261080354201269 absolute error = 4.942712905631197e-13 relative error = 3.919427409337214e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.040144548822361 y[1] (closed_form) = 1.245487311092516 y[1] (numeric) = 1.245487311093036 absolute error = 5.195843755245733e-13 relative error = 4.171735600170863e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.049987732627358 y[1] (closed_form) = 1.230024099224865 y[1] (numeric) = 1.23002409922541 absolute error = 5.446754158811018e-13 relative error = 4.428168653153581e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.059992280101289 y[1] (closed_form) = 1.214185280056729 y[1] (numeric) = 1.2141852800573 absolute error = 5.708766792622555e-13 relative error = 4.701726240953793e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.069996827575221 y[1] (closed_form) = 1.198224932919621 y[1] (numeric) = 1.198224932920218 absolute error = 5.975220318532593e-13 relative error = 4.986726744179193e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.080001375049152 y[1] (closed_form) = 1.182144655286843 y[1] (numeric) = 1.182144655287467 absolute error = 6.23945339839338e-13 relative error = 5.278079438492576e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.090005922523083 y[1] (closed_form) = 1.165946056635561 y[1] (numeric) = 1.165946056636211 absolute error = 6.501466032204917e-13 relative error = 5.576129354530743e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.100010469997015 y[1] (closed_form) = 1.149630758285705 y[1] (numeric) = 1.149630758286383 absolute error = 6.774580896262705e-13 relative error = 5.892831978821405e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.110015017470946 y[1] (closed_form) = 1.133200393237695 y[1] (numeric) = 1.1332003932384 absolute error = 7.043254868221993e-13 relative error = 6.215365711353606e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.120019564944878 y[1] (closed_form) = 1.116656606008992 y[1] (numeric) = 1.116656606009723 absolute error = 7.311928840181281e-13 relative error = 6.548054971272343e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.130024112418809 y[1] (closed_form) = 1.100001052469498 y[1] (numeric) = 1.100001052470255 absolute error = 7.576161920042068e-13 relative error = 6.887413337499648e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.14002865989274 y[1] (closed_form) = 1.083235399675819 y[1] (numeric) = 1.083235399676605 absolute error = 7.853717676198357e-13 relative error = 7.250240971213408e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.150033207366672 y[1] (closed_form) = 1.066361325704415 y[1] (numeric) = 1.066361325705228 absolute error = 8.129052986305396e-13 relative error = 7.623169361412769e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.160037754840603 y[1] (closed_form) = 1.04938051948363 y[1] (numeric) = 1.049380519484471 absolute error = 8.406608742461685e-13 relative error = 8.011020393820858e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.170042302314535 y[1] (closed_form) = 1.032294680624657 y[1] (numeric) = 1.032294680625526 absolute error = 8.684164498617974e-13 relative error = 8.412485951553149e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.180046849788466 y[1] (closed_form) = 1.015105519251421 y[1] (numeric) = 1.015105519252318 absolute error = 8.970602038971265e-13 relative error = 8.837112860529558e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.190051397262398 y[1] (closed_form) = 0.9978147558294075 y[1] (numeric) = 0.9978147558303331 absolute error = 9.25592935629993e-13 relative error = 9.276200118534207e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.200055944736329 y[1] (closed_form) = 0.9804241209934682 y[1] (numeric) = 0.9804241209944226 absolute error = 9.543477119677846e-13 relative error = 9.734029299490712e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.21006049221026 y[1] (closed_form) = 0.9629353553745967 y[1] (numeric) = 0.9629353553755801 absolute error = 9.833245329105011e-13 relative error = 1.021173983717705e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.220065039684192 y[1] (closed_form) = 0.9453502094257104 y[1] (numeric) = 0.945350209426723 absolute error = 1.012634420760605e-12 relative error = 1.071173847177513e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.230069587158123 y[1] (closed_form) = 0.9276704432464465 y[1] (numeric) = 0.9276704432474883 absolute error = 1.041722264005784e-12 relative error = 1.122944329626592e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.240074134632055 y[1] (closed_form) = 0.9098978264069945 y[1] (numeric) = 0.9098978264080655 absolute error = 1.071032151855889e-12 relative error = 1.177090570800879e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.250078682105986 y[1] (closed_form) = 0.8920341377709783 y[1] (numeric) = 0.8920341377720785 absolute error = 1.10023101740353e-12 relative error = 1.233395641284308e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.260083229579918 y[1] (closed_form) = 0.8740811653174109 y[1] (numeric) = 0.8740811653185405 absolute error = 1.129651927556097e-12 relative error = 1.292387906729324e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.270087777053849 y[1] (closed_form) = 0.8560407059617342 y[1] (numeric) = 0.8560407059628931 absolute error = 1.158850793103738e-12 relative error = 1.353733280477366e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.28009232452778 y[1] (closed_form) = 0.8379145653759664 y[1] (numeric) = 0.8379145653771551 absolute error = 1.188715792466155e-12 relative error = 1.418659898736558e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.290096872001712 y[1] (closed_form) = 0.8197045578079712 y[1] (numeric) = 0.8197045578091898 absolute error = 1.218580791828572e-12 relative error = 1.486609754967403e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.300101419475643 y[1] (closed_form) = 0.8014125058998702 y[1] (numeric) = 0.8014125059011189 absolute error = 1.248667835795914e-12 relative error = 1.558083791559804e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.310105966949575 y[1] (closed_form) = 0.7830402405056139 y[1] (numeric) = 0.7830402405068932 absolute error = 1.279309991275568e-12 relative error = 1.633772985216583e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.320110514423506 y[1] (closed_form) = 0.7645896005077317 y[1] (numeric) = 0.7645896005090417 absolute error = 1.309952146755222e-12 relative error = 1.713274867831498e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.330115061897438 y[1] (closed_form) = 0.7460624326332775 y[1] (numeric) = 0.7460624326346182 absolute error = 1.340705324537339e-12 relative error = 1.797041729879401e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.340119609371369 y[1] (closed_form) = 0.7274605912689909 y[1] (numeric) = 0.7274605912703624 absolute error = 1.371569524621918e-12 relative error = 1.885421067592591e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.3501241568453 y[1] (closed_form) = 0.7087859382756908 y[1] (numeric) = 0.7087859382770931 absolute error = 1.402322702404035e-12 relative error = 1.978485501300373e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.360128704319232 y[1] (closed_form) = 0.6900403428019224 y[1] (numeric) = 0.6900403428033552 absolute error = 1.432853835581227e-12 relative error = 2.076478354530832e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.370133251793163 y[1] (closed_form) = 0.671225681096873 y[1] (numeric) = 0.6712256810983376 absolute error = 1.464606214085507e-12 relative error = 2.181987750665534e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.380137799267095 y[1] (closed_form) = 0.6523438363225786 y[1] (numeric) = 0.6523438363240741 absolute error = 1.495470414170086e-12 relative error = 2.292457337529879e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.390142346741026 y[1] (closed_form) = 0.6333966983654375 y[1] (numeric) = 0.6333966983669644 absolute error = 1.526889725766978e-12 relative error = 2.41063732998185e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.399985530546023 y[1] (closed_form) = 0.6146932782173185 y[1] (numeric) = 0.6146932782188763 absolute error = 1.55786494815402e-12 relative error = 2.534377718708765e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.409990078019955 y[1] (closed_form) = 0.5956222262133513 y[1] (numeric) = 0.5956222262149401 absolute error = 1.588840170541062e-12 relative error = 2.667530022581697e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.419994625493886 y[1] (closed_form) = 0.5764915583001682 y[1] (numeric) = 0.5764915583017887 absolute error = 1.620481526742878e-12 relative error = 2.810937130668485e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.429999172967817 y[1] (closed_form) = 0.5573031892689094 y[1] (numeric) = 0.5573031892705615 absolute error = 1.652122882944695e-12 relative error = 2.964495654711774e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.440003720441749 y[1] (closed_form) = 0.5380590396860275 y[1] (numeric) = 0.5380590396877118 absolute error = 1.684319350658825e-12 relative error = 3.130361589393001e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.45000826791568 y[1] (closed_form) = 0.5187610357010584 y[1] (numeric) = 0.5187610357027748 absolute error = 1.716404796070492e-12 relative error = 3.308661749722446e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.460012815389612 y[1] (closed_form) = 0.499411108853832 y[1] (numeric) = 0.4994111088555798 absolute error = 1.747824107667384e-12 relative error = 3.499770182683178e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.470017362863543 y[1] (closed_form) = 0.4800111958811447 y[1] (numeric) = 0.4800111958829244 absolute error = 1.779687508474126e-12 relative error = 3.707595830566405e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.480021910337475 y[1] (closed_form) = 0.460563238522911 y[1] (numeric) = 0.4605632385247228 absolute error = 1.811828465037024e-12 relative error = 3.933940691505916e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.490026457811406 y[1] (closed_form) = 0.4410691833278144 y[1] (numeric) = 0.4410691833296583 absolute error = 1.843913910448691e-12 relative error = 4.180554842976289e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.500031005285337 y[1] (closed_form) = 0.4215309814584771 y[1] (numeric) = 0.4215309814603534 absolute error = 1.876332422767746e-12 relative error = 4.451232543514892e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.510035552759269 y[1] (closed_form) = 0.4019505884961679 y[1] (numeric) = 0.4019505884980766 absolute error = 1.908695423935569e-12 relative error = 4.748582235136511e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.5200401002332 y[1] (closed_form) = 0.382329964245068 y[1] (numeric) = 0.382329964247009 absolute error = 1.941058425103392e-12 relative error = 5.076919432501508e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.530044647707132 y[1] (closed_form) = 0.3626710725361134 y[1] (numeric) = 0.3626710725380869 absolute error = 1.973532448573678e-12 relative error = 5.441659393380931e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.540049195181063 y[1] (closed_form) = 0.3429758810304354 y[1] (numeric) = 0.3429758810324414 absolute error = 2.006061983195195e-12 relative error = 5.848988497873935e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.550053742654995 y[1] (closed_form) = 0.3232463610224167 y[1] (numeric) = 0.3232463610244551 absolute error = 2.03848049551425e-12 relative error = 6.306275155168365e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.560058290128926 y[1] (closed_form) = 0.3034844872423845 y[1] (numeric) = 0.3034844872444553 absolute error = 2.070787985530842e-12 relative error = 6.823373426256749e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.570062837602857 y[1] (closed_form) = 0.2836922376589596 y[1] (numeric) = 0.2836922376610632 absolute error = 2.103595075908515e-12 relative error = 7.415060395263089e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.580067385076789 y[1] (closed_form) = 0.2638715932810808 y[1] (numeric) = 0.263871593283217 absolute error = 2.136180121681264e-12 relative error = 8.095528946936573e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.59007193255072 y[1] (closed_form) = 0.2440245379597258 y[1] (numeric) = 0.2440245379618947 absolute error = 2.16890394533209e-12 relative error = 8.888056764562133e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.600076480024652 y[1] (closed_form) = 0.2241530581893473 y[1] (numeric) = 0.2241530581915489 absolute error = 2.201600013407301e-12 relative error = 9.821860255627466e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.610081027498583 y[1] (closed_form) = 0.2042591429090443 y[1] (numeric) = 0.2042591429112786 absolute error = 2.234240570331281e-12 relative error = 1.093826468921481e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.620085574972514 y[1] (closed_form) = 0.1843447833034891 y[1] (numeric) = 0.1843447833057561 absolute error = 2.267019905133338e-12 relative error = 1.229771661832771e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.630090122446446 y[1] (closed_form) = 0.1644119726036292 y[1] (numeric) = 0.1644119726059291 absolute error = 2.299938017813474e-12 relative error = 1.398887186493562e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.640094669920377 y[1] (closed_form) = 0.1444627058871847 y[1] (numeric) = 0.1444627058895174 absolute error = 2.332745108191148e-12 relative error = 1.614773234285712e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.650099217394309 y[1] (closed_form) = 0.1244989798789606 y[1] (numeric) = 0.1244989798813262 absolute error = 2.365566076356629e-12 relative error = 1.900068642053502e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.66010376486824 y[1] (closed_form) = 0.1045227927509944 y[1] (numeric) = 0.1045227927533929 absolute error = 2.398525822400188e-12 relative error = 2.294739510179583e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.670108312342172 y[1] (closed_form) = 0.08453614392255861 y[1] (numeric) = 0.08453614392499005 absolute error = 2.431443935080324e-12 relative error = 2.876218173977403e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.680112859816103 y[1] (closed_form) = 0.06454103386003901 y[1] (numeric) = 0.06454103386250332 absolute error = 2.464306536609229e-12 relative error = 3.81820121126851e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.690117407290034 y[1] (closed_form) = 0.04453946387670727 y[1] (numeric) = 0.04453946387920449 absolute error = 2.497217710395461e-12 relative error = 5.606752962514725e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.700121954763966 y[1] (closed_form) = 0.02453343593240944 y[1] (numeric) = 0.0245334359349396 absolute error = 2.53016010920426e-12 relative error = 1.031310948933101e-08 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 10 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.710126502237897 y[1] (closed_form) = 0.004524952433189492 y[1] (numeric) = 0.004524952435752612 absolute error = 2.56311985524782e-12 relative error = 5.664412815586572e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.720131049711829 y[1] (closed_form) = -0.01548398396913177 y[1] (numeric) = -0.01548398396653568 absolute error = 2.596086540185283e-12 relative error = 1.67662698783513e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.73013559718576 y[1] (closed_form) = -0.0354913705774024 y[1] (numeric) = -0.03549137057477335 absolute error = 2.629056694569698e-12 relative error = 7.407594161054001e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.740140144659692 y[1] (closed_form) = -0.05549520484958959 y[1] (numeric) = -0.05549520484692758 absolute error = 2.662009501719353e-12 relative error = 4.796827958261047e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.750144692133623 y[1] (closed_form) = -0.07549348459921428 y[1] (numeric) = -0.07549348459651931 absolute error = 2.694969247762913e-12 relative error = 3.569803754681847e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.75998787593862 y[1] (closed_form) = -0.0951618476235635 y[1] (numeric) = -0.09516184762083618 absolute error = 2.727318371142928e-12 relative error = 2.865978792185203e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.769992423412551 y[1] (closed_form) = -0.115143184209454 y[1] (numeric) = -0.1151431842066939 absolute error = 2.760180972671833e-12 relative error = 2.397172695563863e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.779996970886483 y[1] (closed_form) = -0.1351129960984569 y[1] (numeric) = -0.1351129960956639 absolute error = 2.793043574200738e-12 relative error = 2.067190910462414e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.790001518360414 y[1] (closed_form) = -0.1550692845093981 y[1] (numeric) = -0.1550692845065722 absolute error = 2.825933931305258e-12 relative error = 1.822368588496318e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.800006065834346 y[1] (closed_form) = -0.1750100520146702 y[1] (numeric) = -0.1750100520118115 absolute error = 2.8586855105317e-12 relative error = 1.633440752472933e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.810010613308277 y[1] (closed_form) = -0.1949333027401554 y[1] (numeric) = -0.1949333027372639 absolute error = 2.891437089758142e-12 relative error = 1.483295593474044e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.820015160782209 y[1] (closed_form) = -0.2148370425649928 y[1] (numeric) = -0.2148370425620685 absolute error = 2.924299691287047e-12 relative error = 1.361171079425181e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.83001970825614 y[1] (closed_form) = -0.23471927932117 y[1] (numeric) = -0.2347192793182131 absolute error = 2.956940248211026e-12 relative error = 1.259777320705301e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.840024255730071 y[1] (closed_form) = -0.25457802299292 y[1] (numeric) = -0.2545780229899304 absolute error = 2.989608560710622e-12 relative error = 1.174338823738043e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.850028803204003 y[1] (closed_form) = -0.2744112859159015 y[1] (numeric) = -0.2744112859128792 absolute error = 3.022249117634601e-12 relative error = 1.10135744145772e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.860033350677934 y[1] (closed_form) = -0.2942170829761449 y[1] (numeric) = -0.29421708297309 absolute error = 3.054834163407349e-12 relative error = 1.03829258740052e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.870037898151866 y[1] (closed_form) = -0.3139934318087424 y[1] (numeric) = -0.313993431805655 absolute error = 3.087419209180098e-12 relative error = 9.832750931747789e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.880042445625797 y[1] (closed_form) = -0.3337383529962635 y[1] (numeric) = -0.3337383529931437 absolute error = 3.119782210347921e-12 relative error = 9.347988273864497e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.890046993099729 y[1] (closed_form) = -0.3534498702668749 y[1] (numeric) = -0.3534498702637224 absolute error = 3.152422767271901e-12 relative error = 8.919009546931341e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.90005154057366 y[1] (closed_form) = -0.3731260106921456 y[1] (numeric) = -0.3731260106889608 absolute error = 3.184841279590955e-12 relative error = 8.535564898526108e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.910056088047591 y[1] (closed_form) = -0.3927648048845183 y[1] (numeric) = -0.3927648048813013 absolute error = 3.216982236153854e-12 relative error = 8.190607193278733e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.920060635521523 y[1] (closed_form) = -0.4123642871944247 y[1] (numeric) = -0.4123642871911755 absolute error = 3.249234215019214e-12 relative error = 7.879523799516714e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.930065182995454 y[1] (closed_form) = -0.4319224959070285 y[1] (numeric) = -0.4319224959037472 absolute error = 3.281319660430881e-12 relative error = 7.597010323669704e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.940069730469386 y[1] (closed_form) = -0.4514374734385733 y[1] (numeric) = -0.4514374734352597 absolute error = 3.313571639296242e-12 relative error = 7.340045597138752e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.950074277943317 y[1] (closed_form) = -0.4709072665323172 y[1] (numeric) = -0.4709072665289716 absolute error = 3.345601573556678e-12 relative error = 7.104586850385919e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.960078825417249 y[1] (closed_form) = -0.4903299264540352 y[1] (numeric) = -0.4903299264506575 absolute error = 3.377687018968345e-12 relative error = 6.888600586537886e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.97008337289118 y[1] (closed_form) = -0.5097035091870674 y[1] (numeric) = -0.5097035091836577 absolute error = 3.409716953228781e-12 relative error = 6.6896085504041e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.980087920365111 y[1] (closed_form) = -0.5290260756268967 y[1] (numeric) = -0.5290260756234549 absolute error = 3.441802398640448e-12 relative error = 6.505922027684375e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.990092467839043 y[1] (closed_form) = -0.5482956917752336 y[1] (numeric) = -0.5482956917717602 absolute error = 3.473443754842265e-12 relative error = 6.334982760116517e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000161363668934112 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sin ( x ) * 2.0 ; Iterations = 22740 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %