##############ECHO OF PROBLEM################# ##############temp/add_lin_fullpostode.ode################# diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + sin ( 0.3 * x + 0.1 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(-5.0); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=3; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=true; glob_h=c(0.001); glob_display_interval=c(0.01); /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(c(0.05) * c(x) * c(x) + c(0.2) * c(x) - cos(c(0.3) * c( x) + c(0.1)) /c( 0.3)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -5 y[1] (closed_form) = -0.3165571430008035 y[1] (numeric) = -0.3165571430008035 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 = 0.5583 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.989999999999997 y[1] (closed_form) = -0.3294040760137217 y[1] (numeric) = -0.3294040760137176 absolute error = 4.107825191113079e-15 relative error = 1.247047468514616e-12 % Desired digits = 8 Estimated correct digits = 13 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 = 0.5677 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.979999999999993 y[1] (closed_form) = -0.3422358213488466 y[1] (numeric) = -0.3422358213488381 absolute error = 8.43769498715119e-15 relative error = 2.465462251699979e-12 % Desired digits = 8 Estimated correct digits = 13 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 = 0.5771 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.96999999999999 y[1] (closed_form) = -0.3550522903855364 y[1] (numeric) = -0.3550522903855237 absolute error = 1.271205363195804e-14 relative error = 3.580332806233852e-12 % Desired digits = 8 Estimated correct digits = 13 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 = 0.5865 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.959999999999987 y[1] (closed_form) = -0.3678533945506365 y[1] (numeric) = -0.3678533945506196 absolute error = 1.693090112553364e-14 relative error = 4.602621961995523e-12 % Desired digits = 8 Estimated correct digits = 13 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 = 0.5958 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.949999999999983 y[1] (closed_form) = -0.3806390453192756 y[1] (numeric) = -0.3806390453192545 absolute error = 2.114974861910923e-14 relative error = 5.556379167925106e-12 % Desired digits = 8 Estimated correct digits = 13 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 = 0.6052 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.93999999999998 y[1] (closed_form) = -0.3934091542156635 y[1] (numeric) = -0.393409154215638 absolute error = 2.547961841514734e-14 relative error = 6.47662062311332e-12 % Desired digits = 8 Estimated correct digits = 13 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 = 0.6145 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.929999999999977 y[1] (closed_form) = -0.4061636328138858 y[1] (numeric) = -0.4061636328138561 absolute error = 2.964295475749168e-14 relative error = 7.298278910922292e-12 % Desired digits = 8 Estimated correct digits = 13 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 = 0.6238 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.919999999999973 y[1] (closed_form) = -0.4189023927387019 y[1] (numeric) = -0.418902392738668 absolute error = 3.386180225106727e-14 relative error = 8.083458781336969e-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 = 0.633 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.90999999999997 y[1] (closed_form) = -0.4316253456663388 y[1] (numeric) = -0.4316253456663005 absolute error = 3.83026943495679e-14 relative error = 8.874060509684988e-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 = 0.6423 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.899999999999967 y[1] (closed_form) = -0.4443324033252859 y[1] (numeric) = -0.4443324033252434 absolute error = 4.246603069191224e-14 relative error = 9.557266220988119e-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 = 0.6515 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.889999999999963 y[1] (closed_form) = -0.4570234774970908 y[1] (numeric) = -0.457023477497044 absolute error = 4.679590048795035e-14 relative error = 1.023927714703633e-11 % Desired digits = 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 = 0.6607 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.87999999999996 y[1] (closed_form) = -0.4696984800171519 y[1] (numeric) = -0.4696984800171009 absolute error = 5.095923683029469e-14 relative error = 1.084935101949528e-11 % Desired digits = 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 = 0.6698 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.869999999999957 y[1] (closed_form) = -0.4823573227755126 y[1] (numeric) = -0.4823573227754575 absolute error = 5.512257317263902e-14 relative error = 1.142774672839224e-11 % Desired digits = 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 = 0.679 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.859999999999953 y[1] (closed_form) = -0.4949999177176544 y[1] (numeric) = -0.4949999177175949 absolute error = 5.950795411990839e-14 relative error = 1.20218109114619e-11 % Desired digits = 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 = 0.6881 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.84999999999995 y[1] (closed_form) = -0.5076261768452884 y[1] (numeric) = -0.5076261768452247 absolute error = 6.372680161348399e-14 relative error = 1.255388404308123e-11 % Desired digits = 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 = 0.6972 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.839999999999947 y[1] (closed_form) = -0.5202360122171487 y[1] (numeric) = -0.5202360122170806 absolute error = 6.80566714095221e-14 relative error = 1.308188395483759e-11 % Desired digits = 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 = 0.7063 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.829999999999943 y[1] (closed_form) = -0.5328293359497827 y[1] (numeric) = -0.5328293359497104 absolute error = 7.227551890309769e-14 relative error = 1.356447815964649e-11 % Desired digits = 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 = 0.7153 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.81999999999994 y[1] (closed_form) = -0.5454060602183427 y[1] (numeric) = -0.5454060602182663 absolute error = 7.638334409421077e-14 relative error = 1.400485797015754e-11 % Desired digits = 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 = 0.7243 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.809999999999937 y[1] (closed_form) = -0.5579660972573762 y[1] (numeric) = -0.5579660972572957 absolute error = 8.049116928532385e-14 relative error = 1.442581721021577e-11 % Desired digits = 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 = 0.7333 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.799999999999933 y[1] (closed_form) = -0.5705093593616156 y[1] (numeric) = -0.5705093593615309 absolute error = 8.471001677889944e-14 relative error = 1.484813796458793e-11 % Desired digits = 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 = 0.7423 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.78999999999993 y[1] (closed_form) = -0.5830357588867675 y[1] (numeric) = -0.5830357588866786 absolute error = 8.892886427247504e-14 relative error = 1.525272899937962e-11 % Desired digits = 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 = 0.7512 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.779999999999927 y[1] (closed_form) = -0.5955452082503023 y[1] (numeric) = -0.5955452082502091 absolute error = 9.325873406851315e-14 relative error = 1.565938786452587e-11 % Desired digits = 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 = 0.7601 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.769999999999923 y[1] (closed_form) = -0.6080376199322409 y[1] (numeric) = -0.6080376199321436 absolute error = 9.736655925962623e-14 relative error = 1.601324590252765e-11 % Desired digits = 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 = 0.769 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.75999999999992 y[1] (closed_form) = -0.620512906475944 y[1] (numeric) = -0.6205129064758427 absolute error = 1.013633621482768e-13 relative error = 1.633541560383425e-11 % Desired digits = 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 = 0.7779 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.749999999999917 y[1] (closed_form) = -0.6329709804888984 y[1] (numeric) = -0.6329709804887925 absolute error = 1.059152765492399e-13 relative error = 1.673303829307188e-11 % Desired digits = 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 = 0.7867 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.739999999999913 y[1] (closed_form) = -0.6454117546435032 y[1] (numeric) = -0.6454117546433932 absolute error = 1.10023101740353e-13 relative error = 1.704696280301323e-11 % Desired digits = 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 = 0.7955 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.72999999999991 y[1] (closed_form) = -0.6578351416778564 y[1] (numeric) = -0.6578351416777423 absolute error = 1.141309269314661e-13 relative error = 1.734947248947006e-11 % Desired digits = 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 = 0.8043 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.719999999999906 y[1] (closed_form) = -0.6702410543965402 y[1] (numeric) = -0.670241054396422 absolute error = 1.182387521225792e-13 relative error = 1.764122793537869e-11 % Desired digits = 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 = 0.813 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.709999999999903 y[1] (closed_form) = -0.6826294056714055 y[1] (numeric) = -0.6826294056712834 absolute error = 1.221245327087672e-13 relative error = 1.789031232673762e-11 % Desired digits = 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 = 0.8218 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.6999999999999 y[1] (closed_form) = -0.6950001084423563 y[1] (numeric) = -0.6950001084422298 absolute error = 1.264544025048053e-13 relative error = 1.819487521925956e-11 % Desired digits = 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 = 0.8304 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.689999999999896 y[1] (closed_form) = -0.7073530757181327 y[1] (numeric) = -0.7073530757180021 absolute error = 1.305622276959184e-13 relative error = 1.845785820092271e-11 % Desired digits = 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 = 0.8391 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.679999999999893 y[1] (closed_form) = -0.7196882205770945 y[1] (numeric) = -0.7196882205769597 absolute error = 1.34781075189494e-13 relative error = 1.872770337708424e-11 % Desired digits = 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 = 0.8477 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.66999999999989 y[1] (closed_form) = -0.7320054561680028 y[1] (numeric) = -0.7320054561678641 absolute error = 1.387778780781446e-13 relative error = 1.895858520025752e-11 % Desired digits = 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 = 0.8563 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.659999999999886 y[1] (closed_form) = -0.7443046957108028 y[1] (numeric) = -0.7443046957106599 absolute error = 1.428857032692576e-13 relative error = 1.919720567298093e-11 % Desired digits = 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 = 0.8649 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.649999999999883 y[1] (closed_form) = -0.7565858524974034 y[1] (numeric) = -0.7565858524972564 absolute error = 1.469935284603707e-13 relative error = 1.942853252874897e-11 % Desired digits = 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 = 0.8734 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.63999999999988 y[1] (closed_form) = -0.7688488398924586 y[1] (numeric) = -0.7688488398923076 absolute error = 1.509903313490213e-13 relative error = 1.963849374737183e-11 % Desired digits = 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 = 0.8819 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.629999999999876 y[1] (closed_form) = -0.7810935713341467 y[1] (numeric) = -0.7810935713339917 absolute error = 1.549871342376719e-13 relative error = 1.984232618544615e-11 % Desired digits = 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 = 0.8904 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.619999999999873 y[1] (closed_form) = -0.7933199603349496 y[1] (numeric) = -0.7933199603347905 absolute error = 1.590949594287849e-13 relative error = 2.005432453276646e-11 % Desired digits = 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 = 0.8988 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.60999999999987 y[1] (closed_form) = -0.8055279204824312 y[1] (numeric) = -0.8055279204822681 absolute error = 1.630917623174355e-13 relative error = 2.024656851369717e-11 % Desired digits = 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 = 0.9072 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.599999999999866 y[1] (closed_form) = -0.8177173654400147 y[1] (numeric) = -0.8177173654398474 absolute error = 1.673106098110111e-13 relative error = 2.046068933866667e-11 % Desired digits = 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 = 0.9156 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.589999999999863 y[1] (closed_form) = -0.8298882089477605 y[1] (numeric) = -0.8298882089475891 absolute error = 1.714184350021242e-13 relative error = 2.065560555673765e-11 % Desired digits = 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 = 0.9239 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.57999999999986 y[1] (closed_form) = -0.8420403648231414 y[1] (numeric) = -0.842040364822966 absolute error = 1.754152378907747e-13 relative error = 2.083216496724812e-11 % Desired digits = 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 = 0.9322 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.569999999999856 y[1] (closed_form) = -0.854173746961819 y[1] (numeric) = -0.8541737469616395 absolute error = 1.795230630818878e-13 relative error = 2.101716000057683e-11 % Desired digits = 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 = 0.9405 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.559999999999853 y[1] (closed_form) = -0.8662882693384188 y[1] (numeric) = -0.8662882693382356 absolute error = 1.832978213656133e-13 relative error = 2.115898689308089e-11 % Desired digits = 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 = 0.9487 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.54999999999985 y[1] (closed_form) = -0.8783838460073041 y[1] (numeric) = -0.8783838460071166 absolute error = 1.875166688591889e-13 relative error = 2.134791864758743e-11 % Desired digits = 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 = 0.957 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.539999999999846 y[1] (closed_form) = -0.8904603911033488 y[1] (numeric) = -0.8904603911031576 absolute error = 1.912914271429145e-13 relative error = 2.1482306125474e-11 % Desired digits = 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 = 0.9651 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.529999999999843 y[1] (closed_form) = -0.9025178188427119 y[1] (numeric) = -0.9025178188425163 absolute error = 1.956212969389526e-13 relative error = 2.167506201592734e-11 % Desired digits = 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 = 0.9733 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.51999999999984 y[1] (closed_form) = -0.9145560435236071 y[1] (numeric) = -0.9145560435234077 absolute error = 1.993960552226781e-13 relative error = 2.180249713887886e-11 % Desired digits = 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 = 0.9814 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.509999999999836 y[1] (closed_form) = -0.9265749795270775 y[1] (numeric) = -0.926574979526874 absolute error = 2.035038804137912e-13 relative error = 2.196302349084143e-11 % Desired digits = 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 = 0.9894 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.499999999999833 y[1] (closed_form) = -0.9385745413177629 y[1] (numeric) = -0.9385745413175554 absolute error = 2.075006833024418e-13 relative error = 2.210806645267726e-11 % Desired digits = 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 = 0.9975 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.48999999999983 y[1] (closed_form) = -0.9505546434446708 y[1] (numeric) = -0.9505546434444595 absolute error = 2.112754415861673e-13 relative error = 2.222654352836951e-11 % Desired digits = 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 = 1.005 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.479999999999826 y[1] (closed_form) = -0.9625152005419466 y[1] (numeric) = -0.9625152005417315 absolute error = 2.151612221723553e-13 relative error = 2.235405966068985e-11 % Desired digits = 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 = 1.013 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.469999999999823 y[1] (closed_form) = -0.9744561273296404 y[1] (numeric) = -0.9744561273294211 absolute error = 2.192690473634684e-13 relative error = 2.250168491057102e-11 % Desired digits = 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 = 1.021 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.45999999999982 y[1] (closed_form) = -0.9863773386144749 y[1] (numeric) = -0.9863773386142515 absolute error = 2.233768725545815e-13 relative error = 2.264618861462796e-11 % Desired digits = 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 = 1.029 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.449999999999816 y[1] (closed_form) = -0.9982787492906122 y[1] (numeric) = -0.9982787492903847 absolute error = 2.274846977456946e-13 relative error = 2.278769310749605e-11 % Desired digits = 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 = 1.037 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.439999999999813 y[1] (closed_form) = -1.01016027434042 y[1] (numeric) = -1.010160274340189 absolute error = 2.313704783318826e-13 relative error = 2.290433352103012e-11 % Desired digits = 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 = 1.045 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.42999999999981 y[1] (closed_form) = -1.022021828835237 y[1] (numeric) = -1.022021828835002 absolute error = 2.344791028008331e-13 relative error = 2.294267071262665e-11 % Desired digits = 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 = 1.053 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.419999999999806 y[1] (closed_form) = -1.033863327936135 y[1] (numeric) = -1.033863327935897 absolute error = 2.386979502944087e-13 relative error = 2.30879598728889e-11 % Desired digits = 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 = 1.06 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.409999999999803 y[1] (closed_form) = -1.045684686894688 y[1] (numeric) = -1.045684686894445 absolute error = 2.424727085781342e-13 relative error = 2.318793720678765e-11 % Desired digits = 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 = 1.068 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.3999999999998 y[1] (closed_form) = -1.057485821053727 y[1] (numeric) = -1.05748582105348 absolute error = 2.466915560717098e-13 relative error = 2.332811950385256e-11 % Desired digits = 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 = 1.076 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.389999999999796 y[1] (closed_form) = -1.069266645848108 y[1] (numeric) = -1.069266645847858 absolute error = 2.504663143554353e-13 relative error = 2.342412113273892e-11 % Desired digits = 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 = 1.083 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.379999999999793 y[1] (closed_form) = -1.081027076805472 y[1] (numeric) = -1.081027076805218 absolute error = 2.546851618490109e-13 relative error = 2.355955436395057e-11 % Desired digits = 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 = 1.091 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.36999999999979 y[1] (closed_form) = -1.092767029547004 y[1] (numeric) = -1.092767029546746 absolute error = 2.582378755278114e-13 relative error = 2.363155810391364e-11 % Desired digits = 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 = 1.098 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.359999999999786 y[1] (closed_form) = -1.104486419788191 y[1] (numeric) = -1.10448641978793 absolute error = 2.617905892066119e-13 relative error = 2.370247243572409e-11 % Desired digits = 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 = 1.106 Order of pole (three term test) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.349999999999783 y[1] (closed_form) = -1.116185163339586 y[1] (numeric) = -1.11618516333932 absolute error = 2.655653474903374e-13 relative error = 2.379223055570597e-11 % Desired digits = 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 = 1.113 Order of pole (three term test) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.33999999999978 y[1] (closed_form) = -1.127863176107558 y[1] (numeric) = -1.127863176107288 absolute error = 2.700062395888381e-13 relative error = 2.393962719136501e-11 % Desired digits = 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 = 1.121 Order of pole (three term test) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.329999999999776 y[1] (closed_form) = -1.139520374095057 y[1] (numeric) = -1.139520374094783 absolute error = 2.735589532676386e-13 relative error = 2.400649953142643e-11 % Desired digits = 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 = 1.128 Order of pole (three term test) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.319999999999773 y[1] (closed_form) = -1.151156673402363 y[1] (numeric) = -1.151156673402085 absolute error = 2.775557561562891e-13 relative error = 2.411103219650757e-11 % Desired digits = 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 = 1.136 Order of pole (three term test) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.30999999999977 y[1] (closed_form) = -1.162771990227845 y[1] (numeric) = -1.162771990227563 absolute error = 2.817746036498647e-13 relative error = 2.423300578427685e-11 % Desired digits = 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 = 1.143 Order of pole (three term test) = 32.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.299999999999766 y[1] (closed_form) = -1.174366240868714 y[1] (numeric) = -1.174366240868429 absolute error = 2.855493619335903e-13 relative error = 2.431518822632033e-11 % Desired digits = 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 = 1.15 Order of pole (three term test) = 32.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.289999999999763 y[1] (closed_form) = -1.185939341721778 y[1] (numeric) = -1.185939341721489 absolute error = 2.893241202173158e-13 relative error = 2.439619886437593e-11 % Desired digits = 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 = 1.157 Order of pole (three term test) = 32.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.27999999999976 y[1] (closed_form) = -1.197491209284192 y[1] (numeric) = -1.197491209283899 absolute error = 2.933209231059664e-13 relative error = 2.449462015519102e-11 % Desired digits = 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 = 1.165 Order of pole (three term test) = 32.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.269999999999756 y[1] (closed_form) = -1.209021760154209 y[1] (numeric) = -1.209021760153912 absolute error = 2.97539770599542e-13 relative error = 2.46099599201251e-11 % Desired digits = 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 = 1.172 Order of pole (three term test) = 32.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.259999999999753 y[1] (closed_form) = -1.220530911031935 y[1] (numeric) = -1.220530911031634 absolute error = 3.010924842783425e-13 relative error = 2.466897655412714e-11 % Desired digits = 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 = 1.179 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.24999999999975 y[1] (closed_form) = -1.232018578720074 y[1] (numeric) = -1.23201857871977 absolute error = 3.044231533522179e-13 relative error = 2.470929891889119e-11 % Desired digits = 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 = 1.186 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.239999999999746 y[1] (closed_form) = -1.24348468012468 y[1] (numeric) = -1.243484680124372 absolute error = 3.084199562408685e-13 relative error = 2.480287543308891e-11 % Desired digits = 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 = 1.193 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.229999999999743 y[1] (closed_form) = -1.254929132255901 y[1] (numeric) = -1.254929132255589 absolute error = 3.11972669919669e-13 relative error = 2.485978386356024e-11 % Desired digits = 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 = 1.2 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.21999999999974 y[1] (closed_form) = -1.266351852228731 y[1] (numeric) = -1.266351852228415 absolute error = 3.159694728083196e-13 relative error = 2.495115968379762e-11 % Desired digits = 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 = 1.207 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.209999999999736 y[1] (closed_form) = -1.277752757263752 y[1] (numeric) = -1.277752757263433 absolute error = 3.195221864871201e-13 relative error = 2.500657382038148e-11 % Desired digits = 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 = 1.214 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.199999999999733 y[1] (closed_form) = -1.289131764687881 y[1] (numeric) = -1.289131764687558 absolute error = 3.230749001659206e-13 relative error = 2.506143351794159e-11 % Desired digits = 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 = 1.22 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.189999999999729 y[1] (closed_form) = -1.300488791935113 y[1] (numeric) = -1.300488791934786 absolute error = 3.270717030545711e-13 relative error = 2.514990556496008e-11 % Desired digits = 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 = 1.227 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.179999999999726 y[1] (closed_form) = -1.311823756547265 y[1] (numeric) = -1.311823756546934 absolute error = 3.306244167333716e-13 relative error = 2.520341738615703e-11 % Desired digits = 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 = 1.234 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.169999999999723 y[1] (closed_form) = -1.323136576174716 y[1] (numeric) = -1.323136576174381 absolute error = 3.343991750170971e-13 relative error = 2.52732167667732e-11 % Desired digits = 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 = 1.241 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.159999999999719 y[1] (closed_form) = -1.334427168577152 y[1] (numeric) = -1.334427168576814 absolute error = 3.379518886958977e-13 relative error = 2.532561511440468e-11 % Desired digits = 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 = 1.247 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.149999999999716 y[1] (closed_form) = -1.345695451624303 y[1] (numeric) = -1.345695451623961 absolute error = 3.419486915845482e-13 relative error = 2.541055564777334e-11 % Desired digits = 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 = 1.254 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.139999999999713 y[1] (closed_form) = -1.356941343296683 y[1] (numeric) = -1.356941343296337 absolute error = 3.455014052633487e-13 relative error = 2.546177894646166e-11 % Desired digits = 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 = 1.26 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.129999999999709 y[1] (closed_form) = -1.368164761686328 y[1] (numeric) = -1.368164761685978 absolute error = 3.490541189421492e-13 relative error = 2.551257923876972e-11 % Desired digits = 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 = 1.267 Order of pole (three term test) = 32.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.119999999999706 y[1] (closed_form) = -1.379365624997534 y[1] (numeric) = -1.379365624997181 absolute error = 3.526068326209497e-13 relative error = 2.55629708491235e-11 % Desired digits = 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 = 1.273 Order of pole (three term test) = 32.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.109999999999703 y[1] (closed_form) = -1.390543851547593 y[1] (numeric) = -1.390543851547236 absolute error = 3.566036355096003e-13 relative error = 2.564490397859238e-11 % Desired digits = 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 = 1.28 Order of pole (three term test) = 32.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.099999999999699 y[1] (closed_form) = -1.401699359767526 y[1] (numeric) = -1.401699359767166 absolute error = 3.603783937933258e-13 relative error = 2.57101061851876e-11 % Desired digits = 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 = 1.286 Order of pole (three term test) = 32.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.089999999999696 y[1] (closed_form) = -1.412832068202822 y[1] (numeric) = -1.412832068202458 absolute error = 3.639311074721263e-13 relative error = 2.575897841383662e-11 % Desired digits = 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 = 1.293 Order of pole (three term test) = 32.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.079999999999693 y[1] (closed_form) = -1.423941895514164 y[1] (numeric) = -1.423941895513797 absolute error = 3.672617765460018e-13 relative error = 2.579190750008721e-11 % Desired digits = 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 = 1.299 Order of pole (three term test) = 32.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.069999999999689 y[1] (closed_form) = -1.435028760478169 y[1] (numeric) = -1.435028760477798 absolute error = 3.712585794346523e-13 relative error = 2.587115949585181e-11 % Desired digits = 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 = 1.305 Order of pole (three term test) = 32.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.059999999999686 y[1] (closed_form) = -1.446092581988112 y[1] (numeric) = -1.446092581987737 absolute error = 3.748112931134528e-13 relative error = 2.591890019919444e-11 % Desired digits = 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 = 1.311 Order of pole (three term test) = 32.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.049999999999683 y[1] (closed_form) = -1.45713327905466 y[1] (numeric) = -1.457133279054282 absolute error = 3.781419621873283e-13 relative error = 2.595108955528449e-11 % Desired digits = 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 = 1.317 Order of pole (three term test) = 32.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.039999999999679 y[1] (closed_form) = -1.468150770806601 y[1] (numeric) = -1.468150770806219 absolute error = 3.823608096809039e-13 relative error = 2.604370186522704e-11 % Desired digits = 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 = 1.324 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.029999999999676 y[1] (closed_form) = -1.479144976491569 y[1] (numeric) = -1.479144976491183 absolute error = 3.861355679646294e-13 relative error = 2.610532260877609e-11 % Desired digits = 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 = 1.33 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.019999999999673 y[1] (closed_form) = -1.490115815476774 y[1] (numeric) = -1.490115815476384 absolute error = 3.89910326248355e-13 relative error = 2.616644439302191e-11 % Desired digits = 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 = 1.336 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.009999999999669 y[1] (closed_form) = -1.501063207249725 y[1] (numeric) = -1.501063207249331 absolute error = 3.939071291370055e-13 relative error = 2.624187490803464e-11 % Desired digits = 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 = 1.342 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.999999999999666 y[1] (closed_form) = -1.511987071418956 y[1] (numeric) = -1.511987071418559 absolute error = 3.97459842815806e-13 relative error = 2.628725141431279e-11 % Desired digits = 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 = 1.347 Order of pole (three term test) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.989999999999668 y[1] (closed_form) = -1.522887327714745 y[1] (numeric) = -1.522887327714349 absolute error = 3.961275751862559e-13 relative error = 2.601161412122901e-11 % Desired digits = 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 = 1.353 Order of pole (three term test) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.979999999999669 y[1] (closed_form) = -1.533763895989852 y[1] (numeric) = -1.533763895989457 absolute error = 3.950173521616307e-13 relative error = 2.575476924410824e-11 % Desired digits = 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 = 1.359 Order of pole (three term test) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.96999999999967 y[1] (closed_form) = -1.54461669622022 y[1] (numeric) = -1.544616696219826 absolute error = 3.936850845320805e-13 relative error = 2.548755853121711e-11 % Desired digits = 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 = 1.365 Order of pole (three term test) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.959999999999671 y[1] (closed_form) = -1.555445648505708 y[1] (numeric) = -1.555445648505315 absolute error = 3.930189507173054e-13 relative error = 2.526728922318002e-11 % Desired digits = 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 = 1.371 Order of pole (three term test) = 32.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.949999999999672 y[1] (closed_form) = -1.566250673070806 y[1] (numeric) = -1.566250673070414 absolute error = 3.916866830877552e-13 relative error = 2.500791794201184e-11 % Desired digits = 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 = 1.376 Order of pole (three term test) = 32.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.939999999999673 y[1] (closed_form) = -1.577031690265351 y[1] (numeric) = -1.577031690264961 absolute error = 3.905764600631301e-13 relative error = 2.476655748099848e-11 % Desired digits = 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 = 1.382 Order of pole (three term test) = 32.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.929999999999674 y[1] (closed_form) = -1.587788620565249 y[1] (numeric) = -1.58778862056486 absolute error = 3.890221478286549e-13 relative error = 2.450087768547956e-11 % Desired digits = 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 = 1.387 Order of pole (three term test) = 32.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.919999999999675 y[1] (closed_form) = -1.598521384573187 y[1] (numeric) = -1.598521384572799 absolute error = 3.879119248040297e-13 relative error = 2.426692120278416e-11 % Desired digits = 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 = 1.393 Order of pole (three term test) = 32.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.909999999999676 y[1] (closed_form) = -1.609229903019348 y[1] (numeric) = -1.609229903018961 absolute error = 3.865796571744795e-13 relative error = 2.402264937092905e-11 % Desired digits = 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 = 1.398 Order of pole (three term test) = 32.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.899999999999678 y[1] (closed_form) = -1.619914096762125 y[1] (numeric) = -1.61991409676174 absolute error = 3.852473895449293e-13 relative error = 2.378196413716996e-11 % Desired digits = 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 = 1.404 Order of pole (three term test) = 32.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.889999999999679 y[1] (closed_form) = -1.630573886788834 y[1] (numeric) = -1.63057388678845 absolute error = 3.841371665203042e-13 relative error = 2.355840294221831e-11 % Desired digits = 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 = 1.409 Order of pole (three term test) = 32.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.87999999999968 y[1] (closed_form) = -1.641209194216425 y[1] (numeric) = -1.641209194216041 absolute error = 3.83248988100604e-13 relative error = 2.335162326966987e-11 % Desired digits = 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 = 1.415 Order of pole (three term test) = 32.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.869999999999681 y[1] (closed_form) = -1.651819940292188 y[1] (numeric) = -1.651819940291805 absolute error = 3.823608096809039e-13 relative error = 2.314785046203454e-11 % Desired digits = 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 = 1.42 Order of pole (three term test) = 32.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.859999999999682 y[1] (closed_form) = -1.662406046394468 y[1] (numeric) = -1.662406046394087 absolute error = 3.810285420513537e-13 relative error = 2.29203053536621e-11 % Desired digits = 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 = 1.425 Order of pole (three term test) = 32.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.849999999999683 y[1] (closed_form) = -1.67296743403337 y[1] (numeric) = -1.67296743403299 absolute error = 3.796962744218035e-13 relative error = 2.26959752292602e-11 % Desired digits = 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 = 1.43 Order of pole (three term test) = 32.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.839999999999684 y[1] (closed_form) = -1.683504024851463 y[1] (numeric) = -1.683504024851084 absolute error = 3.785860513971784e-13 relative error = 2.248798017756931e-11 % Desired digits = 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 = 1.435 Order of pole (three term test) = 32.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.829999999999685 y[1] (closed_form) = -1.694015740624489 y[1] (numeric) = -1.694015740624111 absolute error = 3.774758283725532e-13 relative error = 2.228289969923178e-11 % Desired digits = 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 = 1.44 Order of pole (three term test) = 32.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.819999999999686 y[1] (closed_form) = -1.704502503262064 y[1] (numeric) = -1.704502503261688 absolute error = 3.763656053479281e-13 relative error = 2.208067190442035e-11 % Desired digits = 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 = 1.445 Order of pole (three term test) = 32.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.809999999999687 y[1] (closed_form) = -1.714964234808383 y[1] (numeric) = -1.714964234808008 absolute error = 3.750333377183779e-13 relative error = 2.18682891518307e-11 % Desired digits = 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 = 1.45 Order of pole (three term test) = 32.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.799999999999689 y[1] (closed_form) = -1.72540085744292 y[1] (numeric) = -1.725400857442546 absolute error = 3.737010700888277e-13 relative error = 2.16587970544225e-11 % Desired digits = 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 = 1.455 Order of pole (three term test) = 32.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.78999999999969 y[1] (closed_form) = -1.73581229348113 y[1] (numeric) = -1.735812293480758 absolute error = 3.725908470642025e-13 relative error = 2.14649273117533e-11 % Desired digits = 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 = 1.46 Order of pole (three term test) = 32.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.779999999999691 y[1] (closed_form) = -1.746198465375148 y[1] (numeric) = -1.746198465374776 absolute error = 3.721467578543525e-13 relative error = 2.13118248145065e-11 % Desired digits = 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 = 1.465 Order of pole (three term test) = 32.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.769999999999692 y[1] (closed_form) = -1.756559295714482 y[1] (numeric) = -1.756559295714112 absolute error = 3.705924456198773e-13 relative error = 2.109763368216604e-11 % Desired digits = 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 = 1.47 Order of pole (three term test) = 32.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.759999999999693 y[1] (closed_form) = -1.76689470722672 y[1] (numeric) = -1.76689470722635 absolute error = 3.699263118051022e-13 relative error = 2.093652271932664e-11 % Desired digits = 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 = 1.474 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.749999999999694 y[1] (closed_form) = -1.777204622778215 y[1] (numeric) = -1.777204622777846 absolute error = 3.683719995706269e-13 relative error = 2.072760755003943e-11 % Desired digits = 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 = 1.479 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.739999999999695 y[1] (closed_form) = -1.787488965374784 y[1] (numeric) = -1.787488965374417 absolute error = 3.677058657558518e-13 relative error = 2.057108451456956e-11 % Desired digits = 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 = 1.484 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.729999999999696 y[1] (closed_form) = -1.797747658162402 y[1] (numeric) = -1.797747658162036 absolute error = 3.663735981263017e-13 relative error = 2.03795897862994e-11 % Desired digits = 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 = 1.488 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.719999999999697 y[1] (closed_form) = -1.807980624427892 y[1] (numeric) = -1.807980624427527 absolute error = 3.654854197066015e-13 relative error = 2.021511816932517e-11 % Desired digits = 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 = 1.493 Order of pole (three term test) = 32.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.709999999999698 y[1] (closed_form) = -1.818187787599614 y[1] (numeric) = -1.81818778759925 absolute error = 3.643751966819764e-13 relative error = 2.004057002071427e-11 % Desired digits = 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 = 1.497 Order of pole (three term test) = 32.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.6999999999997 y[1] (closed_form) = -1.828369071248158 y[1] (numeric) = -1.828369071247795 absolute error = 3.628208844475012e-13 relative error = 1.984396313375708e-11 % Desired digits = 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 = 1.501 Order of pole (three term test) = 32.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.689999999999701 y[1] (closed_form) = -1.838524399087027 y[1] (numeric) = -1.838524399086665 absolute error = 3.61710661422876e-13 relative error = 1.96739657957487e-11 % Desired digits = 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 = 1.506 Order of pole (three term test) = 32.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.679999999999702 y[1] (closed_form) = -1.848653694973328 y[1] (numeric) = -1.848653694972967 absolute error = 3.606004383982508e-13 relative error = 1.950611081884936e-11 % Desired digits = 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 = 1.51 Order of pole (three term test) = 32.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.669999999999703 y[1] (closed_form) = -1.858756882908456 y[1] (numeric) = -1.858756882908096 absolute error = 3.599343045834758e-13 relative error = 1.936424864882142e-11 % Desired digits = 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 = 1.514 Order of pole (three term test) = 32.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.659999999999704 y[1] (closed_form) = -1.868833887038774 y[1] (numeric) = -1.868833887038416 absolute error = 3.581579477440755e-13 relative error = 1.916478239334519e-11 % Desired digits = 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 = 1.518 Order of pole (three term test) = 32.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.649999999999705 y[1] (closed_form) = -1.878884631656305 y[1] (numeric) = -1.878884631655948 absolute error = 3.572697693243754e-13 relative error = 1.901499236860696e-11 % Desired digits = 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 = 1.522 Order of pole (three term test) = 32.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.639999999999706 y[1] (closed_form) = -1.888909041199402 y[1] (numeric) = -1.888909041199046 absolute error = 3.561595462997502e-13 relative error = 1.885530422754498e-11 % Desired digits = 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 = 1.526 Order of pole (three term test) = 32.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.629999999999707 y[1] (closed_form) = -1.898907040253436 y[1] (numeric) = -1.898907040253081 absolute error = 3.552713678800501e-13 relative error = 1.870925539528434e-11 % Desired digits = 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 = 1.53 Order of pole (three term test) = 32.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.619999999999708 y[1] (closed_form) = -1.908878553551472 y[1] (numeric) = -1.908878553551118 absolute error = 3.539391002504999e-13 relative error = 1.854172962402431e-11 % Desired digits = 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 = 1.534 Order of pole (three term test) = 32.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.609999999999709 y[1] (closed_form) = -1.918823505974947 y[1] (numeric) = -1.918823505974594 absolute error = 3.532729664357248e-13 relative error = 1.841091509123598e-11 % Desired digits = 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 = 1.538 Order of pole (three term test) = 32.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.599999999999711 y[1] (closed_form) = -1.928741822554345 y[1] (numeric) = -1.928741822553993 absolute error = 3.521627434110997e-13 relative error = 1.825867720049281e-11 % Desired digits = 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 = 1.542 Order of pole (three term test) = 32.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.589999999999712 y[1] (closed_form) = -1.938633428469873 y[1] (numeric) = -1.938633428469522 absolute error = 3.508304757815495e-13 relative error = 1.809679285570008e-11 % Desired digits = 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 = 1.546 Order of pole (three term test) = 32.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.579999999999713 y[1] (closed_form) = -1.948498249052133 y[1] (numeric) = -1.948498249051783 absolute error = 3.501643419667744e-13 relative error = 1.797098571359329e-11 % Desired digits = 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 = 1.549 Order of pole (three term test) = 32.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.569999999999714 y[1] (closed_form) = -1.958336209782798 y[1] (numeric) = -1.958336209782449 absolute error = 3.490541189421492e-13 relative error = 1.782401393583298e-11 % Desired digits = 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 = 1.553 Order of pole (three term test) = 32.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.559999999999715 y[1] (closed_form) = -1.968147236295274 y[1] (numeric) = -1.968147236294926 absolute error = 3.47721851312599e-13 relative error = 1.766747146250757e-11 % Desired digits = 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 = 1.557 Order of pole (three term test) = 32.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.549999999999716 y[1] (closed_form) = -1.977931254375381 y[1] (numeric) = -1.977931254375034 absolute error = 3.466116282879739e-13 relative error = 1.752394718073414e-11 % Desired digits = 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 = 1.56 Order of pole (three term test) = 32.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.539999999999717 y[1] (closed_form) = -1.98768818996201 y[1] (numeric) = -1.987688189961664 absolute error = 3.457234498682737e-13 relative error = 1.739324364929096e-11 % Desired digits = 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 = 1.564 Order of pole (three term test) = 32.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.529999999999718 y[1] (closed_form) = -1.997417969147796 y[1] (numeric) = -1.997417969147451 absolute error = 3.448352714485736e-13 relative error = 1.726405172952852e-11 % Desired digits = 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 = 1.567 Order of pole (three term test) = 32.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.519999999999719 y[1] (closed_form) = -2.007120518179783 y[1] (numeric) = -2.007120518179439 absolute error = 3.432809592140984e-13 relative error = 1.710315629304677e-11 % Desired digits = 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 = 1.571 Order of pole (three term test) = 32.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.50999999999972 y[1] (closed_form) = -2.016795763460084 y[1] (numeric) = -2.016795763459742 absolute error = 3.423927807943983e-13 relative error = 1.697706763360993e-11 % Desired digits = 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 = 1.574 Order of pole (three term test) = 32.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.499999999999722 y[1] (closed_form) = -2.026443631546547 y[1] (numeric) = -2.026443631546205 absolute error = 3.419486915845482e-13 relative error = 1.687432535804506e-11 % Desired digits = 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 = 1.577 Order of pole (three term test) = 32.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.489999999999723 y[1] (closed_form) = -2.036064049153414 y[1] (numeric) = -2.036064049153072 absolute error = 3.415046023746982e-13 relative error = 1.677278288552338e-11 % Desired digits = 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 = 1.58 Order of pole (three term test) = 32.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.479999999999724 y[1] (closed_form) = -2.045656943151981 y[1] (numeric) = -2.04565694315164 absolute error = 3.40616423954998e-13 relative error = 1.665071091686423e-11 % Desired digits = 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 = 1.584 Order of pole (three term test) = 32.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.469999999999725 y[1] (closed_form) = -2.055222240571257 y[1] (numeric) = -2.055222240570918 absolute error = 3.392841563254478e-13 relative error = 1.6508392602405e-11 % Desired digits = 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 = 1.587 Order of pole (three term test) = 32.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.459999999999726 y[1] (closed_form) = -2.06475986859862 y[1] (numeric) = -2.064759868598283 absolute error = 3.375077994860476e-13 relative error = 1.634610419443684e-11 % Desired digits = 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 = 1.59 Order of pole (three term test) = 32.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.449999999999727 y[1] (closed_form) = -2.074269754580472 y[1] (numeric) = -2.074269754580136 absolute error = 3.361755318564974e-13 relative error = 1.620693408435153e-11 % Desired digits = 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 = 1.593 Order of pole (three term test) = 32.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.439999999999728 y[1] (closed_form) = -2.083751826022894 y[1] (numeric) = -2.083751826022559 absolute error = 3.352873534367973e-13 relative error = 1.609056074958484e-11 % Desired digits = 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 = 1.596 Order of pole (three term test) = 32.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.429999999999729 y[1] (closed_form) = -2.093206010592298 y[1] (numeric) = -2.093206010591964 absolute error = 3.339550858072471e-13 relative error = 1.59542388143989e-11 % Desired digits = 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 = 1.598 Order of pole (three term test) = 32.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.41999999999973 y[1] (closed_form) = -2.102632236116075 y[1] (numeric) = -2.102632236115741 absolute error = 3.33066907387547e-13 relative error = 1.584047374840876e-11 % Desired digits = 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 = 1.601 Order of pole (three term test) = 32.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.409999999999731 y[1] (closed_form) = -2.11203043058325 y[1] (numeric) = -2.112030430582917 absolute error = 3.326228181776969e-13 relative error = 1.57489595491217e-11 % Desired digits = 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 = 1.604 Order of pole (three term test) = 32.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.399999999999733 y[1] (closed_form) = -2.121400522145127 y[1] (numeric) = -2.121400522144795 absolute error = 3.317346397579968e-13 relative error = 1.563752984384825e-11 % Desired digits = 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 = 1.607 Order of pole (three term test) = 32.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.389999999999734 y[1] (closed_form) = -2.130742439115935 y[1] (numeric) = -2.130742439115604 absolute error = 3.308464613382966e-13 relative error = 1.552728547874458e-11 % Desired digits = 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 = 1.609 Order of pole (three term test) = 32.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.379999999999735 y[1] (closed_form) = -2.140056109973477 y[1] (numeric) = -2.140056109973147 absolute error = 3.304023721284466e-13 relative error = 1.543895838004647e-11 % Desired digits = 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 = 1.612 Order of pole (three term test) = 32.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.369999999999736 y[1] (closed_form) = -2.149341463359767 y[1] (numeric) = -2.149341463359437 absolute error = 3.299582829185965e-13 relative error = 1.535159901502196e-11 % Desired digits = 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 = 1.614 Order of pole (three term test) = 32.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.359999999999737 y[1] (closed_form) = -2.158598428081677 y[1] (numeric) = -2.158598428081349 absolute error = 3.277378368693462e-13 relative error = 1.518289982081583e-11 % Desired digits = 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 = 1.617 Order of pole (three term test) = 32.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.349999999999738 y[1] (closed_form) = -2.167826933111581 y[1] (numeric) = -2.167826933111254 absolute error = 3.268496584496461e-13 relative error = 1.507729484569619e-11 % Desired digits = 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 = 1.619 Order of pole (three term test) = 32.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.339999999999739 y[1] (closed_form) = -2.177026907587984 y[1] (numeric) = -2.177026907587658 absolute error = 3.25961480029946e-13 relative error = 1.497278140632133e-11 % Desired digits = 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 = 1.622 Order of pole (three term test) = 32.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.32999999999974 y[1] (closed_form) = -2.186198280816169 y[1] (numeric) = -2.186198280815844 absolute error = 3.246292124003958e-13 relative error = 1.48490288026026e-11 % Desired digits = 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 = 1.624 Order of pole (three term test) = 32.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.319999999999741 y[1] (closed_form) = -2.195340982268831 y[1] (numeric) = -2.195340982268508 absolute error = 3.228528555609955e-13 relative error = 1.470627379384751e-11 % Desired digits = 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 = 1.626 Order of pole (three term test) = 32.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.309999999999742 y[1] (closed_form) = -2.204454941586709 y[1] (numeric) = -2.204454941586387 absolute error = 3.224087663511455e-13 relative error = 1.462532802412754e-11 % Desired digits = 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 = 1.628 Order of pole (three term test) = 32.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.299999999999744 y[1] (closed_form) = -2.213540088579222 y[1] (numeric) = -2.213540088578901 absolute error = 3.215205879314453e-13 relative error = 1.45251757395465e-11 % Desired digits = 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 = 1.63 Order of pole (three term test) = 32.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.289999999999745 y[1] (closed_form) = -2.2225963532251 y[1] (numeric) = -2.222596353224779 absolute error = 3.206324095117452e-13 relative error = 1.44260296768008e-11 % Desired digits = 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 = 1.632 Order of pole (three term test) = 32.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.279999999999746 y[1] (closed_form) = -2.231623665673013 y[1] (numeric) = -2.231623665672693 absolute error = 3.197442310920451e-13 relative error = 1.432787418462945e-11 % Desired digits = 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 = 1.634 Order of pole (three term test) = 32.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.269999999999747 y[1] (closed_form) = -2.240621956242201 y[1] (numeric) = -2.240621956241883 absolute error = 3.184119634624949e-13 relative error = 1.421087401984184e-11 % Desired digits = 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 = 1.636 Order of pole (three term test) = 32.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.259999999999748 y[1] (closed_form) = -2.249591155423102 y[1] (numeric) = -2.249591155422784 absolute error = 3.179678742526448e-13 relative error = 1.413447387922547e-11 % Desired digits = 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 = 1.638 Order of pole (three term test) = 32.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.249999999999749 y[1] (closed_form) = -2.258531193877975 y[1] (numeric) = -2.258531193877658 absolute error = 3.170796958329447e-13 relative error = 1.4039199312032e-11 % Desired digits = 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 = 1.64 Order of pole (three term test) = 32.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.23999999999975 y[1] (closed_form) = -2.267442002441524 y[1] (numeric) = -2.267442002441209 absolute error = 3.157474282033945e-13 relative error = 1.392527032062587e-11 % Desired digits = 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 = 1.642 Order of pole (three term test) = 32.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.229999999999751 y[1] (closed_form) = -2.276323512121527 y[1] (numeric) = -2.276323512121211 absolute error = 3.157474282033945e-13 relative error = 1.387093822657566e-11 % Desired digits = 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 = 1.643 Order of pole (three term test) = 32.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.219999999999752 y[1] (closed_form) = -2.285175654099445 y[1] (numeric) = -2.28517565409913 absolute error = 3.157474282033945e-13 relative error = 1.381720602689626e-11 % Desired digits = 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 = 1.645 Order of pole (three term test) = 32.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.209999999999753 y[1] (closed_form) = -2.293998359731054 y[1] (numeric) = -2.29399835973074 absolute error = 3.148592497836944e-13 relative error = 1.372534764238489e-11 % Desired digits = 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 = 1.647 Order of pole (three term test) = 32.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.199999999999755 y[1] (closed_form) = -2.302791560547055 y[1] (numeric) = -2.302791560546741 absolute error = 3.144151605738443e-13 relative error = 1.365365263450728e-11 % Desired digits = 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 = 1.648 Order of pole (three term test) = 32.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.189999999999756 y[1] (closed_form) = -2.31155518825369 y[1] (numeric) = -2.311555188253376 absolute error = 3.144151605738443e-13 relative error = 1.36018885541459e-11 % Desired digits = 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 = 1.65 Order of pole (three term test) = 32.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.179999999999757 y[1] (closed_form) = -2.320289174733362 y[1] (numeric) = -2.320289174733049 absolute error = 3.126388037344441e-13 relative error = 1.347413103241199e-11 % Desired digits = 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 = 1.651 Order of pole (three term test) = 32.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.169999999999758 y[1] (closed_form) = -2.328993452045243 y[1] (numeric) = -2.328993452044931 absolute error = 3.11750625314744e-13 relative error = 1.338563769000618e-11 % Desired digits = 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 = 1.652 Order of pole (three term test) = 32.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.159999999999759 y[1] (closed_form) = -2.337667952425889 y[1] (numeric) = -2.337667952425577 absolute error = 3.11750625314744e-13 relative error = 1.333596694052413e-11 % Desired digits = 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 = 1.654 Order of pole (three term test) = 32.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.14999999999976 y[1] (closed_form) = -2.346312608289846 y[1] (numeric) = -2.346312608289535 absolute error = 3.113065361048939e-13 relative error = 1.326790535093256e-11 % Desired digits = 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 = 1.655 Order of pole (three term test) = 32.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.139999999999761 y[1] (closed_form) = -2.354927352230262 y[1] (numeric) = -2.354927352229952 absolute error = 3.095301792654936e-13 relative error = 1.314393749651553e-11 % Desired digits = 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 = 1.656 Order of pole (three term test) = 32.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.129999999999762 y[1] (closed_form) = -2.363512117019492 y[1] (numeric) = -2.363512117019184 absolute error = 3.081979116359435e-13 relative error = 1.303982786534628e-11 % Desired digits = 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 = 1.657 Order of pole (three term test) = 32.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.119999999999763 y[1] (closed_form) = -2.372066835609705 y[1] (numeric) = -2.372066835609397 absolute error = 3.077538224260934e-13 relative error = 1.297407888370016e-11 % Desired digits = 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 = 1.658 Order of pole (three term test) = 32.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.109999999999765 y[1] (closed_form) = -2.380591441133482 y[1] (numeric) = -2.380591441133175 absolute error = 3.064215547965432e-13 relative error = 1.287165657668018e-11 % Desired digits = 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 = 1.659 Order of pole (three term test) = 32.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.099999999999766 y[1] (closed_form) = -2.389085866904423 y[1] (numeric) = -2.389085866904118 absolute error = 3.05089287166993e-13 relative error = 1.277012649035935e-11 % Desired digits = 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 = 1.66 Order of pole (three term test) = 32.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.089999999999767 y[1] (closed_form) = -2.397550046417746 y[1] (numeric) = -2.397550046417442 absolute error = 3.04645197957143e-13 relative error = 1.270652090922243e-11 % Desired digits = 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 = 1.661 Order of pole (three term test) = 32.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.079999999999768 y[1] (closed_form) = -2.405983913350886 y[1] (numeric) = -2.405983913350582 absolute error = 3.042011087472929e-13 relative error = 1.264352213908292e-11 % Desired digits = 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 = 1.662 Order of pole (three term test) = 32.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.069999999999769 y[1] (closed_form) = -2.414387401564091 y[1] (numeric) = -2.414387401563788 absolute error = 3.033129303275928e-13 relative error = 1.256272833974781e-11 % Desired digits = 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 = 1.662 Order of pole (three term test) = 32.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.05999999999977 y[1] (closed_form) = -2.422760445101015 y[1] (numeric) = -2.422760445100713 absolute error = 3.019806626980426e-13 relative error = 1.246432198068397e-11 % Desired digits = 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 = 1.663 Order of pole (three term test) = 32.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.049999999999771 y[1] (closed_form) = -2.431102978189315 y[1] (numeric) = -2.431102978189014 absolute error = 3.010924842783425e-13 relative error = 1.238501564843609e-11 % Desired digits = 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 = 1.664 Order of pole (three term test) = 32.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.039999999999772 y[1] (closed_form) = -2.439414935241244 y[1] (numeric) = -2.439414935240944 absolute error = 3.006483950684924e-13 relative error = 1.232461073863024e-11 % Desired digits = 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 = 1.664 Order of pole (three term test) = 32.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.029999999999773 y[1] (closed_form) = -2.447696250854237 y[1] (numeric) = -2.447696250853938 absolute error = 2.993161274389422e-13 relative error = 1.222848330688426e-11 % Desired digits = 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 = 1.665 Order of pole (three term test) = 32.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.019999999999774 y[1] (closed_form) = -2.455946859811502 y[1] (numeric) = -2.455946859811204 absolute error = 2.988720382290921e-13 relative error = 1.21693202373292e-11 % Desired digits = 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 = 1.665 Order of pole (three term test) = 32.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.009999999999776 y[1] (closed_form) = -2.464166697082608 y[1] (numeric) = -2.46416669708231 absolute error = 2.97983859809392e-13 relative error = 1.20926826972454e-11 % Desired digits = 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 = 1.666 Order of pole (three term test) = 32.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.999999999999777 y[1] (closed_form) = -2.472355697824067 y[1] (numeric) = -2.472355697823771 absolute error = 2.966515921798418e-13 relative error = 1.199874243180002e-11 % Desired digits = 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 = 1.666 Order of pole (three term test) = 32.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.989999999999778 y[1] (closed_form) = -2.480513797379923 y[1] (numeric) = -2.480513797379626 absolute error = 2.966515921798418e-13 relative error = 1.19592800690399e-11 % Desired digits = 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 = 1.666 Order of pole (three term test) = 32.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.979999999999779 y[1] (closed_form) = -2.488640931282325 y[1] (numeric) = -2.488640931282029 absolute error = 2.962075029699918e-13 relative error = 1.190238010018442e-11 % Desired digits = 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 = 1.666 Order of pole (three term test) = 32.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.96999999999978 y[1] (closed_form) = -2.496737035252119 y[1] (numeric) = -2.496737035251823 absolute error = 2.953193245502916e-13 relative error = 1.182821099621613e-11 % Desired digits = 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 = 1.667 Order of pole (three term test) = 32.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.959999999999781 y[1] (closed_form) = -2.504802045199416 y[1] (numeric) = -2.504802045199121 absolute error = 2.944311461305915e-13 relative error = 1.175466726781401e-11 % Desired digits = 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 = 1.667 Order of pole (three term test) = 32.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.949999999999782 y[1] (closed_form) = -2.512835897224174 y[1] (numeric) = -2.51283589722388 absolute error = 2.935429677108914e-13 relative error = 1.16817404604557e-11 % Desired digits = 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 = 1.667 Order of pole (three term test) = 32.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.939999999999783 y[1] (closed_form) = -2.520838527616774 y[1] (numeric) = -2.520838527616481 absolute error = 2.926547892911913e-13 relative error = 1.160942226505361e-11 % Desired digits = 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 = 1.667 Order of pole (three term test) = 32.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.929999999999784 y[1] (closed_form) = -2.528809872858589 y[1] (numeric) = -2.528809872858298 absolute error = 2.90878432451791e-13 relative error = 1.150258212662621e-11 % Desired digits = 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 = 1.667 Order of pole (three term test) = 32.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.919999999999785 y[1] (closed_form) = -2.53674986962256 y[1] (numeric) = -2.536749869622269 absolute error = 2.90434343241941e-13 relative error = 1.144907295432933e-11 % Desired digits = 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 = 1.666 Order of pole (three term test) = 32.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.909999999999787 y[1] (closed_form) = -2.544658454773763 y[1] (numeric) = -2.544658454773473 absolute error = 2.895461648222408e-13 relative error = 1.13785865556556e-11 % Desired digits = 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 = 1.666 Order of pole (three term test) = 32.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.899999999999788 y[1] (closed_form) = -2.552535565369978 y[1] (numeric) = -2.55253556536969 absolute error = 2.882138971926906e-13 relative error = 1.129127840970613e-11 % Desired digits = 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 = 1.666 Order of pole (three term test) = 32.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.889999999999789 y[1] (closed_form) = -2.560381138662259 y[1] (numeric) = -2.560381138661971 absolute error = 2.873257187729905e-13 relative error = 1.122199013398106e-11 % Desired digits = 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 = 1.666 Order of pole (three term test) = 32.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.87999999999979 y[1] (closed_form) = -2.568195112095491 y[1] (numeric) = -2.568195112095204 absolute error = 2.868816295631405e-13 relative error = 1.117055430142387e-11 % Desired digits = 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 = 1.665 Order of pole (three term test) = 32.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.869999999999791 y[1] (closed_form) = -2.575977423308961 y[1] (numeric) = -2.575977423308675 absolute error = 2.864375403532904e-13 relative error = 1.11195671888051e-11 % Desired digits = 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 = 1.665 Order of pole (three term test) = 32.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.859999999999792 y[1] (closed_form) = -2.583728010136915 y[1] (numeric) = -2.58372801013663 absolute error = 2.851052727237402e-13 relative error = 1.103464728505351e-11 % Desired digits = 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 = 1.664 Order of pole (three term test) = 32.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.849999999999793 y[1] (closed_form) = -2.591446810609118 y[1] (numeric) = -2.591446810608833 absolute error = 2.846611835138901e-13 relative error = 1.098464310934403e-11 % Desired digits = 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 = 1.664 Order of pole (three term test) = 32.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.839999999999794 y[1] (closed_form) = -2.599133762951411 y[1] (numeric) = -2.599133762951126 absolute error = 2.846611835138901e-13 relative error = 1.095215596717296e-11 % Desired digits = 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 = 1.663 Order of pole (three term test) = 32.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.829999999999795 y[1] (closed_form) = -2.60678880558627 y[1] (numeric) = -2.606788805585985 absolute error = 2.842170943040401e-13 relative error = 1.090295821797959e-11 % Desired digits = 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 = 1.662 Order of pole (three term test) = 32.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.819999999999796 y[1] (closed_form) = -2.614411877133356 y[1] (numeric) = -2.614411877133072 absolute error = 2.833289158843399e-13 relative error = 1.083719510159982e-11 % Desired digits = 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 = 1.661 Order of pole (three term test) = 32.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.809999999999798 y[1] (closed_form) = -2.622002916410073 y[1] (numeric) = -2.62200291640979 absolute error = 2.828848266744899e-13 relative error = 1.078888299109152e-11 % Desired digits = 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 = 1.661 Order of pole (three term test) = 32.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.799999999999799 y[1] (closed_form) = -2.629561862432112 y[1] (numeric) = -2.62956186243183 absolute error = 2.819966482547898e-13 relative error = 1.072409256780017e-11 % Desired digits = 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 = 1.66 Order of pole (three term test) = 32.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.7899999999998 y[1] (closed_form) = -2.637088654414004 y[1] (numeric) = -2.637088654413723 absolute error = 2.811084698350896e-13 relative error = 1.065980354375138e-11 % Desired digits = 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 = 1.659 Order of pole (three term test) = 32.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.779999999999801 y[1] (closed_form) = -2.644583231769668 y[1] (numeric) = -2.644583231769388 absolute error = 2.802202914153895e-13 relative error = 1.059600953560744e-11 % Desired digits = 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 = 1.658 Order of pole (three term test) = 32.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.769999999999802 y[1] (closed_form) = -2.652045534112953 y[1] (numeric) = -2.652045534112673 absolute error = 2.793321129956894e-13 relative error = 1.053270426177352e-11 % Desired digits = 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 = 1.657 Order of pole (three term test) = 32.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.759999999999803 y[1] (closed_form) = -2.659475501258181 y[1] (numeric) = -2.659475501257903 absolute error = 2.779998453661392e-13 relative error = 1.045318316467361e-11 % Desired digits = 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 = 1.656 Order of pole (three term test) = 32.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.749999999999804 y[1] (closed_form) = -2.666873073220695 y[1] (numeric) = -2.666873073220418 absolute error = 2.76667577736589e-13 relative error = 1.037423117413183e-11 % Desired digits = 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 = 1.655 Order of pole (three term test) = 32.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.739999999999805 y[1] (closed_form) = -2.674238190217391 y[1] (numeric) = -2.674238190217115 absolute error = 2.757793993168889e-13 relative error = 1.0312447123286e-11 % Desired digits = 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 = 1.653 Order of pole (three term test) = 32.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.729999999999806 y[1] (closed_form) = -2.681570792667261 y[1] (numeric) = -2.681570792666986 absolute error = 2.748912208971888e-13 relative error = 1.025112675186041e-11 % Desired digits = 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 = 1.652 Order of pole (three term test) = 32.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.719999999999807 y[1] (closed_form) = -2.688870821191927 y[1] (numeric) = -2.688870821191654 absolute error = 2.735589532676386e-13 relative error = 1.017374844159954e-11 % Desired digits = 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 = 1.651 Order of pole (three term test) = 32.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.709999999999809 y[1] (closed_form) = -2.696138216616178 y[1] (numeric) = -2.696138216615906 absolute error = 2.722266856380884e-13 relative error = 1.009691135121959e-11 % Desired digits = 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 = 1.649 Order of pole (three term test) = 32.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.69999999999981 y[1] (closed_form) = -2.703372919968498 y[1] (numeric) = -2.703372919968226 absolute error = 2.722266856380884e-13 relative error = 1.006989023331863e-11 % Desired digits = 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 = 1.648 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.689999999999811 y[1] (closed_form) = -2.710574872481602 y[1] (numeric) = -2.710574872481331 absolute error = 2.713385072183883e-13 relative error = 1.001036754133159e-11 % Desired digits = 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 = 1.646 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.679999999999812 y[1] (closed_form) = -2.71774401559296 y[1] (numeric) = -2.71774401559269 absolute error = 2.700062395888381e-13 relative error = 9.934940084117079e-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 = 1.645 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.669999999999813 y[1] (closed_form) = -2.724880290945329 y[1] (numeric) = -2.724880290945059 absolute error = 2.69562150378988e-13 relative error = 9.892623586978574e-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 = 1.643 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.659999999999814 y[1] (closed_form) = -2.731983640387273 y[1] (numeric) = -2.731983640387006 absolute error = 2.668976151198876e-13 relative error = 9.76937091329191e-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 = 1.641 Order of pole (three term test) = 32.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.649999999999815 y[1] (closed_form) = -2.739054005973693 y[1] (numeric) = -2.739054005973425 absolute error = 2.673417043297377e-13 relative error = 9.76036630700539e-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 = 1.64 Order of pole (three term test) = 32.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.639999999999816 y[1] (closed_form) = -2.746091329966339 y[1] (numeric) = -2.746091329966073 absolute error = 2.655653474903374e-13 relative error = 9.670666980096132e-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 = 1.638 Order of pole (three term test) = 32.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.629999999999817 y[1] (closed_form) = -2.75309555483434 y[1] (numeric) = -2.753095554834074 absolute error = 2.655653474903374e-13 relative error = 9.646063574655589e-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 = 1.636 Order of pole (three term test) = 32.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.619999999999818 y[1] (closed_form) = -2.760066623254715 y[1] (numeric) = -2.760066623254451 absolute error = 2.637889906509372e-13 relative error = 9.557341421703546e-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 = 1.634 Order of pole (three term test) = 32.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.60999999999982 y[1] (closed_form) = -2.767004478112891 y[1] (numeric) = -2.767004478112628 absolute error = 2.62456723021387e-13 relative error = 9.485229427614937e-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 = 1.632 Order of pole (three term test) = 32.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.599999999999821 y[1] (closed_form) = -2.773909062503217 y[1] (numeric) = -2.773909062502955 absolute error = 2.620126338115369e-13 relative error = 9.445610072562829e-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 = 1.63 Order of pole (three term test) = 32.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.589999999999822 y[1] (closed_form) = -2.780780319729475 y[1] (numeric) = -2.780780319729214 absolute error = 2.606803661819868e-13 relative error = 9.374360294931416e-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 = 1.628 Order of pole (three term test) = 32.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.579999999999823 y[1] (closed_form) = -2.787618193305395 y[1] (numeric) = -2.787618193305134 absolute error = 2.606803661819868e-13 relative error = 9.351365506511034e-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 = 1.625 Order of pole (three term test) = 32.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.569999999999824 y[1] (closed_form) = -2.794422626955153 y[1] (numeric) = -2.794422626954893 absolute error = 2.597921877622866e-13 relative error = 9.296810913865247e-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 = 1.623 Order of pole (three term test) = 32.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.559999999999825 y[1] (closed_form) = -2.801193564613892 y[1] (numeric) = -2.801193564613633 absolute error = 2.584599201327364e-13 relative error = 9.226778306138291e-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 = 1.621 Order of pole (three term test) = 32.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.549999999999826 y[1] (closed_form) = -2.807930950428213 y[1] (numeric) = -2.807930950427955 absolute error = 2.580158309228864e-13 relative error = 9.188823923306898e-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 = 1.619 Order of pole (three term test) = 32.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.539999999999827 y[1] (closed_form) = -2.814634728756686 y[1] (numeric) = -2.814634728756428 absolute error = 2.575717417130363e-13 relative error = 9.151160506955516e-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 = 1.616 Order of pole (three term test) = 32.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.529999999999828 y[1] (closed_form) = -2.821304844170346 y[1] (numeric) = -2.82130484417009 absolute error = 2.562394740834861e-13 relative error = 9.082303694085133e-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 = 1.614 Order of pole (three term test) = 32.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.519999999999829 y[1] (closed_form) = -2.827941241453198 y[1] (numeric) = -2.827941241452942 absolute error = 2.562394740834861e-13 relative error = 9.060990034991391e-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 = 1.611 Order of pole (three term test) = 32.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.509999999999831 y[1] (closed_form) = -2.834543865602707 y[1] (numeric) = -2.834543865602452 absolute error = 2.549072064539359e-13 relative error = 8.992882754338156e-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 = 1.609 Order of pole (three term test) = 32.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.499999999999832 y[1] (closed_form) = -2.841112661830297 y[1] (numeric) = -2.841112661830042 absolute error = 2.544631172440859e-13 relative error = 8.956459934262377e-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 = 1.606 Order of pole (three term test) = 32.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.489999999999833 y[1] (closed_form) = -2.847647575561842 y[1] (numeric) = -2.847647575561588 absolute error = 2.535749388243858e-13 relative error = 8.904716335003476e-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 = 1.603 Order of pole (three term test) = 32.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.479999999999834 y[1] (closed_form) = -2.854148552438159 y[1] (numeric) = -2.854148552437906 absolute error = 2.522426711948356e-13 relative error = 8.837755518343887e-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 = 1.6 Order of pole (three term test) = 32.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.469999999999835 y[1] (closed_form) = -2.860615538315497 y[1] (numeric) = -2.860615538315246 absolute error = 2.509104035652854e-13 relative error = 8.771203267428119e-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 = 1.598 Order of pole (three term test) = 32.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.459999999999836 y[1] (closed_form) = -2.867048479266025 y[1] (numeric) = -2.867048479265775 absolute error = 2.504663143554353e-13 relative error = 8.736033456244716e-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 = 1.595 Order of pole (three term test) = 32.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.449999999999837 y[1] (closed_form) = -2.873447321578313 y[1] (numeric) = -2.873447321578064 absolute error = 2.495781359357352e-13 relative error = 8.685669441771709e-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 = 1.592 Order of pole (three term test) = 32.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.439999999999838 y[1] (closed_form) = -2.879812011757822 y[1] (numeric) = -2.879812011757573 absolute error = 2.491340467258851e-13 relative error = 8.651052419696488e-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 = 1.589 Order of pole (three term test) = 32.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.429999999999839 y[1] (closed_form) = -2.886142496527377 y[1] (numeric) = -2.88614249652713 absolute error = 2.478017790963349e-13 relative error = 8.585916301585643e-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 = 1.586 Order of pole (three term test) = 32.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.419999999999841 y[1] (closed_form) = -2.892438722827659 y[1] (numeric) = -2.892438722827412 absolute error = 2.473576898864849e-13 relative error = 8.551873128177009e-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 = 1.583 Order of pole (three term test) = 32.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.409999999999842 y[1] (closed_form) = -2.898700637817669 y[1] (numeric) = -2.898700637817422 absolute error = 2.464695114667848e-13 relative error = 8.502758382540086e-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 = 1.58 Order of pole (three term test) = 32.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.399999999999843 y[1] (closed_form) = -2.904928188875211 y[1] (numeric) = -2.904928188874965 absolute error = 2.460254222569347e-13 relative error = 8.469242826694307e-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 = 1.576 Order of pole (three term test) = 32.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.389999999999844 y[1] (closed_form) = -2.911121323597365 y[1] (numeric) = -2.911121323597121 absolute error = 2.446931546273845e-13 relative error = 8.405460557205817e-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 = 1.573 Order of pole (three term test) = 32.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.379999999999845 y[1] (closed_form) = -2.917279989800959 y[1] (numeric) = -2.917279989800716 absolute error = 2.429167977879843e-13 relative error = 8.32682494094638e-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 = 1.57 Order of pole (three term test) = 32.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.369999999999846 y[1] (closed_form) = -2.923404135523035 y[1] (numeric) = -2.923404135522793 absolute error = 2.420286193682841e-13 relative error = 8.278999691740605e-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 = 1.566 Order of pole (three term test) = 32.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.359999999999847 y[1] (closed_form) = -2.92949370902132 y[1] (numeric) = -2.929493709021079 absolute error = 2.415845301584341e-13 relative error = 8.246630788606205e-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 = 1.563 Order of pole (three term test) = 32.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.349999999999848 y[1] (closed_form) = -2.935548658774692 y[1] (numeric) = -2.935548658774452 absolute error = 2.398081733190338e-13 relative error = 8.169109123850484e-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 = 1.559 Order of pole (three term test) = 32.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.339999999999849 y[1] (closed_form) = -2.941568933483641 y[1] (numeric) = -2.941568933483401 absolute error = 2.393640841091838e-13 relative error = 8.137293040612503e-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 = 1.556 Order of pole (three term test) = 32.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.32999999999985 y[1] (closed_form) = -2.947554482070733 y[1] (numeric) = -2.947554482070494 absolute error = 2.384759056894836e-13 relative error = 8.090636055756573e-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 = 1.552 Order of pole (three term test) = 32.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.319999999999852 y[1] (closed_form) = -2.95350525368107 y[1] (numeric) = -2.953505253680832 absolute error = 2.384759056894836e-13 relative error = 8.074334907387136e-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 = 1.549 Order of pole (three term test) = 32.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.309999999999853 y[1] (closed_form) = -2.959421197682744 y[1] (numeric) = -2.959421197682506 absolute error = 2.375877272697835e-13 relative error = 8.028182249144428e-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 = 1.545 Order of pole (three term test) = 32.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.299999999999854 y[1] (closed_form) = -2.965302263667298 y[1] (numeric) = -2.965302263667061 absolute error = 2.366995488500834e-13 relative error = 7.982307630162074e-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 = 1.541 Order of pole (three term test) = 32.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.289999999999855 y[1] (closed_form) = -2.971148401450174 y[1] (numeric) = -2.971148401449938 absolute error = 2.362554596402333e-13 relative error = 7.951654637140322e-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 = 1.537 Order of pole (three term test) = 32.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.279999999999856 y[1] (closed_form) = -2.976959561071172 y[1] (numeric) = -2.976959561070936 absolute error = 2.353672812205332e-13 relative error = 7.906297562733541e-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 = 1.533 Order of pole (three term test) = 32.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.269999999999857 y[1] (closed_form) = -2.98273569279489 y[1] (numeric) = -2.982735692794655 absolute error = 2.349231920106831e-13 relative error = 7.876098193284931e-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 = 1.529 Order of pole (three term test) = 32.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.259999999999858 y[1] (closed_form) = -2.988476747111182 y[1] (numeric) = -2.988476747110949 absolute error = 2.331468351712829e-13 relative error = 7.801527497132271e-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 = 1.525 Order of pole (three term test) = 32.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.249999999999859 y[1] (closed_form) = -2.994182674735594 y[1] (numeric) = -2.994182674735362 absolute error = 2.318145675417327e-13 relative error = 7.742165149031979e-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 = 1.521 Order of pole (three term test) = 32.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.23999999999986 y[1] (closed_form) = -2.999853426609816 y[1] (numeric) = -2.999853426609584 absolute error = 2.313704783318826e-13 relative error = 7.712726104533656e-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 = 1.517 Order of pole (three term test) = 32.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.229999999999861 y[1] (closed_form) = -3.005488953902117 y[1] (numeric) = -3.005488953901886 absolute error = 2.304822999121825e-13 relative error = 7.66871226104293e-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 = 1.513 Order of pole (three term test) = 32.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.219999999999863 y[1] (closed_form) = -3.011089208007787 y[1] (numeric) = -3.011089208007557 absolute error = 2.300382107023324e-13 relative error = 7.639700945776082e-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 = 1.509 Order of pole (three term test) = 32.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.209999999999864 y[1] (closed_form) = -3.016654140549577 y[1] (numeric) = -3.016654140549347 absolute error = 2.295941214924824e-13 relative error = 7.610886458818734e-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 = 1.504 Order of pole (three term test) = 32.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.199999999999865 y[1] (closed_form) = -3.022183703378128 y[1] (numeric) = -3.0221837033779 absolute error = 2.287059430727822e-13 relative error = 7.56757250782406e-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 = 1.5 Order of pole (three term test) = 32.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.189999999999866 y[1] (closed_form) = -3.027677848572413 y[1] (numeric) = -3.027677848572185 absolute error = 2.278177646530821e-13 relative error = 7.524504787076372e-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 = 1.496 Order of pole (three term test) = 32.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.179999999999867 y[1] (closed_form) = -3.03313652844016 y[1] (numeric) = -3.033136528439933 absolute error = 2.273736754432321e-13 relative error = 7.496321821034634e-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 = 1.491 Order of pole (three term test) = 32.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.169999999999868 y[1] (closed_form) = -3.038559695518285 y[1] (numeric) = -3.038559695518058 absolute error = 2.264854970235319e-13 relative error = 7.453712275509547e-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 = 1.487 Order of pole (three term test) = 32.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.159999999999869 y[1] (closed_form) = -3.04394730257332 y[1] (numeric) = -3.043947302573094 absolute error = 2.260414078136819e-13 relative error = 7.425930390535634e-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 = 1.482 Order of pole (three term test) = 32.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.14999999999987 y[1] (closed_form) = -3.049299302601839 y[1] (numeric) = -3.049299302601612 absolute error = 2.264854970235319e-13 relative error = 7.427460362132421e-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 = 1.478 Order of pole (three term test) = 32.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.139999999999871 y[1] (closed_form) = -3.054615648830873 y[1] (numeric) = -3.054615648830647 absolute error = 2.260414078136819e-13 relative error = 7.39999508285755e-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 = 1.473 Order of pole (three term test) = 32.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.129999999999872 y[1] (closed_form) = -3.059896294718344 y[1] (numeric) = -3.059896294718119 absolute error = 2.251532293939817e-13 relative error = 7.358198046862453e-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 = 1.468 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.119999999999874 y[1] (closed_form) = -3.065141193953472 y[1] (numeric) = -3.065141193953247 absolute error = 2.247091401841317e-13 relative error = 7.331118730432707e-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 = 1.464 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.109999999999875 y[1] (closed_form) = -3.070350300457199 y[1] (numeric) = -3.070350300456974 absolute error = 2.247091401841317e-13 relative error = 7.318680873341088e-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 = 1.459 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.099999999999876 y[1] (closed_form) = -3.075523568382601 y[1] (numeric) = -3.075523568382378 absolute error = 2.233768725545815e-13 relative error = 7.26305188654607e-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 = 1.454 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.089999999999877 y[1] (closed_form) = -3.080660952115301 y[1] (numeric) = -3.080660952115079 absolute error = 2.220446049250313e-13 relative error = 7.207693685751653e-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 = 1.449 Order of pole (three term test) = 32.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.079999999999878 y[1] (closed_form) = -3.085762406273878 y[1] (numeric) = -3.085762406273657 absolute error = 2.216005157151812e-13 relative error = 7.181386203442942e-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 = 1.444 Order of pole (three term test) = 32.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.069999999999879 y[1] (closed_form) = -3.090827885710281 y[1] (numeric) = -3.09082788571006 absolute error = 2.211564265053312e-13 relative error = 7.155248842156374e-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 = 1.439 Order of pole (three term test) = 32.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.05999999999988 y[1] (closed_form) = -3.095857345510226 y[1] (numeric) = -3.095857345510006 absolute error = 2.207123372954811e-13 relative error = 7.129279959090158e-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 = 1.434 Order of pole (three term test) = 32.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.049999999999881 y[1] (closed_form) = -3.10085074099361 y[1] (numeric) = -3.10085074099339 absolute error = 2.202682480856311e-13 relative error = 7.103477931835254e-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 = 1.429 Order of pole (three term test) = 32.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.039999999999882 y[1] (closed_form) = -3.105808027714908 y[1] (numeric) = -3.105808027714687 absolute error = 2.207123372954811e-13 relative error = 7.106438496067311e-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 = 1.424 Order of pole (three term test) = 32.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.029999999999883 y[1] (closed_form) = -3.11072916146357 y[1] (numeric) = -3.11072916146335 absolute error = 2.202682480856311e-13 relative error = 7.080920152559885e-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 = 1.418 Order of pole (three term test) = 32.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.019999999999885 y[1] (closed_form) = -3.115614098264427 y[1] (numeric) = -3.115614098264207 absolute error = 2.193800696659309e-13 relative error = 7.041310725488694e-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 = 1.413 Order of pole (three term test) = 32.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.009999999999886 y[1] (closed_form) = -3.12046279437808 y[1] (numeric) = -3.120462794377861 absolute error = 2.189359804560809e-13 relative error = 7.016138146255822e-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 = 1.408 Order of pole (three term test) = 32.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.999999999999887 y[1] (closed_form) = -3.125275206301297 y[1] (numeric) = -3.125275206301079 absolute error = 2.176037128265307e-13 relative error = 6.96270563270044e-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 = 1.402 Order of pole (three term test) = 32.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.989999999999888 y[1] (closed_form) = -3.130051290767403 y[1] (numeric) = -3.130051290767185 absolute error = 2.176037128265307e-13 relative error = 6.952081375419897e-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 = 1.397 Order of pole (three term test) = 32.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.979999999999889 y[1] (closed_form) = -3.134791004746669 y[1] (numeric) = -3.134791004746452 absolute error = 2.167155344068306e-13 relative error = 6.913237089129135e-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 = 1.392 Order of pole (three term test) = 32.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.96999999999989 y[1] (closed_form) = -3.139494305446703 y[1] (numeric) = -3.139494305446486 absolute error = 2.167155344068306e-13 relative error = 6.902880315178504e-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 = 1.386 Order of pole (three term test) = 32.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.959999999999891 y[1] (closed_form) = -3.14416115031283 y[1] (numeric) = -3.144161150312614 absolute error = 2.162714451969805e-13 relative error = 6.878510192629994e-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 = 1.38 Order of pole (three term test) = 32.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.949999999999892 y[1] (closed_form) = -3.148791497028478 y[1] (numeric) = -3.148791497028262 absolute error = 2.153832667772804e-13 relative error = 6.840188274788537e-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 = 1.375 Order of pole (three term test) = 32.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.939999999999893 y[1] (closed_form) = -3.153385303515557 y[1] (numeric) = -3.153385303515343 absolute error = 2.144950883575802e-13 relative error = 6.802057716145566e-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 = 1.369 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.929999999999894 y[1] (closed_form) = -3.157942527934841 y[1] (numeric) = -3.157942527934627 absolute error = 2.140509991477302e-13 relative error = 6.778179059759847e-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 = 1.363 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.919999999999896 y[1] (closed_form) = -3.162463128686342 y[1] (numeric) = -3.162463128686128 absolute error = 2.144950883575802e-13 relative error = 6.782532463759649e-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 = 1.358 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.909999999999897 y[1] (closed_form) = -3.166947064409684 y[1] (numeric) = -3.16694706440947 absolute error = 2.136069099378801e-13 relative error = 6.744884129526689e-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 = 1.352 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.899999999999898 y[1] (closed_form) = -3.171394293984475 y[1] (numeric) = -3.171394293984263 absolute error = 2.1271873151818e-13 relative error = 6.707419885369236e-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 = 1.346 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.889999999999899 y[1] (closed_form) = -3.175804776530681 y[1] (numeric) = -3.175804776530469 absolute error = 2.122746423083299e-13 relative error = 6.684121262019872e-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 = 1.34 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.8799999999999 y[1] (closed_form) = -3.180178471408989 y[1] (numeric) = -3.180178471408776 absolute error = 2.1271873151818e-13 relative error = 6.688892885434012e-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 = 1.334 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.869999999999901 y[1] (closed_form) = -3.184515338221175 y[1] (numeric) = -3.184515338220963 absolute error = 2.122746423083299e-13 relative error = 6.665838275626065e-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 = 1.328 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.859999999999902 y[1] (closed_form) = -3.188815336810468 y[1] (numeric) = -3.188815336810257 absolute error = 2.113864638886298e-13 relative error = 6.628996713872549e-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 = 1.322 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.849999999999903 y[1] (closed_form) = -3.193078427261911 y[1] (numeric) = -3.1930784272617 absolute error = 2.118305530984799e-13 relative error = 6.6340541870162e-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 = 1.316 Order of pole (three term test) = 32.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.839999999999904 y[1] (closed_form) = -3.19730456990272 y[1] (numeric) = -3.197304569902509 absolute error = 2.118305530984799e-13 relative error = 6.625285407355637e-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 = 1.31 Order of pole (three term test) = 32.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.829999999999905 y[1] (closed_form) = -3.20149372530264 y[1] (numeric) = -3.201493725302429 absolute error = 2.113864638886298e-13 relative error = 6.602744906790259e-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 = 1.303 Order of pole (three term test) = 32.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.819999999999907 y[1] (closed_form) = -3.205645854274302 y[1] (numeric) = -3.205645854274092 absolute error = 2.104982854689297e-13 relative error = 6.566485976242766e-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 = 1.297 Order of pole (three term test) = 32.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.809999999999908 y[1] (closed_form) = -3.209760917873576 y[1] (numeric) = -3.209760917873365 absolute error = 2.104982854689297e-13 relative error = 6.558067434143414e-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 = 1.291 Order of pole (three term test) = 32.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.799999999999909 y[1] (closed_form) = -3.213838877399915 y[1] (numeric) = -3.213838877399704 absolute error = 2.104982854689297e-13 relative error = 6.549746066897687e-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 = 1.285 Order of pole (three term test) = 32.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.78999999999991 y[1] (closed_form) = -3.217879694396715 y[1] (numeric) = -3.217879694396505 absolute error = 2.100541962590796e-13 relative error = 6.527720617549699e-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 = 1.278 Order of pole (three term test) = 32.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.779999999999911 y[1] (closed_form) = -3.221883330651652 y[1] (numeric) = -3.221883330651442 absolute error = 2.100541962590796e-13 relative error = 6.519609020621938e-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 = 1.272 Order of pole (three term test) = 32.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.769999999999912 y[1] (closed_form) = -3.225849748197026 y[1] (numeric) = -3.225849748196817 absolute error = 2.096101070492296e-13 relative error = 6.497826105086997e-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 = 1.265 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.759999999999913 y[1] (closed_form) = -3.229778909310109 y[1] (numeric) = -3.2297789093099 absolute error = 2.087219286295294e-13 relative error = 6.462421561670086e-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 = 1.259 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.749999999999914 y[1] (closed_form) = -3.233670776513478 y[1] (numeric) = -3.23367077651327 absolute error = 2.082778394196794e-13 relative error = 6.440910464120998e-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 = 1.252 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.739999999999915 y[1] (closed_form) = -3.237525312575359 y[1] (numeric) = -3.23752531257515 absolute error = 2.091660178393795e-13 relative error = 6.460675906592184e-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 = 1.246 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.729999999999916 y[1] (closed_form) = -3.24134248050995 y[1] (numeric) = -3.241342480509743 absolute error = 2.078337502098293e-13 relative error = 6.411965148993804e-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 = 1.239 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.719999999999918 y[1] (closed_form) = -3.245122243577772 y[1] (numeric) = -3.245122243577564 absolute error = 2.082778394196794e-13 relative error = 6.418181621104401e-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 = 1.232 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.709999999999919 y[1] (closed_form) = -3.248864565285983 y[1] (numeric) = -3.248864565285774 absolute error = 2.082778394196794e-13 relative error = 6.410788607352909e-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 = 1.225 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.69999999999992 y[1] (closed_form) = -3.252569409388713 y[1] (numeric) = -3.252569409388506 absolute error = 2.078337502098293e-13 relative error = 6.389832899796272e-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 = 1.219 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.689999999999921 y[1] (closed_form) = -3.256236739887395 y[1] (numeric) = -3.256236739887188 absolute error = 2.073896609999792e-13 relative error = 6.368998250635518e-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 = 1.212 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.679999999999922 y[1] (closed_form) = -3.25986652103108 y[1] (numeric) = -3.259866521030872 absolute error = 2.078337502098293e-13 relative error = 6.375529454012506e-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 = 1.205 Order of pole (three term test) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.669999999999923 y[1] (closed_form) = -3.263458717316764 y[1] (numeric) = -3.263458717316556 absolute error = 2.078337502098293e-13 relative error = 6.368511699167793e-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 = 1.198 Order of pole (three term test) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.659999999999924 y[1] (closed_form) = -3.267013293489707 y[1] (numeric) = -3.267013293489501 absolute error = 2.065014825802791e-13 relative error = 6.320803254513286e-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 = 1.191 Order of pole (three term test) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.649999999999925 y[1] (closed_form) = -3.27053021454375 y[1] (numeric) = -3.270530214543544 absolute error = 2.060573933704291e-13 relative error = 6.300427754928256e-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 = 1.184 Order of pole (three term test) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.639999999999926 y[1] (closed_form) = -3.27400944572163 y[1] (numeric) = -3.274009445721424 absolute error = 2.060573933704291e-13 relative error = 6.293732403237205e-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 = 1.177 Order of pole (three term test) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.629999999999928 y[1] (closed_form) = -3.277450952515292 y[1] (numeric) = -3.277450952515086 absolute error = 2.051692149507289e-13 relative error = 6.260023961404246e-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 = 1.17 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.619999999999929 y[1] (closed_form) = -3.2808547006662 y[1] (numeric) = -3.280854700665995 absolute error = 2.047251257408789e-13 relative error = 6.23999367296906e-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 = 1.163 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.60999999999993 y[1] (closed_form) = -3.284220656165647 y[1] (numeric) = -3.284220656165441 absolute error = 2.051692149507289e-13 relative error = 6.247120289118015e-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 = 1.155 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.599999999999931 y[1] (closed_form) = -3.287548785255057 y[1] (numeric) = -3.287548785254852 absolute error = 2.047251257408789e-13 relative error = 6.227287840079786e-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 = 1.148 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.589999999999932 y[1] (closed_form) = -3.290839054426296 y[1] (numeric) = -3.29083905442609 absolute error = 2.051692149507289e-13 relative error = 6.234556341330915e-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 = 1.141 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.579999999999933 y[1] (closed_form) = -3.294091430421964 y[1] (numeric) = -3.29409143042176 absolute error = 2.042810365310288e-13 relative error = 6.201437963877674e-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 = 1.134 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.569999999999934 y[1] (closed_form) = -3.297305880235704 y[1] (numeric) = -3.297305880235499 absolute error = 2.042810365310288e-13 relative error = 6.195392358212943e-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 = 1.126 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.559999999999935 y[1] (closed_form) = -3.30048237111249 y[1] (numeric) = -3.300482371112287 absolute error = 2.033928581113287e-13 relative error = 6.162519148459238e-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 = 1.119 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.549999999999936 y[1] (closed_form) = -3.30362087054893 y[1] (numeric) = -3.303620870548728 absolute error = 2.025046796916286e-13 relative error = 6.129779645628051e-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 = 1.111 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.539999999999937 y[1] (closed_form) = -3.306721346293553 y[1] (numeric) = -3.306721346293351 absolute error = 2.016165012719284e-13 relative error = 6.09717240002448e-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 = 1.104 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.529999999999939 y[1] (closed_form) = -3.309783766347102 y[1] (numeric) = -3.309783766346899 absolute error = 2.025046796916286e-13 relative error = 6.118365850682935e-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 = 1.096 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.51999999999994 y[1] (closed_form) = -3.312808098962817 y[1] (numeric) = -3.312808098962616 absolute error = 2.016165012719284e-13 relative error = 6.08596982526851e-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 = 1.089 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.509999999999941 y[1] (closed_form) = -3.315794312646733 y[1] (numeric) = -3.315794312646531 absolute error = 2.025046796916286e-13 relative error = 6.107275077928018e-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 = 1.081 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.499999999999942 y[1] (closed_form) = -3.318742376157947 y[1] (numeric) = -3.318742376157745 absolute error = 2.020605904817785e-13 relative error = 6.088468690230204e-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 = 1.074 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.489999999999943 y[1] (closed_form) = -3.321652258508911 y[1] (numeric) = -3.32165225850871 absolute error = 2.011724120620784e-13 relative error = 6.056395926055926e-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 = 1.066 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.479999999999944 y[1] (closed_form) = -3.324523928965708 y[1] (numeric) = -3.324523928965507 absolute error = 2.007283228522283e-13 relative error = 6.037806529329956e-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 = 1.058 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.469999999999945 y[1] (closed_form) = -3.327357357048326 y[1] (numeric) = -3.327357357048125 absolute error = 2.007283228522283e-13 relative error = 6.032665004467476e-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 = 1.051 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.459999999999946 y[1] (closed_form) = -3.330152512530935 y[1] (numeric) = -3.330152512530735 absolute error = 1.998401444325282e-13 relative error = 6.000930698535741e-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 = 1.043 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.449999999999947 y[1] (closed_form) = -3.332909365442158 y[1] (numeric) = -3.332909365441958 absolute error = 1.993960552226781e-13 relative error = 5.982642591189256e-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 = 1.035 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.439999999999948 y[1] (closed_form) = -3.335627886065341 y[1] (numeric) = -3.335627886065142 absolute error = 1.98507876802978e-13 relative error = 5.951139742902649e-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 = 1.027 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.42999999999995 y[1] (closed_form) = -3.338308044938821 y[1] (numeric) = -3.338308044938622 absolute error = 1.989519660128281e-13 relative error = 5.959664696445774e-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 = 1.019 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.419999999999951 y[1] (closed_form) = -3.34094981285619 y[1] (numeric) = -3.340949812855991 absolute error = 1.993960552226781e-13 relative error = 5.968244552952853e-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 = 1.011 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.409999999999952 y[1] (closed_form) = -3.343553160866558 y[1] (numeric) = -3.343553160866359 absolute error = 1.993960552226781e-13 relative error = 5.963597575071905e-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 = 1.003 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.399999999999953 y[1] (closed_form) = -3.346118060274815 y[1] (numeric) = -3.346118060274616 absolute error = 1.989519660128281e-13 relative error = 5.94575452596219e-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 = 0.9953 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.389999999999954 y[1] (closed_form) = -3.348644482641887 y[1] (numeric) = -3.348644482641688 absolute error = 1.993960552226781e-13 relative error = 5.954530445267398e-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 = 0.9873 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.379999999999955 y[1] (closed_form) = -3.351132399784994 y[1] (numeric) = -3.351132399784795 absolute error = 1.989519660128281e-13 relative error = 5.936857822316798e-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 = 0.9792 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.369999999999956 y[1] (closed_form) = -3.353581783777904 y[1] (numeric) = -3.353581783777706 absolute error = 1.980637875931279e-13 relative error = 5.906037197339602e-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 = 0.9711 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.359999999999957 y[1] (closed_form) = -3.355992606951179 y[1] (numeric) = -3.355992606950981 absolute error = 1.98507876802978e-13 relative error = 5.915027237897183e-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 = 0.963 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.349999999999958 y[1] (closed_form) = -3.358364841892433 y[1] (numeric) = -3.358364841892234 absolute error = 1.989519660128281e-13 relative error = 5.92407243939342e-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 = 0.9548 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.339999999999959 y[1] (closed_form) = -3.360698461446572 y[1] (numeric) = -3.360698461446373 absolute error = 1.989519660128281e-13 relative error = 5.919958850672713e-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 = 0.9466 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.329999999999961 y[1] (closed_form) = -3.36299343871604 y[1] (numeric) = -3.362993438715841 absolute error = 1.989519660128281e-13 relative error = 5.915918946567618e-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 = 0.9383 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.319999999999962 y[1] (closed_form) = -3.365249747061061 y[1] (numeric) = -3.365249747060862 absolute error = 1.989519660128281e-13 relative error = 5.911952483959823e-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 = 0.93 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.309999999999963 y[1] (closed_form) = -3.367467360099879 y[1] (numeric) = -3.367467360099681 absolute error = 1.980637875931279e-13 relative error = 5.881683960472102e-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 = 0.9217 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.299999999999964 y[1] (closed_form) = -3.369646251708998 y[1] (numeric) = -3.3696462517088 absolute error = 1.98507876802978e-13 relative error = 5.891059831645528e-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 = 0.9134 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.289999999999965 y[1] (closed_form) = -3.371786396023412 y[1] (numeric) = -3.371786396023215 absolute error = 1.976196983832779e-13 relative error = 5.860979171644587e-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 = 0.905 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.279999999999966 y[1] (closed_form) = -3.373887767436842 y[1] (numeric) = -3.373887767436644 absolute error = 1.976196983832779e-13 relative error = 5.857328755586036e-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 = 0.8966 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.269999999999967 y[1] (closed_form) = -3.375950340601964 y[1] (numeric) = -3.375950340601766 absolute error = 1.976196983832779e-13 relative error = 5.853750157593859e-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 = 0.8881 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.259999999999968 y[1] (closed_form) = -3.377974090430637 y[1] (numeric) = -3.377974090430439 absolute error = 1.976196983832779e-13 relative error = 5.850243166254853e-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 = 0.8797 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.249999999999969 y[1] (closed_form) = -3.379958992094132 y[1] (numeric) = -3.379958992093935 absolute error = 1.976196983832779e-13 relative error = 5.846807575048062e-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 = 0.8711 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.23999999999997 y[1] (closed_form) = -3.381905021023354 y[1] (numeric) = -3.381905021023157 absolute error = 1.976196983832779e-13 relative error = 5.843443182312634e-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 = 0.8626 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.229999999999972 y[1] (closed_form) = -3.383812152909059 y[1] (numeric) = -3.383812152908862 absolute error = 1.971756091734278e-13 relative error = 5.827025859101432e-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 = 0.854 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.219999999999973 y[1] (closed_form) = -3.385680363702079 y[1] (numeric) = -3.385680363701882 absolute error = 1.967315199635777e-13 relative error = 5.810693829008161e-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 = 0.8454 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.209999999999974 y[1] (closed_form) = -3.387509629613534 y[1] (numeric) = -3.387509629613338 absolute error = 1.962874307537277e-13 relative error = 5.794446428662146e-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 = 0.8368 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.199999999999975 y[1] (closed_form) = -3.389299927115049 y[1] (numeric) = -3.389299927114853 absolute error = 1.953992523340276e-13 relative error = 5.765180318531155e-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 = 0.8281 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.189999999999976 y[1] (closed_form) = -3.391051232938963 y[1] (numeric) = -3.391051232938767 absolute error = 1.958433415438776e-13 relative error = 5.775298811222728e-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 = 0.8194 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.179999999999977 y[1] (closed_form) = -3.392763524078542 y[1] (numeric) = -3.392763524078346 absolute error = 1.958433415438776e-13 relative error = 5.772384080233464e-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 = 0.8107 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.169999999999978 y[1] (closed_form) = -3.394436777788183 y[1] (numeric) = -3.394436777787987 absolute error = 1.958433415438776e-13 relative error = 5.769538641149454e-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 = 0.802 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.159999999999979 y[1] (closed_form) = -3.396070971583618 y[1] (numeric) = -3.396070971583423 absolute error = 1.949551631241775e-13 relative error = 5.740609214455496e-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 = 0.7932 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.14999999999998 y[1] (closed_form) = -3.397666083242121 y[1] (numeric) = -3.397666083241927 absolute error = 1.945110739143274e-13 relative error = 5.724843735342028e-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 = 0.7844 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.139999999999981 y[1] (closed_form) = -3.399222090802703 y[1] (numeric) = -3.399222090802509 absolute error = 1.945110739143274e-13 relative error = 5.722223165135849e-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 = 0.7755 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.129999999999983 y[1] (closed_form) = -3.400738972566312 y[1] (numeric) = -3.400738972566118 absolute error = 1.936228954946273e-13 relative error = 5.693553579283181e-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 = 0.7667 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.119999999999984 y[1] (closed_form) = -3.402216707096028 y[1] (numeric) = -3.402216707095834 absolute error = 1.936228954946273e-13 relative error = 5.691080614905765e-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 = 0.7578 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.109999999999985 y[1] (closed_form) = -3.403655273217256 y[1] (numeric) = -3.403655273217063 absolute error = 1.931788062847772e-13 relative error = 5.675627840600254e-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 = 0.7489 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.099999999999986 y[1] (closed_form) = -3.405054650017918 y[1] (numeric) = -3.405054650017725 absolute error = 1.931788062847772e-13 relative error = 5.673295325341128e-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 = 0.7399 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.089999999999987 y[1] (closed_form) = -3.406414816848637 y[1] (numeric) = -3.406414816848444 absolute error = 1.927347170749272e-13 relative error = 5.657993152261799e-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 = 0.7309 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.079999999999988 y[1] (closed_form) = -3.407735753322927 y[1] (numeric) = -3.407735753322735 absolute error = 1.922906278650771e-13 relative error = 5.642768154120285e-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 = 0.7219 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.069999999999989 y[1] (closed_form) = -3.409017439317376 y[1] (numeric) = -3.409017439317184 absolute error = 1.918465386552271e-13 relative error = 5.62761974880488e-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 = 0.7129 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.05999999999999 y[1] (closed_form) = -3.410259854971823 y[1] (numeric) = -3.410259854971631 absolute error = 1.918465386552271e-13 relative error = 5.625569511236328e-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 = 0.7039 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.049999999999991 y[1] (closed_form) = -3.411462980689542 y[1] (numeric) = -3.41146298068935 absolute error = 1.918465386552271e-13 relative error = 5.623585533279041e-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 = 0.6948 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.039999999999992 y[1] (closed_form) = -3.412626797137418 y[1] (numeric) = -3.412626797137226 absolute error = 1.922906278650771e-13 relative error = 5.634680827870615e-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 = 0.6857 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.029999999999994 y[1] (closed_form) = -3.413751285246116 y[1] (numeric) = -3.413751285245925 absolute error = 1.91402449445377e-13 relative error = 5.606807100230143e-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 = 0.6766 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.019999999999995 y[1] (closed_form) = -3.414836426210256 y[1] (numeric) = -3.414836426210066 absolute error = 1.905142710256769e-13 relative error = 5.579016012696903e-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 = 0.6674 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.009999999999996 y[1] (closed_form) = -3.415882201488586 y[1] (numeric) = -3.415882201488395 absolute error = 1.905142710256769e-13 relative error = 5.57730799213901e-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 = 0.6582 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9999999999999968 y[1] (closed_form) = -3.416888592804139 y[1] (numeric) = -3.416888592803949 absolute error = 1.900701818158268e-13 relative error = 5.562668394167392e-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 = 0.649 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9899999999999968 y[1] (closed_form) = -3.417855582144409 y[1] (numeric) = -3.417855582144219 absolute error = 1.900701818158268e-13 relative error = 5.561094588337584e-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 = 0.6398 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9799999999999968 y[1] (closed_form) = -3.418783151761505 y[1] (numeric) = -3.418783151761315 absolute error = 1.896260926059767e-13 relative error = 5.546596089555232e-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 = 0.6306 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9699999999999968 y[1] (closed_form) = -3.419671284172312 y[1] (numeric) = -3.419671284172123 absolute error = 1.896260926059767e-13 relative error = 5.545155567543777e-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 = 0.6213 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9599999999999967 y[1] (closed_form) = -3.420519962158654 y[1] (numeric) = -3.420519962158464 absolute error = 1.900701818158268e-13 relative error = 5.556762829002042e-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 = 0.612 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9499999999999967 y[1] (closed_form) = -3.421329168767439 y[1] (numeric) = -3.421329168767249 absolute error = 1.900701818158268e-13 relative error = 5.5554485534726e-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 = 0.6027 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9399999999999967 y[1] (closed_form) = -3.422098887310821 y[1] (numeric) = -3.42209888731063 absolute error = 1.909583602355269e-13 relative error = 5.580153190300916e-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 = 0.5934 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9299999999999967 y[1] (closed_form) = -3.422829101366346 y[1] (numeric) = -3.422829101366154 absolute error = 1.91402449445377e-13 relative error = 5.591937072434373e-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 = 0.584 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9199999999999967 y[1] (closed_form) = -3.423519794777099 y[1] (numeric) = -3.423519794776907 absolute error = 1.91402449445377e-13 relative error = 5.590808901919581e-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 = 0.5746 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9099999999999967 y[1] (closed_form) = -3.424170951651851 y[1] (numeric) = -3.42417095165166 absolute error = 1.909583602355269e-13 relative error = 5.576776479089249e-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 = 0.5652 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8999999999999967 y[1] (closed_form) = -3.424782556365202 y[1] (numeric) = -3.424782556365011 absolute error = 1.909583602355269e-13 relative error = 5.575780566874741e-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 = 0.5558 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8899999999999967 y[1] (closed_form) = -3.425354593557723 y[1] (numeric) = -3.425354593557532 absolute error = 1.905142710256769e-13 relative error = 5.561884640614694e-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 = 0.5464 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8799999999999967 y[1] (closed_form) = -3.425887048136087 y[1] (numeric) = -3.425887048135897 absolute error = 1.905142710256769e-13 relative error = 5.561020207287027e-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 = 0.5369 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8699999999999967 y[1] (closed_form) = -3.426379905273218 y[1] (numeric) = -3.426379905273027 absolute error = 1.909583602355269e-13 relative error = 5.573181185823585e-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 = 0.5274 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8599999999999967 y[1] (closed_form) = -3.426833150408409 y[1] (numeric) = -3.426833150408217 absolute error = 1.91402449445377e-13 relative error = 5.585403229292495e-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 = 0.5179 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8499999999999966 y[1] (closed_form) = -3.427246769247466 y[1] (numeric) = -3.427246769247275 absolute error = 1.918465386552271e-13 relative error = 5.597686760599136e-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 = 0.5084 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8399999999999966 y[1] (closed_form) = -3.427620747762831 y[1] (numeric) = -3.427620747762639 absolute error = 1.918465386552271e-13 relative error = 5.597076011995875e-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 = 0.4989 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8299999999999966 y[1] (closed_form) = -3.427955072193706 y[1] (numeric) = -3.427955072193515 absolute error = 1.909583602355269e-13 relative error = 5.570620274008547e-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 = 0.4893 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8199999999999966 y[1] (closed_form) = -3.428249729046183 y[1] (numeric) = -3.428249729045991 absolute error = 1.91402449445377e-13 relative error = 5.583095298563023e-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 = 0.4798 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8099999999999966 y[1] (closed_form) = -3.428504705093358 y[1] (numeric) = -3.428504705093167 absolute error = 1.909583602355269e-13 relative error = 5.569727232744957e-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 = 0.4702 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7999999999999966 y[1] (closed_form) = -3.428719987375457 y[1] (numeric) = -3.428719987375267 absolute error = 1.909583602355269e-13 relative error = 5.569377521017621e-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 = 0.4606 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7899999999999966 y[1] (closed_form) = -3.428895563199951 y[1] (numeric) = -3.42889556319976 absolute error = 1.909583602355269e-13 relative error = 5.569092342296909e-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 = 0.451 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7799999999999966 y[1] (closed_form) = -3.429031420141665 y[1] (numeric) = -3.429031420141474 absolute error = 1.909583602355269e-13 relative error = 5.568871696942276e-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 = 0.4413 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7699999999999966 y[1] (closed_form) = -3.429127546042895 y[1] (numeric) = -3.429127546042704 absolute error = 1.91402449445377e-13 relative error = 5.581666090730552e-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 = 0.4317 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7599999999999966 y[1] (closed_form) = -3.429183929013519 y[1] (numeric) = -3.429183929013328 absolute error = 1.909583602355269e-13 relative error = 5.568624028004831e-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 = 0.422 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7499999999999966 y[1] (closed_form) = -3.429200557431097 y[1] (numeric) = -3.429200557430907 absolute error = 1.905142710256769e-13 relative error = 5.555646799742621e-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 = 0.4123 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7399999999999965 y[1] (closed_form) = -3.429177419940983 y[1] (numeric) = -3.429177419940792 absolute error = 1.909583602355269e-13 relative error = 5.568634598055104e-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 = 0.4026 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7299999999999965 y[1] (closed_form) = -3.429114505456422 y[1] (numeric) = -3.429114505456231 absolute error = 1.905142710256769e-13 relative error = 5.555786216019609e-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 = 0.3929 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7199999999999965 y[1] (closed_form) = -3.429011803158653 y[1] (numeric) = -3.429011803158462 absolute error = 1.909583602355269e-13 relative error = 5.568903555818169e-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 = 0.3832 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7099999999999965 y[1] (closed_form) = -3.428869302497005 y[1] (numeric) = -3.428869302496813 absolute error = 1.918465386552271e-13 relative error = 5.595037947801589e-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 = 0.3735 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6999999999999965 y[1] (closed_form) = -3.428686993188989 y[1] (numeric) = -3.428686993188797 absolute error = 1.918465386552271e-13 relative error = 5.595335445793855e-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 = 0.3637 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6899999999999965 y[1] (closed_form) = -3.4284648652204 y[1] (numeric) = -3.428464865220207 absolute error = 1.927347170749272e-13 relative error = 5.621603972964651e-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 = 0.354 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6799999999999965 y[1] (closed_form) = -3.428202908845395 y[1] (numeric) = -3.428202908845202 absolute error = 1.927347170749272e-13 relative error = 5.62203353184364e-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 = 0.3442 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6699999999999965 y[1] (closed_form) = -3.427901114586589 y[1] (numeric) = -3.427901114586396 absolute error = 1.927347170749272e-13 relative error = 5.622528498701204e-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 = 0.3344 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6599999999999965 y[1] (closed_form) = -3.427559473235136 y[1] (numeric) = -3.427559473234945 absolute error = 1.918465386552271e-13 relative error = 5.597176071000477e-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 = 0.3246 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6499999999999965 y[1] (closed_form) = -3.427177975850817 y[1] (numeric) = -3.427177975850626 absolute error = 1.918465386552271e-13 relative error = 5.597799122398947e-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 = 0.3148 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6399999999999965 y[1] (closed_form) = -3.426756613762114 y[1] (numeric) = -3.426756613761921 absolute error = 1.927347170749272e-13 relative error = 5.624406364341429e-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 = 0.3049 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6299999999999965 y[1] (closed_form) = -3.426295378566291 y[1] (numeric) = -3.426295378566099 absolute error = 1.918465386552271e-13 relative error = 5.599241088650794e-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 = 0.2951 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6199999999999964 y[1] (closed_form) = -3.425794262129473 y[1] (numeric) = -3.425794262129281 absolute error = 1.922906278650771e-13 relative error = 5.613023233495327e-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 = 0.2853 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6099999999999964 y[1] (closed_form) = -3.425253256586712 y[1] (numeric) = -3.42525325658652 absolute error = 1.918465386552271e-13 relative error = 5.60094463924117e-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 = 0.2754 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5999999999999964 y[1] (closed_form) = -3.424672354342064 y[1] (numeric) = -3.424672354341873 absolute error = 1.91402449445377e-13 relative error = 5.588927337901454e-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 = 0.2655 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5899999999999964 y[1] (closed_form) = -3.424051548068656 y[1] (numeric) = -3.424051548068464 absolute error = 1.91402449445377e-13 relative error = 5.58994065242207e-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 = 0.2557 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5799999999999964 y[1] (closed_form) = -3.423390830708748 y[1] (numeric) = -3.423390830708556 absolute error = 1.918465386552271e-13 relative error = 5.60399171880439e-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 = 0.2458 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5699999999999964 y[1] (closed_form) = -3.422690195473802 y[1] (numeric) = -3.422690195473611 absolute error = 1.909583602355269e-13 relative error = 5.579189156180483e-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 = 0.2359 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5599999999999964 y[1] (closed_form) = -3.42194963584454 y[1] (numeric) = -3.421949635844349 absolute error = 1.909583602355269e-13 relative error = 5.580396573791135e-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 = 0.226 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5499999999999964 y[1] (closed_form) = -3.421169145571004 y[1] (numeric) = -3.421169145570812 absolute error = 1.91402449445377e-13 relative error = 5.594650287699568e-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 = 0.2161 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5399999999999964 y[1] (closed_form) = -3.42034871867261 y[1] (numeric) = -3.420348718672418 absolute error = 1.91402449445377e-13 relative error = 5.595992256592411e-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 = 0.2061 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5299999999999964 y[1] (closed_form) = -3.419488349438204 y[1] (numeric) = -3.419488349438012 absolute error = 1.918465386552271e-13 relative error = 5.610387258279326e-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 = 0.1962 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5199999999999964 y[1] (closed_form) = -3.418588032426114 y[1] (numeric) = -3.418588032425923 absolute error = 1.918465386552271e-13 relative error = 5.611864806040311e-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 = 0.1863 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5099999999999963 y[1] (closed_form) = -3.417647762464198 y[1] (numeric) = -3.417647762464006 absolute error = 1.91402449445377e-13 relative error = 5.600414751559175e-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 = 0.1763 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4999999999999963 y[1] (closed_form) = -3.416667534649887 y[1] (numeric) = -3.416667534649696 absolute error = 1.909583602355269e-13 relative error = 5.589023757767956e-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 = 0.1664 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4899999999999963 y[1] (closed_form) = -3.415647344350237 y[1] (numeric) = -3.415647344350046 absolute error = 1.91402449445377e-13 relative error = 5.60369470700693e-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 = 0.1564 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4799999999999963 y[1] (closed_form) = -3.414587187201962 y[1] (numeric) = -3.414587187201771 absolute error = 1.91402449445377e-13 relative error = 5.605434535769437e-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 = 0.1465 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4699999999999963 y[1] (closed_form) = -3.413487059111481 y[1] (numeric) = -3.41348705911129 absolute error = 1.909583602355269e-13 relative error = 5.594231263476145e-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 = 0.1365 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4599999999999963 y[1] (closed_form) = -3.41234695625495 y[1] (numeric) = -3.412346956254758 absolute error = 1.91402449445377e-13 relative error = 5.609114544889103e-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 = 0.1265 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4499999999999963 y[1] (closed_form) = -3.411166875078295 y[1] (numeric) = -3.411166875078104 absolute error = 1.909583602355269e-13 relative error = 5.59803630923638e-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 = 0.1166 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4399999999999963 y[1] (closed_form) = -3.409946812297251 y[1] (numeric) = -3.40994681229706 absolute error = 1.91402449445377e-13 relative error = 5.613062607168082e-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 = 0.1066 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4299999999999963 y[1] (closed_form) = -3.408686764897385 y[1] (numeric) = -3.408686764897193 absolute error = 1.91402449445377e-13 relative error = 5.615137519130156e-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 = 0.09661 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4199999999999963 y[1] (closed_form) = -3.407386730134125 y[1] (numeric) = -3.407386730133934 absolute error = 1.91402449445377e-13 relative error = 5.617279886449601e-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 = 0.08663 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4099999999999963 y[1] (closed_form) = -3.406046705532787 y[1] (numeric) = -3.406046705532596 absolute error = 1.909583602355269e-13 relative error = 5.606451606354485e-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 = 0.07664 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3999999999999962 y[1] (closed_form) = -3.404666688888592 y[1] (numeric) = -3.404666688888402 absolute error = 1.900701818158268e-13 relative error = 5.582636985762405e-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 = 0.06665 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3899999999999962 y[1] (closed_form) = -3.403246678266694 y[1] (numeric) = -3.403246678266503 absolute error = 1.905142710256769e-13 relative error = 5.598015337598378e-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 = 0.05666 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3799999999999962 y[1] (closed_form) = -3.401786672002187 y[1] (numeric) = -3.401786672001997 absolute error = 1.900701818158268e-13 relative error = 5.587363351740024e-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 = 0.04666 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3699999999999962 y[1] (closed_form) = -3.40028666870013 y[1] (numeric) = -3.400286668699939 absolute error = 1.905142710256769e-13 relative error = 5.602888508765267e-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 = 0.03666 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3599999999999962 y[1] (closed_form) = -3.398746667235554 y[1] (numeric) = -3.398746667235363 absolute error = 1.905142710256769e-13 relative error = 5.60542722593196e-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 = 0.02667 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3499999999999962 y[1] (closed_form) = -3.397166666753472 y[1] (numeric) = -3.397166666753281 absolute error = 1.909583602355269e-13 relative error = 5.621106615237625e-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 = 0.01667 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] = -0.3396756451766831 y[1] (closed_form) = -3.395493451436252 y[1] (numeric) = -3.395493451436062 absolute error = 1.905142710256769e-13 relative error = 5.610797775065408e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0007046989828767768 SETTING H FOR POLE NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.006342 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3295279704728926 y[1] (closed_form) = -3.393807321143974 y[1] (numeric) = -3.393807321143783 absolute error = 1.905142710256769e-13 relative error = 5.613585362926818e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3200145254380889 y[1] (closed_form) = -3.392189165035221 y[1] (numeric) = -3.392189165035032 absolute error = 1.896260926059767e-13 relative error = 5.590080133517785e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3098668507342984 y[1] (closed_form) = -3.390423229191307 y[1] (numeric) = -3.390423229191116 absolute error = 1.900701818158268e-13 relative error = 5.606090124068755e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2997191760305079 y[1] (closed_form) = -3.388616104016021 y[1] (numeric) = -3.38861610401583 absolute error = 1.900701818158268e-13 relative error = 5.60907981256906e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2895715013267174 y[1] (closed_form) = -3.386767790314587 y[1] (numeric) = -3.386767790314396 absolute error = 1.905142710256769e-13 relative error = 5.625253422171603e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2800580562919138 y[1] (closed_form) = -3.384997589638017 y[1] (numeric) = -3.384997589637826 absolute error = 1.905142710256769e-13 relative error = 5.628195175348706e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2699103815881232 y[1] (closed_form) = -3.38306947652788 y[1] (numeric) = -3.38306947652769 absolute error = 1.900701818158268e-13 relative error = 5.618276039985442e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2597627068843327 y[1] (closed_form) = -3.381100178912576 y[1] (numeric) = -3.381100178912386 absolute error = 1.905142710256769e-13 relative error = 5.63468282347522e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07355 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2496150321805422 y[1] (closed_form) = -3.37908969872453 y[1] (numeric) = -3.379089698724339 absolute error = 1.905142710256769e-13 relative error = 5.63803532938437e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2394673574767517 y[1] (closed_form) = -3.3770380381824 y[1] (numeric) = -3.37703803818221 absolute error = 1.891820033961267e-13 relative error = 5.602009845821838e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2299539124419481 y[1] (closed_form) = -3.37507720852145 y[1] (numeric) = -3.37507720852126 absolute error = 1.900701818158268e-13 relative error = 5.631580259436272e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1033 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2198062377381576 y[1] (closed_form) = -3.372945768425921 y[1] (numeric) = -3.37294576842573 absolute error = 1.909583602355269e-13 relative error = 5.661471406480484e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.209658563034367 y[1] (closed_form) = -3.370773156148771 y[1] (numeric) = -3.370773156148581 absolute error = 1.905142710256769e-13 relative error = 5.651945776242807e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1236 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1995108883305765 y[1] (closed_form) = -3.368559375035489 y[1] (numeric) = -3.368559375035299 absolute error = 1.905142710256769e-13 relative error = 5.655660174423071e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1899974432957729 y[1] (closed_form) = -3.366446568801697 y[1] (numeric) = -3.366446568801506 absolute error = 1.909583602355269e-13 relative error = 5.672401338705918e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1798497685919824 y[1] (closed_form) = -3.364153033657251 y[1] (numeric) = -3.364153033657059 absolute error = 1.918465386552271e-13 relative error = 5.702669787487821e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1697020938881919 y[1] (closed_form) = -3.361818341158534 y[1] (numeric) = -3.361818341158342 absolute error = 1.918465386552271e-13 relative error = 5.70663013841235e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1595544191844013 y[1] (closed_form) = -3.35944249577738 y[1] (numeric) = -3.359442495777186 absolute error = 1.931788062847772e-13 relative error = 5.750323350603309e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1500409741495977 y[1] (closed_form) = -3.357177769783162 y[1] (numeric) = -3.35717776978297 absolute error = 1.922906278650771e-13 relative error = 5.727746370651591e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1829 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1398932994458072 y[1] (closed_form) = -3.354722204485813 y[1] (numeric) = -3.354722204485621 absolute error = 1.927347170749272e-13 relative error = 5.74517665925391e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1297456247420167 y[1] (closed_form) = -3.352225501095636 y[1] (numeric) = -3.352225501095444 absolute error = 1.927347170749272e-13 relative error = 5.749455608279755e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1195979500382262 y[1] (closed_form) = -3.349687665210168 y[1] (numeric) = -3.349687665209975 absolute error = 1.931788062847772e-13 relative error = 5.767069219352327e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1094502753344356 y[1] (closed_form) = -3.347108702712717 y[1] (numeric) = -3.347108702712525 absolute error = 1.927347170749272e-13 relative error = 5.758244926993924e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.09993683029963202 y[1] (closed_form) = -3.34465357953587 y[1] (numeric) = -3.344653579535677 absolute error = 1.927347170749272e-13 relative error = 5.762471732623279e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.0897891555958415 y[1] (closed_form) = -3.341994952036952 y[1] (numeric) = -3.341994952036759 absolute error = 1.927347170749272e-13 relative error = 5.767055900472112e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.07964148089205098 y[1] (closed_form) = -3.339295216860412 y[1] (numeric) = -3.339295216860219 absolute error = 1.931788062847772e-13 relative error = 5.785017308724293e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.06949380618826045 y[1] (closed_form) = -3.336554381014229 y[1] (numeric) = -3.336554381014036 absolute error = 1.927347170749272e-13 relative error = 5.776459636672867e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.05998036115345687 y[1] (closed_form) = -3.333947526133797 y[1] (numeric) = -3.333947526133603 absolute error = 1.936228954946273e-13 relative error = 5.807616765917176e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.04983268644966646 y[1] (closed_form) = -3.331127078748997 y[1] (numeric) = -3.331127078748803 absolute error = 1.936228954946273e-13 relative error = 5.812534043803045e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2821 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.03968501174587605 y[1] (closed_form) = -3.328265552931202 y[1] (numeric) = -3.328265552931008 absolute error = 1.936228954946273e-13 relative error = 5.817531456409893e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.02953733704208563 y[1] (closed_form) = -3.325362956812054 y[1] (numeric) = -3.32536295681186 absolute error = 1.936228954946273e-13 relative error = 5.822609381571056e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.02002389200728207 y[1] (closed_form) = -3.322604480255298 y[1] (numeric) = -3.322604480255104 absolute error = 1.936228954946273e-13 relative error = 5.827443400056752e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.009876217303491617 y[1] (closed_form) = -3.319622334632642 y[1] (numeric) = -3.31962233463245 absolute error = 1.927347170749272e-13 relative error = 5.805923013114553e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.0002714574002988239 y[1] (closed_form) = -3.316599144244373 y[1] (numeric) = -3.31659914424418 absolute error = 1.936228954946273e-13 relative error = 5.83799509900497e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.01041913210408926 y[1] (closed_form) = -3.313534918344627 y[1] (numeric) = -3.313534918344434 absolute error = 1.931788062847772e-13 relative error = 5.829991566266197e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.02056680680787971 y[1] (closed_form) = -3.31042966647241 y[1] (numeric) = -3.310429666472216 absolute error = 1.940669847044774e-13 relative error = 5.862289921757345e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.03008025184268328 y[1] (closed_form) = -3.307481241657969 y[1] (numeric) = -3.307481241657775 absolute error = 1.940669847044774e-13 relative error = 5.867515808107675e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.04022792654647369 y[1] (closed_form) = -3.304296530172858 y[1] (numeric) = -3.304296530172663 absolute error = 1.945110739143274e-13 relative error = 5.886610724496689e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.0503756012502641 y[1] (closed_form) = -3.301070822382732 y[1] (numeric) = -3.301070822382537 absolute error = 1.949551631241775e-13 relative error = 5.905815828072956e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.06052327595405451 y[1] (closed_form) = -3.297804128947399 y[1] (numeric) = -3.297804128947205 absolute error = 1.940669847044774e-13 relative error = 5.884733511035421e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.0700367209888581 y[1] (closed_form) = -3.294704390289268 y[1] (numeric) = -3.294704390289073 absolute error = 1.945110739143274e-13 relative error = 5.903748891330727e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.08018439569264862 y[1] (closed_form) = -3.291358318563179 y[1] (numeric) = -3.291358318562985 absolute error = 1.940669847044774e-13 relative error = 5.896258198627127e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.09033207039643915 y[1] (closed_form) = -3.287971294149493 y[1] (numeric) = -3.287971294149298 absolute error = 1.945110739143274e-13 relative error = 5.91583856770386e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1004797451002297 y[1] (closed_form) = -3.284543328827288 y[1] (numeric) = -3.284543328827094 absolute error = 1.945110739143274e-13 relative error = 5.922012725701371e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1099931901350333 y[1] (closed_form) = -3.281292439400196 y[1] (numeric) = -3.281292439400001 absolute error = 1.953992523340276e-13 relative error = 5.954947812263437e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4381 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1201408648388238 y[1] (closed_form) = -3.277785185648117 y[1] (numeric) = -3.277785185647923 absolute error = 1.949551631241775e-13 relative error = 5.947771195555908e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4479 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1302885395426143 y[1] (closed_form) = -3.274237027230547 y[1] (numeric) = -3.274237027230352 absolute error = 1.940669847044774e-13 relative error = 5.927090283644657e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1404362142464048 y[1] (closed_form) = -3.270647977044139 y[1] (numeric) = -3.270647977043945 absolute error = 1.940669847044774e-13 relative error = 5.933594384555753e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4674 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1499496592812085 y[1] (closed_form) = -3.267246116179113 y[1] (numeric) = -3.267246116178917 absolute error = 1.953992523340276e-13 relative error = 5.980548920585682e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4765 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.160097333984999 y[1] (closed_form) = -3.263577875949546 y[1] (numeric) = -3.263577875949351 absolute error = 1.953992523340276e-13 relative error = 5.987271018534394e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4863 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1702450086887895 y[1] (closed_form) = -3.259868783474381 y[1] (numeric) = -3.259868783474186 absolute error = 1.953992523340276e-13 relative error = 5.994083360796206e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.18039268339258 y[1] (closed_form) = -3.256118852765995 y[1] (numeric) = -3.2561188527658 absolute error = 1.949551631241775e-13 relative error = 5.987347880700601e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1905403580963705 y[1] (closed_form) = -3.252328098119809 y[1] (numeric) = -3.252328098119615 absolute error = 1.949551631241775e-13 relative error = 5.994326440708188e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000538031311742 y[1] (closed_form) = -3.248737202171454 y[1] (numeric) = -3.248737202171259 absolute error = 1.953992523340276e-13 relative error = 6.014621687572107e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2102014778349647 y[1] (closed_form) = -3.24486739288287 y[1] (numeric) = -3.244867392882674 absolute error = 1.953992523340276e-13 relative error = 6.021794689132953e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2203491525387552 y[1] (closed_form) = -3.240956803284922 y[1] (numeric) = -3.240956803284726 absolute error = 1.958433415438776e-13 relative error = 6.042763092225653e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2304968272425457 y[1] (closed_form) = -3.237005448786208 y[1] (numeric) = -3.237005448786011 absolute error = 1.962874307537277e-13 relative error = 6.06385852168801e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5531 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400102722773493 y[1] (closed_form) = -3.233264045083168 y[1] (numeric) = -3.233264045082973 absolute error = 1.958433415438776e-13 relative error = 6.057140363828219e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2501579469811399 y[1] (closed_form) = -3.229233753492012 y[1] (numeric) = -3.229233753491816 absolute error = 1.962874307537277e-13 relative error = 6.0784522192445e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2603056216849304 y[1] (closed_form) = -3.225162743895269 y[1] (numeric) = -3.225162743895073 absolute error = 1.967315199635777e-13 relative error = 6.099894349082379e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2704532963887209 y[1] (closed_form) = -3.221051032812497 y[1] (numeric) = -3.2210510328123 absolute error = 1.971756091734278e-13 relative error = 6.121468029063224e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2799667414235245 y[1] (closed_form) = -3.217159353392808 y[1] (numeric) = -3.21715935339261 absolute error = 1.976196983832779e-13 relative error = 6.142676711828671e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.290114416127315 y[1] (closed_form) = -3.212968831242903 y[1] (numeric) = -3.212968831242705 absolute error = 1.971756091734278e-13 relative error = 6.136866540879344e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3002620908311056 y[1] (closed_form) = -3.208737657762154 y[1] (numeric) = -3.208737657761958 absolute error = 1.967315199635777e-13 relative error = 6.131118868121575e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3104097655348961 y[1] (closed_form) = -3.204465850578707 y[1] (numeric) = -3.20446585057851 absolute error = 1.971756091734278e-13 relative error = 6.153150583203097e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3205574402386866 y[1] (closed_form) = -3.200153427601851 y[1] (numeric) = -3.200153427601653 absolute error = 1.976196983832779e-13 relative error = 6.175319491833592e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300708852734902 y[1] (closed_form) = -3.196073659842935 y[1] (numeric) = -3.196073659842737 absolute error = 1.976196983832779e-13 relative error = 6.183202248004181e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3402185599772807 y[1] (closed_form) = -3.191682595780195 y[1] (numeric) = -3.191682595779997 absolute error = 1.976196983832779e-13 relative error = 6.191708995266507e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3503662346810713 y[1] (closed_form) = -3.187250970156938 y[1] (numeric) = -3.18725097015674 absolute error = 1.980637875931279e-13 relative error = 6.21425138615223e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3605139093848618 y[1] (closed_form) = -3.182778801987842 y[1] (numeric) = -3.182778801987645 absolute error = 1.971756091734278e-13 relative error = 6.195077366051309e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700273544196654 y[1] (closed_form) = -3.178549340617276 y[1] (numeric) = -3.178549340617079 absolute error = 1.967315199635777e-13 relative error = 6.189349255952478e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3801750291234559 y[1] (closed_form) = -3.173998676422511 y[1] (numeric) = -3.173998676422314 absolute error = 1.971756091734278e-13 relative error = 6.212214599776364e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3903227038272464 y[1] (closed_form) = -3.169407527157901 y[1] (numeric) = -3.169407527157705 absolute error = 1.962874307537277e-13 relative error = 6.193190022797234e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.400470378531037 y[1] (closed_form) = -3.164775912940776 y[1] (numeric) = -3.16477591294058 absolute error = 1.953992523340276e-13 relative error = 6.174189190932589e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4099838235658406 y[1] (closed_form) = -3.160397042350623 y[1] (numeric) = -3.160397042350426 absolute error = 1.967315199635777e-13 relative error = 6.22489887591003e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4201314982696311 y[1] (closed_form) = -3.155687085580021 y[1] (numeric) = -3.155687085579824 absolute error = 1.971756091734278e-13 relative error = 6.248262385533278e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4302791729734216 y[1] (closed_form) = -3.150936724567744 y[1] (numeric) = -3.150936724567547 absolute error = 1.971756091734278e-13 relative error = 6.257682283368511e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4404268476772121 y[1] (closed_form) = -3.146145980530882 y[1] (numeric) = -3.146145980530684 absolute error = 1.976196983832779e-13 relative error = 6.281326410350845e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7463 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4499402927120157 y[1] (closed_form) = -3.141618001119263 y[1] (numeric) = -3.141618001119066 absolute error = 1.971756091734278e-13 relative error = 6.276243932367975e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600879674158063 y[1] (closed_form) = -3.136749076391042 y[1] (numeric) = -3.136749076390845 absolute error = 1.971756091734278e-13 relative error = 6.285986043878472e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4702356421195968 y[1] (closed_form) = -3.131839832575199 y[1] (numeric) = -3.131839832575002 absolute error = 1.971756091734278e-13 relative error = 6.295839497363356e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4803833168233873 y[1] (closed_form) = -3.126890291985537 y[1] (numeric) = -3.126890291985339 absolute error = 1.980637875931279e-13 relative error = 6.334209681125711e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4905309915271778 y[1] (closed_form) = -3.121900477213886 y[1] (numeric) = -3.12190047721369 absolute error = 1.967315199635777e-13 relative error = 6.301658922168753e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000444365619814 y[1] (closed_form) = -3.117185969061238 y[1] (numeric) = -3.117185969061041 absolute error = 1.967315199635777e-13 relative error = 6.311189704951252e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.7991 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.510192111265771 y[1] (closed_form) = -3.112118188389082 y[1] (numeric) = -3.112118188388886 absolute error = 1.962874307537277e-13 relative error = 6.307197184414498e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5203397859695607 y[1] (closed_form) = -3.107010201504315 y[1] (numeric) = -3.107010201504119 absolute error = 1.967315199635777e-13 relative error = 6.331859479197288e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5304874606733503 y[1] (closed_form) = -3.101862032091436 y[1] (numeric) = -3.101862032091239 absolute error = 1.971756091734278e-13 relative error = 6.356685343625092e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400009057081531 y[1] (closed_form) = -3.096999150673919 y[1] (numeric) = -3.096999150673722 absolute error = 1.976196983832779e-13 relative error = 6.381005895344693e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5501485804119427 y[1] (closed_form) = -3.091773196046148 y[1] (numeric) = -3.091773196045949 absolute error = 1.98507876802978e-13 relative error = 6.420518719058559e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5602962551157323 y[1] (closed_form) = -3.086507130064403 y[1] (numeric) = -3.086507130064204 absolute error = 1.98507876802978e-13 relative error = 6.431473132506127e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.570443929819522 y[1] (closed_form) = -3.081200977502449 y[1] (numeric) = -3.081200977502249 absolute error = 1.998401444325282e-13 relative error = 6.485787389127534e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5799573748543247 y[1] (closed_form) = -3.076190074990746 y[1] (numeric) = -3.076190074990544 absolute error = 2.016165012719284e-13 relative error = 6.554097645365265e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5901050495581144 y[1] (closed_form) = -3.070806326209355 y[1] (numeric) = -3.070806326209154 absolute error = 2.011724120620784e-13 relative error = 6.551126664845982e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.600252724261904 y[1] (closed_form) = -3.065382565216431 y[1] (numeric) = -3.065382565216228 absolute error = 2.029487689014786e-13 relative error = 6.620666901560114e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6104003989656936 y[1] (closed_form) = -3.05991881787144 y[1] (numeric) = -3.059918817871236 absolute error = 2.042810365310288e-13 relative error = 6.67602798276629e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6205480736694833 y[1] (closed_form) = -3.054415110309001 y[1] (numeric) = -3.054415110308796 absolute error = 2.047251257408789e-13 relative error = 6.702596678817758e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300615187042861 y[1] (closed_form) = -3.049219115956555 y[1] (numeric) = -3.04921911595635 absolute error = 2.051692149507289e-13 relative error = 6.728582209034404e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6402091934080757 y[1] (closed_form) = -3.043638060870732 y[1] (numeric) = -3.043638060870526 absolute error = 2.065014825802791e-13 relative error = 6.784692478224649e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6503568681118653 y[1] (closed_form) = -3.038017123926824 y[1] (numeric) = -3.038017123926618 absolute error = 2.065014825802791e-13 relative error = 6.797245511024745e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.660504542815655 y[1] (closed_form) = -3.032356332340473 y[1] (numeric) = -3.032356332340266 absolute error = 2.078337502098293e-13 relative error = 6.853869645636808e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6700179878504577 y[1] (closed_form) = -3.027013168559634 y[1] (numeric) = -3.027013168559427 absolute error = 2.078337502098293e-13 relative error = 6.865967824934318e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6801656625542474 y[1] (closed_form) = -3.021275237074071 y[1] (numeric) = -3.021275237073862 absolute error = 2.082778394196794e-13 relative error = 6.893706235827237e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.690313337258037 y[1] (closed_form) = -3.015497532475231 y[1] (numeric) = -3.015497532475022 absolute error = 2.091660178393795e-13 relative error = 6.936368396484422e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7004610119618266 y[1] (closed_form) = -3.009680083055865 y[1] (numeric) = -3.009680083055656 absolute error = 2.096101070492296e-13 relative error = 6.964531154965908e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7099744569966294 y[1] (closed_form) = -3.00419015325415 y[1] (numeric) = -3.004190153253939 absolute error = 2.109423746787797e-13 relative error = 7.021605288542944e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7201221317004191 y[1] (closed_form) = -2.998295779776865 y[1] (numeric) = -2.998295779776655 absolute error = 2.109423746787797e-13 relative error = 7.035409118125036e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7302698064042087 y[1] (closed_form) = -2.992361746166313 y[1] (numeric) = -2.992361746166102 absolute error = 2.109423746787797e-13 relative error = 7.049360758238211e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7404174811079983 y[1] (closed_form) = -2.986388081788288 y[1] (numeric) = -2.986388081788076 absolute error = 2.118305530984799e-13 relative error = 7.093202467230348e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.750565155811788 y[1] (closed_form) = -2.980374816280437 y[1] (numeric) = -2.980374816280225 absolute error = 2.118305530984799e-13 relative error = 7.107513858369274e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600786008465907 y[1] (closed_form) = -2.974701440590942 y[1] (numeric) = -2.97470144059073 absolute error = 2.118305530984799e-13 relative error = 7.12106936877667e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7702262755503804 y[1] (closed_form) = -2.968611533248107 y[1] (numeric) = -2.968611533247894 absolute error = 2.131628207280301e-13 relative error = 7.180556241213478e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.025 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.78037395025417 y[1] (closed_form) = -2.962482113405598 y[1] (numeric) = -2.962482113405384 absolute error = 2.140509991477302e-13 relative error = 7.225393806738036e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7905216249579596 y[1] (closed_form) = -2.956313211768796 y[1] (numeric) = -2.956313211768581 absolute error = 2.144950883575802e-13 relative error = 7.255492669169699e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.041 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000350699927624 y[1] (closed_form) = -2.950494036537853 y[1] (numeric) = -2.950494036537637 absolute error = 2.158273559871304e-13 relative error = 7.314956523023004e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.810182744696552 y[1] (closed_form) = -2.944248727312958 y[1] (numeric) = -2.944248727312741 absolute error = 2.171596236166806e-13 relative error = 7.375722764254005e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.056 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8203304194003417 y[1] (closed_form) = -2.937964028053944 y[1] (numeric) = -2.937964028053726 absolute error = 2.180478020363807e-13 relative error = 7.421731510470937e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8304780941041313 y[1] (closed_form) = -2.931639970529507 y[1] (numeric) = -2.931639970529288 absolute error = 2.184918912462308e-13 relative error = 7.452889626374116e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8399915391389341 y[1] (closed_form) = -2.925675449787803 y[1] (numeric) = -2.925675449787584 absolute error = 2.189359804560809e-13 relative error = 7.483262727311745e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8501392138427237 y[1] (closed_form) = -2.919275227034065 y[1] (numeric) = -2.919275227033846 absolute error = 2.189359804560809e-13 relative error = 7.49966904211756e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8602868885465134 y[1] (closed_form) = -2.912835740891919 y[1] (numeric) = -2.912835740891699 absolute error = 2.193800696659309e-13 relative error = 7.531494707585403e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.870434563250303 y[1] (closed_form) = -2.906357024188815 y[1] (numeric) = -2.906357024188595 absolute error = 2.19824158875781e-13 relative error = 7.563563493619146e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8799480082851058 y[1] (closed_form) = -2.9002476273892 y[1] (numeric) = -2.900247627388979 absolute error = 2.211564265053312e-13 relative error = 7.625432546406941e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900956829888954 y[1] (closed_form) = -2.893692995892664 y[1] (numeric) = -2.893692995892442 absolute error = 2.220446049250313e-13 relative error = 7.673398845012363e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.900243357692685 y[1] (closed_form) = -2.887099231815392 y[1] (numeric) = -2.887099231815169 absolute error = 2.229327833447314e-13 relative error = 7.721687598681967e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9103910323964747 y[1] (closed_form) = -2.880466369038869 y[1] (numeric) = -2.880466369038647 absolute error = 2.224886941348814e-13 relative error = 7.724051095556434e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9205387071002643 y[1] (closed_form) = -2.873794441711505 y[1] (numeric) = -2.873794441711282 absolute error = 2.224886941348814e-13 relative error = 7.741983591643978e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300521521350671 y[1] (closed_form) = -2.86750406189591 y[1] (numeric) = -2.867504061895688 absolute error = 2.229327833447314e-13 relative error = 7.774453968770832e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9401998268388567 y[1] (closed_form) = -2.860756545173016 y[1] (numeric) = -2.860756545172793 absolute error = 2.238209617644316e-13 relative error = 7.82383814316835e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9503475015426464 y[1] (closed_form) = -2.853970065750876 y[1] (numeric) = -2.853970065750652 absolute error = 2.238209617644316e-13 relative error = 7.842442513689944e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.960495176246436 y[1] (closed_form) = -2.847144658825807 y[1] (numeric) = -2.847144658825583 absolute error = 2.242650509742816e-13 relative error = 7.876840759709446e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700086212812388 y[1] (closed_form) = -2.840710517285481 y[1] (numeric) = -2.840710517285256 absolute error = 2.255973186038318e-13 relative error = 7.941580714792704e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9801562959850284 y[1] (closed_form) = -2.833809789472495 y[1] (numeric) = -2.833809789472268 absolute error = 2.260414078136819e-13 relative error = 7.976590689093456e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.990303970688818 y[1] (closed_form) = -2.826870239079023 y[1] (numeric) = -2.826870239078795 absolute error = 2.273736754432321e-13 relative error = 8.04330076067832e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000451645392608 y[1] (closed_form) = -2.819891902344232 y[1] (numeric) = -2.819891902344005 absolute error = 2.278177646530821e-13 relative error = 8.078953823148068e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.009965090427412 y[1] (closed_form) = -2.813314518236951 y[1] (numeric) = -2.813314518236724 absolute error = 2.273736754432321e-13 relative error = 8.082056733056731e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.020112765131204 y[1] (closed_form) = -2.806261137077612 y[1] (numeric) = -2.806261137077386 absolute error = 2.260414078136819e-13 relative error = 8.05489570543236e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.030260439834995 y[1] (closed_form) = -2.79916907755517 y[1] (numeric) = -2.799169077554945 absolute error = 2.251532293939817e-13 relative error = 8.04357375906115e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.040408114538786 y[1] (closed_form) = -2.792038376946437 y[1] (numeric) = -2.792038376946213 absolute error = 2.238209617644316e-13 relative error = 8.016399903830027e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.050555789242578 y[1] (closed_form) = -2.784869072790904 y[1] (numeric) = -2.784869072790681 absolute error = 2.229327833447314e-13 relative error = 8.005144138475262e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.060069234277382 y[1] (closed_form) = -2.778112823896105 y[1] (numeric) = -2.778112823895883 absolute error = 2.220446049250313e-13 relative error = 7.992641732009631e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.070216908981174 y[1] (closed_form) = -2.770868833174408 y[1] (numeric) = -2.770868833174187 absolute error = 2.216005157151812e-13 relative error = 7.997510133357978e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080364583684965 y[1] (closed_form) = -2.76358635069399 y[1] (numeric) = -2.763586350693769 absolute error = 2.216005157151812e-13 relative error = 8.018584824010766e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.090512258388757 y[1] (closed_form) = -2.756265415025248 y[1] (numeric) = -2.756265415025028 absolute error = 2.207123372954811e-13 relative error = 8.007659062596456e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.100025703423561 y[1] (closed_form) = -2.749367149058397 y[1] (numeric) = -2.749367149058177 absolute error = 2.19824158875781e-13 relative error = 7.995445750163502e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.263 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110173378127352 y[1] (closed_form) = -2.741971821071467 y[1] (numeric) = -2.741971821071249 absolute error = 2.184918912462308e-13 relative error = 7.968422197747159e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.120321052831144 y[1] (closed_form) = -2.734538154704477 y[1] (numeric) = -2.734538154704259 absolute error = 2.180478020363807e-13 relative error = 7.973843833967102e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.130468727534935 y[1] (closed_form) = -2.727066189553184 y[1] (numeric) = -2.727066189552967 absolute error = 2.171596236166806e-13 relative error = 7.963122583843888e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.13998217256974 y[1] (closed_form) = -2.720026474587239 y[1] (numeric) = -2.720026474587023 absolute error = 2.158273559871304e-13 relative error = 7.93475203287799e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.289 Order of pole (three term test) = 32.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150129847273531 y[1] (closed_form) = -2.712480419188072 y[1] (numeric) = -2.712480419187856 absolute error = 2.158273559871304e-13 relative error = 7.956826322519009e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160277521977322 y[1] (closed_form) = -2.704896182816553 y[1] (numeric) = -2.704896182816339 absolute error = 2.144950883575802e-13 relative error = 7.929882474610574e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.170425196681114 y[1] (closed_form) = -2.697273806088114 y[1] (numeric) = -2.6972738060879 absolute error = 2.140509991477302e-13 relative error = 7.935827599874657e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.179938641715918 y[1] (closed_form) = -2.690093225058329 y[1] (numeric) = -2.690093225058116 absolute error = 2.1271873151818e-13 relative error = 7.907485492944864e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.19008631641971 y[1] (closed_form) = -2.682397067931261 y[1] (numeric) = -2.682397067931049 absolute error = 2.1271873151818e-13 relative error = 7.930173129895141e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200233991123501 y[1] (closed_form) = -2.674662891245986 y[1] (numeric) = -2.674662891245774 absolute error = 2.122746423083299e-13 relative error = 7.936500820461985e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.210381665827293 y[1] (closed_form) = -2.666890736631769 y[1] (numeric) = -2.666890736631558 absolute error = 2.113864638886298e-13 relative error = 7.926326376445657e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.332 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.220529340531084 y[1] (closed_form) = -2.659080645974414 y[1] (numeric) = -2.659080645974203 absolute error = 2.109423746787797e-13 relative error = 7.932906247056692e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.230042785565888 y[1] (closed_form) = -2.651724269822747 y[1] (numeric) = -2.651724269822537 absolute error = 2.109423746787797e-13 relative error = 7.954913603927607e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.24019046026968 y[1] (closed_form) = -2.643840798232735 y[1] (numeric) = -2.643840798232524 absolute error = 2.104982854689297e-13 relative error = 7.96183664347855e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.250338134973471 y[1] (closed_form) = -2.63591951511902 y[1] (numeric) = -2.635919515118811 absolute error = 2.096101070492296e-13 relative error = 7.952067802030936e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.260485809677263 y[1] (closed_form) = -2.627960463373718 y[1] (numeric) = -2.627960463373509 absolute error = 2.087219286295294e-13 relative error = 7.942354214932777e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.269999254712067 y[1] (closed_form) = -2.620464589139333 y[1] (numeric) = -2.620464589139125 absolute error = 2.078337502098293e-13 relative error = 7.931179496613247e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.280146929415859 y[1] (closed_form) = -2.612432483679118 y[1] (numeric) = -2.612432483678911 absolute error = 2.065014825802791e-13 relative error = 7.904567251799778e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.29029460411965 y[1] (closed_form) = -2.604362737053788 y[1] (numeric) = -2.604362737053582 absolute error = 2.05613304160579e-13 relative error = 7.894956460373148e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.300442278823441 y[1] (closed_form) = -2.596255393155607 y[1] (numeric) = -2.596255393155403 absolute error = 2.047251257408789e-13 relative error = 7.885400114356492e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.384 Order of pole (three term test) = 32.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.309955723858246 y[1] (closed_form) = -2.588620651544465 y[1] (numeric) = -2.58862065154426 absolute error = 2.05613304160579e-13 relative error = 7.942967774668051e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320103398562037 y[1] (closed_form) = -2.580440588779116 y[1] (numeric) = -2.580440588778911 absolute error = 2.042810365310288e-13 relative error = 7.916517722567692e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330251073265829 y[1] (closed_form) = -2.572223059136109 y[1] (numeric) = -2.572223059135906 absolute error = 2.029487689014786e-13 relative error = 7.890014366391682e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.401 Order of pole (three term test) = 32.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.34039874796962 y[1] (closed_form) = -2.563968107501554 y[1] (numeric) = -2.563968107501351 absolute error = 2.029487689014786e-13 relative error = 7.915417056386126e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350546422673411 y[1] (closed_form) = -2.555675779012942 y[1] (numeric) = -2.55567577901274 absolute error = 2.020605904817785e-13 relative error = 7.906346812106924e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360059867708216 y[1] (closed_form) = -2.547867815638875 y[1] (numeric) = -2.547867815638673 absolute error = 2.020605904817785e-13 relative error = 7.93057588158717e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370207542412007 y[1] (closed_form) = -2.53950319888041 y[1] (numeric) = -2.539503198880208 absolute error = 2.016165012719284e-13 relative error = 7.939210368422259e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.380355217115799 y[1] (closed_form) = -2.531101339309076 y[1] (numeric) = -2.531101339308875 absolute error = 2.007283228522283e-13 relative error = 7.93047357428296e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.39050289181959 y[1] (closed_form) = -2.522662283048098 y[1] (numeric) = -2.522662283047898 absolute error = 1.998401444325282e-13 relative error = 7.92179538955425e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.433 Order of pole (three term test) = 32.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.400016336854395 y[1] (closed_form) = -2.514716926888456 y[1] (numeric) = -2.514716926888257 absolute error = 1.989519660128281e-13 relative error = 7.911505421765227e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.410164011558186 y[1] (closed_form) = -2.506205934225035 y[1] (numeric) = -2.506205934224838 absolute error = 1.971756091734278e-13 relative error = 7.867494306065401e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.420311686261977 y[1] (closed_form) = -2.49765788179906 y[1] (numeric) = -2.497657881798863 absolute error = 1.967315199635777e-13 relative error = 7.876640007312461e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.430459360965769 y[1] (closed_form) = -2.489072816712862 y[1] (numeric) = -2.489072816712666 absolute error = 1.958433415438776e-13 relative error = 7.868124236016273e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.439972806000573 y[1] (closed_form) = -2.480990745284878 y[1] (numeric) = -2.480990745284683 absolute error = 1.949551631241775e-13 relative error = 7.857956080436402e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.457 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.450120480704365 y[1] (closed_form) = -2.472334103133105 y[1] (numeric) = -2.472334103132911 absolute error = 1.945110739143274e-13 relative error = 7.86750761832028e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.460268155408156 y[1] (closed_form) = -2.463640588114424 y[1] (numeric) = -2.463640588114231 absolute error = 1.931788062847772e-13 relative error = 7.841192713610424e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.470415830111947 y[1] (closed_form) = -2.454910248303503 y[1] (numeric) = -2.454910248303312 absolute error = 1.918465386552271e-13 relative error = 7.814808659005152e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.480563504815739 y[1] (closed_form) = -2.446143132020861 y[1] (numeric) = -2.44614313202067 absolute error = 1.909583602355269e-13 relative error = 7.806508038545082e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.490076949850543 y[1] (closed_form) = -2.437890603184741 y[1] (numeric) = -2.437890603184551 absolute error = 1.896260926059767e-13 relative error = 7.778285553841445e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.500224624554335 y[1] (closed_form) = -2.429052370910155 y[1] (numeric) = -2.429052370909967 absolute error = 1.887379141862766e-13 relative error = 7.77002243535644e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.510372299258126 y[1] (closed_form) = -2.420177505522886 y[1] (numeric) = -2.420177505522698 absolute error = 1.874056465567264e-13 relative error = 7.743467003104672e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.520519973961918 y[1] (closed_form) = -2.411266056307102 y[1] (numeric) = -2.411266056306915 absolute error = 1.860733789271762e-13 relative error = 7.716833173198276e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.530033418996722 y[1] (closed_form) = -2.402878391160723 y[1] (numeric) = -2.402878391160538 absolute error = 1.84741111297626e-13 relative error = 7.688325467373564e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.540181093700513 y[1] (closed_form) = -2.393896201934811 y[1] (numeric) = -2.393896201934627 absolute error = 1.838529328779259e-13 relative error = 7.68007120481377e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.550328768404305 y[1] (closed_form) = -2.384877575059797 y[1] (numeric) = -2.384877575059614 absolute error = 1.834088436680759e-13 relative error = 7.690493029332004e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.560476443108096 y[1] (closed_form) = -2.375822560776426 y[1] (numeric) = -2.375822560776243 absolute error = 1.834088436680759e-13 relative error = 7.71980394058289e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.569989888142901 y[1] (closed_form) = -2.367300482617653 y[1] (numeric) = -2.367300482617471 absolute error = 1.825206652483757e-13 relative error = 7.710075953119085e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.580137562846692 y[1] (closed_form) = -2.35817511160352 y[1] (numeric) = -2.35817511160334 absolute error = 1.803002191991254e-13 relative error = 7.645751933855508e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590285237550483 y[1] (closed_form) = -2.349013502159813 y[1] (numeric) = -2.349013502159633 absolute error = 1.794120407794253e-13 relative error = 7.637761154393705e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.524 Order of pole (three term test) = 32.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600432912254275 y[1] (closed_form) = -2.339815705476628 y[1] (numeric) = -2.33981570547645 absolute error = 1.780797731498751e-13 relative error = 7.610846133439371e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.609946357289079 y[1] (closed_form) = -2.331159951454654 y[1] (numeric) = -2.331159951454477 absolute error = 1.77635683940025e-13 relative error = 7.620055579162622e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.532 Order of pole (three term test) = 32.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620094031992871 y[1] (closed_form) = -2.321892188562558 y[1] (numeric) = -2.32189218856238 absolute error = 1.77191594730175e-13 relative error = 7.63134462500049e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630241706696662 y[1] (closed_form) = -2.312588390187733 y[1] (numeric) = -2.312588390187557 absolute error = 1.754152378907747e-13 relative error = 7.585233871927151e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640389381400454 y[1] (closed_form) = -2.303248608462276 y[1] (numeric) = -2.303248608462101 absolute error = 1.745270594710746e-13 relative error = 7.577430366389958e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650537056104245 y[1] (closed_form) = -2.293872895756332 y[1] (numeric) = -2.293872895756159 absolute error = 1.731947918415244e-13 relative error = 7.550322084625308e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660050501139049 y[1] (closed_form) = -2.285050579245554 y[1] (numeric) = -2.285050579245381 absolute error = 1.731947918415244e-13 relative error = 7.579473006619724e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670198175842841 y[1] (closed_form) = -2.27560540018168 y[1] (numeric) = -2.275605400181508 absolute error = 1.718625242119742e-13 relative error = 7.552386903206199e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680345850546632 y[1] (closed_form) = -2.266124445346686 y[1] (numeric) = -2.266124445346516 absolute error = 1.70086167372574e-13 relative error = 7.505596955270173e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690493525250424 y[1] (closed_form) = -2.256607768043302 y[1] (numeric) = -2.256607768043133 absolute error = 1.687538997430238e-13 relative error = 7.478211416836069e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.562 Order of pole (three term test) = 32.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700006970285228 y[1] (closed_form) = -2.2476534874214 y[1] (numeric) = -2.247653487421232 absolute error = 1.674216321134736e-13 relative error = 7.44872966631287e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710154644989019 y[1] (closed_form) = -2.238067750398905 y[1] (numeric) = -2.238067750398737 absolute error = 1.674216321134736e-13 relative error = 7.480632884488551e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720302319692811 y[1] (closed_form) = -2.228446448845643 y[1] (numeric) = -2.228446448845477 absolute error = 1.660893644839234e-13 relative error = 7.453145870745931e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730449994396602 y[1] (closed_form) = -2.218789636989271 y[1] (numeric) = -2.218789636989106 absolute error = 1.647570968543732e-13 relative error = 7.425539316919476e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.739963439431407 y[1] (closed_form) = -2.209704173733911 y[1] (numeric) = -2.209704173733747 absolute error = 1.638689184346731e-13 relative error = 7.415875861689255e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750111114135198 y[1] (closed_form) = -2.199978715853367 y[1] (numeric) = -2.199978715853203 absolute error = 1.63424829224823e-13 relative error = 7.428473195997759e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.76025878883899 y[1] (closed_form) = -2.190217908312901 y[1] (numeric) = -2.190217908312738 absolute error = 1.62980740014973e-13 relative error = 7.4413025022024e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.770406463542781 y[1] (closed_form) = -2.180421806257302 y[1] (numeric) = -2.18042180625714 absolute error = 1.620925615952729e-13 relative error = 7.434000207212431e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780554138246572 y[1] (closed_form) = -2.170590465063024 y[1] (numeric) = -2.170590465062862 absolute error = 1.616484723854228e-13 relative error = 7.447211944733631e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790067583281377 y[1] (closed_form) = -2.16134162784517 y[1] (numeric) = -2.161341627845009 absolute error = 1.603162047558726e-13 relative error = 7.417439366848535e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800215257985168 y[1] (closed_form) = -2.151442169267555 y[1] (numeric) = -2.151442169267396 absolute error = 1.585398479164724e-13 relative error = 7.369003461080539e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.81036293268896 y[1] (closed_form) = -2.141507635554477 y[1] (numeric) = -2.14150763555432 absolute error = 1.576516694967722e-13 relative error = 7.361714097085308e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820510607392751 y[1] (closed_form) = -2.131538082989568 y[1] (numeric) = -2.13153808298941 absolute error = 1.572075802869222e-13 relative error = 7.375311824897457e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830024052427556 y[1] (closed_form) = -2.122159873481898 y[1] (numeric) = -2.122159873481741 absolute error = 1.572075802869222e-13 relative error = 7.407904665965927e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840171727131347 y[1] (closed_form) = -2.112122632913341 y[1] (numeric) = -2.112122632913184 absolute error = 1.567634910770721e-13 relative error = 7.422082820107918e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850319401835138 y[1] (closed_form) = -2.102050540149162 y[1] (numeric) = -2.102050540149006 absolute error = 1.554312234475219e-13 relative error = 7.39426671617955e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.61 Order of pole (three term test) = 32.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.86046707653893 y[1] (closed_form) = -2.09194365237208 y[1] (numeric) = -2.091943652371926 absolute error = 1.540989558179717e-13 relative error = 7.366305284716299e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.613 Order of pole (three term test) = 32.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.869980521573734 y[1] (closed_form) = -2.082436895191945 y[1] (numeric) = -2.08243689519179 absolute error = 1.545430450278218e-13 relative error = 7.421259457352106e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880128196277526 y[1] (closed_form) = -2.072262755649932 y[1] (numeric) = -2.072262755649778 absolute error = 1.540989558179717e-13 relative error = 7.436265280444182e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890275870981317 y[1] (closed_form) = -2.062053990380274 y[1] (numeric) = -2.062053990380121 absolute error = 1.527666881884215e-13 relative error = 7.408471790801609e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900423545685108 y[1] (closed_form) = -2.051810657456568 y[1] (numeric) = -2.051810657456414 absolute error = 1.532107773982716e-13 relative error = 7.467101159723592e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.623 Order of pole (three term test) = 32.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.909936990719913 y[1] (closed_form) = -2.042176190229883 y[1] (numeric) = -2.042176190229732 absolute error = 1.518785097687214e-13 relative error = 7.437091397663625e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920084665423704 y[1] (closed_form) = -2.031866048576304 y[1] (numeric) = -2.031866048576154 absolute error = 1.501021529293212e-13 relative error = 7.387403959748988e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.930232340127496 y[1] (closed_form) = -2.021521511158657 y[1] (numeric) = -2.021521511158508 absolute error = 1.48769885299771e-13 relative error = 7.3593026083854e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.629 Order of pole (three term test) = 32.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.940380014831287 y[1] (closed_form) = -2.011142636933066 y[1] (numeric) = -2.011142636932917 absolute error = 1.48769885299771e-13 relative error = 7.397281653112418e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950527689535078 y[1] (closed_form) = -2.000729485078446 y[1] (numeric) = -2.000729485078299 absolute error = 1.469935284603707e-13 relative error = 7.346996660800814e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960041134569883 y[1] (closed_form) = -1.990936076986249 y[1] (numeric) = -1.990936076986102 absolute error = 1.461053500406706e-13 relative error = 7.338525416739422e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970188809273674 y[1] (closed_form) = -1.980456681460596 y[1] (numeric) = -1.980456681460451 absolute error = 1.452171716209705e-13 relative error = 7.332509364146866e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980336483977466 y[1] (closed_form) = -1.969943183427189 y[1] (numeric) = -1.969943183427046 absolute error = 1.436628593864953e-13 relative error = 7.292741262545411e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990484158681257 y[1] (closed_form) = -1.95939564293683 y[1] (numeric) = -1.959395642936687 absolute error = 1.436628593864953e-13 relative error = 7.331998512110954e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.999997603716062 y[1] (closed_form) = -1.949476459856088 y[1] (numeric) = -1.949476459855945 absolute error = 1.423305917569451e-13 relative error = 7.300964884051591e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010145278419849 y[1] (closed_form) = -1.938863133813581 y[1] (numeric) = -1.938863133813436 absolute error = 1.449951270160454e-13 relative error = 7.478358038138164e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.020292953123637 y[1] (closed_form) = -1.928215942983929 y[1] (numeric) = -1.928215942983781 absolute error = 1.474376176702208e-13 relative error = 7.646322923876459e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.646 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.030440627827425 y[1] (closed_form) = -1.91753494828119 y[1] (numeric) = -1.917534948281041 absolute error = 1.496580637194711e-13 relative error = 7.804711139873578e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.039954072862226 y[1] (closed_form) = -1.907490869324701 y[1] (numeric) = -1.907490869324548 absolute error = 1.525446435834965e-13 relative error = 7.997136239897237e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.649 Order of pole (three term test) = 32.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.050101747566014 y[1] (closed_form) = -1.896744553774364 y[1] (numeric) = -1.896744553774208 absolute error = 1.554312234475219e-13 relative error = 8.194631329676244e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.060249422269802 y[1] (closed_form) = -1.885964614543753 y[1] (numeric) = -1.885964614543594 absolute error = 1.580957587066223e-13 relative error = 8.38275318038607e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.07039709697359 y[1] (closed_form) = -1.875151113401432 y[1] (numeric) = -1.875151113401271 absolute error = 1.609823385706477e-13 relative error = 8.585032823228506e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.080544771677378 y[1] (closed_form) = -1.864304112331576 y[1] (numeric) = -1.864304112331412 absolute error = 1.638689184346731e-13 relative error = 8.78981692690319e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.654 Order of pole (three term test) = 32.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.090058216712179 y[1] (closed_form) = -1.85410467939938 y[1] (numeric) = -1.854104679399213 absolute error = 1.669775429036235e-13 relative error = 9.005831480761613e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.100205891415967 y[1] (closed_form) = -1.843192949411129 y[1] (numeric) = -1.843192949410959 absolute error = 1.694200335577989e-13 relative error = 9.191660244356184e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.110353566119755 y[1] (closed_form) = -1.832247902815288 y[1] (numeric) = -1.832247902815115 absolute error = 1.729727472365994e-13 relative error = 9.440466378530062e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.120501240823542 y[1] (closed_form) = -1.821269602439388 y[1] (numeric) = -1.821269602439212 absolute error = 1.758593271006248e-13 relative error = 9.655864615819688e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.130014685858344 y[1] (closed_form) = -1.81094730070767 y[1] (numeric) = -1.810947300707492 absolute error = 1.780797731498751e-13 relative error = 9.83351492781078e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.140162360562131 y[1] (closed_form) = -1.799904750715529 y[1] (numeric) = -1.799904750715348 absolute error = 1.809663530139005e-13 relative error = 1.005421831027223e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.150310035265919 y[1] (closed_form) = -1.788829132727415 y[1] (numeric) = -1.788829132727231 absolute error = 1.84074977482851e-13 relative error = 1.029024930973665e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.160457709969707 y[1] (closed_form) = -1.777720510405187 y[1] (numeric) = -1.777720510405001 absolute error = 1.862954235321013e-13 relative error = 1.047945514729083e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.169971155004508 y[1] (closed_form) = -1.767276259136306 y[1] (numeric) = -1.767276259136117 absolute error = 1.891820033961267e-13 relative error = 1.070472159732303e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.180118829708296 y[1] (closed_form) = -1.756103872864971 y[1] (numeric) = -1.75610387286478 absolute error = 1.91402449445377e-13 relative error = 1.089926697406094e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.190266504412084 y[1] (closed_form) = -1.744898670481055 y[1] (numeric) = -1.744898670480861 absolute error = 1.942890293094024e-13 relative error = 1.113468836880014e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.200414179115872 y[1] (closed_form) = -1.7336607164716 y[1] (numeric) = -1.733660716471403 absolute error = 1.971756091734278e-13 relative error = 1.137336777029393e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.21056185381966 y[1] (closed_form) = -1.72239007553175 y[1] (numeric) = -1.72239007553155 absolute error = 2.000621890374532e-13 relative error = 1.161538212972392e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.220075298854461 y[1] (closed_form) = -1.711794220992199 y[1] (numeric) = -1.711794220991997 absolute error = 2.022826350867035e-13 relative error = 1.181699485873105e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.230222973558249 y[1] (closed_form) = -1.700460434002362 y[1] (numeric) = -1.700460434002157 absolute error = 2.047251257408789e-13 relative error = 1.20393936634573e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.240370648262036 y[1] (closed_form) = -1.689094151321877 y[1] (numeric) = -1.68909415132167 absolute error = 2.073896609999792e-13 relative error = 1.227815873009074e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.666 Order of pole (three term test) = 32.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.250518322965824 y[1] (closed_form) = -1.677695438459434 y[1] (numeric) = -1.677695438459224 absolute error = 2.100541962590796e-13 relative error = 1.252040098839183e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.260031768000625 y[1] (closed_form) = -1.666979750393572 y[1] (numeric) = -1.666979750393359 absolute error = 2.131628207280301e-13 relative error = 1.278736713374608e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.270179442704413 y[1] (closed_form) = -1.655518391237448 y[1] (numeric) = -1.655518391237232 absolute error = 2.156053113822054e-13 relative error = 1.302343196689269e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.280327117408201 y[1] (closed_form) = -1.644024795515112 y[1] (numeric) = -1.644024795514893 absolute error = 2.191580250610059e-13 relative error = 1.333057905567285e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.290474792111989 y[1] (closed_form) = -1.632499029539384 y[1] (numeric) = -1.632499029539161 absolute error = 2.222666495299563e-13 relative error = 1.361511679383171e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.29998823714679 y[1] (closed_form) = -1.621664465960745 y[1] (numeric) = -1.62166446596052 absolute error = 2.249311847890567e-13 relative error = 1.38703899302497e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.667 Order of pole (three term test) = 32.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.310135911850578 y[1] (closed_form) = -1.610076559582252 y[1] (numeric) = -1.610076559582025 absolute error = 2.273736754432321e-13 relative error = 1.412191700388621e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.320283586554366 y[1] (closed_form) = -1.598456678914292 y[1] (numeric) = -1.598456678914062 absolute error = 2.307043445171075e-13 relative error = 1.443294319829844e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.330431261258154 y[1] (closed_form) = -1.58680489106429 y[1] (numeric) = -1.586804891064056 absolute error = 2.33812968986058e-13 relative error = 1.473482784825781e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.666 Order of pole (three term test) = 32.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.339944706292955 y[1] (closed_form) = -1.575852421605233 y[1] (numeric) = -1.575852421604997 absolute error = 2.362554596402333e-13 relative error = 1.49922325467237e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.350092380996743 y[1] (closed_form) = -1.5641390053053 y[1] (numeric) = -1.564139005305061 absolute error = 2.395861287141088e-13 relative error = 1.531744479879808e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.360240055700531 y[1] (closed_form) = -1.552393880107271 y[1] (numeric) = -1.552393880107029 absolute error = 2.426947531830592e-13 relative error = 1.563358090321052e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.370387730404318 y[1] (closed_form) = -1.540617113903533 y[1] (numeric) = -1.540617113903287 absolute error = 2.460254222569347e-13 relative error = 1.596927750812586e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.380535405108106 y[1] (closed_form) = -1.528808774784276 y[1] (numeric) = -1.528808774784027 absolute error = 2.486899575160351e-13 relative error = 1.626691065735979e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.390048850142907 y[1] (closed_form) = -1.517709842963443 y[1] (numeric) = -1.517709842963192 absolute error = 2.515765373800605e-13 relative error = 1.657606284537486e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.663 Order of pole (three term test) = 32.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.400196524846695 y[1] (closed_form) = -1.505840525820736 y[1] (numeric) = -1.505840525820481 absolute error = 2.55129251058861e-13 relative error = 1.694264742408938e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.410344199550483 y[1] (closed_form) = -1.49393983691539 y[1] (numeric) = -1.493939836915132 absolute error = 2.577937863179613e-13 relative error = 1.725596840969451e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.420491874254271 y[1] (closed_form) = -1.482007845110307 y[1] (numeric) = -1.482007845110046 absolute error = 2.609024107869118e-13 relative error = 1.760465787328492e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.661 Order of pole (three term test) = 32.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.430005319289072 y[1] (closed_form) = -1.470793234810658 y[1] (numeric) = -1.470793234810394 absolute error = 2.637889906509372e-13 relative error = 1.793515121008127e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.44015299399286 y[1] (closed_form) = -1.458800790327256 y[1] (numeric) = -1.45880079032699 absolute error = 2.662314813051125e-13 relative error = 1.825002310599162e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.450300668696648 y[1] (closed_form) = -1.446777246352337 y[1] (numeric) = -1.446777246352068 absolute error = 2.69340105774063e-13 relative error = 1.861655665743515e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.460448343400436 y[1] (closed_form) = -1.434722672511623 y[1] (numeric) = -1.43472267251135 absolute error = 2.726707748479384e-13 relative error = 1.900512064611076e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.469961788435237 y[1] (closed_form) = -1.423393390199989 y[1] (numeric) = -1.423393390199713 absolute error = 2.755573547119639e-13 relative error = 1.935918465050956e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.480109463139025 y[1] (closed_form) = -1.411278894845505 y[1] (numeric) = -1.411278894845226 absolute error = 2.791100683907644e-13 relative error = 1.977710213127782e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.490257137842812 y[1] (closed_form) = -1.399133575259556 y[1] (numeric) = -1.399133575259274 absolute error = 2.817746036498647e-13 relative error = 2.013922106026168e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.654 Order of pole (three term test) = 32.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.5004048125466 y[1] (closed_form) = -1.386957501820677 y[1] (numeric) = -1.386957501820392 absolute error = 2.851052727237402e-13 relative error = 2.055616501222848e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.510552487250388 y[1] (closed_form) = -1.374750745096983 y[1] (numeric) = -1.374750745096695 absolute error = 2.884359417976157e-13 relative error = 2.098096275461685e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.520065932285189 y[1] (closed_form) = -1.363279106933733 y[1] (numeric) = -1.363279106933442 absolute error = 2.90878432451791e-13 relative error = 2.133667500457999e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.530213606988977 y[1] (closed_form) = -1.3510131028667 y[1] (numeric) = -1.351013102866406 absolute error = 2.939870569207415e-13 relative error = 2.176048894691943e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.540361281692765 y[1] (closed_form) = -1.338716623898869 y[1] (numeric) = -1.338716623898572 absolute error = 2.973177259946169e-13 relative error = 2.220916067574561e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.550508956396553 y[1] (closed_form) = -1.326389741338471 y[1] (numeric) = -1.32638974133817 absolute error = 3.002043058586423e-13 relative error = 2.263318966533198e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.560022401431354 y[1] (closed_form) = -1.314805739876586 y[1] (numeric) = -1.314805739876283 absolute error = 3.028688411177427e-13 relative error = 2.303525394908692e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.570170076135142 y[1] (closed_form) = -1.302420153973038 y[1] (numeric) = -1.302420153972732 absolute error = 3.061995101916182e-13 relative error = 2.351004084646228e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.58031775083893 y[1] (closed_form) = -1.290004375020011 y[1] (numeric) = -1.290004375019701 absolute error = 3.097522238704187e-13 relative error = 2.401171886456693e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.590465425542718 y[1] (closed_form) = -1.277558475055604 y[1] (numeric) = -1.277558475055291 absolute error = 3.128608483393691e-13 relative error = 2.44889650413655e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.599978870577519 y[1] (closed_form) = -1.265863152065346 y[1] (numeric) = -1.26586315206503 absolute error = 3.159694728083196e-13 relative error = 2.496079234890381e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.610126545281306 y[1] (closed_form) = -1.253359098326044 y[1] (numeric) = -1.253359098325725 absolute error = 3.18856052672345e-13 relative error = 2.544011952346309e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.620274219985094 y[1] (closed_form) = -1.24082513624727 y[1] (numeric) = -1.240825136246948 absolute error = 3.212985433265203e-13 relative error = 2.589394217933481e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.630421894688882 y[1] (closed_form) = -1.228261338586641 y[1] (numeric) = -1.228261338586316 absolute error = 3.246292124003958e-13 relative error = 2.642997888168867e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.64056956939267 y[1] (closed_form) = -1.215667778282851 y[1] (numeric) = -1.215667778282524 absolute error = 3.275157922644212e-13 relative error = 2.694122507113268e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.629 Order of pole (three term test) = 32.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.650083014427471 y[1] (closed_form) = -1.20383434999353 y[1] (numeric) = -1.2038343499932 absolute error = 3.304023721284466e-13 relative error = 2.744583356756868e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.660230689131259 y[1] (closed_form) = -1.191183332803675 y[1] (numeric) = -1.191183332803341 absolute error = 3.33510996597397e-13 relative error = 2.799829274075015e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.670378363835047 y[1] (closed_form) = -1.178502768268816 y[1] (numeric) = -1.178502768268479 absolute error = 3.368416656712725e-13 relative error = 2.858217008400265e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.622 Order of pole (three term test) = 32.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.680526038538835 y[1] (closed_form) = -1.165792730034039 y[1] (numeric) = -1.165792730033699 absolute error = 3.40172334745148e-13 relative error = 2.917948671160572e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.690039483573636 y[1] (closed_form) = -1.153850366729412 y[1] (numeric) = -1.153850366729069 absolute error = 3.426148253993233e-13 relative error = 2.969317645324019e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.700187158277424 y[1] (closed_form) = -1.14108343343628 y[1] (numeric) = -1.141083433435933 absolute error = 3.466116282879739e-13 relative error = 3.037566037079175e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.710334832981212 y[1] (closed_form) = -1.128287243800905 y[1] (numeric) = -1.128287243800555 absolute error = 3.499422973618493e-13 relative error = 3.101535529046533e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.613 Order of pole (three term test) = 32.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.720482507684999 y[1] (closed_form) = -1.115461872164183 y[1] (numeric) = -1.11546187216383 absolute error = 3.534950110406498e-13 relative error = 3.169046113201612e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.61 Order of pole (three term test) = 32.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.729995952719801 y[1] (closed_form) = -1.103411649333195 y[1] (numeric) = -1.103411649332838 absolute error = 3.566036355096003e-13 relative error = 3.231827720190377e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.740143627423588 y[1] (closed_form) = -1.090529949774069 y[1] (numeric) = -1.090529949773709 absolute error = 3.601563491884008e-13 relative error = 3.302580999843391e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.750291302127376 y[1] (closed_form) = -1.077619287599559 y[1] (numeric) = -1.077619287599196 absolute error = 3.632649736573512e-13 relative error = 3.370995469713044e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.760438976831164 y[1] (closed_form) = -1.064679737835691 y[1] (numeric) = -1.064679737835325 absolute error = 3.665956427312267e-13 relative error = 3.443248046369812e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.769952421865965 y[1] (closed_form) = -1.052522741003274 y[1] (numeric) = -1.052522741002904 absolute error = 3.701483564100272e-13 relative error = 3.516773006321919e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.780100096569753 y[1] (closed_form) = -1.039527435679706 y[1] (numeric) = -1.039527435679332 absolute error = 3.734790254839027e-13 relative error = 3.592776993323889e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.790247771273541 y[1] (closed_form) = -1.026503464149505 y[1] (numeric) = -1.026503464149128 absolute error = 3.770317391627032e-13 relative error = 3.672970938048295e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.800395445977329 y[1] (closed_form) = -1.013450902113047 y[1] (numeric) = -1.013450902112667 absolute error = 3.803624082365786e-13 relative error = 3.753140950819841e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.810543120681117 y[1] (closed_form) = -1.000369825440241 y[1] (numeric) = -1.000369825439857 absolute error = 3.834710327055291e-13 relative error = 3.833292677903113e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.820056565715918 y[1] (closed_form) = -0.9880804865952103 y[1] (numeric) = -0.9880804865948238 absolute error = 3.86468634872017e-13 relative error = 3.911307227650399e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.830204240419706 y[1] (closed_form) = -0.9749443793476905 y[1] (numeric) = -0.9749443793473006 absolute error = 3.89910326248355e-13 relative error = 3.999308417052814e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.840351915123493 y[1] (closed_form) = -0.9617799813054408 y[1] (numeric) = -0.9617799813050474 absolute error = 3.934630399271555e-13 relative error = 4.090988038585511e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.850499589827281 y[1] (closed_form) = -0.9485873689990656 y[1] (numeric) = -0.948587368998669 absolute error = 3.965716643961059e-13 relative error = 4.180655123149722e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.860013034862082 y[1] (closed_form) = -0.9361937388816619 y[1] (numeric) = -0.9361937388812621 absolute error = 3.997913111675189e-13 relative error = 4.270390780919908e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.87016070956587 y[1] (closed_form) = -0.9229466798414905 y[1] (numeric) = -0.9229466798410874 absolute error = 4.031219802413943e-13 relative error = 4.36777106463645e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.565 Order of pole (three term test) = 32.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.880308384269658 y[1] (closed_form) = -0.9096716323034792 y[1] (numeric) = -0.909671632303073 absolute error = 4.062306047103448e-13 relative error = 4.465683992823693e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.890456058973446 y[1] (closed_form) = -0.8963686734479317 y[1] (numeric) = -0.8963686734475218 absolute error = 4.098943406916078e-13 relative error = 4.57283205932361e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899969504008247 y[1] (closed_form) = -0.8838718691530241 y[1] (numeric) = -0.883871869152611 absolute error = 4.131139874630207e-13 relative error = 4.673912609741612e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.910117178712035 y[1] (closed_form) = -0.8705150523610516 y[1] (numeric) = -0.8705150523606351 absolute error = 4.165556788393587e-13 relative error = 4.785163423763402e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.551 Order of pole (three term test) = 32.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.920264853415823 y[1] (closed_form) = -0.8571305519100569 y[1] (numeric) = -0.8571305519096371 absolute error = 4.198863479132342e-13 relative error = 4.898744385876179e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.930412528119611 y[1] (closed_form) = -0.8437184456189517 y[1] (numeric) = -0.843718445618528 absolute error = 4.236611061969597e-13 relative error = 5.021356453646832e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.940560202823399 y[1] (closed_form) = -0.8302788114670563 y[1] (numeric) = -0.8302788114666294 absolute error = 4.268807529683727e-13 relative error = 5.141414511278425e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.9500736478582 y[1] (closed_form) = -0.8176542230458803 y[1] (numeric) = -0.8176542230454503 absolute error = 4.299893774373231e-13 relative error = 5.258816811775893e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.960221322561988 y[1] (closed_form) = -0.804161476165496 y[1] (numeric) = -0.8041614761650624 absolute error = 4.336531134185861e-13 relative error = 5.392612382856059e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.970368997265775 y[1] (closed_form) = -0.7906414314093713 y[1] (numeric) = -0.7906414314089345 absolute error = 4.367617378875366e-13 relative error = 5.524144328092945e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.980516671969563 y[1] (closed_form) = -0.7770941673814014 y[1] (numeric) = -0.7770941673809605 absolute error = 4.408695630786497e-13 relative error = 5.673309382365611e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.990030117004364 y[1] (closed_form) = -0.7643689567657668 y[1] (numeric) = -0.7643689567653226 absolute error = 4.442002321525251e-13 relative error = 5.811332710737569e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.000177791708152 y[1] (closed_form) = -0.7507691796670484 y[1] (numeric) = -0.7507691796666011 absolute error = 4.473088566214756e-13 relative error = 5.958007717096863e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.01032546641194 y[1] (closed_form) = -0.7371424150996568 y[1] (numeric) = -0.7371424150992059 absolute error = 4.509725926027386e-13 relative error = 6.117848917183391e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.020473141115728 y[1] (closed_form) = -0.7234887422807643 y[1] (numeric) = -0.7234887422803096 absolute error = 4.547473508864641e-13 relative error = 6.285479293746775e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.029986586150529 y[1] (closed_form) = -0.7106640564361433 y[1] (numeric) = -0.7106640564356856 absolute error = 4.576339307504895e-13 relative error = 6.439525491769545e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.040134260854317 y[1] (closed_form) = -0.6969584748828594 y[1] (numeric) = -0.6969584748823987 absolute error = 4.6074255521944e-13 relative error = 6.610760494689138e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.498 Order of pole (three term test) = 32.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.050281935558105 y[1] (closed_form) = -0.6832262186660629 y[1] (numeric) = -0.6832262186655977 absolute error = 4.651834473179406e-13 relative error = 6.808629918011182e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.060429610261893 y[1] (closed_form) = -0.6694673676048217 y[1] (numeric) = -0.6694673676043531 absolute error = 4.686251386942786e-13 relative error = 6.999969847236858e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.489 Order of pole (three term test) = 32.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.069943055296694 y[1] (closed_form) = -0.6565443623279807 y[1] (numeric) = -0.656544362327509 absolute error = 4.71733763163229e-13 relative error = 7.185101117775977e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.080090730000482 y[1] (closed_form) = -0.6427342114604864 y[1] (numeric) = -0.6427342114600111 absolute error = 4.752864768420295e-13 relative error = 7.39475927011937e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.090238404704269 y[1] (closed_form) = -0.6288977010877881 y[1] (numeric) = -0.628897701087309 absolute error = 4.79061235125755e-13 relative error = 7.617474738691765e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.100386079408057 y[1] (closed_form) = -0.6150349116193821 y[1] (numeric) = -0.6150349116189 absolute error = 4.82058837292243e-13 relative error = 7.837910144368648e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.110533754111845 y[1] (closed_form) = -0.60114592361288 y[1] (numeric) = -0.6011459236123939 absolute error = 4.860556401808935e-13 relative error = 8.085485089206041e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.120047199146646 y[1] (closed_form) = -0.5881012755300763 y[1] (numeric) = -0.5881012755295867 absolute error = 4.89608353859694e-13 relative error = 8.325238768074306e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.130194873850434 y[1] (closed_form) = -0.5741617576488132 y[1] (numeric) = -0.57416175764832 absolute error = 4.931610675384945e-13 relative error = 8.589235715697687e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.140342548554222 y[1] (closed_form) = -0.5601962787168913 y[1] (numeric) = -0.5601962787163948 absolute error = 4.9649173661237e-13 relative error = 8.862817470861567e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.452 Order of pole (three term test) = 32.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.15049022325801 y[1] (closed_form) = -0.5462049198678476 y[1] (numeric) = -0.5462049198673479 absolute error = 4.99711383383783e-13 relative error = 9.148789496526073e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.160003668292811 y[1] (closed_form) = -0.5330645890023031 y[1] (numeric) = -0.5330645890018002 absolute error = 5.029310301551959e-13 relative error = 9.434710924927391e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.170151342996599 y[1] (closed_form) = -0.5190233192345204 y[1] (numeric) = -0.5190233192340136 absolute error = 5.06816810741384e-13 relative error = 9.764817725123813e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.180299017700387 y[1] (closed_form) = -0.5049564087117409 y[1] (numeric) = -0.5049564087112304 absolute error = 5.10480546722647e-13 relative error = 1.010939831469808e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.432 Order of pole (three term test) = 32.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.190446692404175 y[1] (closed_form) = -0.4908639391317702 y[1] (numeric) = -0.4908639391312564 absolute error = 5.137557046452912e-13 relative error = 1.046635663548664e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.199960137438976 y[1] (closed_form) = -0.4776291088611646 y[1] (numeric) = -0.4776291088606475 absolute error = 5.170863737191667e-13 relative error = 1.082610678716969e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.210107812142764 y[1] (closed_form) = -0.4634873516232008 y[1] (numeric) = -0.46348735162268 absolute error = 5.207501097004297e-13 relative error = 1.123547617592338e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.220255486846551 y[1] (closed_form) = -0.4493202761304937 y[1] (numeric) = -0.4493202761299696 absolute error = 5.241918010767677e-13 relative error = 1.166632865071349e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.230403161550339 y[1] (closed_form) = -0.4351279646333794 y[1] (numeric) = -0.4351279646328517 absolute error = 5.277445147555682e-13 relative error = 1.21284899535295e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.240550836254127 y[1] (closed_form) = -0.4209104995206405 y[1] (numeric) = -0.4209104995201086 absolute error = 5.319633622491438e-13 relative error = 1.263839611639475e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.250064281288928 y[1] (closed_form) = -0.4075588547725448 y[1] (numeric) = -0.4075588547720095 absolute error = 5.353495424742505e-13 relative error = 1.313551493741989e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.260211955992716 y[1] (closed_form) = -0.393292889497119 y[1] (numeric) = -0.3932928894965802 absolute error = 5.388467450018197e-13 relative error = 1.370090228915178e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.270359630696504 y[1] (closed_form) = -0.3790020134165046 y[1] (numeric) = -0.3790020134159624 absolute error = 5.422329252269265e-13 relative error = 1.430686133667156e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.280507305400292 y[1] (closed_form) = -0.3646863094571822 y[1] (numeric) = -0.364686309456636 absolute error = 5.461742169643458e-13 relative error = 1.497654841437014e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.378 Order of pole (three term test) = 32.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.290020750435093 y[1] (closed_form) = -0.3512428621012229 y[1] (numeric) = -0.3512428621006736 absolute error = 5.492828414332962e-13 relative error = 1.563826345530123e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.300168425138881 y[1] (closed_form) = -0.3368792906133395 y[1] (numeric) = -0.3368792906127867 absolute error = 5.528355551120967e-13 relative error = 1.641049392218727e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.310316099842669 y[1] (closed_form) = -0.3224911356191955 y[1] (numeric) = -0.3224911356186388 absolute error = 5.567213356982847e-13 relative error = 1.726315157870489e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.320463774546456 y[1] (closed_form) = -0.3080784805710532 y[1] (numeric) = -0.3080784805704926 absolute error = 5.606071162844728e-13 relative error = 1.819689305287839e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.329977219581258 y[1] (closed_form) = -0.2945444397656618 y[1] (numeric) = -0.2945444397650979 absolute error = 5.639377853583483e-13 relative error = 1.914610188557674e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.340124894285045 y[1] (closed_form) = -0.2800845538342045 y[1] (numeric) = -0.2800845538336372 absolute error = 5.672684544322237e-13 relative error = 2.025347155587941e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.350272568988833 y[1] (closed_form) = -0.265600413748095 y[1] (numeric) = -0.2656004137475239 absolute error = 5.710432127159493e-13 relative error = 2.150008746814481e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.337 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.360420243692621 y[1] (closed_form) = -0.2510921034733875 y[1] (numeric) = -0.2510921034728129 absolute error = 5.74651437545981e-13 relative error = 2.288608162490011e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.370567918396409 y[1] (closed_form) = -0.2365597071047054 y[1] (numeric) = -0.2365597071041271 absolute error = 5.782874179516284e-13 relative error = 2.444572767819958e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.38008136343121 y[1] (closed_form) = -0.2229137853389764 y[1] (numeric) = -0.2229137853383949 absolute error = 5.815625758742726e-13 relative error = 2.6089125667572e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.390229038134998 y[1] (closed_form) = -0.2083349619481589 y[1] (numeric) = -0.208334961947573 absolute error = 5.858924456703107e-13 relative error = 2.812261754779793e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.400376712838786 y[1] (closed_form) = -0.1937323002274365 y[1] (numeric) = -0.193732300226847 absolute error = 5.894451593491112e-13 relative error = 3.042575547067364e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.410524387542574 y[1] (closed_form) = -0.1791058847700848 y[1] (numeric) = -0.1791058847694917 absolute error = 5.931088953303743e-13 relative error = 3.311498648365117e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.420037832577375 y[1] (closed_form) = -0.1653721223974536 y[1] (numeric) = -0.165372122396857 absolute error = 5.966060978579435e-13 relative error = 3.607658226844709e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.430185507281163 y[1] (closed_form) = -0.1506999252678285 y[1] (numeric) = -0.1506999252672281 absolute error = 6.004363672929003e-13 relative error = 3.984317618112859e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.440333181984951 y[1] (closed_form) = -0.1360042236126027 y[1] (numeric) = -0.1360042236119988 absolute error = 6.038780586692383e-13 relative error = 4.440141950218674e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.282 Order of pole (three term test) = 32.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.450480856688738 y[1] (closed_form) = -0.1212851025115491 y[1] (numeric) = -0.1212851025109409 absolute error = 6.081940506774686e-13 relative error = 5.014581659932675e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.45999430172354 y[1] (closed_form) = -0.1074647326318177 y[1] (numeric) = -0.1074647326312059 absolute error = 6.117606421440769e-13 relative error = 5.692664255165603e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.269 Order of pole (three term test) = 32.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.470141976427327 y[1] (closed_form) = -0.09270047891976629 y[1] (numeric) = -0.09270047891915097 absolute error = 6.153272336106852e-13 relative error = 6.637799942147662e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.480289651131115 y[1] (closed_form) = -0.07791305638406598 y[1] (numeric) = -0.07791305638344707 absolute error = 6.189077028651013e-13 relative error = 7.943568531238806e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.256 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.490437325834903 y[1] (closed_form) = -0.0631025505787608 y[1] (numeric) = -0.06310255057813806 absolute error = 6.227379723000581e-13 relative error = 9.8686656337733e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.499950770869704 y[1] (closed_form) = -0.04919681327412517 y[1] (numeric) = -0.04919681327349884 absolute error = 6.263323193422821e-13 relative error = 1.273115630177816e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.510098445573492 y[1] (closed_form) = -0.0343418275372529 y[1] (numeric) = -0.03434182753662304 absolute error = 6.298642163393708e-13 relative error = 1.834102205702695e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.52024612027728 y[1] (closed_form) = -0.01946401052809588 y[1] (numeric) = -0.01946401052746179 absolute error = 6.340900027268503e-13 relative error = 3.25775616392909e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.530393794981068 y[1] (closed_form) = -0.004563448262675962 y[1] (numeric) = -0.004563448262038268 absolute error = 6.376938907481922e-13 relative error = 1.397394807702399e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.222 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.540541469684856 y[1] (closed_form) = 0.01035977312762015 y[1] (numeric) = 0.01035977312826167 absolute error = 6.415163539275071e-13 relative error = 6.192378404669526e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.550054914719657 y[1] (closed_form) = 0.02437079557363764 y[1] (numeric) = 0.02437079557428286 absolute error = 6.452199885487175e-13 relative error = 2.647513030910917e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.560202589423445 y[1] (closed_form) = 0.03933767348683159 y[1] (numeric) = 0.0393376734874803 absolute error = 6.48703313288479e-13 relative error = 1.649063749297819e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.570350264127232 y[1] (closed_form) = 0.05432695685439293 y[1] (numeric) = 0.05432695685504529 absolute error = 6.52367049269742e-13 relative error = 1.200816476833436e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.58049793883102 y[1] (closed_form) = 0.06933855909846431 y[1] (numeric) = 0.06933855909912112 absolute error = 6.568079413682426e-13 relative error = 9.472477506138275e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.590011383865821 y[1] (closed_form) = 0.08343212918598941 y[1] (numeric) = 0.08343212918664995 absolute error = 6.605410662885447e-13 relative error = 7.917106667816744e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.181 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.600159058569609 y[1] (closed_form) = 0.09848672746300879 y[1] (numeric) = 0.09848672746367253 absolute error = 6.63732957484342e-13 relative error = 6.739313759142188e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.610306733273397 y[1] (closed_form) = 0.1135633896527728 y[1] (numeric) = 0.1135633896534405 absolute error = 6.677436381608004e-13 relative error = 5.879919930203462e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.620454407977185 y[1] (closed_form) = 0.1286620287433948 y[1] (numeric) = 0.1286620287440663 absolute error = 6.71435129717679e-13 relative error = 5.218595853612706e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.629967853011986 y[1] (closed_form) = 0.1428368849080022 y[1] (numeric) = 0.1428368849086772 absolute error = 6.750433545477108e-13 relative error = 4.725973651571092e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.640115527715774 y[1] (closed_form) = 0.1579778562304608 y[1] (numeric) = 0.1579778562311396 absolute error = 6.787903572558207e-13 relative error = 4.296743692138661e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.650263202419562 y[1] (closed_form) = 0.1731405482333888 y[1] (numeric) = 0.1731405482340722 absolute error = 6.83481049534862e-13 relative error = 3.947550452558046e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.66041087712335 y[1] (closed_form) = 0.1883248734833718 y[1] (numeric) = 0.1883248734840588 absolute error = 6.870337632136625e-13 relative error = 3.648130756738962e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.670558551827138 y[1] (closed_form) = 0.2035307444419354 y[1] (numeric) = 0.2035307444426261 absolute error = 6.907252547705411e-13 relative error = 3.39371457940889e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.680071996861939 y[1] (closed_form) = 0.2178057384077796 y[1] (numeric) = 0.217805738408474 absolute error = 6.943889907518042e-13 relative error = 3.188111552193162e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.690219671565727 y[1] (closed_form) = 0.2330531046795672 y[1] (numeric) = 0.2330531046802654 absolute error = 6.982470157623766e-13 relative error = 2.996085448947014e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.700367346269514 y[1] (closed_form) = 0.2483217589158326 y[1] (numeric) = 0.2483217589165341 absolute error = 7.014944181094052e-13 relative error = 2.824941403331365e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.710515020973302 y[1] (closed_form) = 0.2636116131723347 y[1] (numeric) = 0.2636116131730413 absolute error = 7.065459328714496e-13 relative error = 2.680253439401962e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.720028466008103 y[1] (closed_form) = 0.2779650271667291 y[1] (numeric) = 0.277965027167439 absolute error = 7.098766019453251e-13 relative error = 2.55383423296459e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.730176140711891 y[1] (closed_form) = 0.2932957058225736 y[1] (numeric) = 0.293295705823287 absolute error = 7.134293156241256e-13 relative error = 2.432457419119896e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.740323815415679 y[1] (closed_form) = 0.3086473255811577 y[1] (numeric) = 0.308647325581875 absolute error = 7.173150962103136e-13 relative error = 2.324060624402521e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.750471490119467 y[1] (closed_form) = 0.3240197981051134 y[1] (numeric) = 0.3240197981058346 absolute error = 7.212008767965017e-13 relative error = 2.225792624444945e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.063 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.759984935154268 y[1] (closed_form) = 0.3384503510005028 y[1] (numeric) = 0.3384503510012277 absolute error = 7.24920123928996e-13 relative error = 2.141880254477618e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.770132609858056 y[1] (closed_form) = 0.3538629740107886 y[1] (numeric) = 0.3538629740115171 absolute error = 7.284728376077965e-13 relative error = 2.058629727069401e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 1.047 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.780280284561844 y[1] (closed_form) = 0.3692961897327536 y[1] (numeric) = 0.3692961897334869 absolute error = 7.333023077649159e-13 relative error = 1.98567526054244e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.790427959265632 y[1] (closed_form) = 0.3847499094485951 y[1] (numeric) = 0.3847499094493317 absolute error = 7.366329768387914e-13 relative error = 1.914576088905383e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.799941404300433 y[1] (closed_form) = 0.3992563144955281 y[1] (numeric) = 0.3992563144962686 absolute error = 7.405187574249794e-13 relative error = 1.854745261476068e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.810089079004221 y[1] (closed_form) = 0.4147495078823906 y[1] (numeric) = 0.4147495078831352 absolute error = 7.446265826160925e-13 relative error = 1.795364595893009e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.820236753708008 y[1] (closed_form) = 0.4302629441106107 y[1] (numeric) = 0.4302629441113594 absolute error = 7.486788966559743e-13 relative error = 1.740049676375352e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.830384428411796 y[1] (closed_form) = 0.4457965340946941 y[1] (numeric) = 0.4457965340954466 absolute error = 7.524536549396998e-13 relative error = 1.687885834437347e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.840532103115584 y[1] (closed_form) = 0.4613501886578 y[1] (numeric) = 0.4613501886585569 absolute error = 7.568945470382005e-13 relative error = 1.640607429337406e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.850045548150385 y[1] (closed_form) = 0.4759498831414561 y[1] (numeric) = 0.4759498831422169 absolute error = 7.607248164731573e-13 relative error = 1.598329663308403e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.860193222854173 y[1] (closed_form) = 0.4915421587182465 y[1] (numeric) = 0.491542158719011 absolute error = 7.644995747568828e-13 relative error = 1.555308250161908e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.870340897557961 y[1] (closed_form) = 0.5071542363966952 y[1] (numeric) = 0.5071542363974638 absolute error = 7.686073999479959e-13 relative error = 1.515529881814479e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.880488572261749 y[1] (closed_form) = 0.5227860266483331 y[1] (numeric) = 0.5227860266491055 absolute error = 7.723821582317214e-13 relative error = 1.477434588647271e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9593 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.89000201729655 y[1] (closed_form) = 0.5374586533373461 y[1] (numeric) = 0.5374586533381221 absolute error = 7.760458942129844e-13 relative error = 1.443917386749906e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.900149692000338 y[1] (closed_form) = 0.5531283816029166 y[1] (numeric) = 0.5531283816036963 absolute error = 7.797096301942474e-13 relative error = 1.409635911168974e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.9431 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.910297366704126 y[1] (closed_form) = 0.5688175589502759 y[1] (numeric) = 0.5688175589510601 absolute error = 7.842615445952106e-13 relative error = 1.378757621411206e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.920445041407914 y[1] (closed_form) = 0.5845260955121901 y[1] (numeric) = 0.5845260955129779 absolute error = 7.877032359715486e-13 relative error = 1.347592933864355e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.929958486442715 y[1] (closed_form) = 0.5992703506472783 y[1] (numeric) = 0.5992703506480699 absolute error = 7.915890165577366e-13 relative error = 1.320921376641999e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.940106161146502 y[1] (closed_form) = 0.6150161396389757 y[1] (numeric) = 0.6150161396397713 absolute error = 7.955858194463872e-13 relative error = 1.29360153038164e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.95025383585029 y[1] (closed_form) = 0.6307810233776532 y[1] (numeric) = 0.6307810233784525 absolute error = 7.993605777301127e-13 relative error = 1.267255272598031e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.960401510554078 y[1] (closed_form) = 0.646564911670221 y[1] (numeric) = 0.6465649116710241 absolute error = 8.031353360138382e-13 relative error = 1.242157317103956e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8929 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.970549185257866 y[1] (closed_form) = 0.6623677142428943 y[1] (numeric) = 0.6623677142437022 absolute error = 8.079092950197264e-13 relative error = 1.219729279744847e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8843 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.980062630292667 y[1] (closed_form) = 0.677199939314288 y[1] (numeric) = 0.6771999393150998 absolute error = 8.117950756059145e-13 relative error = 1.198752434071263e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.990210304996455 y[1] (closed_form) = 0.6930391311147428 y[1] (numeric) = 0.6930391311155581 absolute error = 8.15347789284715e-13 relative error = 1.176481604975524e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.000357979700243 y[1] (closed_form) = 0.7088969715573551 y[1] (numeric) = 0.7088969715581747 absolute error = 8.195666367782906e-13 relative error = 1.156115302591586e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.010505654404031 y[1] (closed_form) = 0.7247733700587459 y[1] (numeric) = 0.7247733700595694 absolute error = 8.235634396669411e-13 relative error = 1.136304772897751e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.8501 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.020019099438832 y[1] (closed_form) = 0.7396742675195601 y[1] (numeric) = 0.7396742675203876 absolute error = 8.274492202531292e-13 relative error = 1.118667035731709e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.03016677414262 y[1] (closed_form) = 0.7555863642012242 y[1] (numeric) = 0.7555863642020555 absolute error = 8.313350008393172e-13 relative error = 1.10025146062313e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.040314448846408 y[1] (closed_form) = 0.7715167524133832 y[1] (numeric) = 0.7715167524142192 absolute error = 8.359979375427429e-13 relative error = 1.083577167867912e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.050462123550195 y[1] (closed_form) = 0.7874653412760789 y[1] (numeric) = 0.7874653412769189 absolute error = 8.399947404313934e-13 relative error = 1.066706934771493e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.059975568584997 y[1] (closed_form) = 0.8024335923404905 y[1] (numeric) = 0.8024335923413339 absolute error = 8.434364318077314e-13 relative error = 1.051098109374567e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.070123243288784 y[1] (closed_form) = 0.8184171860733849 y[1] (numeric) = 0.8184171860742321 absolute error = 8.47211190091457e-13 relative error = 1.035182550547625e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.080270917992572 y[1] (closed_form) = 0.8344187130764947 y[1] (numeric) = 0.8344187130773463 absolute error = 8.515410598874951e-13 relative error = 1.020520089665619e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.09041859269636 y[1] (closed_form) = 0.8504380821863387 y[1] (numeric) = 0.8504380821871937 absolute error = 8.550937735662956e-13 relative error = 1.005474462488777e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.100566267400148 y[1] (closed_form) = 0.8664752021695116 y[1] (numeric) = 0.8664752021703714 absolute error = 8.598677325721837e-13 relative error = 9.923743119470889e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.110079712434949 y[1] (closed_form) = 0.8815260423596454 y[1] (numeric) = 0.8815260423605087 absolute error = 8.633094239485217e-13 relative error = 9.7933513301279e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.120227387138737 y[1] (closed_form) = 0.897597294779458 y[1] (numeric) = 0.8975972947803252 absolute error = 8.671952045347098e-13 relative error = 9.661294765240818e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.130375061842525 y[1] (closed_form) = 0.9136860296781592 y[1] (numeric) = 0.9136860296790306 absolute error = 8.714140520282854e-13 relative error = 9.537346787881129e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.140522736546313 y[1] (closed_form) = 0.929792155555255 y[1] (numeric) = 0.9297921555561306 absolute error = 8.75632899521861e-13 relative error = 9.417512228837303e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.150036181581114 y[1] (closed_form) = 0.9449073616786368 y[1] (numeric) = 0.9449073616795162 absolute error = 8.794076578055865e-13 relative error = 9.306813487444003e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.160183856284902 y[1] (closed_form) = 0.961046921948335 y[1] (numeric) = 0.9610469219492181 absolute error = 8.83182416089312e-13 relative error = 9.189794961299415e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.170331530988689 y[1] (closed_form) = 0.9772036040367059 y[1] (numeric) = 0.977203604037594 absolute error = 8.880673973976627e-13 relative error = 9.087844065752187e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.709 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.180479205692477 y[1] (closed_form) = 0.9933773161893147 y[1] (numeric) = 0.9933773161902069 absolute error = 8.921752225887758e-13 relative error = 8.981232086225209e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.189992650727278 y[1] (closed_form) = 1.008555556439725 y[1] (numeric) = 1.008555556440621 absolute error = 8.961720254774264e-13 relative error = 8.88569816263746e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6911 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.200140325431066 y[1] (closed_form) = 1.024762003003604 y[1] (numeric) = 1.024762003004504 absolute error = 9.00612917575927e-13 relative error = 8.788508111504989e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6819 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.210288000134854 y[1] (closed_form) = 1.040985209745394 y[1] (numeric) = 1.040985209746298 absolute error = 9.046097204645775e-13 relative error = 8.689938262291247e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6726 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.220435674838642 y[1] (closed_form) = 1.057225084669899 y[1] (numeric) = 1.057225084670808 absolute error = 9.090506125630782e-13 relative error = 8.598458603987005e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.229949119873443 y[1] (closed_form) = 1.072465023645865 y[1] (numeric) = 1.072465023646779 absolute error = 9.132694600566538e-13 relative error = 8.515610671870461e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.240096794577231 y[1] (closed_form) = 1.08873693116359 y[1] (numeric) = 1.088736931164508 absolute error = 9.179323967600794e-13 relative error = 8.43116799371394e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.250244469281019 y[1] (closed_form) = 1.105025236289878 y[1] (numeric) = 1.105025236290799 absolute error = 9.212630658339549e-13 relative error = 8.337031911842081e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.260392143984807 y[1] (closed_form) = 1.121329846801991 y[1] (numeric) = 1.121329846802917 absolute error = 9.252598687226055e-13 relative error = 8.251451358058707e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.6265 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.270539818688595 y[1] (closed_form) = 1.137650670421514 y[1] (numeric) = 1.137650670422443 absolute error = 9.294787162161811e-13 relative error = 8.170159262261037e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.280053263723396 y[1] (closed_form) = 1.152966085250074 y[1] (numeric) = 1.152966085251007 absolute error = 9.330314298949816e-13 relative error = 8.092444711351684e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.290200938427184 y[1] (closed_form) = 1.169318058964205 y[1] (numeric) = 1.169318058965142 absolute error = 9.368061881787071e-13 relative error = 8.011560079800193e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5988 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.300348613130971 y[1] (closed_form) = 1.185685974404032 y[1] (numeric) = 1.185685974404974 absolute error = 9.419132140919828e-13 relative error = 7.94403606372608e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.310496287834759 y[1] (closed_form) = 1.202069739080222 y[1] (numeric) = 1.202069739081167 absolute error = 9.454659277707833e-13 relative error = 7.865316770175232e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.32000973286956 y[1] (closed_form) = 1.217443830495968 y[1] (numeric) = 1.217443830496918 absolute error = 9.494627306594339e-13 relative error = 7.798821653009133e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.330157407573348 y[1] (closed_form) = 1.233858039678993 y[1] (numeric) = 1.233858039679946 absolute error = 9.532374889431594e-13 relative error = 7.725665824499215e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5613 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.340305082277136 y[1] (closed_form) = 1.2502878261166 y[1] (numeric) = 1.250287826117557 absolute error = 9.57456336436735e-13 relative error = 7.657887379505237e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.350452756980924 y[1] (closed_form) = 1.266733097121823 y[1] (numeric) = 1.266733097122785 absolute error = 9.614531393253856e-13 relative error = 7.590021461584353e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.359966202015725 y[1] (closed_form) = 1.282164519354955 y[1] (numeric) = 1.282164519355921 absolute error = 9.652278976091111e-13 relative error = 7.528112680069388e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5331 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.370113876719513 y[1] (closed_form) = 1.298639527771547 y[1] (numeric) = 1.298639527772517 absolute error = 9.698908343125368e-13 relative error = 7.468514653768934e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.380261551423301 y[1] (closed_form) = 1.31512974821299 y[1] (numeric) = 1.315129748213964 absolute error = 9.736655925962623e-13 relative error = 7.403570590044728e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.390409226127089 y[1] (closed_form) = 1.331635087808005 y[1] (numeric) = 1.331635087808983 absolute error = 9.781064846947629e-13 relative error = 7.345154041448524e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.400556900830876 y[1] (closed_form) = 1.348155453640627 y[1] (numeric) = 1.348155453641609 absolute error = 9.821032875834135e-13 relative error = 7.284792602598555e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4945 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.410070345865678 y[1] (closed_form) = 1.363656860817771 y[1] (numeric) = 1.363656860818757 absolute error = 9.85878045867139e-13 relative error = 7.229663665358731e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.420218020569465 y[1] (closed_form) = 1.380206075411575 y[1] (numeric) = 1.380206075412564 absolute error = 9.898748487557896e-13 relative error = 7.17193516526589e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.430365695273253 y[1] (closed_form) = 1.396770043052109 y[1] (numeric) = 1.396770043053104 absolute error = 9.945377854592152e-13 relative error = 7.120268582550866e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.440513369977041 y[1] (closed_form) = 1.413348670655836 y[1] (numeric) = 1.413348670656835 absolute error = 9.987566329527908e-13 relative error = 7.066597603897261e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.450026815011842 y[1] (closed_form) = 1.428904365445773 y[1] (numeric) = 1.428904365446776 absolute error = 1.002531391236516e-12 relative error = 7.01608459936196e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.46017448971563 y[1] (closed_form) = 1.445511131689813 y[1] (numeric) = 1.445511131690819 absolute error = 1.006750238730092e-12 relative error = 6.9646661077815e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.470322164419418 y[1] (closed_form) = 1.462132284233553 y[1] (numeric) = 1.462132284234564 absolute error = 1.010969086223668e-12 relative error = 6.914347608114101e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4275 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.480469839123206 y[1] (closed_form) = 1.478767729839254 y[1] (numeric) = 1.478767729840269 absolute error = 1.015187933717243e-12 relative error = 6.865093910506127e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.489983284158007 y[1] (closed_form) = 1.494376358151046 y[1] (numeric) = 1.494376358152065 absolute error = 1.018740647396044e-12 relative error = 6.817162502868458e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.500130958861795 y[1] (closed_form) = 1.511039231099815 y[1] (numeric) = 1.511039231100839 absolute error = 1.023625628704394e-12 relative error = 6.774315369425219e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.510278633565583 y[1] (closed_form) = 1.52771612301376 y[1] (numeric) = 1.527716123014788 absolute error = 1.02784447619797e-12 relative error = 6.72798081210479e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.520426308269371 y[1] (closed_form) = 1.544406940514337 y[1] (numeric) = 1.544406940515368 absolute error = 1.03139718987677e-12 relative error = 6.678273470677893e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.529939753304172 y[1] (closed_form) = 1.560067146113099 y[1] (numeric) = 1.560067146114134 absolute error = 1.035393992765421e-12 relative error = 6.636855313215853e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.54008742800796 y[1] (closed_form) = 1.576784678585328 y[1] (numeric) = 1.576784678586368 absolute error = 1.039612840258997e-12 relative error = 6.593245446751323e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.550235102711747 y[1] (closed_form) = 1.593515862153494 y[1] (numeric) = 1.593515862154537 absolute error = 1.043831687752572e-12 relative error = 6.550494491733062e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.560382777415535 y[1] (closed_form) = 1.610260603311662 y[1] (numeric) = 1.610260603312711 absolute error = 1.049160758270773e-12 relative error = 6.515471819363084e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3399 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.570530452119323 y[1] (closed_form) = 1.62701880852369 y[1] (numeric) = 1.627018808524743 absolute error = 1.052713471949573e-12 relative error = 6.470198540020414e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.580043897154124 y[1] (closed_form) = 1.642741770800026 y[1] (numeric) = 1.642741770801083 absolute error = 1.057154364048074e-12 relative error = 6.435304579448496e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.590191571857912 y[1] (closed_form) = 1.659525796331457 y[1] (numeric) = 1.659525796332518 absolute error = 1.061595256146575e-12 relative error = 6.396979537728997e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.6003392465617 y[1] (closed_form) = 1.676323010987843 y[1] (numeric) = 1.676323010988908 absolute error = 1.06581410364015e-12 relative error = 6.358047325330666e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.610486921265488 y[1] (closed_form) = 1.693133321122503 y[1] (numeric) = 1.693133321123573 absolute error = 1.069810906528801e-12 relative error = 6.318527272380089e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.620000366300289 y[1] (closed_form) = 1.708904796927 y[1] (numeric) = 1.708904796928074 absolute error = 1.074473843232226e-12 relative error = 6.287499720080225e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2813 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.630148041004077 y[1] (closed_form) = 1.725740212964071 y[1] (numeric) = 1.72574021296515 absolute error = 1.079136779935652e-12 relative error = 6.253182094436825e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.640295715707865 y[1] (closed_form) = 1.74258844924557 y[1] (numeric) = 1.742588449246654 absolute error = 1.083799716639078e-12 relative error = 6.219481812290756e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.650443390411652 y[1] (closed_form) = 1.759449412027735 y[1] (numeric) = 1.759449412028823 absolute error = 1.088240608737578e-12 relative error = 6.185120193273417e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.659956835446454 y[1] (closed_form) = 1.775268039499313 y[1] (numeric) = 1.775268039500405 absolute error = 1.092237411626229e-12 relative error = 6.152521125397368e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.670104510150241 y[1] (closed_form) = 1.792153393026283 y[1] (numeric) = 1.792153393027379 absolute error = 1.09623421451488e-12 relative error = 6.116854833858538e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.680252184854029 y[1] (closed_form) = 1.809051197554677 y[1] (numeric) = 1.809051197555777 absolute error = 1.10067510661338e-12 relative error = 6.084267311512135e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.690399859557817 y[1] (closed_form) = 1.825961359257121 y[1] (numeric) = 1.825961359258226 absolute error = 1.105560087921731e-12 relative error = 6.054674061512014e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.700547534261605 y[1] (closed_form) = 1.842883784287155 y[1] (numeric) = 1.842883784288264 absolute error = 1.109112801600531e-12 relative error = 6.018354554188813e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.710060979296406 y[1] (closed_form) = 1.858759611873302 y[1] (numeric) = 1.858759611874416 absolute error = 1.113775738303957e-12 relative error = 5.992037545842021e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.720208654000194 y[1] (closed_form) = 1.875705529974086 y[1] (numeric) = 1.875705529975205 absolute error = 1.118660719612308e-12 relative error = 5.963946375035546e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.730356328703982 y[1] (closed_form) = 1.892663435626366 y[1] (numeric) = 1.892663435627488 absolute error = 1.122435477896033e-12 relative error = 5.930454706145733e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.172 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.74050400340777 y[1] (closed_form) = 1.909633234916975 y[1] (numeric) = 1.909633234918102 absolute error = 1.126654325389609e-12 relative error = 5.899846655311234e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.750017448442571 y[1] (closed_form) = 1.925553140063153 y[1] (numeric) = 1.925553140064283 absolute error = 1.129984994463484e-12 relative error = 5.868365670897162e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.760165123146359 y[1] (closed_form) = 1.94254571597455 y[1] (numeric) = 1.942545715975684 absolute error = 1.134425886561985e-12 relative error = 5.839892864466555e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1423 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.770312797850147 y[1] (closed_form) = 1.959549909572057 y[1] (numeric) = 1.959549909573196 absolute error = 1.138422689450636e-12 relative error = 5.809613135596294e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.780460472553934 y[1] (closed_form) = 1.976565626889299 y[1] (numeric) = 1.976565626890441 absolute error = 1.142641536944211e-12 relative error = 5.78094408503142e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.789973917588735 y[1] (closed_form) = 1.992528244179901 y[1] (numeric) = 1.992528244181047 absolute error = 1.146416295227937e-12 relative error = 5.753576134122941e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.800121592292523 y[1] (closed_form) = 2.009566021262036 y[1] (numeric) = 2.009566021263186 absolute error = 1.150635142721512e-12 relative error = 5.725789202978747e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1025 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.810269266996311 y[1] (closed_form) = 2.026615045975208 y[1] (numeric) = 2.026615045976363 absolute error = 1.155076034820013e-12 relative error = 5.699533501016667e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.820416941700099 y[1] (closed_form) = 2.043675224313332 y[1] (numeric) = 2.043675224314492 absolute error = 1.159516926918513e-12 relative error = 5.673684904156467e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.830564616403887 y[1] (closed_form) = 2.060746462262392 y[1] (numeric) = 2.060746462263555 absolute error = 1.163069640597314e-12 relative error = 5.643923994999546e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.840078061438688 y[1] (closed_form) = 2.076760708601659 y[1] (numeric) = 2.076760708602825 absolute error = 1.166622354276114e-12 relative error = 5.617509756632645e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.850225736142476 y[1] (closed_form) = 2.0938531069853 y[1] (numeric) = 2.093853106986471 absolute error = 1.170619157164765e-12 relative error = 5.590741553261135e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.860373410846264 y[1] (closed_form) = 2.110956288776107 y[1] (numeric) = 2.110956288777281 absolute error = 1.174171870843566e-12 relative error = 5.562274676584272e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.870521085550052 y[1] (closed_form) = 2.128070159937288 y[1] (numeric) = 2.128070159938466 absolute error = 1.178612762942066e-12 relative error = 5.538411209980027e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03213 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.880034530584853 y[1] (closed_form) = 2.144124038642041 y[1] (numeric) = 2.144124038643223 absolute error = 1.182609565830717e-12 relative error = 5.515583727981104e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.890182205288641 y[1] (closed_form) = 2.161258352844739 y[1] (numeric) = 2.161258352845926 absolute error = 1.187494547139067e-12 relative error = 5.494459029278186e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.900329879992428 y[1] (closed_form) = 2.178403080166999 y[1] (numeric) = 2.17840308016819 absolute error = 1.191047260817868e-12 relative error = 5.467524682009542e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.910477554696216 y[1] (closed_form) = 2.195558126562774 y[1] (numeric) = 2.19555812656397 absolute error = 1.196376331336069e-12 relative error = 5.449076099884631e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.919990999731017 y[1] (closed_form) = 2.211650270739963 y[1] (numeric) = 2.211650270741164 absolute error = 1.200373134224719e-12 relative error = 5.427499772932473e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.930138674434805 y[1] (closed_form) = 2.228825042713559 y[1] (numeric) = 2.228825042714763 absolute error = 1.20481402632322e-12 relative error = 5.405601620737258e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.940286349138593 y[1] (closed_form) = 2.246009857502504 y[1] (numeric) = 2.246009857503714 absolute error = 1.209254918421721e-12 relative error = 5.384014297098302e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03763 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.950434023842381 y[1] (closed_form) = 2.263204621065008 y[1] (numeric) = 2.263204621066223 absolute error = 1.214583988939921e-12 relative error = 5.366655660009955e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.959947468877182 y[1] (closed_form) = 2.279333663785217 y[1] (numeric) = 2.279333663786435 absolute error = 1.218580791828572e-12 relative error = 5.346215041657892e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.97009514358097 y[1] (closed_form) = 2.296547435494301 y[1] (numeric) = 2.296547435495524 absolute error = 1.223021683927072e-12 relative error = 5.325479739824461e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.980242818284758 y[1] (closed_form) = 2.313770879751124 y[1] (numeric) = 2.313770879752351 absolute error = 1.227018486815723e-12 relative error = 5.303111459971804e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07756 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.990390492988546 y[1] (closed_form) = 2.331003902531661 y[1] (numeric) = 2.331003902532892 absolute error = 1.231459378914224e-12 relative error = 5.282957173845818e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0006342296689869027 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + sin ( 0.3 * x + 0.1 ) ; Iterations = 13081 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %