##############ECHO OF PROBLEM################# ##############temp/div_sin_cpostode.ode################# diff ( y , x , 1 ) = sin ( x ) / 2.0 ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(-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(neg(cos(c(x)))/c(2.0)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -5 y[1] (closed_form) = -0.1418310927316131 y[1] (numeric) = -0.1418310927316131 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.272 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.989999999999997 y[1] (closed_form) = -0.137029459772712 y[1] (numeric) = -0.1370294597727136 absolute error = 1.609823385706477e-15 relative error = 1.174800943079436e-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 = 0.2636 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.979999999999993 y[1] (closed_form) = -0.1322141239820245 y[1] (numeric) = -0.1322141239820277 absolute error = 3.219646771412954e-15 relative error = 2.43517611768217e-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 = 0.255 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.96999999999999 y[1] (closed_form) = -0.1273855668891168 y[1] (numeric) = -0.1273855668891216 absolute error = 4.801714581503802e-15 relative error = 3.769433773987498e-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 = 0.2464 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.959999999999987 y[1] (closed_form) = -0.1225442713456744 y[1] (numeric) = -0.1225442713456808 absolute error = 6.425415755018093e-15 relative error = 5.243342413692436e-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 = 0.2376 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.949999999999983 y[1] (closed_form) = -0.1176907214772174 y[1] (numeric) = -0.1176907214772254 absolute error = 8.049116928532385e-15 relative error = 6.839211135340466e-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 = 0.2288 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.93999999999998 y[1] (closed_form) = -0.1128254026346879 y[1] (numeric) = -0.1128254026346976 absolute error = 9.658940314238862e-15 relative error = 8.560962415098215e-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 = 0.2198 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.929999999999977 y[1] (closed_form) = -0.1079488013459158 y[1] (numeric) = -0.1079488013459271 absolute error = 1.126876369994534e-14 relative error = 1.043898918695283e-11 % Desired digits = 8 Estimated correct digits = 13 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 = 0.2108 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.919999999999973 y[1] (closed_form) = -0.1030614052669661 y[1] (numeric) = -0.1030614052669791 absolute error = 1.292022044907526e-14 relative error = 1.253642953500123e-11 % Desired digits = 8 Estimated correct digits = 13 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 = 0.2017 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) = -0.09816370313337398 y[1] (numeric) = -0.09816370313338856 absolute error = 1.457167719820518e-14 relative error = 1.484426191461705e-11 % Desired digits = 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 = 0.1925 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) = -0.0932561847112713 y[1] (numeric) = -0.09325618471128749 absolute error = 1.619537837171947e-14 relative error = 1.73665461672721e-11 % Desired digits = 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 = 0.1832 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.889999999999963 y[1] (closed_form) = -0.08833934074841071 y[1] (numeric) = -0.08833934074842854 absolute error = 1.783295733304158e-14 relative error = 2.018688070565254e-11 % Desired digits = 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 = 0.1739 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.87999999999996 y[1] (closed_form) = -0.08341366292509114 y[1] (numeric) = -0.08341366292511061 absolute error = 1.947053629436368e-14 relative error = 2.334214277563739e-11 % Desired digits = 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 = 0.1645 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.869999999999957 y[1] (closed_form) = -0.07847964380499022 y[1] (numeric) = -0.07847964380501134 absolute error = 2.11219930434936e-14 relative error = 2.691397669436229e-11 % Desired digits = 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 = 0.155 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.859999999999953 y[1] (closed_form) = -0.07353777678590828 y[1] (numeric) = -0.07353777678593103 absolute error = 2.274569421700789e-14 relative error = 3.093062533455125e-11 % Desired digits = 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 = 0.1455 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.84999999999995 y[1] (closed_form) = -0.06858855605042902 y[1] (numeric) = -0.06858855605045341 absolute error = 2.439715096613781e-14 relative error = 3.557029389596723e-11 % Desired digits = 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 = 0.1359 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.839999999999947 y[1] (closed_form) = -0.06363247651650164 y[1] (numeric) = -0.0636324765165277 absolute error = 2.606248550307555e-14 relative error = 4.095783620226825e-11 % Desired digits = 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 = 0.1262 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.829999999999943 y[1] (closed_form) = -0.0586700337879495 y[1] (numeric) = -0.05867003378797721 absolute error = 2.771394225220547e-14 relative error = 4.72369631699407e-11 % Desired digits = 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 = 0.1165 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.81999999999994 y[1] (closed_form) = -0.0537017241049101 y[1] (numeric) = -0.05370172410493947 absolute error = 2.936539900133539e-14 relative error = 5.468241381592892e-11 % Desired digits = 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 = 0.1068 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.809999999999937 y[1] (closed_form) = -0.04872804429421149 y[1] (numeric) = -0.0487280442942425 absolute error = 3.101685575046531e-14 relative error = 6.365298710367055e-11 % Desired digits = 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 = 0.09699 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.799999999999933 y[1] (closed_form) = -0.04374949171969002 y[1] (numeric) = -0.04374949171972269 absolute error = 3.267525139349914e-14 relative error = 7.468715660253768e-11 % Desired digits = 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 = 0.08716 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.78999999999993 y[1] (closed_form) = -0.03876656423245436 y[1] (numeric) = -0.03876656423248871 absolute error = 3.434752482434078e-14 relative error = 8.860090003948795e-11 % Desired digits = 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 = 0.0773 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.779999999999927 y[1] (closed_form) = -0.03377976012110083 y[1] (numeric) = -0.03377976012113684 absolute error = 3.601285936127852e-14 relative error = 1.066107610953186e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06741 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.769999999999923 y[1] (closed_form) = -0.02878957806188488 y[1] (numeric) = -0.02878957806192256 absolute error = 3.76816633451682e-14 relative error = 1.308864730985958e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05748 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.75999999999992 y[1] (closed_form) = -0.02379651706885398 y[1] (numeric) = -0.02379651706889333 absolute error = 3.934699788210594e-14 relative error = 1.65347717770031e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04754 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.749999999999917 y[1] (closed_form) = -0.01880107644394656 y[1] (numeric) = -0.01880107644398758 absolute error = 4.101927131294758e-14 relative error = 2.18175121170547e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03758 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.739999999999913 y[1] (closed_form) = -0.01380375572706226 y[1] (numeric) = -0.01380375572710494 absolute error = 4.268807529683727e-14 relative error = 3.09249715373819e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0276 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.72999999999991 y[1] (closed_form) = -0.008805054646108335 y[1] (numeric) = -0.00880505464615269 absolute error = 4.435514455725098e-14 relative error = 5.037463859109052e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01761 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] = -4.719395531910257 y[1] (closed_form) = -0.003503247099189137 y[1] (numeric) = -0.003503247099234854 absolute error = 4.571733616676177e-14 relative error = 1.304998901657366e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0007784707755965339 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 = 0.007006 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] = -4.710014322021702 y[1] (closed_form) = 0.001187328065602291 y[1] (numeric) = 0.001187328065551808 absolute error = 5.048305523613905e-14 relative error = 4.251820259174175e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.699922000835111 y[1] (closed_form) = 0.006233328302084383 y[1] (numeric) = 0.006233328302024315 absolute error = 6.00682698026489e-14 relative error = 9.636628602180712e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.689829679648521 y[1] (closed_form) = 0.01127869364863197 y[1] (numeric) = 0.01127869364856231 absolute error = 6.965435173089674e-14 relative error = 6.175746402983945e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.679935247112648 y[1] (closed_form) = 0.01622401830886463 y[1] (numeric) = 0.01622401830878558 absolute error = 7.90513488002631e-14 relative error = 4.872488880086525e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.669842925926058 y[1] (closed_form) = 0.02126660985574241 y[1] (numeric) = 0.02126660985565377 absolute error = 8.863743072851094e-14 relative error = 4.167915400233718e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.659948493390185 y[1] (closed_form) = 0.02620822751753343 y[1] (numeric) = 0.02620822751743539 absolute error = 9.803269307440132e-14 relative error = 3.740531213292353e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.649856172203594 y[1] (closed_form) = 0.03124603096611625 y[1] (numeric) = 0.03124603096600866 absolute error = 1.075944888739855e-13 relative error = 3.443460994795238e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.639961739667721 y[1] (closed_form) = 0.03618196766556838 y[1] (numeric) = 0.03618196766545146 absolute error = 1.169203622808368e-13 relative error = 3.231453948594979e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.629869418481131 y[1] (closed_form) = 0.04121297062987062 y[1] (numeric) = 0.04121297062974413 absolute error = 1.26482158080421e-13 relative error = 3.068989110645384e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.619974985945258 y[1] (closed_form) = 0.04614125467238692 y[1] (numeric) = 0.04614125467225109 absolute error = 1.358357870628879e-13 relative error = 2.9439118642818e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.609882664758667 y[1] (closed_form) = 0.05116344748292417 y[1] (numeric) = 0.05116344748277878 absolute error = 1.453975828624721e-13 relative error = 2.841825365872747e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.599988232222795 y[1] (closed_form) = 0.05608211023081532 y[1] (numeric) = 0.05608211023066057 absolute error = 1.547442729510351e-13 relative error = 2.759244834300263e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.589895911036204 y[1] (closed_form) = 0.06109348673738099 y[1] (numeric) = 0.06109348673721671 absolute error = 1.642783131750036e-13 relative error = 2.688966073931534e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.580001478500331 y[1] (closed_form) = 0.06600056339625136 y[1] (numeric) = 0.06600056339607778 absolute error = 1.735833699001432e-13 relative error = 2.630028608361883e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.569909157313741 y[1] (closed_form) = 0.07099912176928752 y[1] (numeric) = 0.07099912176910443 absolute error = 1.830896545484961e-13 relative error = 2.578759426679222e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.560014724777868 y[1] (closed_form) = 0.0758926521728862 y[1] (numeric) = 0.07589265217269382 absolute error = 1.92373894591924e-13 relative error = 2.534815810016618e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.549922403591277 y[1] (closed_form) = 0.08087639570312836 y[1] (numeric) = 0.08087639570292653 absolute error = 2.018385458768535e-13 relative error = 2.495642197233156e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.539830082404687 y[1] (closed_form) = 0.08585190164229835 y[1] (numeric) = 0.08585190164208709 absolute error = 2.112615637983595e-13 relative error = 2.460767435048557e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.529935649868814 y[1] (closed_form) = 0.09072136299242806 y[1] (numeric) = 0.09072136299220758 absolute error = 2.204764149027483e-13 relative error = 2.430259066115993e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.519843328682223 y[1] (closed_form) = 0.09567906054732314 y[1] (numeric) = 0.09567906054709324 absolute error = 2.298994328242543e-13 relative error = 2.402818668046446e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.509948896146351 y[1] (closed_form) = 0.1005300909958273 y[1] (numeric) = 0.1005300909955882 absolute error = 2.391004061408353e-13 relative error = 2.378396396266663e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.49985657495976 y[1] (closed_form) = 0.1054679997793239 y[1] (numeric) = 0.1054679997790754 absolute error = 2.484817906989178e-13 relative error = 2.355992255649382e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.489962142423887 y[1] (closed_form) = 0.1102986615480041 y[1] (numeric) = 0.1102986615477465 absolute error = 2.575994972886519e-13 relative error = 2.33547255853635e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.479869821237297 y[1] (closed_form) = 0.1152148090777425 y[1] (numeric) = 0.1152148090774756 absolute error = 2.669670040589267e-13 relative error = 2.317124041569931e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.469975388701424 y[1] (closed_form) = 0.1200231725248126 y[1] (numeric) = 0.1200231725245365 absolute error = 2.760847106486608e-13 relative error = 2.300261731471774e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.459883067514833 y[1] (closed_form) = 0.1249155950111188 y[1] (numeric) = 0.1249155950108335 absolute error = 2.853273173286652e-13 relative error = 2.284160895229039e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.44998863497896 y[1] (closed_form) = 0.1296997394020139 y[1] (numeric) = 0.1296997394017195 absolute error = 2.943478794037446e-13 relative error = 2.269456212948831e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.43989631379237 y[1] (closed_form) = 0.1345664825323492 y[1] (numeric) = 0.1345664825320456 absolute error = 3.035627305081334e-13 relative error = 2.255856917677538e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.430001881256497 y[1] (closed_form) = 0.1393244968069766 y[1] (numeric) = 0.1393244968066639 absolute error = 3.126665593100597e-13 relative error = 2.244160693027554e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.419909560069907 y[1] (closed_form) = 0.1441636165266013 y[1] (numeric) = 0.1441636165262795 absolute error = 3.21770388111986e-13 relative error = 2.231980550048232e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.410015127534034 y[1] (closed_form) = 0.1488936000627269 y[1] (numeric) = 0.1488936000623962 absolute error = 3.307076834602185e-13 relative error = 2.221100727774033e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.399922806347443 y[1] (closed_form) = 0.1537031633512671 y[1] (numeric) = 0.1537031633509272 absolute error = 3.398947789889917e-13 relative error = 2.211371396515827e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.389830485160853 y[1] (closed_form) = 0.1584970713451421 y[1] (numeric) = 0.158497071344793 absolute error = 3.490541189421492e-13 relative error = 2.202274881042133e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.37993605262498 y[1] (closed_form) = 0.1631813123673377 y[1] (numeric) = 0.1631813123669798 absolute error = 3.579081475635348e-13 relative error = 2.19331578090172e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.369843731438389 y[1] (closed_form) = 0.1679427773281073 y[1] (numeric) = 0.1679427773277403 absolute error = 3.670397319410768e-13 relative error = 2.185504716430863e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.359949298902516 y[1] (closed_form) = 0.1725942774615907 y[1] (numeric) = 0.1725942774612148 absolute error = 3.75921516138078e-13 relative error = 2.178064775187786e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.349856977715926 y[1] (closed_form) = 0.1773213973886199 y[1] (numeric) = 0.177321397388235 absolute error = 3.848865670619261e-13 relative error = 2.170559068054284e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.339962545180053 y[1] (closed_form) = 0.1819382985589789 y[1] (numeric) = 0.1819382985585853 absolute error = 3.935463066540024e-13 relative error = 2.163075667800788e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.329870223993463 y[1] (closed_form) = 0.1866291851709977 y[1] (numeric) = 0.1866291851705953 absolute error = 4.023725796997724e-13 relative error = 2.156000302584514e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.31997579145759 y[1] (closed_form) = 0.1912096431246192 y[1] (numeric) = 0.1912096431242081 absolute error = 4.111155860186955e-13 relative error = 2.15007768070962e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.309883470270999 y[1] (closed_form) = 0.19586242261401 y[1] (numeric) = 0.1958624226135901 absolute error = 4.198863479132342e-13 relative error = 2.143782060434903e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.299989037735126 y[1] (closed_form) = 0.2004046076547799 y[1] (numeric) = 0.2004046076543514 absolute error = 4.285460875053104e-13 relative error = 2.138404363653807e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.289896716548536 y[1] (closed_form) = 0.205017421436083 y[1] (numeric) = 0.2050174214356455 absolute error = 4.374278717023117e-13 relative error = 2.133613176081653e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.280002284012663 y[1] (closed_form) = 0.2095195191562711 y[1] (numeric) = 0.209519519155825 absolute error = 4.460321001431566e-13 relative error = 2.128833160458342e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.269909962826072 y[1] (closed_form) = 0.2140905246086095 y[1] (numeric) = 0.2140905246081548 absolute error = 4.546640841596172e-13 relative error = 2.123700173049757e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.260015530290199 y[1] (closed_form) = 0.2185507366136475 y[1] (numeric) = 0.2185507366131844 absolute error = 4.631295347223841e-13 relative error = 2.119093908802976e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.249923209103609 y[1] (closed_form) = 0.2230781078167752 y[1] (numeric) = 0.2230781078163034 absolute error = 4.717615187388446e-13 relative error = 2.114781783635735e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3993 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.239830887917019 y[1] (closed_form) = 0.2275827576039276 y[1] (numeric) = 0.2275827576034473 absolute error = 4.802824804528427e-13 relative error = 2.110364095722487e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.229936455381146 y[1] (closed_form) = 0.2319765809073164 y[1] (numeric) = 0.2319765809068279 absolute error = 4.885258864106845e-13 relative error = 2.105927609157536e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.219844134194555 y[1] (closed_form) = 0.2364348816092081 y[1] (numeric) = 0.236434881608711 absolute error = 4.971023592759138e-13 relative error = 2.102491628530306e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.209949701658682 y[1] (closed_form) = 0.240782389322632 y[1] (numeric) = 0.2407823893221267 absolute error = 5.0531800965814e-13 relative error = 2.098650200621808e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.199857380472092 y[1] (closed_form) = 0.2451925600397213 y[1] (numeric) = 0.2451925600392077 absolute error = 5.136724379184443e-13 relative error = 2.094975629909933e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.189962947936219 y[1] (closed_form) = 0.2494920155206766 y[1] (numeric) = 0.2494920155201548 absolute error = 5.217770659982079e-13 relative error = 2.091357773150723e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.179870626749628 y[1] (closed_form) = 0.2538522945792826 y[1] (numeric) = 0.2538522945787527 absolute error = 5.299094496535872e-13 relative error = 2.087471576854654e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.169976194213755 y[1] (closed_form) = 0.2581019803800672 y[1] (numeric) = 0.258101980379529 absolute error = 5.381251000358134e-13 relative error = 2.084932084765096e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.159883873027165 y[1] (closed_form) = 0.2624106260360824 y[1] (numeric) = 0.2624106260355363 absolute error = 5.460631946618832e-13 relative error = 2.080949247027815e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.149989440491292 y[1] (closed_form) = 0.2666088445898428 y[1] (numeric) = 0.2666088445892887 absolute error = 5.540568004391844e-13 relative error = 2.078163615657831e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.139897119304702 y[1] (closed_form) = 0.2708641357244853 y[1] (numeric) = 0.2708641357239233 absolute error = 5.619948950652542e-13 relative error = 2.074822100615411e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.130002686768829 y[1] (closed_form) = 0.2750092100233214 y[1] (numeric) = 0.2750092100227516 absolute error = 5.698219673888616e-13 relative error = 2.072010487723445e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.119910365582238 y[1] (closed_form) = 0.2792094468306476 y[1] (numeric) = 0.2792094468300699 absolute error = 5.777045508637002e-13 relative error = 2.069072366359088e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.110015933046365 y[1] (closed_form) = 0.2832997210955055 y[1] (numeric) = 0.2832997210949201 absolute error = 5.853650897336138e-13 relative error = 2.066239555302197e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.099923611859775 y[1] (closed_form) = 0.2874432257614099 y[1] (numeric) = 0.2874432257608166 absolute error = 5.933031843596837e-13 relative error = 2.064070853602758e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.089831290673184 y[1] (closed_form) = 0.2915574531613121 y[1] (numeric) = 0.291557453160711 absolute error = 6.01130256683291e-13 relative error = 2.061790052579103e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.079936858137311 y[1] (closed_form) = 0.2955621834759235 y[1] (numeric) = 0.2955621834753147 absolute error = 6.088463067044358e-13 relative error = 2.059960105667688e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.069844536950721 y[1] (closed_form) = 0.2996171966333627 y[1] (numeric) = 0.2996171966327462 absolute error = 6.164513344231182e-13 relative error = 2.057463127450128e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.059950104414848 y[1] (closed_form) = 0.3035630767994816 y[1] (numeric) = 0.3035630767988576 absolute error = 6.240008509905692e-13 relative error = 2.055588767809046e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.049857783228258 y[1] (closed_form) = 0.3075572559109595 y[1] (numeric) = 0.307557255910328 absolute error = 6.315503675580203e-13 relative error = 2.053439986929977e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.039963350692385 y[1] (closed_form) = 0.3114427097190279 y[1] (numeric) = 0.3114427097183891 absolute error = 6.388223283693151e-13 relative error = 2.051171237707368e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.029871029505794 y[1] (closed_form) = 0.3153744592816333 y[1] (numeric) = 0.315374459280987 absolute error = 6.463163337855349e-13 relative error = 2.049361686604959e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.019976596969921 y[1] (closed_form) = 0.3191979346598264 y[1] (numeric) = 0.3191979346591728 absolute error = 6.535327834455984e-13 relative error = 2.047421717004771e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.009884275783331 y[1] (closed_form) = 0.3230656841085702 y[1] (numeric) = 0.3230656841079092 absolute error = 6.609712777105869e-13 relative error = 2.04593465113571e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.999989843247458 y[1] (closed_form) = 0.3268256537427824 y[1] (numeric) = 0.3268256537421147 absolute error = 6.676881270095691e-13 relative error = 2.042948952639598e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.989897522060891 y[1] (closed_form) = 0.330627858077962 y[1] (numeric) = 0.3306278580772958 absolute error = 6.661893259263252e-13 relative error = 2.014921942146926e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.98000308952504 y[1] (closed_form) = 0.3343228200218956 y[1] (numeric) = 0.3343228200212308 absolute error = 6.648015471455437e-13 relative error = 1.988501853095174e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.969910768338472 y[1] (closed_form) = 0.3380579604262819 y[1] (numeric) = 0.3380579604256184 absolute error = 6.635247906672248e-13 relative error = 1.962754522421356e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.960016335802621 y[1] (closed_form) = 0.3416864387014343 y[1] (numeric) = 0.341686438700772 absolute error = 6.622480341889059e-13 relative error = 1.938174768380487e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.949924014616053 y[1] (closed_form) = 0.3453530231469479 y[1] (numeric) = 0.3453530231462868 absolute error = 6.611378111642807e-13 relative error = 1.914382579135455e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4995 Order of pole (three term test) = 32.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.939831693429486 y[1] (closed_form) = 0.3489844319771849 y[1] (numeric) = 0.3489844319765248 absolute error = 6.600275881396556e-13 relative error = 1.891280892962026e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.929937260893635 y[1] (closed_form) = 0.3525101321758973 y[1] (numeric) = 0.3525101321752385 absolute error = 6.588063428125679e-13 relative error = 1.868900444778799e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.919844939707067 y[1] (closed_form) = 0.3560707914235688 y[1] (numeric) = 0.3560707914229111 absolute error = 6.576961197879427e-13 relative error = 1.847093711782642e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.909950507171216 y[1] (closed_form) = 0.3595264285556392 y[1] (numeric) = 0.3595264285549826 absolute error = 6.565858967633176e-13 relative error = 1.826252104472777e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.899858185984649 y[1] (closed_form) = 0.3630149158903898 y[1] (numeric) = 0.3630149158897343 absolute error = 6.555311848899237e-13 relative error = 1.805796831466444e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.889963753448798 y[1] (closed_form) = 0.3663991095772848 y[1] (numeric) = 0.3663991095766305 absolute error = 6.542544284116047e-13 relative error = 1.785633237936684e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.87987143226223 y[1] (closed_form) = 0.3698140314983367 y[1] (numeric) = 0.3698140314976837 absolute error = 6.529776719332858e-13 relative error = 1.765691986557905e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.869976999726379 y[1] (closed_form) = 0.373125429900109 y[1] (numeric) = 0.373125429899457 absolute error = 6.520339823623544e-13 relative error = 1.747492746706954e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.859884678539812 y[1] (closed_form) = 0.376465422292906 y[1] (numeric) = 0.3764654222922551 absolute error = 6.509237593377293e-13 relative error = 1.729039961686795e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.849990246003961 y[1] (closed_form) = 0.3797027026481965 y[1] (numeric) = 0.3797027026475466 absolute error = 6.498690474643354e-13 relative error = 1.71152073169849e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4941 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.839897924817393 y[1] (closed_form) = 0.382966431329309 y[1] (numeric) = 0.38296643132866 absolute error = 6.48925357893404e-13 relative error = 1.694470597960581e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.830003492281542 y[1] (closed_form) = 0.3861283004837329 y[1] (numeric) = 0.3861283004830852 absolute error = 6.477041125663163e-13 relative error = 1.677432376116661e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.819911171094974 y[1] (closed_form) = 0.3893144617338065 y[1] (numeric) = 0.3893144617331598 absolute error = 6.467604229953849e-13 relative error = 1.661280241466105e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.810016738559124 y[1] (closed_form) = 0.3923996566565135 y[1] (numeric) = 0.3923996566558676 absolute error = 6.458722445756848e-13 relative error = 1.645955172537391e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.799924417372556 y[1] (closed_form) = 0.3955069777410493 y[1] (numeric) = 0.3955069777404045 absolute error = 6.448175327022909e-13 relative error = 1.630356906432313e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.789832096185988 y[1] (closed_form) = 0.3985740148252845 y[1] (numeric) = 0.3985740148246409 absolute error = 6.435962873752032e-13 relative error = 1.61474723247406e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.779937663650137 y[1] (closed_form) = 0.4015415057070065 y[1] (numeric) = 0.4015415057063638 absolute error = 6.427636201067344e-13 relative error = 1.600740174978924e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.76984534246357 y[1] (closed_form) = 0.4045278467431546 y[1] (numeric) = 0.404527846742513 absolute error = 6.415423747796467e-13 relative error = 1.585904110050003e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.759950909927719 y[1] (closed_form) = 0.4074156350970807 y[1] (numeric) = 0.4074156350964402 absolute error = 6.404876629062528e-13 relative error = 1.572074333263216e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.749858588741151 y[1] (closed_form) = 0.4103200871702311 y[1] (numeric) = 0.4103200871695917 absolute error = 6.394329510328589e-13 relative error = 1.55837593875236e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.7399641562053 y[1] (closed_form) = 0.4131270194490123 y[1] (numeric) = 0.4131270194483738 absolute error = 6.385447726131588e-13 relative error = 1.545637885086253e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.729871835018733 y[1] (closed_form) = 0.4159484223553764 y[1] (numeric) = 0.415948422354739 absolute error = 6.373790384373024e-13 relative error = 1.532351138220548e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.719977402482882 y[1] (closed_form) = 0.4186733773101911 y[1] (numeric) = 0.4186733773095545 absolute error = 6.365463711688335e-13 relative error = 1.520388937214946e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.709885081296314 y[1] (closed_form) = 0.4214106040205532 y[1] (numeric) = 0.4214106040199178 absolute error = 6.354916592954396e-13 relative error = 1.508010603512115e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.699990648760463 y[1] (closed_form) = 0.4240524931489978 y[1] (numeric) = 0.4240524931483633 absolute error = 6.34492458573277e-13 relative error = 1.49625923399615e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.689898327573895 y[1] (closed_form) = 0.4267044502589156 y[1] (numeric) = 0.426704450258282 absolute error = 6.336042801535768e-13 relative error = 1.484878537753986e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.680003895038045 y[1] (closed_form) = 0.4292622182398145 y[1] (numeric) = 0.4292622182391821 absolute error = 6.323830348264892e-13 relative error = 1.473185870910255e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.669911573851477 y[1] (closed_form) = 0.4318278464063863 y[1] (numeric) = 0.4318278464057552 absolute error = 6.311617894994015e-13 relative error = 1.461605115908679e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.660017141315626 y[1] (closed_form) = 0.4343004715213474 y[1] (numeric) = 0.434300471520717 absolute error = 6.303291222309326e-13 relative error = 1.451366423856046e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.649924820129058 y[1] (closed_form) = 0.4367787458863748 y[1] (numeric) = 0.4367787458857454 absolute error = 6.294409438112325e-13 relative error = 1.441097923695622e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.639832498942491 y[1] (closed_form) = 0.4392125325530282 y[1] (numeric) = 0.4392125325523997 absolute error = 6.285527653915324e-13 relative error = 1.431090232644134e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.62993806640664 y[1] (closed_form) = 0.4415551710272964 y[1] (numeric) = 0.4415551710266686 absolute error = 6.277200981230635e-13 relative error = 1.421611928273078e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.619845745220072 y[1] (closed_form) = 0.4439001274298968 y[1] (numeric) = 0.4439001274292697 absolute error = 6.271094754595197e-13 relative error = 1.412726504699092e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.609951312684221 y[1] (closed_form) = 0.4461552138525668 y[1] (numeric) = 0.4461552138519407 absolute error = 6.261657858885883e-13 relative error = 1.403470734952582e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.599858991497654 y[1] (closed_form) = 0.4484104032818024 y[1] (numeric) = 0.4484104032811771 absolute error = 6.253331186201194e-13 relative error = 1.394555331552222e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.589964558961803 y[1] (closed_form) = 0.4505770368427576 y[1] (numeric) = 0.450577036842133 absolute error = 6.246114736541131e-13 relative error = 1.386247905643026e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.579872237775235 y[1] (closed_form) = 0.4527415584473647 y[1] (numeric) = 0.452741558446741 absolute error = 6.237788063856442e-13 relative error = 1.377781197124549e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.569977805239384 y[1] (closed_form) = 0.4548188736696052 y[1] (numeric) = 0.4548188736689822 absolute error = 6.230571614196379e-13 relative error = 1.369901728995192e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.559885484052816 y[1] (closed_form) = 0.45689186281622 y[1] (numeric) = 0.4568918628155976 absolute error = 6.223910276048628e-13 relative error = 1.362228304458145e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.549991051516966 y[1] (closed_form) = 0.4588790299015841 y[1] (numeric) = 0.4588790299009623 absolute error = 6.217804049413189e-13 relative error = 1.354998516874202e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3645 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.539898730330398 y[1] (closed_form) = 0.460859658520126 y[1] (numeric) = 0.4608596585195047 absolute error = 6.213363157314689e-13 relative error = 1.348211552572538e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.530004297794547 y[1] (closed_form) = 0.4627558836807586 y[1] (numeric) = 0.4627558836801378 absolute error = 6.208367153703875e-13 relative error = 1.34160739444792e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.519911976607979 y[1] (closed_form) = 0.4646433605952092 y[1] (numeric) = 0.4646433605945889 absolute error = 6.20281603858075e-13 relative error = 1.334962804727249e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.510017544072129 y[1] (closed_form) = 0.466447886370646 y[1] (numeric) = 0.4664478863700263 absolute error = 6.196709811945311e-13 relative error = 1.32848920383387e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.499925222885561 y[1] (closed_form) = 0.4682414576150893 y[1] (numeric) = 0.4682414576144702 absolute error = 6.191158696822185e-13 relative error = 1.322214980355612e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.489832901698993 y[1] (closed_form) = 0.4699873365555257 y[1] (numeric) = 0.4699873365549073 absolute error = 6.183942247162122e-13 relative error = 1.315767844402661e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.479938469163142 y[1] (closed_form) = 0.47165251229463 y[1] (numeric) = 0.4716525122940122 absolute error = 6.177836020526684e-13 relative error = 1.309827862565807e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.469846147976575 y[1] (closed_form) = 0.4733034216805787 y[1] (numeric) = 0.4733034216799613 absolute error = 6.173950239940496e-13 relative error = 1.30443811667754e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.459951715440724 y[1] (closed_form) = 0.4748751620640717 y[1] (numeric) = 0.474875162063455 absolute error = 6.166733790280432e-13 relative error = 1.298601039371353e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.449859394254156 y[1] (closed_form) = 0.4764304424281783 y[1] (numeric) = 0.4764304424275623 absolute error = 6.160072452132681e-13 relative error = 1.292963652938972e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.439964961718305 y[1] (closed_form) = 0.47790811961332 y[1] (numeric) = 0.4779081196127045 absolute error = 6.15563156003418e-13 relative error = 1.288036613609905e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.429872640531737 y[1] (closed_form) = 0.479367149687915 y[1] (numeric) = 0.4793671496872998 absolute error = 6.151745779447992e-13 relative error = 1.283305663196361e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.419978207995887 y[1] (closed_form) = 0.4807501734061709 y[1] (numeric) = 0.4807501734055561 absolute error = 6.147859998861804e-13 relative error = 1.278805570740308e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.409885886809319 y[1] (closed_form) = 0.4821123703714391 y[1] (numeric) = 0.4821123703708247 absolute error = 6.143974218275616e-13 relative error = 1.274386345561315e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.399991454273468 y[1] (closed_form) = 0.4834001881642671 y[1] (numeric) = 0.483400188163653 absolute error = 6.140643549201741e-13 relative error = 1.270302267055604e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.3898991330869 y[1] (closed_form) = 0.4846650078810592 y[1] (numeric) = 0.4846650078804456 absolute error = 6.135647545590928e-13 relative error = 1.265956371064582e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.38000470055105 y[1] (closed_form) = 0.4858571053205932 y[1] (numeric) = 0.48585710531998 absolute error = 6.132316876517052e-13 relative error = 1.262164700147925e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.369912379364482 y[1] (closed_form) = 0.4870240425477862 y[1] (numeric) = 0.4870240425471736 absolute error = 6.125655538369301e-13 relative error = 1.257772718226382e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.360017946828631 y[1] (closed_form) = 0.4881199434423276 y[1] (numeric) = 0.4881199434417154 absolute error = 6.121769757783113e-13 relative error = 1.254152763071115e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.349925625642063 y[1] (closed_form) = 0.4891885320386465 y[1] (numeric) = 0.4891885320380347 absolute error = 6.118439088709238e-13 relative error = 1.250732322610104e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.339833304455496 y[1] (closed_form) = 0.4902072947859141 y[1] (numeric) = 0.4902072947853026 absolute error = 6.11455330812305e-13 relative error = 1.247340334009805e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.329938871919645 y[1] (closed_form) = 0.4911576117331044 y[1] (numeric) = 0.4911576117324931 absolute error = 6.113443085098424e-13 relative error = 1.244700873824689e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.319846550733077 y[1] (closed_form) = 0.4920773984354693 y[1] (numeric) = 0.4920773984348582 absolute error = 6.110667527536862e-13 relative error = 1.241810241024149e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.309952118197226 y[1] (closed_form) = 0.4929304950684402 y[1] (numeric) = 0.4929304950678293 absolute error = 6.108447081487611e-13 relative error = 1.239210627583407e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.299859797010658 y[1] (closed_form) = 0.4937509383106412 y[1] (numeric) = 0.4937509383100306 absolute error = 6.105671523926048e-13 relative error = 1.236589351063611e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.289965364474808 y[1] (closed_form) = 0.4945064738539483 y[1] (numeric) = 0.4945064738533382 absolute error = 6.100675520315235e-13 relative error = 1.233689717501466e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.27987304328824 y[1] (closed_form) = 0.4952272459041675 y[1] (numeric) = 0.4952272459035578 absolute error = 6.096789739729047e-13 relative error = 1.231109513895536e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.269978610752389 y[1] (closed_form) = 0.4958849185538293 y[1] (numeric) = 0.49588491855322 absolute error = 6.092903959142859e-13 relative error = 1.228693136486558e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.259886289565821 y[1] (closed_form) = 0.4965057314946068 y[1] (numeric) = 0.4965057314939978 absolute error = 6.089573290068984e-13 relative error = 1.226486000823765e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.249991857029971 y[1] (closed_form) = 0.4970652785386623 y[1] (numeric) = 0.4970652785380534 absolute error = 6.089573290068984e-13 relative error = 1.225105343904106e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.239899535843403 y[1] (closed_form) = 0.4975858843819067 y[1] (numeric) = 0.497585884381298 absolute error = 6.086797732507421e-13 relative error = 1.22326575643687e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.230005103307552 y[1] (closed_form) = 0.4980470823053575 y[1] (numeric) = 0.4980470823047489 absolute error = 6.085687509482796e-13 relative error = 1.221910081535545e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.219912782120984 y[1] (closed_form) = 0.4984672730914066 y[1] (numeric) = 0.4984672730907983 absolute error = 6.083467063433545e-13 relative error = 1.22043459858557e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.210018349585134 y[1] (closed_form) = 0.4988299376655016 y[1] (numeric) = 0.4988299376648934 absolute error = 6.081801728896608e-13 relative error = 1.219213457267446e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.199926028398566 y[1] (closed_form) = 0.4991495455461936 y[1] (numeric) = 0.4991495455455855 absolute error = 6.081246617384295e-13 relative error = 1.218321577500366e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.189833707211998 y[1] (closed_form) = 0.4994183130079437 y[1] (numeric) = 0.4994183130073356 absolute error = 6.080691505871982e-13 relative error = 1.217554772721212e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.179939274676147 y[1] (closed_form) = 0.4996324292077415 y[1] (numeric) = 0.4996324292071335 absolute error = 6.080691505871982e-13 relative error = 1.217032992737087e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.169846953489579 y[1] (closed_form) = 0.4998004369108485 y[1] (numeric) = 0.4998004369102406 absolute error = 6.079026171335045e-13 relative error = 1.216290687720904e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.159952520953729 y[1] (closed_form) = 0.4999157311847788 y[1] (numeric) = 0.4999157311841709 absolute error = 6.078471059822732e-13 relative error = 1.215899136723907e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.149860199767161 y[1] (closed_form) = 0.4999829120173852 y[1] (numeric) = 0.4999829120167773 absolute error = 6.079026171335045e-13 relative error = 1.215846787004526e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.13996576723131 y[1] (closed_form) = 0.4999993383103401 y[1] (numeric) = 0.4999993383097321 absolute error = 6.079581282847357e-13 relative error = 1.215917865690029e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.129873446044742 y[1] (closed_form) = 0.4999656654365903 y[1] (numeric) = 0.4999656654359821 absolute error = 6.081801728896608e-13 relative error = 1.216443877918243e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.119979013508892 y[1] (closed_form) = 0.4998832171869716 y[1] (numeric) = 0.4998832171863632 absolute error = 6.083467063433545e-13 relative error = 1.216977656835025e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.109886692322324 y[1] (closed_form) = 0.4997487040577316 y[1] (numeric) = 0.4997487040571234 absolute error = 6.08235684040892e-13 relative error = 1.217083064152634e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.099992259786473 y[1] (closed_form) = 0.4995674142000721 y[1] (numeric) = 0.4995674141994639 absolute error = 6.081801728896608e-13 relative error = 1.217413617466431e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.089899938599905 y[1] (closed_form) = 0.4993321145475565 y[1] (numeric) = 0.4993321145469481 absolute error = 6.083467063433545e-13 relative error = 1.218320810177763e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.080005506064055 y[1] (closed_form) = 0.4990520554993635 y[1] (numeric) = 0.499052055498755 absolute error = 6.08457728645817e-13 relative error = 1.219226976306068e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.069913184877487 y[1] (closed_form) = 0.4987160633156719 y[1] (numeric) = 0.4987160633150634 absolute error = 6.08457728645817e-13 relative error = 1.22004838705322e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.060018752341636 y[1] (closed_form) = 0.4983373469485001 y[1] (numeric) = 0.4983373469478916 absolute error = 6.085132397970483e-13 relative error = 1.221086967539549e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.049926431155068 y[1] (closed_form) = 0.4979007964480711 y[1] (numeric) = 0.4979007964474624 absolute error = 6.086797732507421e-13 relative error = 1.222492065875265e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.0398341099685 y[1] (closed_form) = 0.4974135327188937 y[1] (numeric) = 0.4974135327182847 absolute error = 6.089573290068984e-13 relative error = 1.224247610792371e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.02993967743265 y[1] (closed_form) = 0.4968866396088328 y[1] (numeric) = 0.4968866396082236 absolute error = 6.091793736118234e-13 relative error = 1.225992661206169e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.019847356246082 y[1] (closed_form) = 0.496299095242097 y[1] (numeric) = 0.4962990952414875 absolute error = 6.095124405192109e-13 relative error = 1.22811515548278e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.009952923710231 y[1] (closed_form) = 0.4956739979100324 y[1] (numeric) = 0.4956739979094229 absolute error = 6.095124405192109e-13 relative error = 1.229663938574887e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.999860602523663 y[1] (closed_form) = 0.494986407604464 y[1] (numeric) = 0.4949864076038544 absolute error = 6.096234628216735e-13 relative error = 1.231596370033688e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.989966169987813 y[1] (closed_form) = 0.4942633557499171 y[1] (numeric) = 0.4942633557493072 absolute error = 6.09956529729061e-13 relative error = 1.234071922656717e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.979873848801245 y[1] (closed_form) = 0.493475994168295 y[1] (numeric) = 0.4934759941676847 absolute error = 6.102895966364486e-13 relative error = 1.236715876453182e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.969979416265394 y[1] (closed_form) = 0.4926552766194097 y[1] (numeric) = 0.4926552766187991 absolute error = 6.106226635438361e-13 relative error = 1.239452194106021e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.959887095078826 y[1] (closed_form) = 0.49176845827885 y[1] (numeric) = 0.491768458278239 absolute error = 6.110667527536862e-13 relative error = 1.242590374527823e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.949992662542976 y[1] (closed_form) = 0.490850402877018 y[1] (numeric) = 0.4908504028764067 absolute error = 6.112332862073799e-13 relative error = 1.245253711975711e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.939900341356408 y[1] (closed_form) = 0.489864482023338 y[1] (numeric) = 0.4898644820227265 absolute error = 6.115108419635362e-13 relative error = 1.248326556434036e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.930005908820557 y[1] (closed_form) = 0.4888494554922403 y[1] (numeric) = 0.4888494554916284 absolute error = 6.118439088709238e-13 relative error = 1.251599857577495e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.919913587633989 y[1] (closed_form) = 0.4877648259584527 y[1] (numeric) = 0.4877648259578405 absolute error = 6.121214646270801e-13 relative error = 1.254952042563274e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.910019155098138 y[1] (closed_form) = 0.4866532337575691 y[1] (numeric) = 0.4866532337569565 absolute error = 6.126210649881614e-13 relative error = 1.258845153987704e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.899926833911571 y[1] (closed_form) = 0.4854703288065622 y[1] (numeric) = 0.4854703288059491 absolute error = 6.130651541980114e-13 relative error = 1.26282723746499e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.889834512725003 y[1] (closed_form) = 0.4842379767206824 y[1] (numeric) = 0.4842379767200689 absolute error = 6.135092434078615e-13 relative error = 1.266958134020424e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.879940080189152 y[1] (closed_form) = 0.4829819071206763 y[1] (numeric) = 0.4829819071200623 absolute error = 6.139533326177116e-13 relative error = 1.271172529583621e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.869847759002584 y[1] (closed_form) = 0.481652005593179 y[1] (numeric) = 0.4816520055925646 absolute error = 6.143974218275616e-13 relative error = 1.275604408769979e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.859953326466734 y[1] (closed_form) = 0.4803005549183221 y[1] (numeric) = 0.4803005549177073 absolute error = 6.147859998861804e-13 relative error = 1.280002684966142e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.849861005280166 y[1] (closed_form) = 0.4788736351877171 y[1] (numeric) = 0.4788736351871019 absolute error = 6.152300890960305e-13 relative error = 1.284744124313426e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.839966572744315 y[1] (closed_form) = 0.4774273432844776 y[1] (numeric) = 0.4774273432838616 absolute error = 6.159517340620368e-13 relative error = 1.290147585231663e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.829874251557747 y[1] (closed_form) = 0.4759039753438775 y[1] (numeric) = 0.4759039753432608 absolute error = 6.166733790280432e-13 relative error = 1.295793712549783e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2919 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.819979819021897 y[1] (closed_form) = 0.4743634199437182 y[1] (numeric) = 0.4743634199431011 absolute error = 6.171174682378933e-13 relative error = 1.300938146350139e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.809887497835329 y[1] (closed_form) = 0.4727442123131508 y[1] (numeric) = 0.4727442123125332 absolute error = 6.176170685989746e-13 relative error = 1.306450830094687e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.799993065299478 y[1] (closed_form) = 0.4711100088017513 y[1] (numeric) = 0.4711100088011331 absolute error = 6.181721801112872e-13 relative error = 1.31216099968579e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.78990074411291 y[1] (closed_form) = 0.469395608285082 y[1] (numeric) = 0.4693956082844633 absolute error = 6.187272916235997e-13 relative error = 1.318136089692222e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.780006311577059 y[1] (closed_form) = 0.4676684094565175 y[1] (numeric) = 0.4676684094558982 absolute error = 6.193379142871436e-13 relative error = 1.32430992079812e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.769913990390492 y[1] (closed_form) = 0.4658595008830789 y[1] (numeric) = 0.4658595008824591 absolute error = 6.197820034969936e-13 relative error = 1.330405416916776e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.760019557854641 y[1] (closed_form) = 0.4640399966790577 y[1] (numeric) = 0.4640399966784374 absolute error = 6.20281603858075e-13 relative error = 1.336698578349224e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.749927236668073 y[1] (closed_form) = 0.4621373026300896 y[1] (numeric) = 0.4621373026294686 absolute error = 6.210032488240813e-13 relative error = 1.343763520689334e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.739834915481505 y[1] (closed_form) = 0.4601875380102194 y[1] (numeric) = 0.4601875380095977 absolute error = 6.217248937900877e-13 relative error = 1.351025054868568e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.729940482945655 y[1] (closed_form) = 0.4582305003843604 y[1] (numeric) = 0.4582305003837381 absolute error = 6.223355164536315e-13 relative error = 1.358127658310874e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.719848161759087 y[1] (closed_form) = 0.4561881082572258 y[1] (numeric) = 0.4561881082566029 absolute error = 6.228906279659441e-13 relative error = 1.365424956703873e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.709953729223236 y[1] (closed_form) = 0.4541406547454994 y[1] (numeric) = 0.4541406547448757 absolute error = 6.236677840831817e-13 relative error = 1.373292123412041e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.699861408036668 y[1] (closed_form) = 0.4520064509589864 y[1] (numeric) = 0.4520064509583619 absolute error = 6.245004513516506e-13 relative error = 1.38161844820289e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.689966975500818 y[1] (closed_form) = 0.4498693994310843 y[1] (numeric) = 0.4498693994304592 absolute error = 6.251110740151944e-13 relative error = 1.389538996886041e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.67987465431425 y[1] (closed_form) = 0.4476442365078915 y[1] (numeric) = 0.4476442365072656 absolute error = 6.25888230132432e-13 relative error = 1.398182259677989e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.669980221778399 y[1] (closed_form) = 0.4454184406240624 y[1] (numeric) = 0.4454184406234358 absolute error = 6.266098750984384e-13 relative error = 1.406789252417376e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.659887900591831 y[1] (closed_form) = 0.4431032074211545 y[1] (numeric) = 0.443103207420527 absolute error = 6.274980535181385e-13 relative error = 1.416144236847564e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.64999346805598 y[1] (closed_form) = 0.4407895562912039 y[1] (numeric) = 0.4407895562905758 absolute error = 6.281641873329136e-13 relative error = 1.425088635534555e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.639901146869413 y[1] (closed_form) = 0.4383851776447517 y[1] (numeric) = 0.4383851776441227 absolute error = 6.290523657526137e-13 relative error = 1.434930736326971e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.630006714333562 y[1] (closed_form) = 0.4359845954728802 y[1] (numeric) = 0.4359845954722503 absolute error = 6.298850330210826e-13 relative error = 1.444741487569974e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.619914393146994 y[1] (closed_form) = 0.4334920318288285 y[1] (numeric) = 0.4334920318281978 absolute error = 6.306621891383202e-13 relative error = 1.454841479963691e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.609822071960426 y[1] (closed_form) = 0.4309553152516472 y[1] (numeric) = 0.4309553152510156 absolute error = 6.315503675580203e-13 relative error = 1.465466012849244e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.599927639424576 y[1] (closed_form) = 0.4284257245748627 y[1] (numeric) = 0.4284257245742303 absolute error = 6.323275236752579e-13 relative error = 1.475932670249276e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.589835318238008 y[1] (closed_form) = 0.4258023346962199 y[1] (numeric) = 0.4258023346955866 absolute error = 6.332712132461893e-13 relative error = 1.487242228716252e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.579940885702157 y[1] (closed_form) = 0.4231882796548851 y[1] (numeric) = 0.4231882796542508 absolute error = 6.343814362708144e-13 relative error = 1.499052470895838e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4508 Order of pole (three term test) = 32.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.569848564515589 y[1] (closed_form) = 0.4204792644063012 y[1] (numeric) = 0.4204792644056658 absolute error = 6.353806369929771e-13 relative error = 1.511086730733577e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.559954131979739 y[1] (closed_form) = 0.4177817892030702 y[1] (numeric) = 0.417781789202434 absolute error = 6.36213304261446e-13 relative error = 1.522836372248392e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.549861810793171 y[1] (closed_form) = 0.4149882307197209 y[1] (numeric) = 0.4149882307190836 absolute error = 6.372680161348399e-13 relative error = 1.535629131046959e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.53996737825732 y[1] (closed_form) = 0.4122084128800174 y[1] (numeric) = 0.4122084128793792 absolute error = 6.3815619455454e-13 relative error = 1.548139665796413e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.529875057070752 y[1] (closed_form) = 0.4093314270684679 y[1] (numeric) = 0.4093314270678286 absolute error = 6.393219287303964e-13 relative error = 1.561868663027084e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.519980624534901 y[1] (closed_form) = 0.4064703770100602 y[1] (numeric) = 0.40647037700942 absolute error = 6.402656183013278e-13 relative error = 1.575183960541068e-10 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.509888303348334 y[1] (closed_form) = 0.4035111131025081 y[1] (numeric) = 0.4035111131018669 absolute error = 6.412093078722592e-13 relative error = 1.589074717031068e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.499993870812483 y[1] (closed_form) = 0.4005699736919452 y[1] (numeric) = 0.4005699736913029 absolute error = 6.423750420481156e-13 relative error = 1.603652505772009e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.489901549625915 y[1] (closed_form) = 0.3975296137871516 y[1] (numeric) = 0.3975296137865081 absolute error = 6.43540776223972e-13 relative error = 1.618849901754845e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.480007117090064 y[1] (closed_form) = 0.3945095598832371 y[1] (numeric) = 0.3945095598825925 absolute error = 6.446509992485971e-13 relative error = 1.634056724606102e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.469914795903497 y[1] (closed_form) = 0.391389318474329 y[1] (numeric) = 0.3913893184736834 absolute error = 6.455946888195285e-13 relative error = 1.649494910428611e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4871 Order of pole (three term test) = 32.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.459822474716929 y[1] (closed_form) = 0.3882292124655265 y[1] (numeric) = 0.3882292124648797 absolute error = 6.467604229953849e-13 relative error = 1.665924155701743e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.449928042181078 y[1] (closed_form) = 0.3850926799481476 y[1] (numeric) = 0.3850926799474997 absolute error = 6.478151348687788e-13 relative error = 1.682231755108943e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.43983572099451 y[1] (closed_form) = 0.3818545801759251 y[1] (numeric) = 0.3818545801752762 absolute error = 6.488143355909415e-13 relative error = 1.699113665972069e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.42994128845866 y[1] (closed_form) = 0.37864221344511 y[1] (numeric) = 0.3786422134444601 absolute error = 6.498690474643354e-13 relative error = 1.716314305136355e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.419848967272092 y[1] (closed_form) = 0.3753274133911739 y[1] (numeric) = 0.3753274133905227 absolute error = 6.511458039426543e-13 relative error = 1.7348740878248e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.409954534736241 y[1] (closed_form) = 0.372040495649385 y[1] (numeric) = 0.3720404956487324 absolute error = 6.52589093874667e-13 relative error = 1.754080809766672e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.399862213549673 y[1] (closed_form) = 0.3686503194339082 y[1] (numeric) = 0.3686503194332545 absolute error = 6.537548280505234e-13 relative error = 1.773373827681516e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.389967781013822 y[1] (closed_form) = 0.365290163663533 y[1] (numeric) = 0.365290163662878 absolute error = 6.549205622263798e-13 relative error = 1.79287762817951e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.379875459827255 y[1] (closed_form) = 0.361825965516226 y[1] (numeric) = 0.3618259655155697 absolute error = 6.563083410071613e-13 relative error = 1.813878503912205e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.369981027291404 y[1] (closed_form) = 0.358393913955097 y[1] (numeric) = 0.3583939139544394 absolute error = 6.57529586334249e-13 relative error = 1.83465611644463e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.359888706104836 y[1] (closed_form) = 0.3548570776742508 y[1] (numeric) = 0.3548570776735922 absolute error = 6.586398093588741e-13 relative error = 1.856070657166059e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.349994273568985 y[1] (closed_form) = 0.3513545012794794 y[1] (numeric) = 0.3513545012788196 absolute error = 6.598055435347305e-13 relative error = 1.877891249811821e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.339901952382418 y[1] (closed_form) = 0.347746439679198 y[1] (numeric) = 0.3477464396785371 absolute error = 6.608602554081244e-13 relative error = 1.900408401068834e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.330007519846567 y[1] (closed_form) = 0.3441747375795359 y[1] (numeric) = 0.3441747375788738 absolute error = 6.620815007352121e-13 relative error = 1.923678377417839e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.319915198659999 y[1] (closed_form) = 0.3404968919253775 y[1] (numeric) = 0.3404968919247142 absolute error = 6.63358257213531e-13 relative error = 1.948206497458752e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.309822877473431 y[1] (closed_form) = 0.3367843652727321 y[1] (numeric) = 0.3367843652720674 absolute error = 6.646905248430812e-13 relative error = 1.973638308015892e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.299928444937581 y[1] (closed_form) = 0.3331113302955785 y[1] (numeric) = 0.3331113302949125 absolute error = 6.660227924726314e-13 relative error = 1.999399996036316e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.289836123751013 y[1] (closed_form) = 0.3293312409799478 y[1] (numeric) = 0.3293312409792805 absolute error = 6.673550601021816e-13 relative error = 2.026394635736411e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.279941691215162 y[1] (closed_form) = 0.3255927050042886 y[1] (numeric) = 0.32559270500362 absolute error = 6.685763054292693e-13 relative error = 2.053413037679892e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.269849370028594 y[1] (closed_form) = 0.3217465630089105 y[1] (numeric) = 0.3217465630082406 absolute error = 6.699085730588195e-13 relative error = 2.08210016851141e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.259954937492743 y[1] (closed_form) = 0.31794401941921 y[1] (numeric) = 0.3179440194185387 absolute error = 6.712963518396009e-13 relative error = 2.111366501140237e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.249862616306176 y[1] (closed_form) = 0.3140333611125295 y[1] (numeric) = 0.3140333611118568 absolute error = 6.727396417716136e-13 relative error = 2.142255330415505e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.239968183770325 y[1] (closed_form) = 0.310168328861543 y[1] (numeric) = 0.3101683288608689 absolute error = 6.740719094011638e-13 relative error = 2.173245449899125e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.229875862583757 y[1] (closed_form) = 0.3061947163834989 y[1] (numeric) = 0.3061947163828235 absolute error = 6.75404177030714e-13 relative error = 2.205799580763478e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.219981430047906 y[1] (closed_form) = 0.3022687393855168 y[1] (numeric) = 0.3022687393848402 absolute error = 6.766809335090329e-13 relative error = 2.238673224643276e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.209889108861339 y[1] (closed_form) = 0.2982337600235341 y[1] (numeric) = 0.2982337600228558 absolute error = 6.782352457435081e-13 relative error = 2.27417327163091e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.199994676325488 y[1] (closed_form) = 0.294248406537654 y[1] (numeric) = 0.2942484065369743 absolute error = 6.797340468267521e-13 relative error = 2.310068743701994e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.18990235513892 y[1] (closed_form) = 0.2901536720925905 y[1] (numeric) = 0.2901536720919092 absolute error = 6.812328479099961e-13 relative error = 2.347834659464895e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.180007922603069 y[1] (closed_form) = 0.2861105340962655 y[1] (numeric) = 0.2861105340955828 absolute error = 6.826761378420088e-13 relative error = 2.38605733269616e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.169915601416502 y[1] (closed_form) = 0.2819576802385668 y[1] (numeric) = 0.2819576802378829 absolute error = 6.838973831690964e-13 relative error = 2.4255320251977e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.159823280229934 y[1] (closed_form) = 0.2777761078400718 y[1] (numeric) = 0.2777761078393865 absolute error = 6.853406731011091e-13 relative error = 2.467241255665122e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.149928847694083 y[1] (closed_form) = 0.2736490584079982 y[1] (numeric) = 0.2736490584073115 absolute error = 6.867839630331218e-13 relative error = 2.509725292053293e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.139836526507515 y[1] (closed_form) = 0.2694118717505742 y[1] (numeric) = 0.269411871749886 absolute error = 6.882827641163658e-13 relative error = 2.554760336447196e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4539 Order of pole (three term test) = 32.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.129942093971664 y[1] (closed_form) = 0.2652311255382556 y[1] (numeric) = 0.2652311255375658 absolute error = 6.897815651996098e-13 relative error = 2.600681061846639e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.119849772785097 y[1] (closed_form) = 0.2609400171958853 y[1] (numeric) = 0.2609400171951941 absolute error = 6.912803662828537e-13 relative error = 2.649192614116813e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4452 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.109955340249246 y[1] (closed_form) = 0.256707244231772 y[1] (numeric) = 0.2567072442310792 absolute error = 6.928346785173289e-13 relative error = 2.698929204708351e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.099863019062678 y[1] (closed_form) = 0.2523639283178344 y[1] (numeric) = 0.2523639283171401 absolute error = 6.942779684493416e-13 relative error = 2.751098277305892e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.089968586526827 y[1] (closed_form) = 0.2480808194128286 y[1] (numeric) = 0.2480808194121329 absolute error = 6.957212583813543e-13 relative error = 2.804413739151725e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.07987626534026 y[1] (closed_form) = 0.2436870308953836 y[1] (numeric) = 0.2436870308946864 absolute error = 6.972200594645983e-13 relative error = 2.861129116731367e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.069981832804409 y[1] (closed_form) = 0.2393552969674326 y[1] (numeric) = 0.2393552969667339 absolute error = 6.987188605478423e-13 relative error = 2.919170243568548e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.059889511617841 y[1] (closed_form) = 0.2349127909761765 y[1] (numeric) = 0.2349127909754763 absolute error = 7.001899060554706e-13 relative error = 2.980637636400479e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.04999507908199 y[1] (closed_form) = 0.2305341623668347 y[1] (numeric) = 0.2305341623661329 absolute error = 7.017719738655614e-13 relative error = 3.044112710500907e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.039902757895423 y[1] (closed_form) = 0.226044713492001 y[1] (numeric) = 0.2260447134912977 absolute error = 7.03298530524421e-13 relative error = 3.111324833302542e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.030008325359572 y[1] (closed_form) = 0.2216209392752328 y[1] (numeric) = 0.221620939274528 absolute error = 7.048250871832806e-13 relative error = 3.18031811203522e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.019916004173004 y[1] (closed_form) = 0.2170863408587196 y[1] (numeric) = 0.2170863408580132 absolute error = 7.063516438421402e-13 relative error = 3.253782071447028e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.009823682986436 y[1] (closed_form) = 0.2125296313121566 y[1] (numeric) = 0.2125296313114487 absolute error = 7.078782005009998e-13 relative error = 3.330727090291195e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.999929250450585 y[1] (closed_form) = 0.2080412515612265 y[1] (numeric) = 0.2080412515605171 absolute error = 7.094602683110907e-13 relative error = 3.410190349207241e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.989836929264018 y[1] (closed_form) = 0.2034421251294545 y[1] (numeric) = 0.2034421251287435 absolute error = 7.110145805455659e-13 relative error = 3.494923089763894e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.979942496728167 y[1] (closed_form) = 0.1989130587239971 y[1] (numeric) = 0.1989130587232844 absolute error = 7.126244039312724e-13 relative error = 3.582592357197012e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.969850175541599 y[1] (closed_form) = 0.1942733525603848 y[1] (numeric) = 0.1942733525596706 absolute error = 7.142064717413632e-13 relative error = 3.676296632186706e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.959955743005748 y[1] (closed_form) = 0.1897054086677991 y[1] (numeric) = 0.1897054086670834 absolute error = 7.157607839758384e-13 relative error = 3.773012003201429e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.949863421819181 y[1] (closed_form) = 0.1850269761355746 y[1] (numeric) = 0.1850269761348573 absolute error = 7.173150962103136e-13 relative error = 3.876813593303909e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.93996898928333 y[1] (closed_form) = 0.1804219794531452 y[1] (numeric) = 0.1804219794524264 absolute error = 7.188138972935576e-13 relative error = 3.984070563200037e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.929876668096762 y[1] (closed_form) = 0.1757066893850563 y[1] (numeric) = 0.1757066893843359 absolute error = 7.203959651036485e-13 relative error = 4.099991682871679e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.919982235560911 y[1] (closed_form) = 0.1710664794110649 y[1] (numeric) = 0.1710664794103429 absolute error = 7.220057884893549e-13 relative error = 4.220615230844893e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.909889914374344 y[1] (closed_form) = 0.1663162153628614 y[1] (numeric) = 0.1663162153621378 absolute error = 7.236156118750614e-13 relative error = 4.350842221224843e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.899995481838493 y[1] (closed_form) = 0.1616426456617866 y[1] (numeric) = 0.1616426456610613 absolute error = 7.252254352607679e-13 relative error = 4.486597161854151e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.889903160651925 y[1] (closed_form) = 0.1568593051598202 y[1] (numeric) = 0.1568593051590933 absolute error = 7.268907697977056e-13 relative error = 4.634030279919283e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.880008728116074 y[1] (closed_form) = 0.1521542426219178 y[1] (numeric) = 0.1521542426211893 absolute error = 7.284173264565652e-13 relative error = 4.78736125857878e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2899 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.869916406929506 y[1] (closed_form) = 0.147339736405162 y[1] (numeric) = 0.1473397364044319 absolute error = 7.301381721447342e-13 relative error = 4.955473587498246e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.859824085742939 y[1] (closed_form) = 0.1425102230347537 y[1] (numeric) = 0.1425102230340219 absolute error = 7.317757511060563e-13 relative error = 5.134900048030937e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.849929653207088 y[1] (closed_form) = 0.1377613117575153 y[1] (numeric) = 0.1377613117567818 absolute error = 7.334965967942253e-13 relative error = 5.32440194882371e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.83983733202052 y[1] (closed_form) = 0.1329035314623084 y[1] (numeric) = 0.1329035314615733 absolute error = 7.351341757555474e-13 relative error = 5.531336659508045e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.829942899484669 y[1] (closed_form) = 0.1281278573859082 y[1] (numeric) = 0.1281278573851714 absolute error = 7.367717547168695e-13 relative error = 5.750285455080913e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.819850578298102 y[1] (closed_form) = 0.1232437506403748 y[1] (numeric) = 0.1232437506396363 absolute error = 7.384370892538072e-13 relative error = 5.991679784304573e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.809956145762251 y[1] (closed_form) = 0.1184432214413788 y[1] (numeric) = 0.1184432214406387 absolute error = 7.401301793663606e-13 relative error = 6.248818382001487e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.799863824575683 y[1] (closed_form) = 0.1135347392362765 y[1] (numeric) = 0.1135347392355347 absolute error = 7.418371472667218e-13 relative error = 6.534010226798413e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.789969392039832 y[1] (closed_form) = 0.1087112725198043 y[1] (numeric) = 0.1087112725190608 absolute error = 7.434747262280439e-13 relative error = 6.838984670081963e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.779877070853265 y[1] (closed_form) = 0.1037803755828393 y[1] (numeric) = 0.1037803755820942 absolute error = 7.451539385527894e-13 relative error = 7.180104469346369e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.769982638317414 y[1] (closed_form) = 0.09893589811656271 y[1] (numeric) = 0.09893589811581589 absolute error = 7.468192730897272e-13 relative error = 7.548516638620408e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.759890317130846 y[1] (closed_form) = 0.09398455612916352 y[1] (numeric) = 0.09398455612841498 absolute error = 7.485401187778962e-13 relative error = 7.964501292629112e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.749995884594995 y[1] (closed_form) = 0.08912100307364614 y[1] (numeric) = 0.08912100307289592 absolute error = 7.502193311026417e-13 relative error = 8.417985718615505e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1754 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.739903563408427 y[1] (closed_form) = 0.08415119388416013 y[1] (numeric) = 0.08415119388340819 absolute error = 7.519401767908107e-13 relative error = 8.935585368235034e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.730009130872577 y[1] (closed_form) = 0.07927050801984371 y[1] (numeric) = 0.07927050801909012 absolute error = 7.535916335399406e-13 relative error = 9.506582616466829e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.719916809686009 y[1] (closed_form) = 0.07428421685347196 y[1] (numeric) = 0.07428421685271665 absolute error = 7.553124792281096e-13 relative error = 1.016787295096599e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.709824488499441 y[1] (closed_form) = 0.0692903595363558 y[1] (numeric) = 0.0692903595355988 absolute error = 7.57005569340663e-13 relative error = 1.092512110495648e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.69993005596359 y[1] (closed_form) = 0.06438756647040417 y[1] (numeric) = 0.06438756646964544 absolute error = 7.58726415028832e-13 relative error = 1.178374112613157e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.689837734777023 y[1] (closed_form) = 0.05938022699968841 y[1] (numeric) = 0.05938022699892795 absolute error = 7.604611385048088e-13 relative error = 1.280663912768133e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.679943302241172 y[1] (closed_form) = 0.054465196021491 y[1] (numeric) = 0.05446519602072886 absolute error = 7.621403508295543e-13 relative error = 1.399316272595122e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.669850981054604 y[1] (closed_form) = 0.04944637461411126 y[1] (numeric) = 0.04944637461334739 absolute error = 7.638611965177233e-13 relative error = 1.544827507535262e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.659956548518753 y[1] (closed_form) = 0.04452106906732775 y[1] (numeric) = 0.04452106906656219 absolute error = 7.655612255241806e-13 relative error = 1.71954816351433e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.649864227332186 y[1] (closed_form) = 0.0394927705267599 y[1] (numeric) = 0.03949277052599259 absolute error = 7.673167656818691e-13 relative error = 1.942929694339735e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.639969794796335 y[1] (closed_form) = 0.0345591578592986 y[1] (numeric) = 0.03455915785852955 absolute error = 7.69044550263942e-13 relative error = 2.225298872718394e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.629877473609767 y[1] (closed_form) = 0.02952339077472598 y[1] (numeric) = 0.02952339077395523 absolute error = 7.707549876112552e-13 relative error = 2.610658760344945e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.619983041073916 y[1] (closed_form) = 0.02458344175283287 y[1] (numeric) = 0.02458344175206041 absolute error = 7.724584860646644e-13 relative error = 3.142190153157258e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.609890719887348 y[1] (closed_form) = 0.0195422176968012 y[1] (numeric) = 0.019542217696027 absolute error = 7.742001484345451e-13 relative error = 3.961680094072799e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.599996287351498 y[1] (closed_form) = 0.0145979056178236 y[1] (numeric) = 0.01459790561704771 absolute error = 7.758967079940504e-13 relative error = 5.315123472552829e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.58990396616493 y[1] (closed_form) = 0.009553238342704185 y[1] (numeric) = 0.009553238341926555 absolute error = 7.776296967465512e-13 relative error = 8.139959130616978e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.580009533629079 y[1] (closed_form) = 0.004606538246843219 y[1] (numeric) = 0.004606538246063889 absolute error = 7.793297257530085e-13 relative error = 1.691790416126621e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.569917212442511 y[1] (closed_form) = -0.0004395571195745837 y[1] (numeric) = -0.0004395571203556517 absolute error = 7.810679728860459e-13 relative error = 1.776943059509504e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.559824891255944 y[1] (closed_form) = -0.00548560771530531 y[1] (numeric) = -0.005485607716088118 absolute error = 7.8280871368408e-13 relative error = 1.427022773611714e-08 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 10 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.549930458720093 y[1] (closed_form) = -0.01043217699767339 y[1] (numeric) = -0.0104321769984579 absolute error = 7.845096100522753e-13 relative error = 7.520094897040554e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.539838137533525 y[1] (closed_form) = -0.01547662219732358 y[1] (numeric) = -0.01547662219810983 absolute error = 7.86246068251728e-13 relative error = 5.080217493373302e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03094 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.529943704997674 y[1] (closed_form) = -0.02042062966936887 y[1] (numeric) = -0.02042062967015683 absolute error = 7.879565055990412e-13 relative error = 3.858629818751296e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.519851383811107 y[1] (closed_form) = -0.02546145443385876 y[1] (numeric) = -0.02546145443464845 absolute error = 7.896946985219699e-13 relative error = 3.101530199593902e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.509956951275256 y[1] (closed_form) = -0.03040092517705751 y[1] (numeric) = -0.0304009251778489 absolute error = 7.913947275284272e-13 relative error = 2.60319290587138e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.499864630088688 y[1] (closed_form) = -0.03543611591351561 y[1] (numeric) = -0.03543611591430873 absolute error = 7.931225121105001e-13 relative error = 2.238175634277111e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.489970197552837 y[1] (closed_form) = -0.04036907682157229 y[1] (numeric) = -0.04036907682236709 absolute error = 7.948017244352457e-13 relative error = 1.968837999313678e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.479877876366269 y[1] (closed_form) = -0.0453966221876792 y[1] (numeric) = -0.0453966221884757 absolute error = 7.965017534417029e-13 relative error = 1.754539688324821e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.469983443830419 y[1] (closed_form) = -0.05032110275469768 y[1] (numeric) = -0.05032110275549587 absolute error = 7.981948435542563e-13 relative error = 1.58620300402646e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.459891122643851 y[1] (closed_form) = -0.05533899446213088 y[1] (numeric) = -0.05533899446293081 absolute error = 7.99936505924137e-13 relative error = 1.445520493639513e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.449996690108 y[1] (closed_form) = -0.06025302756974684 y[1] (numeric) = -0.06025302757054845 absolute error = 8.016087793549787e-13 relative error = 1.330404150110239e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.439904368921432 y[1] (closed_form) = -0.06525926118640563 y[1] (numeric) = -0.06525926118720893 absolute error = 8.03301869467532e-13 relative error = 1.230939264195762e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.430009936385582 y[1] (closed_form) = -0.0701608838895658 y[1] (numeric) = -0.07016088389037076 absolute error = 8.049533262166619e-13 relative error = 1.147296444388685e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.419917615199014 y[1] (closed_form) = -0.07515345964025574 y[1] (numeric) = -0.0751534596410624 absolute error = 8.066602941170231e-13 relative error = 1.073350845028747e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.409825294012446 y[1] (closed_form) = -0.08013838070427484 y[1] (numeric) = -0.08013838070508325 absolute error = 8.084088953808077e-13 relative error = 1.008766197016113e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.399930861476595 y[1] (closed_form) = -0.08501763751658732 y[1] (numeric) = -0.08501763751739737 absolute error = 8.100464743421298e-13 relative error = 9.52798146365907e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.389838540290028 y[1] (closed_form) = -0.08998590168838744 y[1] (numeric) = -0.08998590168919922 absolute error = 8.117811978181066e-13 relative error = 9.021204239628861e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.379944107754177 y[1] (closed_form) = -0.0948478545002371 y[1] (numeric) = -0.09484785450105056 absolute error = 8.134604101428522e-13 relative error = 8.576476657580259e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.369851786567609 y[1] (closed_form) = -0.09979747717178533 y[1] (numeric) = -0.09979747717260053 absolute error = 8.15195133618829e-13 relative error = 8.168494402073927e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.359957354031758 y[1] (closed_form) = -0.104640183841959 y[1] (numeric) = -0.1046401838427759 absolute error = 8.168882237313824e-13 relative error = 7.806639798771298e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.34986503284519 y[1] (closed_form) = -0.1095691878517007 y[1] (numeric) = -0.1095691878525193 absolute error = 8.185951916317435e-13 relative error = 7.471034582639169e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.33997060030934 y[1] (closed_form) = -0.1143907139269917 y[1] (numeric) = -0.114390713927812 absolute error = 8.202466483808735e-13 relative error = 7.1705702344369e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.329878279122772 y[1] (closed_form) = -0.1192971303496416 y[1] (numeric) = -0.1192971303504635 absolute error = 8.21925860705619e-13 relative error = 6.889737064895695e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.319983846586921 y[1] (closed_form) = -0.1240955498375808 y[1] (numeric) = -0.1240955498384044 absolute error = 8.235911952425568e-13 relative error = 6.636750442062526e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.309891525400353 y[1] (closed_form) = -0.128977418770624 y[1] (numeric) = -0.1289774187714492 absolute error = 8.252565297794945e-13 relative error = 6.398457479189806e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.299997092864503 y[1] (closed_form) = -0.1337508149088308 y[1] (numeric) = -0.1337508149096577 absolute error = 8.26866353165201e-13 relative error = 6.182140675021842e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.289904771677935 y[1] (closed_form) = -0.1386061862554195 y[1] (numeric) = -0.138606186256248 absolute error = 8.285594432777543e-13 relative error = 5.977795549117186e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.280010339142084 y[1] (closed_form) = -0.1433526522772664 y[1] (numeric) = -0.1433526522780965 absolute error = 8.301692666634608e-13 relative error = 5.791098061149117e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.269918017955516 y[1] (closed_form) = -0.1481795865251999 y[1] (numeric) = -0.1481795865260318 absolute error = 8.318346012003985e-13 relative error = 5.613692281824081e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.259825696768949 y[1] (closed_form) = -0.1529914280773176 y[1] (numeric) = -0.1529914280781511 absolute error = 8.334721801617206e-13 relative error = 5.447835807771578e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.249931264233098 y[1] (closed_form) = -0.1576937954179601 y[1] (numeric) = -0.1576937954187952 absolute error = 8.351097591230427e-13 relative error = 5.295768022512382e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2993 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.23983894304653 y[1] (closed_form) = -0.1624743026576044 y[1] (numeric) = -0.1624743026584411 absolute error = 8.366918269331336e-13 relative error = 5.149687139734115e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.229944510510679 y[1] (closed_form) = -0.1671450124161063 y[1] (numeric) = -0.1671450124169445 absolute error = 8.382183835919932e-13 relative error = 5.014917115835049e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.219852189324111 y[1] (closed_form) = -0.1718922757360701 y[1] (numeric) = -0.1718922757369099 absolute error = 8.397726958264684e-13 relative error = 4.88545917628019e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.209957756788261 y[1] (closed_form) = -0.1765294621645996 y[1] (numeric) = -0.176529462165441 absolute error = 8.413825192121749e-13 relative error = 4.766244166243779e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.199865435601693 y[1] (closed_form) = -0.1812415852371932 y[1] (numeric) = -0.1812415852380362 absolute error = 8.429645870222657e-13 relative error = 4.651055031984338e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.189971003065842 y[1] (closed_form) = -0.1858433959790484 y[1] (numeric) = -0.1858433959798929 absolute error = 8.44518899256741e-13 relative error = 4.544250253325925e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.179878681879274 y[1] (closed_form) = -0.1905184965136007 y[1] (numeric) = -0.1905184965144469 absolute error = 8.462119893692943e-13 relative error = 4.441626429215943e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.169984249343424 y[1] (closed_form) = -0.195083093343146 y[1] (numeric) = -0.1950830933439938 absolute error = 8.478218127550008e-13 relative error = 4.345952272059294e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.159891928156856 y[1] (closed_form) = -0.199719303837899 y[1] (numeric) = -0.1997193038387483 absolute error = 8.493206138382448e-13 relative error = 4.252571471646982e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.149997495621005 y[1] (closed_form) = -0.2042448633948578 y[1] (numeric) = -0.2042448633957086 absolute error = 8.508194149214887e-13 relative error = 4.165683292003462e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.139905174434437 y[1] (closed_form) = -0.208840331882953 y[1] (numeric) = -0.2088403318838055 absolute error = 8.525402606096577e-13 relative error = 4.082258694587183e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.130010741898587 y[1] (closed_form) = -0.2133250464007615 y[1] (numeric) = -0.2133250464016156 absolute error = 8.540945728441329e-13 relative error = 4.003723834844946e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.119918420712019 y[1] (closed_form) = -0.2178779371900212 y[1] (numeric) = -0.2178779371908769 absolute error = 8.556488850786081e-13 relative error = 3.927193804540007e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.109826099525451 y[1] (closed_form) = -0.2224086362219133 y[1] (numeric) = -0.2224086362227705 absolute error = 8.57230952888699e-13 relative error = 3.854306053265743e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.0999316669896 y[1] (closed_form) = -0.2268285096241613 y[1] (numeric) = -0.22682850962502 absolute error = 8.587019983963273e-13 relative error = 3.785688138669762e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.089839345803032 y[1] (closed_form) = -0.2313139006206591 y[1] (numeric) = -0.2313139006215194 absolute error = 8.602563106308025e-13 relative error = 3.718999629173048e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.079944913267182 y[1] (closed_form) = -0.235688473816323 y[1] (numeric) = -0.2356884738171849 absolute error = 8.618383784408934e-13 relative error = 3.656684455059699e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.069852592080614 y[1] (closed_form) = -0.2401267650564765 y[1] (numeric) = -0.2401267650573398 absolute error = 8.632816683729061e-13 relative error = 3.595108059569565e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.059958159544763 y[1] (closed_form) = -0.2444542905915555 y[1] (numeric) = -0.2444542905924204 absolute error = 8.648082250317657e-13 relative error = 3.537709331830561e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.049865838358195 y[1] (closed_form) = -0.2488437091687432 y[1] (numeric) = -0.2488437091696095 absolute error = 8.663347816906253e-13 relative error = 3.481441361666715e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.039971405822345 y[1] (closed_form) = -0.253122458382755 y[1] (numeric) = -0.2531224583836227 absolute error = 8.677503160470224e-13 relative error = 3.428183818975351e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.029879084635777 y[1] (closed_form) = -0.2574612509128839 y[1] (numeric) = -0.2574612509137532 absolute error = 8.693601394327288e-13 relative error = 3.376664008079767e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.019984652099926 y[1] (closed_form) = -0.2616895146293903 y[1] (numeric) = -0.261689514630261 absolute error = 8.70692407062279e-13 relative error = 3.327196384980767e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.009892330913358 y[1] (closed_form) = -0.2659759479512978 y[1] (numeric) = -0.2659759479521701 absolute error = 8.723022304479855e-13 relative error = 3.279628241451782e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9999978983775074 y[1] (closed_form) = -0.2701520371606475 y[1] (numeric) = -0.2701520371615211 absolute error = 8.736344980775357e-13 relative error = 3.233862336407346e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.989905577190934 y[1] (closed_form) = -0.2743843990284269 y[1] (numeric) = -0.2743843990292997 absolute error = 8.727463196578356e-13 relative error = 3.180743230111333e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9800111446550777 y[1] (closed_form) = -0.2785066455624442 y[1] (numeric) = -0.2785066455633161 absolute error = 8.719136523893667e-13 relative error = 3.130674496576327e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9699188234685042 y[1] (closed_form) = -0.2826832453294064 y[1] (numeric) = -0.2826832453302774 absolute error = 8.709699628184353e-13 relative error = 3.081080952652526e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9598265022819308 y[1] (closed_form) = -0.2868310526538058 y[1] (numeric) = -0.2868310526546757 absolute error = 8.699707620962727e-13 relative error = 3.033042461920239e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4699 Order of pole (three term test) = 32.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9499320697460745 y[1] (closed_form) = -0.2908691718217672 y[1] (numeric) = -0.2908691718226362 absolute error = 8.690270725253413e-13 relative error = 2.987690538266619e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.939839748559501 y[1] (closed_form) = -0.294958714903194 y[1] (numeric) = -0.2949587149040619 absolute error = 8.679168495007161e-13 relative error = 2.942502816997857e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9299453160236447 y[1] (closed_form) = -0.2989389085796535 y[1] (numeric) = -0.2989389085805207 absolute error = 8.67250715685941e-13 relative error = 2.901096815421264e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9198529948370713 y[1] (closed_form) = -0.3029685538213889 y[1] (numeric) = -0.3029685538222553 absolute error = 8.664735595687034e-13 relative error = 2.859945524509852e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.909958562301215 y[1] (closed_form) = -0.3068892320900155 y[1] (numeric) = -0.3068892320908811 absolute error = 8.656408923002346e-13 relative error = 2.820694901560862e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8998662411146415 y[1] (closed_form) = -0.3108573698219533 y[1] (numeric) = -0.3108573698228182 absolute error = 8.649192473342282e-13 relative error = 2.782366870792285e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8899718085787852 y[1] (closed_form) = -0.314716966540264 y[1] (numeric) = -0.3147169665411281 absolute error = 8.640865800657593e-13 relative error = 2.745598972832024e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8798794873922118 y[1] (closed_form) = -0.3186220116619051 y[1] (numeric) = -0.3186220116627685 absolute error = 8.634204462509842e-13 relative error = 2.709858122316964e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8699850548563555 y[1] (closed_form) = -0.3224189850868714 y[1] (numeric) = -0.3224189850877338 absolute error = 8.623657343775903e-13 relative error = 2.67467417945391e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.859892733669782 y[1] (closed_form) = -0.3262593777005033 y[1] (numeric) = -0.3262593777013647 absolute error = 8.613665336554277e-13 relative error = 2.640128046974139e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8499983011339257 y[1] (closed_form) = -0.3299922111044112 y[1] (numeric) = -0.3299922111052715 absolute error = 8.603673329332651e-13 relative error = 2.607235273989666e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8399059799473523 y[1] (closed_form) = -0.3337664171382197 y[1] (numeric) = -0.3337664171390791 absolute error = 8.593681322111024e-13 relative error = 2.574759137181917e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.830011547411496 y[1] (closed_form) = -0.3374336194145372 y[1] (numeric) = -0.3374336194153956 absolute error = 8.58424442640171e-13 relative error = 2.54398018825029e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8199192262249225 y[1] (closed_form) = -0.3411401312354028 y[1] (numeric) = -0.3411401312362604 absolute error = 8.575917753717022e-13 relative error = 2.513898825875527e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8098269050383491 y[1] (closed_form) = -0.3448118965412316 y[1] (numeric) = -0.3448118965420884 absolute error = 8.568701304056958e-13 relative error = 2.485036447410491e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7999324725024928 y[1] (closed_form) = -0.3483775745101451 y[1] (numeric) = -0.3483775745110012 absolute error = 8.560929742884582e-13 relative error = 2.457371073589376e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7898401513159193 y[1] (closed_form) = -0.3519794278476966 y[1] (numeric) = -0.351979427848552 absolute error = 8.553158181712206e-13 relative error = 2.430016502388657e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.779945718780063 y[1] (closed_form) = -0.3554758559148767 y[1] (numeric) = -0.3554758559157314 absolute error = 8.546496843564455e-13 relative error = 2.404241160505433e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7698533975934896 y[1] (closed_form) = -0.359006358498527 y[1] (numeric) = -0.3590063584993808 absolute error = 8.538170170879766e-13 relative error = 2.378278258521373e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7599589650576333 y[1] (closed_form) = -0.3624321399912145 y[1] (numeric) = -0.3624321399920676 absolute error = 8.531508832732015e-13 relative error = 2.35396033942763e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7498666438710598 y[1] (closed_form) = -0.3658898815368993 y[1] (numeric) = -0.3658898815377519 absolute error = 8.52595771760889e-13 relative error = 2.330197731021174e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7399722113352035 y[1] (closed_form) = -0.3692436480026058 y[1] (numeric) = -0.3692436480034575 absolute error = 8.517075933411888e-13 relative error = 2.306627610111733e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7298798901486301 y[1] (closed_form) = -0.372627247291169 y[1] (numeric) = -0.3726272472920201 absolute error = 8.51096970677645e-13 relative error = 2.28404384506161e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7199854576127738 y[1] (closed_form) = -0.3759076590443146 y[1] (numeric) = -0.3759076590451648 absolute error = 8.502643034091761e-13 relative error = 2.261896726368486e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7098931364262003 y[1] (closed_form) = -0.3792157644732455 y[1] (numeric) = -0.379215764474095 absolute error = 8.495426584431698e-13 relative error = 2.240261977566354e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.699998703890344 y[1] (closed_form) = -0.3824215111303055 y[1] (numeric) = -0.3824215111311544 absolute error = 8.488765246283947e-13 relative error = 2.219740521707081e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4927 Order of pole (three term test) = 32.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6899063827037706 y[1] (closed_form) = -0.3856528012536461 y[1] (numeric) = -0.3856528012544946 absolute error = 8.484879465697759e-13 relative error = 2.200134275730881e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6800119501679143 y[1] (closed_form) = -0.3887826022565933 y[1] (numeric) = -0.388782602257441 absolute error = 8.477663016037695e-13 relative error = 2.180566457148849e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6699196289813408 y[1] (closed_form) = -0.3919357863127992 y[1] (numeric) = -0.3919357863136464 absolute error = 8.471556789402257e-13 relative error = 2.161465496452832e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6598273077947674 y[1] (closed_form) = -0.3950490501091306 y[1] (numeric) = -0.3950490501099772 absolute error = 8.466005674279131e-13 relative error = 2.143026460116898e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6499328752589111 y[1] (closed_form) = -0.3980622098681756 y[1] (numeric) = -0.3980622098690216 absolute error = 8.460454559156005e-13 relative error = 2.125410136761742e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6398405540723376 y[1] (closed_form) = -0.4010954840345956 y[1] (numeric) = -0.401095484035441 absolute error = 8.453793221008254e-13 relative error = 2.107675991754395e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6299461215364813 y[1] (closed_form) = -0.4040296246768387 y[1] (numeric) = -0.4040296246776835 absolute error = 8.447686994372816e-13 relative error = 2.090858312959021e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6198538003499079 y[1] (closed_form) = -0.4069816975506683 y[1] (numeric) = -0.4069816975515124 absolute error = 8.441025656225065e-13 relative error = 2.074055346229464e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6099593678140516 y[1] (closed_form) = -0.4098356470130133 y[1] (numeric) = -0.4098356470138567 absolute error = 8.433809206565002e-13 relative error = 2.057851548061461e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5998670466274781 y[1] (closed_form) = -0.4127053393680003 y[1] (numeric) = -0.4127053393688429 absolute error = 8.426037645392626e-13 relative error = 2.041659470239931e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5899726140916218 y[1] (closed_form) = -0.4154779576202813 y[1] (numeric) = -0.4154779576211231 absolute error = 8.418266084220249e-13 relative error = 2.026164307834105e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5798802929050484 y[1] (closed_form) = -0.4182641231376505 y[1] (numeric) = -0.4182641231384917 absolute error = 8.411049634560186e-13 relative error = 2.010942170096696e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4584 Order of pole (three term test) = 32.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5699858603691921 y[1] (closed_form) = -0.4209543026380247 y[1] (numeric) = -0.4209543026388655 absolute error = 8.40771896548631e-13 relative error = 1.997299686164757e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5598935391826186 y[1] (closed_form) = -0.4236558283643835 y[1] (numeric) = -0.4236558283652236 absolute error = 8.40105762733856e-13 relative error = 1.982991160483426e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5499991066467623 y[1] (closed_form) = -0.4262624945017469 y[1] (numeric) = -0.4262624945025865 absolute error = 8.395506512215434e-13 relative error = 1.969562563093626e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5399067854601889 y[1] (closed_form) = -0.4288783012936614 y[1] (numeric) = -0.4288783012945006 absolute error = 8.391620731629246e-13 relative error = 1.956643809285035e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4409 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5300123529243326 y[1] (closed_form) = -0.4314004128169099 y[1] (numeric) = -0.4314004128177485 absolute error = 8.386624728018433e-13 relative error = 1.944046523566446e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5199200317377591 y[1] (closed_form) = -0.4339294557719773 y[1] (numeric) = -0.4339294557728154 absolute error = 8.381628724407619e-13 relative error = 1.931564823018612e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5098277105511857 y[1] (closed_form) = -0.4364143012405006 y[1] (numeric) = -0.4364143012413384 absolute error = 8.377742943821431e-13 relative error = 1.919676536723895e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4999332780153294 y[1] (closed_form) = -0.4388072740801826 y[1] (numeric) = -0.4388072740810199 absolute error = 8.373302051722931e-13 relative error = 1.908195817691229e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4898409568287588 y[1] (closed_form) = -0.4412038486421715 y[1] (numeric) = -0.4412038486430092 absolute error = 8.376077609284494e-13 relative error = 1.898459778866916e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4152 Order of pole (three term test) = 32.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4799465242929053 y[1] (closed_form) = -0.443509807739479 y[1] (numeric) = -0.443509807740317 absolute error = 8.379408278358369e-13 relative error = 1.889340017319413e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4698542031063347 y[1] (closed_form) = -0.4458171540663859 y[1] (numeric) = -0.4458171540672242 absolute error = 8.382183835919932e-13 relative error = 1.880184232361717e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4599597705704812 y[1] (closed_form) = -0.4480351782897554 y[1] (numeric) = -0.4480351782905937 absolute error = 8.383294058944557e-13 relative error = 1.871124069084342e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4498674493839105 y[1] (closed_form) = -0.4502523746958774 y[1] (numeric) = -0.4502523746967159 absolute error = 8.384959393481495e-13 relative error = 1.862279882287152e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.439973016848057 y[1] (closed_form) = -0.4523815780399479 y[1] (numeric) = -0.4523815780407865 absolute error = 8.385514504993807e-13 relative error = 1.853637484825546e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4298806956614864 y[1] (closed_form) = -0.4545077388506016 y[1] (numeric) = -0.4545077388514405 absolute error = 8.389400285579995e-13 relative error = 1.845821218973264e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4199862631256329 y[1] (closed_form) = -0.4565472707901365 y[1] (numeric) = -0.4565472707909756 absolute error = 8.391620731629246e-13 relative error = 1.838061744867306e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4098939419390623 y[1] (closed_form) = -0.4585815466954464 y[1] (numeric) = -0.4585815466962859 absolute error = 8.394951400703121e-13 relative error = 1.830634368346789e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3999995094032087 y[1] (closed_form) = -0.4605305925250817 y[1] (numeric) = -0.4605305925259214 absolute error = 8.397171846752371e-13 relative error = 1.823368953778036e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3899071882166381 y[1] (closed_form) = -0.4624721709192438 y[1] (numeric) = -0.4624721709200837 absolute error = 8.398837181289309e-13 relative error = 1.816074070920886e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3800127556807846 y[1] (closed_form) = -0.4643299520789279 y[1] (numeric) = -0.4643299520797678 absolute error = 8.398837181289309e-13 relative error = 1.808807970212883e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.369920434494214 y[1] (closed_form) = -0.4661780573848101 y[1] (numeric) = -0.4661780573856502 absolute error = 8.401612738850872e-13 relative error = 1.802232560233031e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3598281133076434 y[1] (closed_form) = -0.4679786805524223 y[1] (numeric) = -0.4679786805532626 absolute error = 8.402722961875497e-13 relative error = 1.795535418826464e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3499336807717898 y[1] (closed_form) = -0.4696977257497572 y[1] (numeric) = -0.4696977257505974 absolute error = 8.402167850363185e-13 relative error = 1.788845759674733e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3221 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3398413595852192 y[1] (closed_form) = -0.4714037790978477 y[1] (numeric) = -0.471403779098688 absolute error = 8.40327807338781e-13 relative error = 1.782607277665368e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3299469270493657 y[1] (closed_form) = -0.4730297700578258 y[1] (numeric) = -0.4730297700586662 absolute error = 8.404388296412435e-13 relative error = 1.776714454015238e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3198546058627951 y[1] (closed_form) = -0.4746405720913972 y[1] (numeric) = -0.4746405720922377 absolute error = 8.40549851943706e-13 relative error = 1.770918672712726e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3099601733269415 y[1] (closed_form) = -0.4761728593005045 y[1] (numeric) = -0.4761728593013452 absolute error = 8.40771896548631e-13 relative error = 1.765686305144986e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2998678521403709 y[1] (closed_form) = -0.477687766573366 y[1] (numeric) = -0.4776877665742068 absolute error = 8.40771896548631e-13 relative error = 1.760086724807303e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2822 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2899734196045174 y[1] (closed_form) = -0.4791257379487103 y[1] (numeric) = -0.4791257379495512 absolute error = 8.408274076998623e-13 relative error = 1.754920141213269e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2798810984179468 y[1] (closed_form) = -0.4805441453205075 y[1] (numeric) = -0.4805441453213483 absolute error = 8.40771896548631e-13 relative error = 1.749624680138103e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2699866658820932 y[1] (closed_form) = -0.481887226454319 y[1] (numeric) = -0.48188722645516 absolute error = 8.409384300023248e-13 relative error = 1.745093839050001e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2598943446955226 y[1] (closed_form) = -0.4832085673322608 y[1] (numeric) = -0.4832085673331018 absolute error = 8.410494523047873e-13 relative error = 1.740551615109238e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2499999121596691 y[1] (closed_form) = -0.4844562217213433 y[1] (numeric) = -0.4844562217221846 absolute error = 8.412714969097124e-13 relative error = 1.736527387181761e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2399075909730985 y[1] (closed_form) = -0.4856799682865315 y[1] (numeric) = -0.485679968287373 absolute error = 8.414935415146374e-13 relative error = 1.732609118064738e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.230013158437245 y[1] (closed_form) = -0.4868316975465729 y[1] (numeric) = -0.4868316975474144 absolute error = 8.415490526658687e-13 relative error = 1.728624197863291e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2199208372506744 y[1] (closed_form) = -0.4879573609648433 y[1] (numeric) = -0.4879573609656851 absolute error = 8.417710972707937e-13 relative error = 1.725091503090251e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2098285160641037 y[1] (closed_form) = -0.4890333239338623 y[1] (numeric) = -0.4890333239347042 absolute error = 8.418266084220249e-13 relative error = 1.721409497516932e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1999340835282502 y[1] (closed_form) = -0.4900398356466888 y[1] (numeric) = -0.4900398356475305 absolute error = 8.417155861195624e-13 relative error = 1.717647270468898e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1898417623416796 y[1] (closed_form) = -0.4910170537060804 y[1] (numeric) = -0.4910170537069222 absolute error = 8.417710972707937e-13 relative error = 1.714341876554602e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1799473298058261 y[1] (closed_form) = -0.4919265604729238 y[1] (numeric) = -0.4919265604737655 absolute error = 8.417155861195624e-13 relative error = 1.711059442105264e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1698550086192555 y[1] (closed_form) = -0.4928046432660678 y[1] (numeric) = -0.4928046432669093 absolute error = 8.415490526658687e-13 relative error = 1.707672734348633e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1599605760834019 y[1] (closed_form) = -0.4936167817780594 y[1] (numeric) = -0.4936167817789011 absolute error = 8.416600749683312e-13 relative error = 1.705088048134391e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1498682548968313 y[1] (closed_form) = -0.4943953785486141 y[1] (numeric) = -0.4943953785494559 absolute error = 8.418266084220249e-13 relative error = 1.702739639058434e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1399738223609778 y[1] (closed_form) = -0.495109824391319 y[1] (numeric) = -0.4951098243921607 absolute error = 8.417155861195624e-13 relative error = 1.700058339893287e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1298815011744072 y[1] (closed_form) = -0.4957886241233336 y[1] (numeric) = -0.4957886241241753 absolute error = 8.416600749683312e-13 relative error = 1.697618771420132e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1199870686385533 y[1] (closed_form) = -0.4964050919063397 y[1] (numeric) = -0.4964050919071814 absolute error = 8.416600749683312e-13 relative error = 1.695510559200978e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.109894747451982 y[1] (closed_form) = -0.4969838234484919 y[1] (numeric) = -0.4969838234493334 absolute error = 8.414935415146374e-13 relative error = 1.69320106975645e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1000003149161277 y[1] (closed_form) = -0.4975020669194117 y[1] (numeric) = -0.4975020669202532 absolute error = 8.414935415146374e-13 relative error = 1.691437277286624e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.08990799372955641 y[1] (closed_form) = -0.4979804990933203 y[1] (numeric) = -0.4979804990941618 absolute error = 8.414935415146374e-13 relative error = 1.68981223772167e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.08001356119370218 y[1] (closed_form) = -0.498400311236158 y[1] (numeric) = -0.4984003112369994 absolute error = 8.414380303634061e-13 relative error = 1.688277497813812e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.06992124000713086 y[1] (closed_form) = -0.4987782529287295 y[1] (numeric) = -0.498778252929571 absolute error = 8.415490526658687e-13 relative error = 1.687220819521411e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.05982891882055955 y[1] (closed_form) = -0.4991053920200278 y[1] (numeric) = -0.4991053920208695 absolute error = 8.416045638170999e-13 relative error = 1.686226150374525e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.04993448628470532 y[1] (closed_form) = -0.4993767662863444 y[1] (numeric) = -0.4993767662871859 absolute error = 8.415490526658687e-13 relative error = 1.685198650558207e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.039842165098134 y[1] (closed_form) = -0.4996032029638121 y[1] (numeric) = -0.4996032029646535 absolute error = 8.414935415146374e-13 relative error = 1.684323752375122e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.02994773256227977 y[1] (closed_form) = -0.4997758000857988 y[1] (numeric) = -0.4997758000866404 absolute error = 8.415490526658687e-13 relative error = 1.683853144792917e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.01985541137570845 y[1] (closed_form) = -0.499901443897714 y[1] (numeric) = -0.4999014438985553 absolute error = 8.413825192121749e-13 relative error = 1.683096797344583e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.009960978839854273 y[1] (closed_form) = -0.4999751949302378 y[1] (numeric) = -0.4999751949310792 absolute error = 8.413825192121749e-13 relative error = 1.682848524774462e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.0001313423467169804 y[1] (closed_form) = -0.499999995687297 y[1] (numeric) = -0.4999999956881383 absolute error = 8.413270080609436e-13 relative error = 1.682654030635462e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.01002577488257115 y[1] (closed_form) = -0.4999748711699898 y[1] (numeric) = -0.499974871170831 absolute error = 8.411604746072499e-13 relative error = 1.682405502978285e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.02011809606914242 y[1] (closed_form) = -0.4998988189653563 y[1] (numeric) = -0.4998988189661972 absolute error = 8.409384300023248e-13 relative error = 1.682217276973809e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.03001252860499665 y[1] (closed_form) = -0.4997748289343831 y[1] (numeric) = -0.4997748289352241 absolute error = 8.409939411535561e-13 relative error = 1.682745693589088e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.04010484979156796 y[1] (closed_form) = -0.4995979541476443 y[1] (numeric) = -0.4995979541484853 absolute error = 8.410494523047873e-13 relative error = 1.6834525548442e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.04999928232742219 y[1] (closed_form) = -0.4993751481316941 y[1] (numeric) = -0.4993751481325353 absolute error = 8.411604746072499e-13 relative error = 1.684425982659075e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.06009160351399351 y[1] (closed_form) = -0.4990975214167266 y[1] (numeric) = -0.4990975214175677 absolute error = 8.411049634560186e-13 relative error = 1.685251734106949e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.06998603604984774 y[1] (closed_form) = -0.498775988417228 y[1] (numeric) = -0.4987759884180692 absolute error = 8.411604746072499e-13 relative error = 1.686449416453496e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.08007835723641905 y[1] (closed_form) = -0.4983977206739737 y[1] (numeric) = -0.4983977206748149 absolute error = 8.411604746072499e-13 relative error = 1.687729376991862e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.09017067842299037 y[1] (closed_form) = -0.4979686890882098 y[1] (numeric) = -0.497968689089051 absolute error = 8.411049634560186e-13 relative error = 1.689071987630583e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1000651109588446 y[1] (closed_form) = -0.4974988314597095 y[1] (numeric) = -0.4974988314605506 absolute error = 8.411049634560186e-13 relative error = 1.690667214208595e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1101574321454159 y[1] (closed_form) = -0.4969694015029029 y[1] (numeric) = -0.4969694015037441 absolute error = 8.411604746072499e-13 relative error = 1.692580010084054e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1200518646812701 y[1] (closed_form) = -0.4964012128415467 y[1] (numeric) = -0.4964012128423878 absolute error = 8.411049634560186e-13 relative error = 1.694405536685308e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1301441858678411 y[1] (closed_form) = -0.4957715959982137 y[1] (numeric) = -0.4957715959990545 absolute error = 8.408274076998623e-13 relative error = 1.695997540978309e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1400386184036946 y[1] (closed_form) = -0.4951053032709548 y[1] (numeric) = -0.4951053032717955 absolute error = 8.406608742461685e-13 relative error = 1.697943586328548e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1501309395902652 y[1] (closed_form) = -0.4943757510459674 y[1] (numeric) = -0.4943757510468081 absolute error = 8.407163853973998e-13 relative error = 1.700561533648582e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600253721261188 y[1] (closed_form) = -0.4936116204081175 y[1] (numeric) = -0.4936116204089583 absolute error = 8.408274076998623e-13 relative error = 1.703418989619141e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1701176933126894 y[1] (closed_form) = -0.4927824242262382 y[1] (numeric) = -0.492782424227079 absolute error = 8.408274076998623e-13 relative error = 1.706285302322056e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800121258485429 y[1] (closed_form) = -0.4919207609151495 y[1] (numeric) = -0.4919207609159905 absolute error = 8.409384300023248e-13 relative error = 1.709499774796813e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1901044470351135 y[1] (closed_form) = -0.4909922520046195 y[1] (numeric) = -0.4909922520054601 absolute error = 8.40549851943706e-13 relative error = 1.711941173230158e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1999988795709671 y[1] (closed_form) = -0.4900334002177563 y[1] (numeric) = -0.4900334002185969 absolute error = 8.40549851943706e-13 relative error = 1.715290940515872e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100912007575377 y[1] (closed_form) = -0.489005949477984 y[1] (numeric) = -0.4890059494788245 absolute error = 8.404943407924748e-13 relative error = 1.718781421145706e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2199856332933912 y[1] (closed_form) = -0.4879502922354299 y[1] (numeric) = -0.4879502922362704 absolute error = 8.404943407924748e-13 relative error = 1.722499922977701e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300779544799618 y[1] (closed_form) = -0.4868243100888328 y[1] (numeric) = -0.4868243100896734 absolute error = 8.406053630949373e-13 relative error = 1.72671196913225e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2401702756665324 y[1] (closed_form) = -0.4856487428988415 y[1] (numeric) = -0.4856487428996821 absolute error = 8.406053630949373e-13 relative error = 1.730891668899124e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.250064708202386 y[1] (closed_form) = -0.4844482053083489 y[1] (numeric) = -0.4844482053091897 absolute error = 8.40771896548631e-13 relative error = 1.735524845248387e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2601570293889566 y[1] (closed_form) = -0.4831747985089851 y[1] (numeric) = -0.4831747985098258 absolute error = 8.407163853973998e-13 relative error = 1.739983931264093e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700514619248101 y[1] (closed_form) = -0.4818785842882828 y[1] (numeric) = -0.4818785842891234 absolute error = 8.406053630949373e-13 relative error = 1.744433951835566e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2801437831113807 y[1] (closed_form) = -0.48050784655084 y[1] (numeric) = -0.4805078465516804 absolute error = 8.403833184900122e-13 relative error = 1.748948169155643e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900382156472343 y[1] (closed_form) = -0.4791164734818063 y[1] (numeric) = -0.4791164734826466 absolute error = 8.40327807338781e-13 relative error = 1.753911321879629e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3001305368338049 y[1] (closed_form) = -0.4776489523571051 y[1] (numeric) = -0.4776489523579455 absolute error = 8.403833184900122e-13 relative error = 1.759416228891288e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100249693696584 y[1] (closed_form) = -0.476162976233489 y[1] (numeric) = -0.4761629762343291 absolute error = 8.401612738850872e-13 relative error = 1.764440571442307e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.320117290556229 y[1] (closed_form) = -0.4745992579331543 y[1] (numeric) = -0.4745992579339945 absolute error = 8.402167850363185e-13 relative error = 1.770371046712973e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300117230920825 y[1] (closed_form) = -0.4730192723385594 y[1] (numeric) = -0.4730192723393993 absolute error = 8.398837181289309e-13 relative error = 1.775580335187255e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3401040442786532 y[1] (closed_form) = -0.4713599815008537 y[1] (numeric) = -0.4713599815016933 absolute error = 8.396616735240059e-13 relative error = 1.781359696362949e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3499984768145067 y[1] (closed_form) = -0.4696866175716276 y[1] (numeric) = -0.4696866175724673 absolute error = 8.397171846752371e-13 relative error = 1.787824377489698e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3221 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600907980010773 y[1] (closed_form) = -0.4679324170119351 y[1] (numeric) = -0.4679324170127746 absolute error = 8.395506512215434e-13 relative error = 1.794170740686533e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3699852305369308 y[1] (closed_form) = -0.4661663431850572 y[1] (numeric) = -0.4661663431858966 absolute error = 8.394396289190809e-13 relative error = 1.800729806411277e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800775517235014 y[1] (closed_form) = -0.4643179336311172 y[1] (numeric) = -0.4643179336319566 absolute error = 8.393841177678496e-13 relative error = 1.807778801916163e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.390169872910072 y[1] (closed_form) = -0.4624222314001053 y[1] (numeric) = -0.4624222314009445 absolute error = 8.392175843141558e-13 relative error = 1.814829667192261e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000643054459256 y[1] (closed_form) = -0.4605179751891836 y[1] (numeric) = -0.4605179751900227 absolute error = 8.390510508604621e-13 relative error = 1.8219724225005e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4101566266324962 y[1] (closed_form) = -0.4585291893653888 y[1] (numeric) = -0.4585291893662276 absolute error = 8.38829006255537e-13 relative error = 1.829390637958052e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200510591683497 y[1] (closed_form) = -0.4565340596062346 y[1] (numeric) = -0.4565340596070731 absolute error = 8.385514504993807e-13 relative error = 1.836777416393949e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4301433803549203 y[1] (closed_form) = -0.4544529846241281 y[1] (numeric) = -0.4544529846249665 absolute error = 8.383294058944557e-13 relative error = 1.844699967341674e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400378128907739 y[1] (closed_form) = -0.4523677782853424 y[1] (numeric) = -0.4523677782861803 absolute error = 8.378853166846056e-13 relative error = 1.852221481955526e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4501301340773445 y[1] (closed_form) = -0.4501952454449488 y[1] (numeric) = -0.4501952454457863 absolute error = 8.374967386259868e-13 relative error = 1.860296720366849e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.460024566613198 y[1] (closed_form) = -0.4480207954768552 y[1] (numeric) = -0.4480207954776926 absolute error = 8.373857163235243e-13 relative error = 1.869077785624314e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4701168877997686 y[1] (closed_form) = -0.4457576726116827 y[1] (numeric) = -0.4457576726125199 absolute error = 8.372191828698305e-13 relative error = 1.878193543959849e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800113203356222 y[1] (closed_form) = -0.4434948476135998 y[1] (numeric) = -0.4434948476144368 absolute error = 8.369971382649055e-13 relative error = 1.887275901329409e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4901036415221928 y[1] (closed_form) = -0.4411420387439788 y[1] (numeric) = -0.4411420387448155 absolute error = 8.367195825087492e-13 relative error = 1.896712416914652e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4999980740580463 y[1] (closed_form) = -0.4387917426172518 y[1] (numeric) = -0.4387917426180885 absolute error = 8.367195825087492e-13 relative error = 1.906871759978858e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100903952446197 y[1] (closed_form) = -0.4363501875892165 y[1] (numeric) = -0.4363501875900536 absolute error = 8.37108160567368e-13 relative error = 1.918431994248226e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5199848277804761 y[1] (closed_form) = -0.4339133591761469 y[1] (numeric) = -0.4339133591769844 absolute error = 8.374967386259868e-13 relative error = 1.930101299983266e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300771489670495 y[1] (closed_form) = -0.4313840332860094 y[1] (numeric) = -0.4313840332868474 absolute error = 8.379963389870682e-13 relative error = 1.942576160280539e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5401694701536229 y[1] (closed_form) = -0.4288107691709995 y[1] (numeric) = -0.4288107691718381 absolute error = 8.38606961650612e-13 relative error = 1.955657418007139e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500639026894792 y[1] (closed_form) = -0.4262455595995893 y[1] (numeric) = -0.4262455596004284 absolute error = 8.391065620116933e-13 relative error = 1.968598952209476e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5601562238760527 y[1] (closed_form) = -0.4235860583539987 y[1] (numeric) = -0.4235860583548384 absolute error = 8.397726958264684e-13 relative error = 1.982531481535813e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.570050656411909 y[1] (closed_form) = -0.4209368191293756 y[1] (numeric) = -0.420936819130216 absolute error = 8.404388296412435e-13 relative error = 1.996591391980214e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5801429775984824 y[1] (closed_form) = -0.4181921431096637 y[1] (numeric) = -0.4181921431105048 absolute error = 8.411049634560186e-13 relative error = 2.011288297292217e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900374101343387 y[1] (closed_form) = -0.4154599324890511 y[1] (numeric) = -0.4154599324898928 absolute error = 8.417710972707937e-13 relative error = 2.026118601203445e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6001297313209122 y[1] (closed_form) = -0.4126311780753394 y[1] (numeric) = -0.412631178076182 absolute error = 8.425482533880313e-13 relative error = 2.041891883492614e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100241638567685 y[1] (closed_form) = -0.4098170874594674 y[1] (numeric) = -0.4098170874603103 absolute error = 8.429368314466501e-13 relative error = 2.05686111497247e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6201164850433419 y[1] (closed_form) = -0.4069053846175829 y[1] (numeric) = -0.4069053846184265 absolute error = 8.436029652614252e-13 relative error = 2.073216519496931e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300109175791982 y[1] (closed_form) = -0.404010538114721 y[1] (numeric) = -0.4040105381155654 absolute error = 8.443801213786628e-13 relative error = 2.089995289031041e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6401032387657717 y[1] (closed_form) = -0.4010170499448229 y[1] (numeric) = -0.4010170499456679 absolute error = 8.449907440422066e-13 relative error = 2.107119246322498e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.649997671301628 y[1] (closed_form) = -0.3980426039217476 y[1] (numeric) = -0.3980426039225933 absolute error = 8.457679001594443e-13 relative error = 2.124817524120399e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600899924882014 y[1] (closed_form) = -0.3949685261937189 y[1] (numeric) = -0.3949685261945655 absolute error = 8.466560785791444e-13 relative error = 2.143603913806256e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6699844250240578 y[1] (closed_form) = -0.3919156688137939 y[1] (numeric) = -0.3919156688146411 absolute error = 8.47211190091457e-13 relative error = 2.161718087607214e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800767462106312 y[1] (closed_form) = -0.3887622294895832 y[1] (numeric) = -0.3887622294904311 absolute error = 8.479328350574633e-13 relative error = 2.181109096351099e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6901690673972046 y[1] (closed_form) = -0.385569193145216 y[1] (numeric) = -0.3855691931460646 absolute error = 8.485989688722384e-13 relative error = 2.200899304091011e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000634999330609 y[1] (closed_form) = -0.3824006389812427 y[1] (numeric) = -0.382400638982092 absolute error = 8.493206138382448e-13 relative error = 2.221022998551802e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7101558211196344 y[1] (closed_form) = -0.379130148658153 y[1] (numeric) = -0.379130148659003 absolute error = 8.499312365017886e-13 relative error = 2.241792797301748e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200502536554907 y[1] (closed_form) = -0.3758862958507257 y[1] (numeric) = -0.3758862958515767 absolute error = 8.509859483751825e-13 relative error = 2.263945128537304e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7301425748420641 y[1] (closed_form) = -0.3725396579692531 y[1] (numeric) = -0.3725396579701051 absolute error = 8.519296379461139e-13 relative error = 2.286815966359282e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400370073779204 y[1] (closed_form) = -0.3692218022981688 y[1] (numeric) = -0.3692218022990214 absolute error = 8.52595771760889e-13 relative error = 2.309169627725198e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7501293285644939 y[1] (closed_form) = -0.3658003536963301 y[1] (numeric) = -0.3658003536971834 absolute error = 8.533174167268953e-13 relative error = 2.332740819149887e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600237611003502 y[1] (closed_form) = -0.3624098205023493 y[1] (numeric) = -0.3624098205032034 absolute error = 8.540945728441329e-13 relative error = 2.356709240550496e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7701160822869236 y[1] (closed_form) = -0.3589149279018294 y[1] (numeric) = -0.3589149279026843 absolute error = 8.549272401126018e-13 relative error = 2.381977381410121e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800105148227799 y[1] (closed_form) = -0.35545307155726 y[1] (numeric) = -0.3554530715581156 absolute error = 8.556488850786081e-13 relative error = 2.407206333398561e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7901028360093534 y[1] (closed_form) = -0.351886131017465 y[1] (numeric) = -0.3518861310183213 absolute error = 8.563150188933832e-13 relative error = 2.433500338354859e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7999972685452097 y[1] (closed_form) = -0.3483543343851486 y[1] (numeric) = -0.3483543343860057 absolute error = 8.570921750106208e-13 relative error = 2.460403360628204e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4998 Order of pole (three term test) = 32.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100895897317831 y[1] (closed_form) = -0.3447167707455402 y[1] (numeric) = -0.3447167707463981 absolute error = 8.578693311278585e-13 relative error = 2.488620815495839e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8199840222676394 y[1] (closed_form) = -0.3411164446264578 y[1] (numeric) = -0.3411164446273166 absolute error = 8.587575095475586e-13 relative error = 2.517490795519834e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300763434542129 y[1] (closed_form) = -0.3374097109373911 y[1] (numeric) = -0.3374097109382506 absolute error = 8.594236433623337e-13 relative error = 2.547121838831147e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8401686646407863 y[1] (closed_form) = -0.3336686106918241 y[1] (numeric) = -0.3336686106926842 absolute error = 8.600342660258775e-13 relative error = 2.577510255587704e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500630971766426 y[1] (closed_form) = -0.3299678704494011 y[1] (numeric) = -0.3299678704502619 absolute error = 8.608669332943464e-13 relative error = 2.608941689146538e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8601554183632161 y[1] (closed_form) = -0.3261598388170275 y[1] (numeric) = -0.3261598388178891 absolute error = 8.615885782603527e-13 relative error = 2.641614557406301e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700498508990724 y[1] (closed_form) = -0.322394221977043 y[1] (numeric) = -0.3223942219779055 absolute error = 8.624212455288216e-13 relative error = 2.675051805333635e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8801421720856458 y[1] (closed_form) = -0.3185207801028556 y[1] (numeric) = -0.3185207801037191 absolute error = 8.63586979704678e-13 relative error = 2.711242197214925e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900366046215021 y[1] (closed_form) = -0.3146917908674155 y[1] (numeric) = -0.3146917908682797 absolute error = 8.641976023682219e-13 relative error = 2.746171420570426e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9001289258080756 y[1] (closed_form) = -0.3107544860249875 y[1] (numeric) = -0.3107544860258526 absolute error = 8.651412919391532e-13 relative error = 2.784002583536599e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100233583439319 y[1] (closed_form) = -0.3068636539107462 y[1] (numeric) = -0.3068636539116122 absolute error = 8.659739592076221e-13 relative error = 2.82201540707554e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9201156795305053 y[1] (closed_form) = -0.3028640588841625 y[1] (numeric) = -0.3028640588850293 absolute error = 8.66806626476091e-13 relative error = 2.862031994386041e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300101120663616 y[1] (closed_form) = -0.2989129381113469 y[1] (numeric) = -0.2989129381122146 absolute error = 8.676392937445598e-13 relative error = 2.902648842257068e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9401024332529351 y[1] (closed_form) = -0.2948526505669439 y[1] (numeric) = -0.2948526505678127 absolute error = 8.68749516769185e-13 relative error = 2.946385304994714e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9499968657887914 y[1] (closed_form) = -0.2908428194385094 y[1] (numeric) = -0.2908428194393791 absolute error = 8.696932063401164e-13 relative error = 2.990251600569388e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600891869753648 y[1] (closed_form) = -0.2867234612866763 y[1] (numeric) = -0.2867234612875469 absolute error = 8.705813847598165e-13 relative error = 3.036310251184427e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9699836195112211 y[1] (closed_form) = -0.2826565215578421 y[1] (numeric) = -0.2826565215587135 absolute error = 8.714140520282854e-13 relative error = 3.082943380274923e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800759406977946 y[1] (closed_form) = -0.2784797383051373 y[1] (numeric) = -0.2784797383060096 absolute error = 8.723022304479855e-13 relative error = 3.132372343341482e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.990168261884368 y[1] (closed_form) = -0.2742745907542204 y[1] (numeric) = -0.2742745907550935 absolute error = 8.730793865652231e-13 relative error = 3.183231024661691e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000062694420224 y[1] (closed_form) = -0.2701247746353964 y[1] (numeric) = -0.2701247746362702 absolute error = 8.738010315312295e-13 relative error = 3.23480522181148e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.010155015606792 y[1] (closed_form) = -0.2658647214161867 y[1] (numeric) = -0.2658647214170592 absolute error = 8.725242750529105e-13 relative error = 3.281835477852115e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.020049448142643 y[1] (closed_form) = -0.2616619077264022 y[1] (numeric) = -0.2616619077272731 absolute error = 8.70914451667204e-13 relative error = 3.328396017726225e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.030141769329211 y[1] (closed_form) = -0.2573486505470891 y[1] (numeric) = -0.2573486505479586 absolute error = 8.695266728864226e-13 relative error = 3.378788546347239e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.040036201865061 y[1] (closed_form) = -0.2530945181298012 y[1] (numeric) = -0.2530945181306694 absolute error = 8.681944052568724e-13 relative error = 3.430316909557137e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.050128523051629 y[1] (closed_form) = -0.2487297799512719 y[1] (numeric) = -0.2487297799521386 absolute error = 8.666400930223972e-13 relative error = 3.484263497487831e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.06002295558748 y[1] (closed_form) = -0.2444260281495665 y[1] (numeric) = -0.2444260281504317 absolute error = 8.651690475147689e-13 relative error = 3.539594592542182e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.070115276774048 y[1] (closed_form) = -0.2400115524971553 y[1] (numeric) = -0.2400115524980188 absolute error = 8.635037129778311e-13 relative error = 3.597758957823772e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080009709309898 y[1] (closed_form) = -0.2356599004749298 y[1] (numeric) = -0.2356599004757918 absolute error = 8.620326674702028e-13 relative error = 3.657952268217598e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.090102030496466 y[1] (closed_form) = -0.2311974507419543 y[1] (numeric) = -0.2311974507428148 absolute error = 8.604505996601119e-13 relative error = 3.721713180222234e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.099996463032317 y[1] (closed_form) = -0.2267996367971858 y[1] (numeric) = -0.2267996367980447 absolute error = 8.589240430012524e-13 relative error = 3.787149111571726e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110088784218885 y[1] (closed_form) = -0.2222909955405472 y[1] (numeric) = -0.2222909955414046 absolute error = 8.573419751911615e-13 relative error = 3.856845272145885e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3982 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.119983216754735 y[1] (closed_form) = -0.2178487764109172 y[1] (numeric) = -0.2178487764117729 absolute error = 8.557876629566863e-13 relative error = 3.928356528119567e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.130075537941303 y[1] (closed_form) = -0.2132957446390454 y[1] (numeric) = -0.2132957446398997 absolute error = 8.543443730246736e-13 relative error = 4.005444995963035e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.140167859127871 y[1] (closed_form) = -0.2087209878248236 y[1] (numeric) = -0.2087209878256763 absolute error = 8.527345496389671e-13 relative error = 4.085523734463419e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150062291663722 y[1] (closed_form) = -0.2042152912536265 y[1] (numeric) = -0.2042152912544778 absolute error = 8.512357485557231e-13 relative error = 4.168325218597491e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.16015461285029 y[1] (closed_form) = -0.199598887545952 y[1] (numeric) = -0.1995988875468016 absolute error = 8.496259251700167e-13 relative error = 4.256666635851937e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.17004904538614 y[1] (closed_form) = -0.1950532626351991 y[1] (numeric) = -0.1950532626360472 absolute error = 8.480993685111571e-13 relative error = 4.348039899734083e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.180141366572708 y[1] (closed_form) = -0.1903970560889701 y[1] (numeric) = -0.1903970560898165 absolute error = 8.464340339742193e-13 relative error = 4.445625638133247e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.190035799108559 y[1] (closed_form) = -0.1858133186204718 y[1] (numeric) = -0.1858133186213167 absolute error = 8.449074773153598e-13 relative error = 4.547077053400589e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200128120295127 y[1] (closed_form) = -0.1811191691901099 y[1] (numeric) = -0.1811191691909532 absolute error = 8.433809206565002e-13 relative error = 4.656497290859666e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.210022552830977 y[1] (closed_form) = -0.1764991501700056 y[1] (numeric) = -0.1764991501708474 absolute error = 8.417433416951781e-13 relative error = 4.769107051701966e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.220114874017545 y[1] (closed_form) = -0.1717689329664842 y[1] (numeric) = -0.1717689329673243 absolute error = 8.401612738850872e-13 relative error = 4.891229510338873e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.230009306553396 y[1] (closed_form) = -0.167114477893834 y[1] (numeric) = -0.1671144778946726 absolute error = 8.385792060749964e-13 relative error = 5.017992556023402e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.240101627739964 y[1] (closed_form) = -0.1623500824356519 y[1] (numeric) = -0.1623500824364888 absolute error = 8.369693826892899e-13 relative error = 5.155336973857259e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.249996060275814 y[1] (closed_form) = -0.157663050565239 y[1] (numeric) = -0.1576630505660744 absolute error = 8.353595593035834e-13 relative error = 5.298385108677837e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2992 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.260088381462382 y[1] (closed_form) = -0.152866380023639 y[1] (numeric) = -0.1528663800244727 absolute error = 8.337219803422613e-13 relative error = 5.453926365060362e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.269982813998233 y[1] (closed_form) = -0.1481486436232776 y[1] (numeric) = -0.1481486436241098 absolute error = 8.321954236834017e-13 relative error = 5.617300323042881e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.280075135184801 y[1] (closed_form) = -0.1433216140620111 y[1] (numeric) = -0.1433216140628416 absolute error = 8.30530089146464e-13 relative error = 5.794869773006587e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.290167456371369 y[1] (closed_form) = -0.1384799866092563 y[1] (numeric) = -0.1384799866100852 absolute error = 8.288647546095262e-13 relative error = 5.985447969086698e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.300061888907219 y[1] (closed_form) = -0.1337195972745979 y[1] (numeric) = -0.1337195972754252 absolute error = 8.272271756482041e-13 relative error = 6.18628228403548e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.310154210093787 y[1] (closed_form) = -0.1288505169976612 y[1] (numeric) = -0.1288505169984867 absolute error = 8.254785743844195e-13 relative error = 6.406482438866762e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320048642629638 y[1] (closed_form) = -0.1240641652544736 y[1] (numeric) = -0.1240641652552974 absolute error = 8.237577286962505e-13 relative error = 6.639771661757476e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330140963816206 y[1] (closed_form) = -0.1191695771416841 y[1] (numeric) = -0.1191695771425062 absolute error = 8.220923941593128e-13 relative error = 6.898508947312144e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.340035396352056 y[1] (closed_form) = -0.1143591749318025 y[1] (numeric) = -0.1143591749326229 absolute error = 8.203993040467594e-13 relative error = 7.173882677415261e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350127717538624 y[1] (closed_form) = -0.1094410341607737 y[1] (numeric) = -0.1094410341615924 absolute error = 8.187617250854373e-13 relative error = 7.4813047168637e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360022150074475 y[1] (closed_form) = -0.1046085030331609 y[1] (numeric) = -0.104608503033978 absolute error = 8.171102683363074e-13 relative error = 7.811126673682378e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370114471261043 y[1] (closed_form) = -0.09966877418978107 y[1] (numeric) = -0.09966877419059643 absolute error = 8.153616670725228e-13 relative error = 8.180713304650244e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.380008903796893 y[1] (closed_form) = -0.09481604453295189 y[1] (numeric) = -0.09481604453376558 absolute error = 8.136824547477772e-13 relative error = 8.581695838039248e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.390101224983461 y[1] (closed_form) = -0.08985670082661644 y[1] (numeric) = -0.08985670082742839 absolute error = 8.119477312718004e-13 relative error = 9.036028741345615e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.399995657519312 y[1] (closed_form) = -0.08498571109752993 y[1] (numeric) = -0.0849857110983402 absolute error = 8.102685189470549e-13 relative error = 9.534173550859479e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.41008797870588 y[1] (closed_form) = -0.08000873357292916 y[1] (numeric) = -0.08000873357373772 absolute error = 8.085615510466937e-13 relative error = 1.01059161286396e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.419982411241731 y[1] (closed_form) = -0.07512142952265859 y[1] (numeric) = -0.07512142952346545 absolute error = 8.068684609341403e-13 relative error = 1.074085605214378e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.430074732428298 y[1] (closed_form) = -0.0701288062684354 y[1] (numeric) = -0.07012880626924049 absolute error = 8.050921040947401e-13 relative error = 1.148019119294645e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.440167053614866 y[1] (closed_form) = -0.06512904010899996 y[1] (numeric) = -0.06512904010980335 absolute error = 8.033851361943789e-13 relative error = 1.233528292217778e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.450061486150717 y[1] (closed_form) = -0.06022086551951818 y[1] (numeric) = -0.06022086552031985 absolute error = 8.016712294001138e-13 relative error = 1.331218378354732e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.460153807337285 y[1] (closed_form) = -0.05520845713311331 y[1] (numeric) = -0.05520845713391324 absolute error = 7.999295670302331e-13 relative error = 1.448925777986369e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.470048239873135 y[1] (closed_form) = -0.05028886912272771 y[1] (numeric) = -0.05028886912352597 absolute error = 7.982642324932954e-13 relative error = 1.587357692504812e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.480140561059703 y[1] (closed_form) = -0.04526582075110301 y[1] (numeric) = -0.04526582075189955 absolute error = 7.965364479112225e-13 relative error = 1.759686303471727e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09016 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.490034993595554 y[1] (closed_form) = -0.04033678448381179 y[1] (numeric) = -0.04033678448460665 absolute error = 7.948641744803808e-13 relative error = 1.97056900953367e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.500127314782122 y[1] (closed_form) = -0.03530510261893374 y[1] (numeric) = -0.03530510261972688 absolute error = 7.931433287922118e-13 relative error = 2.24654021644695e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.510021747317972 y[1] (closed_form) = -0.0303685870329077 y[1] (numeric) = -0.03036858703369912 absolute error = 7.914259525509948e-13 relative error = 2.606067749195568e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.52011406850454 y[1] (closed_form) = -0.02533028161545228 y[1] (numeric) = -0.02533028161624197 absolute error = 7.896946985219699e-13 relative error = 3.117591468229991e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.530008501040391 y[1] (closed_form) = -0.02038825863652865 y[1] (numeric) = -0.02038825863731664 absolute error = 7.879842611746568e-13 relative error = 3.864892412944299e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.540100822226959 y[1] (closed_form) = -0.01534534225299649 y[1] (numeric) = -0.01534534225378273 absolute error = 7.862408640813001e-13 relative error = 5.123645019567881e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.54999525476281 y[1] (closed_form) = -0.0103997860069793 y[1] (numeric) = -0.01039978600776384 absolute error = 7.845391003513669e-13 relative error = 7.543800418824605e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.560087575949377 y[1] (closed_form) = -0.005354273085753804 y[1] (numeric) = -0.0053542730865366 absolute error = 7.827965706197482e-13 relative error = 1.462003446747135e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.569982008485228 y[1] (closed_form) = -0.0004071591098354353 y[1] (numeric) = -0.0004071591106165255 absolute error = 7.810901990305819e-13 relative error = 1.918390575483578e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.580074329671796 y[1] (closed_form) = 0.004638934883494744 y[1] (numeric) = 0.004638934882715394 absolute error = 7.793505424347202e-13 relative error = 1.680020440053248e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590166650858364 y[1] (closed_form) = 0.009684556382369052 y[1] (numeric) = 0.009684556381591439 absolute error = 7.776123495117915e-13 relative error = 8.02940598216199e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600061083394214 y[1] (closed_form) = 0.01463028979760864 y[1] (numeric) = 0.01463028979683274 absolute error = 7.759001774410024e-13 relative error = 5.303382148778936e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610153404580782 y[1] (closed_form) = 0.01967345901059894 y[1] (numeric) = 0.01967345900982478 absolute error = 7.741654539650256e-13 relative error = 3.935075441222355e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03932 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620047837116633 y[1] (closed_form) = 0.02461580053966325 y[1] (numeric) = 0.02461580053889079 absolute error = 7.724619555116163e-13 relative error = 3.138073670474191e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630140158303201 y[1] (closed_form) = 0.02965450293739164 y[1] (numeric) = 0.0296545029366209 absolute error = 7.707376403764954e-13 relative error = 2.599057694555606e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640034590839051 y[1] (closed_form) = 0.03459147832722956 y[1] (numeric) = 0.03459147832646051 absolute error = 7.690514891578459e-13 relative error = 2.223239729400254e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650126912025619 y[1] (closed_form) = 0.03962370116461884 y[1] (numeric) = 0.03962370116385151 absolute error = 7.67323704575773e-13 relative error = 1.936527083595459e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.66002134456147 y[1] (closed_form) = 0.04455333830572128 y[1] (numeric) = 0.04455333830495567 absolute error = 7.65609797781508e-13 relative error = 1.718411743981916e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670113665748038 y[1] (closed_form) = 0.04957707142600019 y[1] (numeric) = 0.0495770714252363 absolute error = 7.638820131994351e-13 relative error = 1.540796967686205e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680008098283889 y[1] (closed_form) = 0.05449740114017308 y[1] (numeric) = 0.05449740113941091 absolute error = 7.6216810640517e-13 relative error = 1.398540279828744e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690100419470456 y[1] (closed_form) = 0.05951063777784749 y[1] (numeric) = 0.05951063777708703 absolute error = 7.604611385048088e-13 relative error = 1.277857483805839e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.699994852006307 y[1] (closed_form) = 0.06441969460481384 y[1] (numeric) = 0.06441969460405507 absolute error = 7.587680483922554e-13 relative error = 1.177851048575998e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710087173192875 y[1] (closed_form) = 0.06942043218728337 y[1] (numeric) = 0.06942043218652634 absolute error = 7.570333249162786e-13 relative error = 1.090505058905344e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.719981605728726 y[1] (closed_form) = 0.0743162551698002 y[1] (numeric) = 0.07431625516904483 absolute error = 7.553679903793409e-13 relative error = 1.01642364601587e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730073926915293 y[1] (closed_form) = 0.07930249611729989 y[1] (numeric) = 0.07930249611654623 absolute error = 7.536610224789797e-13 relative error = 9.503622954871507e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740166248101861 y[1] (closed_form) = 0.08428065978182553 y[1] (numeric) = 0.08428065978107362 absolute error = 7.519124212151951e-13 relative error = 8.921529840436052e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750060680637712 y[1] (closed_form) = 0.08915288210802394 y[1] (numeric) = 0.08915288210727372 absolute error = 7.502193311026417e-13 relative error = 8.414975639190474e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.76015300182428 y[1] (closed_form) = 0.0941135540465711 y[1] (numeric) = 0.09411355404582263 absolute error = 7.484707298388571e-13 relative error = 7.952847359993272e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.77004743436013 y[1] (closed_form) = 0.09896765535355787 y[1] (numeric) = 0.09896765535281106 absolute error = 7.468053953019194e-13 relative error = 7.545954207301243e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780139755546698 y[1] (closed_form) = 0.1039088539908646 y[1] (numeric) = 0.1039088539901194 absolute error = 7.451955719162129e-13 relative error = 7.171627280017243e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790034188082549 y[1] (closed_form) = 0.1087428952737653 y[1] (numeric) = 0.1087428952730218 absolute error = 7.43544115167083e-13 relative error = 6.837633974110915e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800126509269117 y[1] (closed_form) = 0.1136626468133166 y[1] (numeric) = 0.1136626468125747 absolute error = 7.418649028423374e-13 relative error = 6.52690152518445e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810020941804968 y[1] (closed_form) = 0.1184746970803745 y[1] (numeric) = 0.1184746970796342 absolute error = 7.402412016688231e-13 relative error = 6.248095330994058e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820113262991535 y[1] (closed_form) = 0.1233710362928493 y[1] (numeric) = 0.1233710362921107 absolute error = 7.385342337684619e-13 relative error = 5.986285403450634e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830007695527386 y[1] (closed_form) = 0.1281591733367733 y[1] (numeric) = 0.1281591733360364 absolute error = 7.369382881705633e-13 relative error = 5.750179788020762e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840100016713954 y[1] (closed_form) = 0.1330301443450691 y[1] (numeric) = 0.1330301443443338 absolute error = 7.352729536336255e-13 relative error = 5.527115356098457e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.849994449249805 y[1] (closed_form) = 0.1377924555108733 y[1] (numeric) = 0.1377924555101396 absolute error = 7.336353746723034e-13 relative error = 5.324205682758966e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860086770436372 y[1] (closed_form) = 0.1426361125713949 y[1] (numeric) = 0.1426361125706629 absolute error = 7.32025551286597e-13 relative error = 5.132119335628905e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.869981202972223 y[1] (closed_form) = 0.1473706955204218 y[1] (numeric) = 0.1473706955196913 absolute error = 7.304157279008905e-13 relative error = 4.956315944099441e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880073524158791 y[1] (closed_form) = 0.1521851038003225 y[1] (numeric) = 0.1521851037995939 absolute error = 7.286116154858746e-13 relative error = 4.787667105986036e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2899 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890165845345359 y[1] (closed_form) = 0.1569840114061208 y[1] (numeric) = 0.1569840114053939 absolute error = 7.269185253733212e-13 relative error = 4.630525866056311e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900060277881209 y[1] (closed_form) = 0.1616733036202096 y[1] (numeric) = 0.1616733036194844 absolute error = 7.251976796851523e-13 relative error = 4.485574695675983e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910152599067777 y[1] (closed_form) = 0.1664400728842849 y[1] (numeric) = 0.1664400728835612 absolute error = 7.236711230262927e-13 relative error = 4.347938032503837e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920047031603628 y[1] (closed_form) = 0.1710969219029692 y[1] (numeric) = 0.1710969219022472 absolute error = 7.220612996405862e-13 relative error = 4.220188718824961e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.930139352790196 y[1] (closed_form) = 0.1758296487058454 y[1] (numeric) = 0.1758296487051249 absolute error = 7.204237206792641e-13 relative error = 4.09728237519543e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.940033785326047 y[1] (closed_form) = 0.1804521943180635 y[1] (numeric) = 0.1804521943173446 absolute error = 7.188694084447889e-13 relative error = 3.983711094018152e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950126106512614 y[1] (closed_form) = 0.1851489881387646 y[1] (numeric) = 0.1851489881380473 absolute error = 7.172595850590824e-13 relative error = 3.87395897903322e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960020539048465 y[1] (closed_form) = 0.1897353838361914 y[1] (numeric) = 0.1897353838354757 absolute error = 7.156497616733759e-13 relative error = 3.771830784558532e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970112860235033 y[1] (closed_form) = 0.1943943685074238 y[1] (numeric) = 0.1943943685067098 absolute error = 7.139566715608225e-13 relative error = 3.672723016837585e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980007292770884 y[1] (closed_form) = 0.1989427822220716 y[1] (numeric) = 0.1989427822213592 absolute error = 7.12430114901963e-13 relative error = 3.581080484270631e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990099613957451 y[1] (closed_form) = 0.203562096679672 y[1] (numeric) = 0.2035620966789611 absolute error = 7.10931313818719e-13 relative error = 3.492454270293009e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.999994046493302 y[1] (closed_form) = 0.2080707115157232 y[1] (numeric) = 0.2080707115150138 absolute error = 7.094047571598594e-13 relative error = 3.409440723262255e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.01008636767987 y[1] (closed_form) = 0.212648510542074 y[1] (numeric) = 0.2126485105413662 absolute error = 7.077949337741529e-13 relative error = 3.328473507620034e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.019980800215721 y[1] (closed_form) = 0.2171155255016526 y[1] (numeric) = 0.2171155255009463 absolute error = 7.062406215396777e-13 relative error = 3.252833347167991e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.030073121402288 y[1] (closed_form) = 0.2216499804627668 y[1] (numeric) = 0.2216499804620621 absolute error = 7.047695760320494e-13 relative error = 3.179650972946681e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.040165442588856 y[1] (closed_form) = 0.2261618594685071 y[1] (numeric) = 0.2261618594678039 absolute error = 7.031319970707273e-13 relative error = 3.108976901424168e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4034 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.050059875124707 y[1] (closed_form) = 0.2305629107413418 y[1] (numeric) = 0.2305629107406402 absolute error = 7.01577684836252e-13 relative error = 3.042890474363072e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.060152196311275 y[1] (closed_form) = 0.2350287265436149 y[1] (numeric) = 0.2350287265429148 absolute error = 7.001066393286237e-13 relative error = 2.978813056703956e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.070046628847126 y[1] (closed_form) = 0.2393837410451725 y[1] (numeric) = 0.2393837410444739 absolute error = 6.986355938209954e-13 relative error = 2.918475543788751e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.080138950033693 y[1] (closed_form) = 0.2438017097424773 y[1] (numeric) = 0.2438017097417801 absolute error = 6.97164548313367e-13 relative error = 2.859555616118393e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.090033382569544 y[1] (closed_form) = 0.2481089478316146 y[1] (numeric) = 0.2481089478309189 absolute error = 6.956657472301231e-13 relative error = 2.803872062293595e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.100125703756112 y[1] (closed_form) = 0.252477304635312 y[1] (numeric) = 0.2524773046346178 absolute error = 6.942779684493416e-13 relative error = 2.749862881545664e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.110020136291963 y[1] (closed_form) = 0.2567350457555097 y[1] (numeric) = 0.2567350457548168 absolute error = 6.928901896685602e-13 relative error = 2.698853160578644e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.12011245747853 y[1] (closed_form) = 0.2610520456947804 y[1] (numeric) = 0.2610520456940891 absolute error = 6.912803662828537e-13 relative error = 2.648055733265896e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.130006890014381 y[1] (closed_form) = 0.2652585890614308 y[1] (numeric) = 0.2652585890607411 absolute error = 6.897260540483785e-13 relative error = 2.600202528743173e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.140099211200949 y[1] (closed_form) = 0.2695225076803155 y[1] (numeric) = 0.2695225076796274 absolute error = 6.88116230662672e-13 relative error = 2.553093753041421e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.1499936437368 y[1] (closed_form) = 0.2736761729601138 y[1] (numeric) = 0.2736761729594269 absolute error = 6.868949853355844e-13 relative error = 2.509882310564515e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.160085964923367 y[1] (closed_form) = 0.2778853070063599 y[1] (numeric) = 0.2778853070056747 absolute error = 6.852851619498779e-13 relative error = 2.466071953686251e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.169980397459218 y[1] (closed_form) = 0.2819844349885243 y[1] (numeric) = 0.2819844349878404 absolute error = 6.838973831690964e-13 relative error = 2.425301890144853e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4657 Order of pole (three term test) = 32.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.180072718645786 y[1] (closed_form) = 0.2861371030939616 y[1] (numeric) = 0.2861371030932792 absolute error = 6.823430709346212e-13 relative error = 2.384671765935066e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.190165039832354 y[1] (closed_form) = 0.2902606269673227 y[1] (numeric) = 0.2902606269666418 absolute error = 6.808997810026085e-13 relative error = 2.345822056944924e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.200059472368205 y[1] (closed_form) = 0.2942745997051921 y[1] (numeric) = 0.2942745997045126 absolute error = 6.795120022218271e-13 relative error = 2.30910857716762e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.210151793554772 y[1] (closed_form) = 0.2983391699880406 y[1] (numeric) = 0.2983391699873624 absolute error = 6.781797345922769e-13 relative error = 2.273183687611193e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.220046226090623 y[1] (closed_form) = 0.302294546259852 y[1] (numeric) = 0.302294546259175 absolute error = 6.770140004164205e-13 relative error = 2.239583905144157e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.230138547277191 y[1] (closed_form) = 0.3062985393310288 y[1] (numeric) = 0.3062985393303529 absolute error = 6.759037773917953e-13 relative error = 2.206682992573202e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.240032979813042 y[1] (closed_form) = 0.310193739133938 y[1] (numeric) = 0.3101937391332633 absolute error = 6.746825320647076e-13 relative error = 2.175035943499129e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.250125300999609 y[1] (closed_form) = 0.3141355555702767 y[1] (numeric) = 0.3141355555696036 absolute error = 6.731282198302324e-13 relative error = 2.142795388469306e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.26001973353546 y[1] (closed_form) = 0.3179690229393529 y[1] (numeric) = 0.3179690229386813 absolute error = 6.716294187469884e-13 relative error = 2.112247955912014e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.270112054722028 y[1] (closed_form) = 0.3218470881545809 y[1] (numeric) = 0.3218470881539106 absolute error = 6.702971511174383e-13 relative error = 2.082657186556553e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.280006487257879 y[1] (closed_form) = 0.3256172917843477 y[1] (numeric) = 0.3256172917836789 absolute error = 6.688538611854256e-13 relative error = 2.054110386829208e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.290098808444446 y[1] (closed_form) = 0.3294300566580656 y[1] (numeric) = 0.329430056657398 absolute error = 6.675771047071066e-13 relative error = 2.02646082594711e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299993240980297 y[1] (closed_form) = 0.3331354905141917 y[1] (numeric) = 0.3331354905135252 absolute error = 6.665223928337127e-13 relative error = 2.000754683342028e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4968 Order of pole (three term test) = 32.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.310085562166865 y[1] (closed_form) = 0.3368814320106803 y[1] (numeric) = 0.3368814320100149 absolute error = 6.653566586578563e-13 relative error = 1.975046991122866e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.320177883353433 y[1] (closed_form) = 0.3405930607580339 y[1] (numeric) = 0.3405930607573697 absolute error = 6.641354133307686e-13 relative error = 1.949938180926674e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.330072315889284 y[1] (closed_form) = 0.3441982377081834 y[1] (numeric) = 0.3441982377075206 absolute error = 6.628586568524497e-13 relative error = 1.925804911919484e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.340164637075851 y[1] (closed_form) = 0.3478408014891257 y[1] (numeric) = 0.347840801488464 absolute error = 6.616929226765933e-13 relative error = 1.902286677824595e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.350059069611702 y[1] (closed_form) = 0.3513775510011276 y[1] (numeric) = 0.3513775510004672 absolute error = 6.603606550470431e-13 relative error = 1.879347878558479e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.36015139079827 y[1] (closed_form) = 0.3549495947679618 y[1] (numeric) = 0.3549495947673024 absolute error = 6.593614543248805e-13 relative error = 1.857619966451629e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.370045823334121 y[1] (closed_form) = 0.3584165040623726 y[1] (numeric) = 0.3584165040617147 absolute error = 6.57973675544099e-13 relative error = 1.835779513740239e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.380138144520688 y[1] (closed_form) = 0.3619166009371171 y[1] (numeric) = 0.3619166009364604 absolute error = 6.566969190657801e-13 relative error = 1.814497918485593e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.390032577056539 y[1] (closed_form) = 0.365312285132659 y[1] (numeric) = 0.3653122851320036 absolute error = 6.554201625874612e-13 relative error = 1.794136658583636e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.400124898243107 y[1] (closed_form) = 0.3687390369770238 y[1] (numeric) = 0.3687390369763696 absolute error = 6.541434061091422e-13 relative error = 1.774000961416792e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.410019330778958 y[1] (closed_form) = 0.372062139643785 y[1] (numeric) = 0.3720621396431318 absolute error = 6.531442053869796e-13 relative error = 1.75547075553644e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.420111651965525 y[1] (closed_form) = 0.3754141776176678 y[1] (numeric) = 0.3754141776170157 absolute error = 6.520894935135857e-13 relative error = 1.736986859824169e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.430006084501376 y[1] (closed_form) = 0.3786633713189384 y[1] (numeric) = 0.3786633713182875 absolute error = 6.50868248186498e-13 relative error = 1.718857163077145e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.440098405687944 y[1] (closed_form) = 0.3819393564272175 y[1] (numeric) = 0.3819393564265679 absolute error = 6.496470028594103e-13 relative error = 1.700916629635698e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.449992838223795 y[1] (closed_form) = 0.3851133432497431 y[1] (numeric) = 0.3851133432490945 absolute error = 6.485367798347852e-13 relative error = 1.684015345617911e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.460085159410363 y[1] (closed_form) = 0.3883119668771483 y[1] (numeric) = 0.3883119668765009 absolute error = 6.473710456589288e-13 relative error = 1.667141630646011e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.47017748059693 y[1] (closed_form) = 0.3914710393454823 y[1] (numeric) = 0.3914710393448362 absolute error = 6.461498003318411e-13 relative error = 1.650568587173568e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.480071913132781 y[1] (closed_form) = 0.3945294633834387 y[1] (numeric) = 0.3945294633827935 absolute error = 6.452061107609097e-13 relative error = 1.635381310251704e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.490164234319349 y[1] (closed_form) = 0.3976092633808144 y[1] (numeric) = 0.3976092633801704 absolute error = 6.439848654338221e-13 relative error = 1.619642510232562e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.5000586668552 y[1] (closed_form) = 0.4005893623234223 y[1] (numeric) = 0.4005893623227794 absolute error = 6.429301535604282e-13 relative error = 1.604960625592818e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.510150988041767 y[1] (closed_form) = 0.4035886596020904 y[1] (numeric) = 0.4035886596014485 absolute error = 6.418754416870343e-13 relative error = 1.590419914969557e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.520045420577618 y[1] (closed_form) = 0.4064892430278876 y[1] (numeric) = 0.4064892430272468 absolute error = 6.408207298136404e-13 relative error = 1.576476477065535e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.530137741764186 y[1] (closed_form) = 0.4094068394974756 y[1] (numeric) = 0.4094068394968357 absolute error = 6.39877040242709e-13 relative error = 1.562936860136784e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.540032174300037 y[1] (closed_form) = 0.4122267487480317 y[1] (numeric) = 0.412226748747393 absolute error = 6.387113060668526e-13 relative error = 1.549417421374702e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.550124495486604 y[1] (closed_form) = 0.4150614789541293 y[1] (numeric) = 0.4150614789534917 absolute error = 6.376565941934587e-13 relative error = 1.536294323916119e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.560018928022455 y[1] (closed_form) = 0.4177995875968802 y[1] (numeric) = 0.4177995875962434 absolute error = 6.367684157737585e-13 relative error = 1.524100153943075e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.570111249209023 y[1] (closed_form) = 0.4205503191865884 y[1] (numeric) = 0.4205503191859525 absolute error = 6.359357485052897e-13 relative error = 1.512151387104618e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.580005681744874 y[1] (closed_form) = 0.4232055334647973 y[1] (numeric) = 0.4232055334641621 absolute error = 6.352141035392833e-13 relative error = 1.500958880047633e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4507 Order of pole (three term test) = 32.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.590098002931442 y[1] (closed_form) = 0.4258711676390547 y[1] (numeric) = 0.4258711676384203 absolute error = 6.344369474220457e-13 relative error = 1.48973914092198e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.599992435467292 y[1] (closed_form) = 0.4284424269087214 y[1] (numeric) = 0.428442426908088 absolute error = 6.333822355486518e-13 relative error = 1.478336868079576e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.61008475665386 y[1] (closed_form) = 0.4310218988612269 y[1] (numeric) = 0.4310218988605944 absolute error = 6.324940571289517e-13 relative error = 1.46742905360498e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.620177077840428 y[1] (closed_form) = 0.4335574694737296 y[1] (numeric) = 0.4335574694730978 absolute error = 6.318279233141766e-13 relative error = 1.457310663061845e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.630071510376279 y[1] (closed_form) = 0.4360004553573268 y[1] (numeric) = 0.4360004553566958 absolute error = 6.309952560457077e-13 relative error = 1.447235314303908e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.640163831562846 y[1] (closed_form) = 0.438448326273578 y[1] (numeric) = 0.4384483262729478 absolute error = 6.301625887772389e-13 relative error = 1.43725623070126e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.650058264098697 y[1] (closed_form) = 0.4408048484079802 y[1] (numeric) = 0.4408048484073508 absolute error = 6.2932992150877e-13 relative error = 1.427683755706569e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4161 Order of pole (three term test) = 32.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.660150585285265 y[1] (closed_form) = 0.4431640418087425 y[1] (numeric) = 0.443164041808114 absolute error = 6.284417430890699e-13 relative error = 1.418079274943269e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4104 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.670045017821116 y[1] (closed_form) = 0.4454331588646249 y[1] (numeric) = 0.4454331588639973 absolute error = 6.27609075820601e-13 relative error = 1.408985979895005e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.680137339007683 y[1] (closed_form) = 0.4477027323535175 y[1] (numeric) = 0.4477027323528907 absolute error = 6.268319197033634e-13 relative error = 1.400107424871378e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.690031771543534 y[1] (closed_form) = 0.4498835379161284 y[1] (numeric) = 0.4498835379155024 absolute error = 6.259992524348945e-13 relative error = 1.391469568623334e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.700124092730102 y[1] (closed_form) = 0.452062584896074 y[1] (numeric) = 0.4520625848954487 absolute error = 6.252776074688882e-13 relative error = 1.383166022493622e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.710018525265953 y[1] (closed_form) = 0.4541542078273079 y[1] (numeric) = 0.4541542078266833 absolute error = 6.245559625028818e-13 relative error = 1.37520681684484e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.720110846452521 y[1] (closed_form) = 0.4562418578626792 y[1] (numeric) = 0.4562418578620553 absolute error = 6.238898286881067e-13 relative error = 1.367454164794951e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.730005278988371 y[1] (closed_form) = 0.4582434626490595 y[1] (numeric) = 0.4582434626484363 absolute error = 6.232236948733316e-13 relative error = 1.360027465030353e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.740097600174939 y[1] (closed_form) = 0.4602388818133812 y[1] (numeric) = 0.4602388818127585 absolute error = 6.22668583361019e-13 relative error = 1.352924770083854e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.74999203271079 y[1] (closed_form) = 0.4621496688998117 y[1] (numeric) = 0.4621496688991897 absolute error = 6.22002449546244e-13 relative error = 1.345889635768811e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.760084353897358 y[1] (closed_form) = 0.4640520601088777 y[1] (numeric) = 0.4640520601082562 absolute error = 6.214473380339314e-13 relative error = 1.339175906013918e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.770176675083925 y[1] (closed_form) = 0.4659071857211755 y[1] (numeric) = 0.4659071857205548 absolute error = 6.206701819166938e-13 relative error = 1.332175594063786e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.780071107619776 y[1] (closed_form) = 0.4676798695483053 y[1] (numeric) = 0.4676798695476851 absolute error = 6.201150704043812e-13 relative error = 1.32593919640651e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.790163428806344 y[1] (closed_form) = 0.4694408377746102 y[1] (numeric) = 0.4694408377739906 absolute error = 6.196154700432999e-13 relative error = 1.319901082702123e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.800057861342195 y[1] (closed_form) = 0.4711208609776926 y[1] (numeric) = 0.4711208609770736 absolute error = 6.19004847379756e-13 relative error = 1.313898191846499e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.810150182528762 y[1] (closed_form) = 0.4727869683868732 y[1] (numeric) = 0.4727869683862548 absolute error = 6.184497358674435e-13 relative error = 1.308093871490504e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.820044615064613 y[1] (closed_form) = 0.4743736598688351 y[1] (numeric) = 0.4743736598682173 absolute error = 6.177280909014371e-13 relative error = 1.302197282775438e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.830136936251181 y[1] (closed_form) = 0.47594424092258 y[1] (numeric) = 0.4759442409219627 absolute error = 6.17284001691587e-13 relative error = 1.296967057517139e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.840031368787032 y[1] (closed_form) = 0.4774369668683599 y[1] (numeric) = 0.4774369668677432 absolute error = 6.166733790280432e-13 relative error = 1.291633077918061e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.8501236899736 y[1] (closed_form) = 0.4789113941870314 y[1] (numeric) = 0.4789113941864153 absolute error = 6.161182675157306e-13 relative error = 1.286497408485368e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.86001812250945 y[1] (closed_form) = 0.4803095583167619 y[1] (numeric) = 0.480309558316146 absolute error = 6.158407117595743e-13 relative error = 1.28217459156503e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.870110443696018 y[1] (closed_form) = 0.4816872429300075 y[1] (numeric) = 0.4816872429293922 absolute error = 6.152856002472618e-13 relative error = 1.277354983504654e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2583 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.880004876231869 y[1] (closed_form) = 0.4829902867372026 y[1] (numeric) = 0.4829902867365879 absolute error = 6.146749775837179e-13 relative error = 1.272644594441225e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.890097197418437 y[1] (closed_form) = 0.4842706783192233 y[1] (numeric) = 0.484270678318609 absolute error = 6.142863995250991e-13 relative error = 1.268477376448077e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899991629954287 y[1] (closed_form) = 0.4854780812938784 y[1] (numeric) = 0.4854780812932645 absolute error = 6.138978214664803e-13 relative error = 1.264522220715593e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.910083951140855 y[1] (closed_form) = 0.4866606683832601 y[1] (numeric) = 0.4866606683826465 absolute error = 6.135647545590928e-13 relative error = 1.260765034900852e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.920176272327423 y[1] (closed_form) = 0.4877936870968236 y[1] (numeric) = 0.4877936870962105 absolute error = 6.130651541980114e-13 relative error = 1.256812399206639e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.930070704863274 y[1] (closed_form) = 0.4888562584237936 y[1] (numeric) = 0.488856258423181 absolute error = 6.126210649881614e-13 relative error = 1.253172183912341e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.940163026049841 y[1] (closed_form) = 0.4898907766221868 y[1] (numeric) = 0.4898907766215744 absolute error = 6.123990203832363e-13 relative error = 1.250072566390712e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.950057458585692 y[1] (closed_form) = 0.4908565713969548 y[1] (numeric) = 0.4908565713963427 absolute error = 6.121214646270801e-13 relative error = 1.24704750898009e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.96014977977226 y[1] (closed_form) = 0.4917921758346144 y[1] (numeric) = 0.4917921758340026 absolute error = 6.117883977196925e-13 relative error = 1.243997826279839e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.970044212308111 y[1] (closed_form) = 0.4926608082636714 y[1] (numeric) = 0.4926608082630599 absolute error = 6.11455330812305e-13 relative error = 1.241128420519813e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.980136533494679 y[1] (closed_form) = 0.4934971252068308 y[1] (numeric) = 0.4934971252062196 absolute error = 6.111222639049174e-13 relative error = 1.238350200416646e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.990030966030529 y[1] (closed_form) = 0.4942682483088495 y[1] (numeric) = 0.4942682483082387 absolute error = 6.107891969975299e-13 relative error = 1.23574435357189e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.000123287217097 y[1] (closed_form) = 0.4950049436848293 y[1] (numeric) = 0.4950049436842185 absolute error = 6.107336858462986e-13 relative error = 1.233793103761715e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.010017719752948 y[1] (closed_form) = 0.4956782494292684 y[1] (numeric) = 0.4956782494286578 absolute error = 6.105671523926048e-13 relative error = 1.231781207054418e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.020110040939516 y[1] (closed_form) = 0.4963150289599243 y[1] (numeric) = 0.496315028959314 absolute error = 6.102895966364486e-13 relative error = 1.229641580500532e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.030004473475366 y[1] (closed_form) = 0.4968902483900731 y[1] (numeric) = 0.4968902483894628 absolute error = 6.102895966364486e-13 relative error = 1.228218099698655e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.040096794661934 y[1] (closed_form) = 0.4974268577093474 y[1] (numeric) = 0.4974268577087373 absolute error = 6.100675520315235e-13 relative error = 1.226446748052341e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.049991227197785 y[1] (closed_form) = 0.4979037610497627 y[1] (numeric) = 0.4979037610491529 absolute error = 6.098455074265985e-13 relative error = 1.224826071088159e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.060083548384353 y[1] (closed_form) = 0.4983399858052922 y[1] (numeric) = 0.4983399858046827 absolute error = 6.095124405192109e-13 relative error = 1.223085559819708e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.07017586957092 y[1] (closed_form) = 0.4987254525988443 y[1] (numeric) = 0.4987254525982347 absolute error = 6.095679516704422e-13 relative error = 1.222251538384497e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.080070302106771 y[1] (closed_form) = 0.4990540484923249 y[1] (numeric) = 0.4990540484917153 absolute error = 6.096234628216735e-13 relative error = 1.221557994897318e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.090162623293339 y[1] (closed_form) = 0.4993388837388887 y[1] (numeric) = 0.4993388837382791 absolute error = 6.095679516704422e-13 relative error = 1.220750018717136e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.10005705582919 y[1] (closed_form) = 0.4995687605330877 y[1] (numeric) = 0.4995687605324781 absolute error = 6.096789739729047e-13 relative error = 1.220410526315374e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.110149377015758 y[1] (closed_form) = 0.4997528504532226 y[1] (numeric) = 0.499752850452613 absolute error = 6.096234628216735e-13 relative error = 1.219849896341381e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.120043809551608 y[1] (closed_form) = 0.4998839163222393 y[1] (numeric) = 0.4998839163216297 absolute error = 6.096789739729047e-13 relative error = 1.219641108796724e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.130136130738176 y[1] (closed_form) = 0.4999671873799332 y[1] (numeric) = 0.4999671873793236 absolute error = 6.096234628216735e-13 relative error = 1.219326944266866e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.140030563274027 y[1] (closed_form) = 0.4999993899685854 y[1] (numeric) = 0.4999993899679758 absolute error = 6.096234628216735e-13 relative error = 1.219248413203015e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886507170834 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] = 3.149990095654971 y[1] (closed_form) = 0.4999823708452872 y[1] (numeric) = 0.4999823708446777 absolute error = 6.094569293679797e-13 relative error = 1.218956837093298e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.160020375372506 y[1] (closed_form) = 0.4999151071698477 y[1] (numeric) = 0.4999151071692385 absolute error = 6.091793736118234e-13 relative error = 1.218565642195831e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.170050655090041 y[1] (closed_form) = 0.499797549201237 y[1] (numeric) = 0.4997975492006278 absolute error = 6.091793736118234e-13 relative error = 1.218852262451862e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.180080934807576 y[1] (closed_form) = 0.4996297087664529 y[1] (numeric) = 0.4996297087658439 absolute error = 6.089573290068984e-13 relative error = 1.218817292731385e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.189994583365604 y[1] (closed_form) = 0.4994144276325363 y[1] (numeric) = 0.4994144276319276 absolute error = 6.087352844019733e-13 relative error = 1.21889807486674e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.200024863083139 y[1] (closed_form) = 0.4991466620625063 y[1] (numeric) = 0.4991466620618978 absolute error = 6.08457728645817e-13 relative error = 1.218995888165675e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.210055142800674 y[1] (closed_form) = 0.4988286795092382 y[1] (numeric) = 0.4988286795086301 absolute error = 6.080691505871982e-13 relative error = 1.218993966396306e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.220085422518209 y[1] (closed_form) = 0.498460511963579 y[1] (numeric) = 0.4984605119629714 absolute error = 6.076250613773482e-13 relative error = 1.219003405071625e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.229999071076238 y[1] (closed_form) = 0.4980473486112 y[1] (numeric) = 0.4980473486105929 absolute error = 6.071254610162669e-13 relative error = 1.219011531151064e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.240029350793773 y[1] (closed_form) = 0.4975795096104834 y[1] (numeric) = 0.497579509609877 absolute error = 6.064038160502605e-13 relative error = 1.218707371059084e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.250059630511307 y[1] (closed_form) = 0.4970616112909474 y[1] (numeric) = 0.4970616112903418 absolute error = 6.056821710842542e-13 relative error = 1.218525344395843e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.260089910228842 y[1] (closed_form) = 0.4964937057560986 y[1] (numeric) = 0.4964937057554933 absolute error = 6.052380818744041e-13 relative error = 1.219024682201562e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.270003558786871 y[1] (closed_form) = 0.4958833213067854 y[1] (numeric) = 0.4958833213061812 absolute error = 6.041833700010102e-13 relative error = 1.218398248218604e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.280033838504406 y[1] (closed_form) = 0.4952161574859096 y[1] (numeric) = 0.4952161574853061 absolute error = 6.035172361862351e-13 relative error = 1.218694558049445e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.290064118221941 y[1] (closed_form) = 0.4944991721128333 y[1] (numeric) = 0.4944991721122307 absolute error = 6.025735466153037e-13 relative error = 1.218553196036111e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.300094397939476 y[1] (closed_form) = 0.4937324373203485 y[1] (numeric) = 0.4937324373197468 absolute error = 6.016853681956036e-13 relative error = 1.21864662459925e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.310008046497504 y[1] (closed_form) = 0.4929258084781037 y[1] (numeric) = 0.4929258084775034 absolute error = 6.002975894148221e-13 relative error = 1.217825439630005e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.320038326215039 y[1] (closed_form) = 0.4920603873963342 y[1] (numeric) = 0.4920603873957353 absolute error = 5.989098106340407e-13 relative error = 1.217146972149261e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.330068605932574 y[1] (closed_form) = 0.4911454622507211 y[1] (numeric) = 0.4911454622501237 absolute error = 5.974110095507967e-13 relative error = 1.216362677592711e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.340098885650109 y[1] (closed_form) = 0.4901811250879198 y[1] (numeric) = 0.4901811250873236 absolute error = 5.961897642237091e-13 relative error = 1.216264220938281e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.350012534208138 y[1] (closed_form) = 0.4891795425763518 y[1] (numeric) = 0.4891795425757571 absolute error = 5.947464742916964e-13 relative error = 1.215804060732706e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.360042813925673 y[1] (closed_form) = 0.4881172490334414 y[1] (numeric) = 0.4881172490328484 absolute error = 5.929701174522961e-13 relative error = 1.214810823888076e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.370073093643208 y[1] (closed_form) = 0.4870058481287554 y[1] (numeric) = 0.4870058481281639 absolute error = 5.914158052178209e-13 relative error = 1.214391587883892e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.380103373360742 y[1] (closed_form) = 0.485845451675524 y[1] (numeric) = 0.4858454516749342 absolute error = 5.897504706808832e-13 relative error = 1.213864344406281e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.390017021918771 y[1] (closed_form) = 0.484650518172501 y[1] (numeric) = 0.484650518171913 absolute error = 5.880296249927142e-13 relative error = 1.213306502198802e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.400047301636306 y[1] (closed_form) = 0.4833930519928087 y[1] (numeric) = 0.4833930519922225 absolute error = 5.861422458508514e-13 relative error = 1.212558276198747e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.410077581353841 y[1] (closed_form) = 0.4820869537323386 y[1] (numeric) = 0.4820869537317543 absolute error = 5.843103778602199e-13 relative error = 1.212043539731708e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.41999122991187 y[1] (closed_form) = 0.4807483841299508 y[1] (numeric) = 0.4807483841293686 absolute error = 5.822009541134321e-13 relative error = 1.211030496061028e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.430021509629404 y[1] (closed_form) = 0.4793459823651108 y[1] (numeric) = 0.4793459823645307 absolute error = 5.800915303666443e-13 relative error = 1.210172926670734e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.440051789346939 y[1] (closed_form) = 0.4778953556776355 y[1] (numeric) = 0.4778953556770573 absolute error = 5.781486400735503e-13 relative error = 1.209780830060087e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.450082069064474 y[1] (closed_form) = 0.4763966500087912 y[1] (numeric) = 0.4763966500082152 absolute error = 5.759837051755312e-13 relative error = 1.209042307843479e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.459995717622503 y[1] (closed_form) = 0.4748682750758652 y[1] (numeric) = 0.4748682750752914 absolute error = 5.738187702775122e-13 relative error = 1.208374617541756e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.470025997340038 y[1] (closed_form) = 0.4732744231839158 y[1] (numeric) = 0.4732744231833442 absolute error = 5.715983242282618e-13 relative error = 1.207752407964242e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.480056277057573 y[1] (closed_form) = 0.4716329572025966 y[1] (numeric) = 0.4716329572020275 absolute error = 5.691003224228552e-13 relative error = 1.206659360275347e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.490086556775108 y[1] (closed_form) = 0.4699440422726887 y[1] (numeric) = 0.4699440422721218 absolute error = 5.668798763736049e-13 relative error = 1.206271013953334e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.500000205333136 y[1] (closed_form) = 0.4682283076316782 y[1] (numeric) = 0.4682283076311135 absolute error = 5.646594303243546e-13 relative error = 1.205948937988029e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.510030485050671 y[1] (closed_form) = 0.4664455560077419 y[1] (numeric) = 0.4664455560071799 absolute error = 5.620504062164855e-13 relative error = 1.204964650166282e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.520060764768206 y[1] (closed_form) = 0.4646158773171781 y[1] (numeric) = 0.4646158773166189 absolute error = 5.591638263524601e-13 relative error = 1.203497025502504e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.530091044485741 y[1] (closed_form) = 0.462739455636033 y[1] (numeric) = 0.4627394556354765 absolute error = 5.56554802244591e-13 relative error = 1.202739026175344e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.54000469304377 y[1] (closed_form) = 0.4608391067122076 y[1] (numeric) = 0.4608391067116537 absolute error = 5.538902669854906e-13 relative error = 1.201916805492363e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.550034972761305 y[1] (closed_form) = 0.4588703080184858 y[1] (numeric) = 0.4588703080179349 absolute error = 5.509481759702339e-13 relative error = 1.200662074539891e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.560065252478839 y[1] (closed_form) = 0.4568553443710188 y[1] (numeric) = 0.4568553443704707 absolute error = 5.480615961062085e-13 relative error = 1.199639235611349e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.570095532196374 y[1] (closed_form) = 0.4547944184865697 y[1] (numeric) = 0.4547944184860244 absolute error = 5.452305273934144e-13 relative error = 1.198850525052157e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.580009180754403 y[1] (closed_form) = 0.4527124961149349 y[1] (numeric) = 0.4527124961143926 absolute error = 5.422884363781577e-13 relative error = 1.197864960724392e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.590039460471938 y[1] (closed_form) = 0.4505608007160327 y[1] (numeric) = 0.4505608007154936 absolute error = 5.390687896067448e-13 relative error = 1.196439612034724e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.600069740189473 y[1] (closed_form) = 0.4483637763469159 y[1] (numeric) = 0.4483637763463797 absolute error = 5.361822097427194e-13 relative error = 1.195864246909757e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.610100019907008 y[1] (closed_form) = 0.4461216440406883 y[1] (numeric) = 0.4461216440401551 absolute error = 5.331846075762314e-13 relative error = 1.195155210912839e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.620013668465036 y[1] (closed_form) = 0.4438614796002068 y[1] (numeric) = 0.4438614795996771 absolute error = 5.297429161998934e-13 relative error = 1.193487023647651e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.630043948182571 y[1] (closed_form) = 0.4415303305220908 y[1] (numeric) = 0.4415303305215644 absolute error = 5.26412247126018e-13 relative error = 1.192244814764046e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.640074227900106 y[1] (closed_form) = 0.439154760990244 y[1] (numeric) = 0.4391547609897208 absolute error = 5.23192600354605e-13 relative error = 1.191362696774288e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.650104507617641 y[1] (closed_form) = 0.4367350100004256 y[1] (numeric) = 0.4367350099999056 absolute error = 5.200284647344233e-13 relative error = 1.190718519987478e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.66001815617567 y[1] (closed_form) = 0.4343002200833259 y[1] (numeric) = 0.4343002200828091 absolute error = 5.168088179630104e-13 relative error = 1.189980557375389e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.670048435893205 y[1] (closed_form) = 0.4317933475039812 y[1] (numeric) = 0.4317933475034676 absolute error = 5.135891711915974e-13 relative error = 1.189432801965209e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.68007871561074 y[1] (closed_form) = 0.4292430340665842 y[1] (numeric) = 0.4292430340660742 absolute error = 5.099254352103344e-13 relative error = 1.187964380876207e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.689992364168768 y[1] (closed_form) = 0.4266799404597405 y[1] (numeric) = 0.4266799404592342 absolute error = 5.062616992290714e-13 relative error = 1.186513944582403e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.700022643886303 y[1] (closed_form) = 0.4240440169718227 y[1] (numeric) = 0.4240440169713202 absolute error = 5.024869409453459e-13 relative error = 1.18498769192335e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.710052923603838 y[1] (closed_form) = 0.4213654322524253 y[1] (numeric) = 0.4213654322519267 absolute error = 4.986566715103891e-13 relative error = 1.183430422483402e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.720083203321373 y[1] (closed_form) = 0.4186444557823527 y[1] (numeric) = 0.4186444557818579 absolute error = 4.94770890924201e-13 relative error = 1.181840304082339e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.729996851879402 y[1] (closed_form) = 0.4159137312828878 y[1] (numeric) = 0.4159137312823967 absolute error = 4.910516437917067e-13 relative error = 1.180657446141669e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.740027131596936 y[1] (closed_form) = 0.4131092816841768 y[1] (numeric) = 0.4131092816836895 absolute error = 4.872213743567499e-13 relative error = 1.179400696034789e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.750057411314471 y[1] (closed_form) = 0.4102632709503314 y[1] (numeric) = 0.4102632709498484 absolute error = 4.829470157119431e-13 relative error = 1.177163665158832e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.760087691032006 y[1] (closed_form) = 0.4073759854061619 y[1] (numeric) = 0.4073759854056831 absolute error = 4.787281682183675e-13 relative error = 1.175150684793229e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.770001339590035 y[1] (closed_form) = 0.404481999570921 y[1] (numeric) = 0.4044819995704463 absolute error = 4.746758541784857e-13 relative error = 1.17354011966423e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.78003161930757 y[1] (closed_form) = 0.4015135113891567 y[1] (numeric) = 0.401513511388686 absolute error = 4.706790512898351e-13 relative error = 1.172262048321561e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.790061899025105 y[1] (closed_form) = 0.3985046286724714 y[1] (numeric) = 0.398504628672005 absolute error = 4.664046926450283e-13 relative error = 1.170387140040884e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.80009217874264 y[1] (closed_form) = 0.3954556541315202 y[1] (numeric) = 0.3954556541310582 absolute error = 4.620193116977589e-13 relative error = 1.168321420798553e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.810005827300668 y[1] (closed_form) = 0.39240303775926 y[1] (numeric) = 0.3924030377588025 absolute error = 4.574673972967958e-13 relative error = 1.165810030190064e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.820036107018203 y[1] (closed_form) = 0.3892752610078022 y[1] (numeric) = 0.3892752610073488 absolute error = 4.534150832569139e-13 relative error = 1.164767270550558e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.830066386735738 y[1] (closed_form) = 0.3861083209587752 y[1] (numeric) = 0.3861083209583261 absolute error = 4.490852134608758e-13 relative error = 1.163106799526407e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.840096666453273 y[1] (closed_form) = 0.3829025362242973 y[1] (numeric) = 0.3829025362238527 absolute error = 4.446443213623752e-13 relative error = 1.161246738522282e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.850010315011302 y[1] (closed_form) = 0.3796961739457331 y[1] (numeric) = 0.379696173945293 absolute error = 4.401479181126433e-13 relative error = 1.159210833068732e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.860040594728837 y[1] (closed_form) = 0.376414113522849 y[1] (numeric) = 0.3764141135224134 absolute error = 4.355960037116802e-13 relative error = 1.157225481358681e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.870070874446371 y[1] (closed_form) = 0.3730941837067262 y[1] (numeric) = 0.3730941837062953 absolute error = 4.309330670082545e-13 relative error = 1.15502488601375e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.880101154163906 y[1] (closed_form) = 0.3697367185011208 y[1] (numeric) = 0.3697367185006949 absolute error = 4.259370633974413e-13 relative error = 1.152000983630059e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.890014802721935 y[1] (closed_form) = 0.3663817409628066 y[1] (numeric) = 0.3663817409623853 absolute error = 4.212741266940156e-13 relative error = 1.149822929458653e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.90004508243947 y[1] (closed_form) = 0.3629506486431039 y[1] (numeric) = 0.3629506486426874 absolute error = 4.164446565368962e-13 relative error = 1.147386450730369e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.910075362157005 y[1] (closed_form) = 0.359483041431037 y[1] (numeric) = 0.3594830414306255 absolute error = 4.115041640773143e-13 relative error = 1.144710922771741e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.919989010715033 y[1] (closed_form) = 0.3560202162204855 y[1] (numeric) = 0.3560202162200788 absolute error = 4.066191827689636e-13 relative error = 1.142123857700097e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.930019290432568 y[1] (closed_form) = 0.3524810438420913 y[1] (numeric) = 0.3524810438416894 absolute error = 4.018452237630754e-13 relative error = 1.140047757981274e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.940049570150103 y[1] (closed_form) = 0.3489064098729148 y[1] (numeric) = 0.348906409872518 absolute error = 3.968492201522622e-13 relative error = 1.137408797668148e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.950079849867638 y[1] (closed_form) = 0.3452966739413935 y[1] (numeric) = 0.3452966739410017 absolute error = 3.917977053902177e-13 relative error = 1.134669792552698e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.959993498425667 y[1] (closed_form) = 0.3416947750487966 y[1] (numeric) = 0.3416947750484097 absolute error = 3.869127240818671e-13 relative error = 1.132334329743886e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.970023778143202 y[1] (closed_form) = 0.33801632572319 y[1] (numeric) = 0.3380163257228085 absolute error = 3.814726312612038e-13 relative error = 1.12856274159255e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.980054057860737 y[1] (closed_form) = 0.3343038700394261 y[1] (numeric) = 0.3343038700390498 absolute error = 3.763100941966968e-13 relative error = 1.125652820448404e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.990084337578272 y[1] (closed_form) = 0.330557781491588 y[1] (numeric) = 0.3305577814912172 absolute error = 3.708144902248023e-13 relative error = 1.121784181124288e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.9999979861363 y[1] (closed_form) = 0.3268225724796798 y[1] (numeric) = 0.3268225724793146 absolute error = 3.652078639504452e-13 relative error = 1.117449939823701e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.010028265853835 y[1] (closed_form) = 0.3230107322614348 y[1] (numeric) = 0.3230107322610751 absolute error = 3.597122599785507e-13 relative error = 1.113623245457401e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.02005854557137 y[1] (closed_form) = 0.3191663953327827 y[1] (numeric) = 0.3191663953324281 absolute error = 3.545497229140437e-13 relative error = 1.110861695023902e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.030088825288905 y[1] (closed_form) = 0.3152899484558072 y[1] (numeric) = 0.3152899484554583 absolute error = 3.489430966396867e-13 relative error = 1.106737142584793e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.040002473846934 y[1] (closed_form) = 0.3114274062029252 y[1] (numeric) = 0.3114274062025819 absolute error = 3.433364703653297e-13 relative error = 1.102460681130975e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.050032753564468 y[1] (closed_form) = 0.3074882745914685 y[1] (numeric) = 0.3074882745911309 absolute error = 3.375633106372788e-13 relative error = 1.097808724855503e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.060063033282003 y[1] (closed_form) = 0.3035182079168236 y[1] (numeric) = 0.3035182079164914 absolute error = 3.321787289678468e-13 relative error = 1.09442768276649e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.070093312999538 y[1] (closed_form) = 0.2995176055901992 y[1] (numeric) = 0.2995176055898726 absolute error = 3.266831249959523e-13 relative error = 1.090697571357194e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.080006961557567 y[1] (closed_form) = 0.2955339107264088 y[1] (numeric) = 0.2955339107260876 absolute error = 3.211875210240578e-13 relative error = 1.086804286637001e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.090037241275102 y[1] (closed_form) = 0.2914737909059322 y[1] (numeric) = 0.2914737909056166 absolute error = 3.15636405900932e-13 relative error = 1.082898070937698e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.100067520992637 y[1] (closed_form) = 0.2873843471700923 y[1] (numeric) = 0.2873843471697822 absolute error = 3.10029779626575e-13 relative error = 1.078798419884294e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.110097800710172 y[1] (closed_form) = 0.2832659909401065 y[1] (numeric) = 0.2832659909398022 absolute error = 3.043121310497554e-13 relative error = 1.074298153618091e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.1200114492682 y[1] (closed_form) = 0.2791675179572924 y[1] (numeric) = 0.2791675179569938 absolute error = 2.985944824729359e-13 relative error = 1.069588914418817e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.130041728985735 y[1] (closed_form) = 0.2749929067107406 y[1] (numeric) = 0.2749929067104477 absolute error = 2.928768338961163e-13 relative error = 1.065034139968517e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.14007200870327 y[1] (closed_form) = 0.2707906296191847 y[1] (numeric) = 0.2707906296188978 absolute error = 2.869371407143717e-13 relative error = 1.059627288868503e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.150102288420805 y[1] (closed_form) = 0.2665611094555176 y[1] (numeric) = 0.2665611094552366 absolute error = 2.810529586838584e-13 relative error = 1.054365954800916e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.160015936978834 y[1] (closed_form) = 0.2623544165072691 y[1] (numeric) = 0.262354416506994 absolute error = 2.750577543508825e-13 relative error = 1.04842052218039e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.170046216696369 y[1] (closed_form) = 0.2580719938205404 y[1] (numeric) = 0.2580719938202714 absolute error = 2.690625500179067e-13 relative error = 1.042587171256595e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.180076496413903 y[1] (closed_form) = 0.2537636076285478 y[1] (numeric) = 0.2537636076282848 absolute error = 2.630118345336996e-13 relative error = 1.036444260040191e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.189990144971932 y[1] (closed_form) = 0.2494802308008043 y[1] (numeric) = 0.2494802308005471 absolute error = 2.572109192300331e-13 relative error = 1.030987178440609e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.200020424689467 y[1] (closed_form) = 0.2451215097869709 y[1] (numeric) = 0.2451215097867198 absolute error = 2.511046925945948e-13 relative error = 1.024409048446315e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.210050704407002 y[1] (closed_form) = 0.2407381281599673 y[1] (numeric) = 0.2407381281597224 absolute error = 2.449151992323095e-13 relative error = 1.017351098906803e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.220080984124537 y[1] (closed_form) = 0.2363305269128293 y[1] (numeric) = 0.2363305269125904 absolute error = 2.388644837481024e-13 relative error = 1.010722088544269e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.229994632682565 y[1] (closed_form) = 0.2319508120504537 y[1] (numeric) = 0.2319508120502209 absolute error = 2.327860126882797e-13 relative error = 1.003600766172978e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.2400249124001 y[1] (closed_form) = 0.2274963729565937 y[1] (numeric) = 0.2274963729563673 absolute error = 2.264577414479163e-13 relative error = 9.954345139872819e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.250055192117635 y[1] (closed_form) = 0.2230190464382235 y[1] (numeric) = 0.2230190464380033 absolute error = 2.202127369343998e-13 relative error = 9.874167271870158e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.26008547183517 y[1] (closed_form) = 0.2185192829397672 y[1] (numeric) = 0.2185192829395531 absolute error = 2.141065102989614e-13 relative error = 9.79806026354104e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.269999120393199 y[1] (closed_form) = 0.2140502382243102 y[1] (numeric) = 0.2140502382241024 absolute error = 2.078337502098293e-13 relative error = 9.709578084750065e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.280029400110734 y[1] (closed_form) = 0.2095072088016262 y[1] (numeric) = 0.2095072088014247 absolute error = 2.014499678182347e-13 relative error = 9.615419391557997e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.290059679828269 y[1] (closed_form) = 0.2049431017663038 y[1] (numeric) = 0.2049431017661087 absolute error = 1.950939410022556e-13 relative error = 9.519419747277995e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.300089959545804 y[1] (closed_form) = 0.200358376293379 y[1] (numeric) = 0.2003583762931902 absolute error = 1.888489364887391e-13 relative error = 9.425557342919021e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.310003608103832 y[1] (closed_form) = 0.1958071528471646 y[1] (numeric) = 0.1958071528469821 absolute error = 1.825206652483757e-13 relative error = 9.321450345117908e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.320033887821367 y[1] (closed_form) = 0.1911828026042854 y[1] (numeric) = 0.1911828026041094 absolute error = 1.760258605543186e-13 relative error = 9.207201597450214e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.330064167538902 y[1] (closed_form) = 0.1865392182878894 y[1] (numeric) = 0.1865392182877199 absolute error = 1.694755447090301e-13 relative error = 9.085250075803117e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.340094447256437 y[1] (closed_form) = 0.1818768670688774 y[1] (numeric) = 0.1818768670687146 absolute error = 1.628142065612792e-13 relative error = 8.951891968736238e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.350008095814466 y[1] (closed_form) = 0.1772507475121653 y[1] (numeric) = 0.1772507475120089 absolute error = 1.564026685940689e-13 relative error = 8.82380868849845e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.360038375532 y[1] (closed_form) = 0.1725524760828742 y[1] (numeric) = 0.1725524760827245 absolute error = 1.49741330446318e-13 relative error = 8.678016905094981e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.370068655249535 y[1] (closed_form) = 0.1678368448965062 y[1] (numeric) = 0.1678368448963631 absolute error = 1.43079992298567e-13 relative error = 8.524945305471807e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.38009893496707 y[1] (closed_form) = 0.1631043283722857 y[1] (numeric) = 0.1631043283721492 absolute error = 1.364186541508161e-13 relative error = 8.363889267208195e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.390012583525099 y[1] (closed_form) = 0.1584107151700189 y[1] (numeric) = 0.1584107151698891 absolute error = 1.297295604274495e-13 relative error = 8.189443516381676e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.400042863242634 y[1] (closed_form) = 0.1536460404727617 y[1] (numeric) = 0.1536460404726387 absolute error = 1.229294444016205e-13 relative error = 8.000820849230629e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.410073142960169 y[1] (closed_form) = 0.1488659081130068 y[1] (numeric) = 0.1488659081128905 absolute error = 1.162958618294851e-13 relative error = 7.812121882278304e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.420103422677704 y[1] (closed_form) = 0.1440707989991621 y[1] (numeric) = 0.1440707989990526 absolute error = 1.094957458036561e-13 relative error = 7.600134556364395e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.430017071235732 y[1] (closed_form) = 0.1393172026159449 y[1] (numeric) = 0.139317202615842 absolute error = 1.028066520802895e-13 relative error = 7.379322161936897e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.440047350953267 y[1] (closed_form) = 0.1344937488240657 y[1] (numeric) = 0.1344937488239696 absolute error = 9.606204720569167e-14 relative error = 7.142491606160268e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.450077630670802 y[1] (closed_form) = 0.1296567641987789 y[1] (numeric) = 0.1296567641986896 absolute error = 8.93729534823251e-14 relative error = 6.893042105023224e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.459991279228831 y[1] (closed_form) = 0.1248632041516439 y[1] (numeric) = 0.1248632041515611 absolute error = 8.273937091018979e-14 relative error = 6.626401386408799e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.470021558946366 y[1] (closed_form) = 0.1200007622504135 y[1] (numeric) = 0.1200007622503375 absolute error = 7.593925488436071e-14 relative error = 6.32823104289065e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.480051838663901 y[1] (closed_form) = 0.1151262475923673 y[1] (numeric) = 0.1151262475922982 absolute error = 6.912526107072381e-14 relative error = 6.004300714766519e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.490082118381435 y[1] (closed_form) = 0.1102401505813074 y[1] (numeric) = 0.1102401505812452 absolute error = 6.221412274243221e-14 relative error = 5.643508505237964e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.499995766939464 y[1] (closed_form) = 0.1053999686865274 y[1] (numeric) = 0.1053999686864721 absolute error = 5.534461777756405e-14 relative error = 5.250914062618541e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.510026046656999 y[1] (closed_form) = 0.1004923031908559 y[1] (numeric) = 0.1004923031908075 absolute error = 4.840572387365683e-14 relative error = 4.81685883760911e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.520056326374534 y[1] (closed_form) = 0.09557452759991886 y[1] (numeric) = 0.09557452759987735 absolute error = 4.150846333317304e-14 relative error = 4.343046664790241e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.530086606092069 y[1] (closed_form) = 0.0906471366698135 y[1] (numeric) = 0.09064713666977887 absolute error = 3.462508058049707e-14 relative error = 3.819765505293407e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.540000254650097 y[1] (closed_form) = 0.08576807792324408 y[1] (numeric) = 0.08576807792321632 absolute error = 2.775557561562891e-14 relative error = 3.236119578250086e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.550030534367632 y[1] (closed_form) = 0.08082304181257524 y[1] (numeric) = 0.08082304181255436 absolute error = 2.088607065076076e-14 relative error = 2.584172802997758e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.560060814085167 y[1] (closed_form) = 0.07586987444581589 y[1] (numeric) = 0.07586987444580194 absolute error = 1.394717674685353e-14 relative error = 1.838302336563665e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.570091093802702 y[1] (closed_form) = 0.0709090741396764 y[1] (numeric) = 0.07090907413966936 absolute error = 7.03603841856193e-15 relative error = 9.922620629205185e-12 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 14 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.580004742360731 y[1] (closed_form) = 0.06599894574579711 y[1] (numeric) = 0.0659989457457969 absolute error = 2.081668171172169e-16 relative error = 3.154093065652843e-13 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 15 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.590035022078266 y[1] (closed_form) = 0.06102445179800069 y[1] (numeric) = 0.06102445179800741 absolute error = 6.723788192886104e-15 relative error = 1.101818696404315e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.600065301795801 y[1] (closed_form) = 0.05604381844448252 y[1] (numeric) = 0.05604381844449621 absolute error = 1.368349877850505e-14 relative error = 2.441571462883109e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.610095581513336 y[1] (closed_form) = 0.05105754676518692 y[1] (numeric) = 0.05105754676520762 absolute error = 2.070565940925917e-14 relative error = 4.055357282339526e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.620009230071364 y[1] (closed_form) = 0.04612420564443738 y[1] (numeric) = 0.04612420564446499 absolute error = 2.760985884364686e-14 relative error = 5.985980345436396e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.630039509788899 y[1] (closed_form) = 0.04112821377421211 y[1] (numeric) = 0.04112821377424673 absolute error = 3.461814168659316e-14 relative error = 8.41712744361856e-11 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 13 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.640069789506434 y[1] (closed_form) = 0.03612808417257703 y[1] (numeric) = 0.03612808417261869 absolute error = 4.1661118999059e-14 relative error = 1.153150518584149e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.650100069223969 y[1] (closed_form) = 0.03112431988090953 y[1] (numeric) = 0.0311243198809582 absolute error = 4.867634073590921e-14 relative error = 1.563932671369485e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.660013717781998 y[1] (closed_form) = 0.02617566009747256 y[1] (numeric) = 0.02617566009752819 absolute error = 5.562217353372034e-14 relative error = 2.124957816788392e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.670043997499532 y[1] (closed_form) = 0.02116616461932358 y[1] (numeric) = 0.02116616461938624 absolute error = 6.265474250533032e-14 relative error = 2.960136785864826e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.680074277217067 y[1] (closed_form) = 0.01615453970504953 y[1] (numeric) = 0.01615453970511923 absolute error = 6.970118926474811e-14 relative error = 4.31465028019097e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.690104556934602 y[1] (closed_form) = 0.01114128955252138 y[1] (numeric) = 0.01114128955259812 absolute error = 7.673896240678602e-14 relative error = 6.887798943293708e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.700018205492631 y[1] (closed_form) = 0.006185229682670802 y[1] (numeric) = 0.006185229682754497 absolute error = 8.369520354545301e-14 relative error = 1.353146250654885e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.710048485210166 y[1] (closed_form) = 0.001170246518842315 y[1] (numeric) = 0.001170246518933054 absolute error = 9.073861453878784e-14 relative error = 7.753803414732857e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.720078764927701 y[1] (closed_form) = -0.003844854378418622 y[1] (numeric) = -0.003844854378320842 absolute error = 9.778072448951569e-14 relative error = 2.543158072211115e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.729992413485729 y[1] (closed_form) = -0.00880126197698514 y[1] (numeric) = -0.008801261976880408 absolute error = 1.047321951386238e-13 relative error = 1.189967932013536e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.740022693203264 y[1] (closed_form) = -0.01381509800031198 y[1] (numeric) = -0.01381509800020021 absolute error = 1.117699682806617e-13 relative error = 8.090421673312607e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.750052972920799 y[1] (closed_form) = -0.01882754414647957 y[1] (numeric) = -0.01882754414636074 absolute error = 1.188216192105074e-13 relative error = 6.311052481729276e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.760083252638334 y[1] (closed_form) = -0.02383809613499635 y[1] (numeric) = -0.02383809613487049 absolute error = 1.258611270760213e-13 relative error = 5.279831340693623e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.769996901196363 y[1] (closed_form) = -0.02878803123051053 y[1] (numeric) = -0.02878803123037771 absolute error = 1.328208376616402e-13 relative error = 4.613752034591105e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.780027180913898 y[1] (closed_form) = -0.03379331951474952 y[1] (numeric) = -0.03379331951460969 absolute error = 1.398325899515385e-13 relative error = 4.137876715263405e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.790057460631433 y[1] (closed_form) = -0.0387952079995135 y[1] (numeric) = -0.03879520799936665 absolute error = 1.468547505822926e-13 relative error = 3.785383766575866e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.800087740348967 y[1] (closed_form) = -0.04379319346647149 y[1] (numeric) = -0.04379319346631759 absolute error = 1.539046667886623e-13 relative error = 3.514351309102253e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.810001388906996 y[1] (closed_form) = -0.04872873544197448 y[1] (numeric) = -0.04872873544181364 absolute error = 1.608435606925696e-13 relative error = 3.300794884860082e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.820031668624531 y[1] (closed_form) = -0.05371746679700434 y[1] (numeric) = -0.0537174667968365 absolute error = 1.67837965747708e-13 relative error = 3.124457941808006e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.830061948342066 y[1] (closed_form) = -0.05870079387041765 y[1] (numeric) = -0.05870079387024284 absolute error = 1.748046152272309e-13 relative error = 2.977891842708518e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.840092228059601 y[1] (closed_form) = -0.06367821531126663 y[1] (numeric) = -0.06367821531108482 absolute error = 1.818128980701772e-13 relative error = 2.855182061580311e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.850005876617629 y[1] (closed_form) = -0.06859146658088751 y[1] (numeric) = -0.06859146658069881 absolute error = 1.886962808228532e-13 relative error = 2.751016857181939e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.860036156335164 y[1] (closed_form) = -0.07355565831008468 y[1] (numeric) = -0.07355565830988901 absolute error = 1.95662930302376e-13 relative error = 2.66006633340878e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.870066436052699 y[1] (closed_form) = -0.07851244992316132 y[1] (numeric) = -0.07851244992295875 absolute error = 2.025740686306676e-13 relative error = 2.580152177507174e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.880096715770234 y[1] (closed_form) = -0.08346134273878736 y[1] (numeric) = -0.08346134273857783 absolute error = 2.095268403223827e-13 relative error = 2.510465725169892e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.890010364328263 y[1] (closed_form) = -0.0883444413850306 y[1] (numeric) = -0.0883444413848142 absolute error = 2.163963452872508e-13 relative error = 2.449461923066931e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.900040644045798 y[1] (closed_form) = -0.09327615005874627 y[1] (numeric) = -0.09327615005852295 absolute error = 2.233213614033502e-13 relative error = 2.39419574309939e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.910070923763333 y[1] (closed_form) = -0.09819847462310087 y[1] (numeric) = -0.09819847462287068 absolute error = 2.301908663682184e-13 relative error = 2.34413892121769e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.920101203480868 y[1] (closed_form) = -0.1031109198643447 y[1] (numeric) = -0.1031109198641077 absolute error = 2.370326157574709e-13 relative error = 2.298811959677179e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.930014852038896 y[1] (closed_form) = -0.107956052218303 y[1] (numeric) = -0.1079560522180592 absolute error = 2.438188539954922e-13 relative error = 2.258501019493142e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.940045131756431 y[1] (closed_form) = -0.1128473863845073 y[1] (numeric) = -0.1128473863842567 absolute error = 2.506189700213213e-13 relative error = 2.220866411273203e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.950075411473966 y[1] (closed_form) = -0.1177273674640515 y[1] (numeric) = -0.117727367463794 absolute error = 2.575023527739972e-13 relative error = 2.187276912079314e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.959989060031995 y[1] (closed_form) = -0.1225389681850312 y[1] (numeric) = -0.1225389681847669 absolute error = 2.643441021632498e-13 relative error = 2.157224808389898e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.97001933974953 y[1] (closed_form) = -0.1273949176475426 y[1] (numeric) = -0.1273949176472716 absolute error = 2.710054403110007e-13 relative error = 2.127286121890502e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.980049619467064 y[1] (closed_form) = -0.1322380504592971 y[1] (numeric) = -0.1322380504590192 absolute error = 2.778610674880611e-13 relative error = 2.101218722772889e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.990079899184599 y[1] (closed_form) = -0.1370678793736842 y[1] (numeric) = -0.1370678793733994 absolute error = 2.847999613919683e-13 relative error = 2.077802346496705e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.999993547742628 y[1] (closed_form) = -0.1418279991155507 y[1] (numeric) = -0.141827999115259 absolute error = 2.91627832993413e-13 relative error = 2.056207764419047e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001166311595060559 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = sin ( x ) / 2.0 ; Iterations = 55931 Total Elapsed Time = 1.0 Seconds Elapsed Time(since restart) = 1.0 Seconds Time to Timeout = 2 Minutes 59.0 Seconds Percent Done = 100 %