##############ECHO OF PROBLEM################# ##############temp/addpostode.ode################# diff ( y , x , 1 ) = sin ( x ) + sin ( x ) ; ! // BEGIN FIRST INPUT BLOCK max_terms=40; Digits=32; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=c(-5.0); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=3; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_desired_digits_correct=8; glob_max_minutes=(3.0); glob_subiter_method=3; glob_max_iter=100000; glob_upper_ratio_limit=c(1.000001); glob_lower_ratio_limit=c(0.999999); glob_look_poles=true; glob_h=c(0.001); glob_display_interval=c(0.01); // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return(c(2.0) - c(cos(x)) - c(cos(x))); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -5 y[1] (closed_form) = 1.432675629073548 y[1] (numeric) = 1.432675629073548 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) = 1.451882160909152 y[1] (numeric) = 1.451882160909145 absolute error = 6.661338147750939e-15 relative error = 4.588070800167201e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2636 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) = 1.471143504071902 y[1] (numeric) = 1.471143504071889 absolute error = 1.287858708565182e-14 relative error = 8.754133808160686e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.255 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) = 1.490457732443533 y[1] (numeric) = 1.490457732443514 absolute error = 1.953992523340276e-14 relative error = 1.311001634468896e-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) = 1.509822914617303 y[1] (numeric) = 1.509822914617276 absolute error = 2.664535259100376e-14 relative error = 1.764799853879393e-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) = 1.529237114091131 y[1] (numeric) = 1.529237114091098 absolute error = 3.286260152890463e-14 relative error = 2.148953960513561e-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) = 1.548698389461248 y[1] (numeric) = 1.548698389461209 absolute error = 3.952393967665557e-14 relative error = 2.552074693536997e-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) = 1.568204794616337 y[1] (numeric) = 1.568204794616291 absolute error = 4.618527782440651e-14 relative error = 2.945105000505103e-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 = 0.2108 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) = 1.587754378932135 y[1] (numeric) = 1.587754378932083 absolute error = 5.218048215738236e-14 relative error = 3.286432892251068e-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 = 0.2017 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) = 1.607345187466504 y[1] (numeric) = 1.607345187466445 absolute error = 5.88418203051333e-14 relative error = 3.660807943680083e-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 = 0.1925 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) = 1.626975261154915 y[1] (numeric) = 1.626975261154849 absolute error = 6.572520305780927e-14 relative error = 4.039717420850884e-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 = 0.1832 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) = 1.646642637006357 y[1] (numeric) = 1.646642637006285 absolute error = 7.216449660063518e-14 relative error = 4.382523261503314e-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 = 0.1739 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) = 1.666345348299636 y[1] (numeric) = 1.666345348299557 absolute error = 7.882583474838611e-14 relative error = 4.73046207551281e-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 = 0.1645 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) = 1.686081424780039 y[1] (numeric) = 1.686081424779954 absolute error = 8.526512829121202e-14 relative error = 5.056999444871734e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 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) = 1.705848892856367 y[1] (numeric) = 1.705848892856275 absolute error = 9.192646643896296e-14 relative error = 5.388898560940895e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 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) = 1.725645775798284 y[1] (numeric) = 1.725645775798186 absolute error = 9.836575998178887e-14 relative error = 5.700228943931721e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 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) = 1.745470093933994 y[1] (numeric) = 1.745470093933888 absolute error = 1.052491427344648e-13 relative error = 6.029845088737735e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 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) = 1.765319864848202 y[1] (numeric) = 1.76531986484809 absolute error = 1.114663916723657e-13 relative error = 6.314231992282634e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 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) = 1.785193103580359 y[1] (numeric) = 1.785193103580241 absolute error = 1.181277298201167e-13 relative error = 6.617084145306256e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 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) = 1.805087822823154 y[1] (numeric) = 1.805087822823028 absolute error = 1.254552017826427e-13 relative error = 6.950088532890937e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 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) = 1.82500203312124 y[1] (numeric) = 1.825002033121108 absolute error = 1.323385845353187e-13 relative error = 7.251421211240209e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 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) = 1.844933743070182 y[1] (numeric) = 1.844933743070044 absolute error = 1.387778780781446e-13 relative error = 7.522106341185033e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 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) = 1.864880959515597 y[1] (numeric) = 1.864880959515451 absolute error = 1.454392162258955e-13 relative error = 7.798847185595878e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 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) = 1.884841687752461 y[1] (numeric) = 1.884841687752308 absolute error = 1.521005543736464e-13 relative error = 8.069672660679292e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 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) = 1.904813931724584 y[1] (numeric) = 1.904813931724425 absolute error = 1.585398479164724e-13 relative error = 8.323114676767051e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 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) = 1.924795694224214 y[1] (numeric) = 1.924795694224049 absolute error = 1.652011860642233e-13 relative error = 8.582790711759535e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 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) = 1.944784977091751 y[1] (numeric) = 1.944784977091579 absolute error = 1.720845688168993e-13 relative error = 8.848513889398513e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 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) = 1.964779781415567 y[1] (numeric) = 1.964779781415388 absolute error = 1.785238623597252e-13 relative error = 9.086202130556531e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 0.001 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) = 1.985987011603243 y[1] (numeric) = 1.985987011603059 absolute error = 1.84519066692701e-13 relative error = 9.291051029771985e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 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] = -4.71001432135229 y[1] (closed_form) = 2.00474931360123 y[1] (numeric) = 2.004749313601027 absolute error = 2.025046796916286e-13 relative error = 1.010124698972259e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.699921998613911 y[1] (closed_form) = 2.024933317650393 y[1] (numeric) = 2.024933317650155 absolute error = 2.380318164796336e-13 relative error = 1.175504469232749e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01247 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.689829675875533 y[1] (closed_form) = 2.045114782138584 y[1] (numeric) = 2.045114782138311 absolute error = 2.726707748479384e-13 relative error = 1.33327858773191e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.679935241818299 y[1] (closed_form) = 2.064896083818581 y[1] (numeric) = 2.064896083818275 absolute error = 3.059774655866931e-13 relative error = 1.481805636537669e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03243 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.669842919079921 y[1] (closed_form) = 2.085066453102852 y[1] (numeric) = 2.085066453102512 absolute error = 3.40172334745148e-13 relative error = 1.631469990987227e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.659948485022687 y[1] (closed_form) = 2.104832926782124 y[1] (numeric) = 2.104832926781749 absolute error = 3.752553823233029e-13 relative error = 1.782827404249109e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05234 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.649856162284308 y[1] (closed_form) = 2.124984143664261 y[1] (numeric) = 2.124984143663851 absolute error = 4.098943406916078e-13 relative error = 1.928928937722791e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.639961728227075 y[1] (closed_form) = 2.144727893483579 y[1] (numeric) = 2.144727893483133 absolute error = 4.463096558993129e-13 relative error = 2.080961679359676e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07217 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.629869405488696 y[1] (closed_form) = 2.164851908415931 y[1] (numeric) = 2.164851908415447 absolute error = 4.831690603168681e-13 relative error = 2.231880427656659e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08215 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.619974971431462 y[1] (closed_form) = 2.184565047593274 y[1] (numeric) = 2.184565047592758 absolute error = 5.160316618457728e-13 relative error = 2.362171190161092e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09189 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.609882648693084 y[1] (closed_form) = 2.204653821894202 y[1] (numeric) = 2.20465382189365 absolute error = 5.515587986337778e-13 relative error = 2.50179322103226e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.59998821463585 y[1] (closed_form) = 2.224328475875192 y[1] (numeric) = 2.224328475874606 absolute error = 5.853095785823825e-13 relative error = 2.631399026405418e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1115 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.589895891897472 y[1] (closed_form) = 2.24437398494018 y[1] (numeric) = 2.244373984939559 absolute error = 6.208367153703875e-13 relative error = 2.766191016008123e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1213 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.580001457840238 y[1] (closed_form) = 2.264002294543622 y[1] (numeric) = 2.264002294542966 absolute error = 6.559197629485425e-13 relative error = 2.897169161574383e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1308 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.569909135101859 y[1] (closed_form) = 2.283996531050763 y[1] (numeric) = 2.283996531050071 absolute error = 6.914468997365475e-13 relative error = 3.027355297332454e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1406 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.560014701044626 y[1] (closed_form) = 2.303570655608057 y[1] (numeric) = 2.303570655607331 absolute error = 7.260858581048524e-13 relative error = 3.152001681985277e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.15 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.549922378306247 y[1] (closed_form) = 2.323505632716632 y[1] (numeric) = 2.32350563271587 absolute error = 7.620570841027074e-13 relative error = 3.279772914566658e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1596 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.539830055567869 y[1] (closed_form) = 2.343407659445702 y[1] (numeric) = 2.343407659444906 absolute error = 7.958078640513122e-13 relative error = 3.395942916050504e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.529935621510635 y[1] (closed_form) = 2.362885507744664 y[1] (numeric) = 2.362885507743834 absolute error = 8.30002733209767e-13 relative error = 3.512665892991113e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1784 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.519843298772257 y[1] (closed_form) = 2.382716300903771 y[1] (numeric) = 2.382716300902906 absolute error = 8.641976023682219e-13 relative error = 3.626942922413505e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1878 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.509948864715023 y[1] (closed_form) = 2.402120425562239 y[1] (numeric) = 2.402120425561341 absolute error = 8.975042931069765e-13 relative error = 3.736300160292368e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.197 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.499856541976644 y[1] (closed_form) = 2.421872063599278 y[1] (numeric) = 2.421872063598347 absolute error = 9.312550730555813e-13 relative error = 3.845186899227004e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.489962107919411 y[1] (closed_form) = 2.441194713500932 y[1] (numeric) = 2.441194713499965 absolute error = 9.667822098435863e-13 relative error = 3.960283071632243e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.479869785181032 y[1] (closed_form) = 2.460859306482878 y[1] (numeric) = 2.460859306481878 absolute error = 1.000088900582341e-12 relative error = 4.063982438767266e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2242 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.469975351123798 y[1] (closed_form) = 2.480092763057069 y[1] (numeric) = 2.480092763056035 absolute error = 1.033839680530946e-12 relative error = 4.168552466789954e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.233 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.45988302838542 y[1] (closed_form) = 2.499662455821668 y[1] (numeric) = 2.499662455820602 absolute error = 1.06625819285e-12 relative error = 4.265608703954026e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.449988594328186 y[1] (closed_form) = 2.51879903612666 y[1] (numeric) = 2.518799036125561 absolute error = 1.099564883588755e-12 relative error = 4.365433160081066e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2505 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.439896271589808 y[1] (closed_form) = 2.538266011420228 y[1] (numeric) = 2.538266011419093 absolute error = 1.13464793116691e-12 relative error = 4.470169501785371e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2592 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.430001837532574 y[1] (closed_form) = 2.557298071212206 y[1] (numeric) = 2.557298071211038 absolute error = 1.168398711115515e-12 relative error = 4.56887964789209e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.419909514794195 y[1] (closed_form) = 2.576654552812284 y[1] (numeric) = 2.576654552811081 absolute error = 1.20259358027397e-12 relative error = 4.667267402847625e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2761 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.410015080736962 y[1] (closed_form) = 2.595574489598897 y[1] (numeric) = 2.595574489597662 absolute error = 1.235012092593024e-12 relative error = 4.758145441566096e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2843 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.399922757998583 y[1] (closed_form) = 2.614812745420524 y[1] (numeric) = 2.614812745419256 absolute error = 1.268318783331779e-12 relative error = 4.850514766508846e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.389830435260205 y[1] (closed_form) = 2.633988380034861 y[1] (numeric) = 2.63398838003356 absolute error = 1.300737295650833e-12 relative error = 4.938280310992177e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3006 Order of pole (three term test) = 32.9 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.379936001202971 y[1] (closed_form) = 2.652725346682107 y[1] (numeric) = 2.652725346680776 absolute error = 1.331379451130488e-12 relative error = 5.018911787440448e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.369843678464592 y[1] (closed_form) = 2.671771209104764 y[1] (numeric) = 2.671771209103399 absolute error = 1.365574320288943e-12 relative error = 5.111119977771256e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.359949244407359 y[1] (closed_form) = 2.690377212137408 y[1] (numeric) = 2.690377212136009 absolute error = 1.398436921817847e-12 relative error = 5.197921375147389e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.34985692166898 y[1] (closed_form) = 2.709285694362476 y[1] (numeric) = 2.709285694361043 absolute error = 1.433075880186152e-12 relative error = 5.28949709204946e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3316 Order of pole (three term test) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.339962487611746 y[1] (closed_form) = 2.727753301479586 y[1] (numeric) = 2.727753301478121 absolute error = 1.465050303295357e-12 relative error = 5.37090470205163e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3389 Order of pole (three term test) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.329870164873368 y[1] (closed_form) = 2.746516850378656 y[1] (numeric) = 2.746516850377159 absolute error = 1.497024726404561e-12 relative error = 5.450630045099376e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3463 Order of pole (three term test) = 32.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.319975730816134 y[1] (closed_form) = 2.764838684562539 y[1] (numeric) = 2.764838684561009 absolute error = 1.530331417143316e-12 relative error = 5.534975424381583e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3534 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.309883408077756 y[1] (closed_form) = 2.783449804901857 y[1] (numeric) = 2.783449804900295 absolute error = 1.56186175104267e-12 relative error = 5.611244536517663e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.299988974020522 y[1] (closed_form) = 2.801618547364859 y[1] (numeric) = 2.801618547363264 absolute error = 1.595168441781425e-12 relative error = 5.693738868490165e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3672 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.289896651282143 y[1] (closed_form) = 2.820069804799348 y[1] (numeric) = 2.820069804797723 absolute error = 1.624922418841379e-12 relative error = 5.76199360766176e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.374 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.28000221722491 y[1] (closed_form) = 2.838078197907397 y[1] (numeric) = 2.83807819790574 absolute error = 1.656452752740734e-12 relative error = 5.83652964165007e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.269909894486531 y[1] (closed_form) = 2.856362221950362 y[1] (numeric) = 2.856362221948674 absolute error = 1.687983086640088e-12 relative error = 5.909555425668355e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.260015460429297 y[1] (closed_form) = 2.874203072122082 y[1] (numeric) = 2.874203072120364 absolute error = 1.718181152909892e-12 relative error = 5.977939309769523e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.249923137690919 y[1] (closed_form) = 2.892312559089401 y[1] (numeric) = 2.892312559087651 absolute error = 1.749711486809247e-12 relative error = 6.049524216567092e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 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] = -4.239830814952541 y[1] (closed_form) = 2.910331160351849 y[1] (numeric) = 2.910331160350069 absolute error = 1.780797731498751e-12 relative error = 6.11888349944155e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4053 Order of pole (three term test) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.229936380895307 y[1] (closed_form) = 2.927906455597274 y[1] (numeric) = 2.927906455595461 absolute error = 1.812328065398106e-12 relative error = 6.18984278658726e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.411 Order of pole (three term test) = 32.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.219844058156928 y[1] (closed_form) = 2.945739660435253 y[1] (numeric) = 2.945739660433409 absolute error = 1.84341431008761e-12 relative error = 6.257899619735008e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4167 Order of pole (three term test) = 32.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.209949624099695 y[1] (closed_form) = 2.963129693237548 y[1] (numeric) = 2.963129693235674 absolute error = 1.873612376357414e-12 relative error = 6.323085960879036e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.422 Order of pole (three term test) = 32.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.199857301361316 y[1] (closed_form) = 2.980770378049889 y[1] (numeric) = 2.980770378047984 absolute error = 1.904698621046919e-12 relative error = 6.389954204701372e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4274 Order of pole (three term test) = 32.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.189962867304082 y[1] (closed_form) = 2.997968201836125 y[1] (numeric) = 2.997968201834191 absolute error = 1.933564419687173e-12 relative error = 6.449582815798208e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.179870544565704 y[1] (closed_form) = 3.015409319925161 y[1] (numeric) = 3.015409319923199 absolute error = 1.961986129117577e-12 relative error = 6.50653334574913e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4374 Order of pole (three term test) = 32.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.16997611050847 y[1] (closed_form) = 3.032408064901674 y[1] (numeric) = 3.032408064899682 absolute error = 1.992184195387381e-12 relative error = 6.569644166448875e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4421 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.159883787770092 y[1] (closed_form) = 3.049642649288092 y[1] (numeric) = 3.049642649286072 absolute error = 2.020161815607935e-12 relative error = 6.624257488265129e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.149989353712858 y[1] (closed_form) = 3.066435525184672 y[1] (numeric) = 3.06643552518262 absolute error = 2.051692149507289e-12 relative error = 6.690804788350242e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.139897030974479 y[1] (closed_form) = 3.083456691390523 y[1] (numeric) = 3.083456691388443 absolute error = 2.079669769727843e-12 relative error = 6.744605090561498e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4554 Order of pole (three term test) = 32.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.130002596917246 y[1] (closed_form) = 3.100036990172834 y[1] (numeric) = 3.100036990170727 absolute error = 2.106759211528697e-12 relative error = 6.795916365537434e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4593 Order of pole (three term test) = 32.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.119910274178867 y[1] (closed_form) = 3.116837938971587 y[1] (numeric) = 3.116837938969453 absolute error = 2.134292742539401e-12 relative error = 6.847621802382254e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.110015840121633 y[1] (closed_form) = 3.133199037520743 y[1] (numeric) = 3.13319903751858 absolute error = 2.163158541179655e-12 relative error = 6.903993379531139e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4669 Order of pole (three term test) = 32.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.099923517383255 y[1] (closed_form) = 3.149773057653285 y[1] (numeric) = 3.149773057651093 absolute error = 2.191136161400209e-12 relative error = 6.956488995536392e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4704 Order of pole (three term test) = 32.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.089831194644876 y[1] (closed_form) = 3.166229968670057 y[1] (numeric) = 3.166229968667837 absolute error = 2.220890138460163e-12 relative error = 7.014304584429871e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.079936760587643 y[1] (closed_form) = 3.182248891266995 y[1] (numeric) = 3.182248891264745 absolute error = 2.249755937100417e-12 relative error = 7.069704520203915e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4768 Order of pole (three term test) = 32.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.069844437849264 y[1] (closed_form) = 3.198468945209472 y[1] (numeric) = 3.198468945207193 absolute error = 2.278177646530821e-12 relative error = 7.122713040384454e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.05995000379203 y[1] (closed_form) = 3.214252467108801 y[1] (numeric) = 3.214252467106496 absolute error = 2.304378909911975e-12 relative error = 7.169252986479773e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4824 Order of pole (three term test) = 32.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.049857681053652 y[1] (closed_form) = 3.23022918476047 y[1] (numeric) = 3.23022918475814 absolute error = 2.330580173293129e-12 relative error = 7.214906559225911e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.485 Order of pole (three term test) = 32.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.039963246996418 y[1] (closed_form) = 3.245771001121526 y[1] (numeric) = 3.245771001119168 absolute error = 2.358557793513683e-12 relative error = 7.26655636734298e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.02987092425804 y[1] (closed_form) = 3.261498000468301 y[1] (numeric) = 3.261498000465915 absolute error = 2.386091324524386e-12 relative error = 7.315936800150668e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4895 Order of pole (three term test) = 32.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.019976490200806 y[1] (closed_form) = 3.276791903001426 y[1] (numeric) = 3.276791902999012 absolute error = 2.41362485553509e-12 relative error = 7.365816710314424e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.009884167462427 y[1] (closed_form) = 3.29226290178098 y[1] (numeric) = 3.292262901778538 absolute error = 2.442046564965494e-12 relative error = 7.417532067820122e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.999989733405194 y[1] (closed_form) = 3.307302781227462 y[1] (numeric) = 3.307302781224996 absolute error = 2.466027382297398e-12 relative error = 7.45630970437537e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.989897410666838 y[1] (closed_form) = 3.32251159943869 y[1] (numeric) = 3.322511599436234 absolute error = 2.456701508890546e-12 relative error = 7.39410965278672e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.496 Order of pole (three term test) = 32.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.980002976609627 y[1] (closed_form) = 3.337291448011132 y[1] (numeric) = 3.337291448008681 absolute error = 2.450484259952646e-12 relative error = 7.34273376517061e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4972 Order of pole (three term test) = 32.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.969910653871271 y[1] (closed_form) = 3.352232010382902 y[1] (numeric) = 3.352232010380459 absolute error = 2.443822921804895e-12 relative error = 7.290136584328342e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4982 Order of pole (three term test) = 32.54 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.960016219814059 y[1] (closed_form) = 3.366745924165157 y[1] (numeric) = 3.366745924162719 absolute error = 2.438049762076844e-12 relative error = 7.241561486946481e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4989 Order of pole (three term test) = 32.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.949923897075704 y[1] (closed_form) = 3.381412262583015 y[1] (numeric) = 3.381412262580584 absolute error = 2.430500245509393e-12 relative error = 7.187825845443544e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 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] = -3.939831574337348 y[1] (closed_form) = 3.395937898479184 y[1] (numeric) = 3.39593789847676 absolute error = 2.424282996571492e-12 relative error = 7.138773054881739e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 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] = -3.929937140280136 y[1] (closed_form) = 3.410040699778668 y[1] (numeric) = 3.410040699776252 absolute error = 2.415845301584341e-12 relative error = 7.084505770682277e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5 Order of pole (three term test) = 32.5 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.91984481754178 y[1] (closed_form) = 3.424283337223092 y[1] (numeric) = 3.424283337220682 absolute error = 2.40962805264644e-12 relative error = 7.036882802462595e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.909950383484569 y[1] (closed_form) = 3.43810588613595 y[1] (numeric) = 3.438105886133548 absolute error = 2.401634446869139e-12 relative error = 6.985341715488321e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4997 Order of pole (three term test) = 32.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.899858060746213 y[1] (closed_form) = 3.452059835805276 y[1] (numeric) = 3.45205983580288 absolute error = 2.395861287141088e-12 relative error = 6.940381688320868e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.889963626689001 y[1] (closed_form) = 3.465596610815522 y[1] (numeric) = 3.465596610813134 absolute error = 2.388755859783487e-12 relative error = 6.892769494085366e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4986 Order of pole (three term test) = 32.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.879871303950646 y[1] (closed_form) = 3.479256298704794 y[1] (numeric) = 3.479256298702412 absolute error = 2.382094521635736e-12 relative error = 6.846562360244938e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4978 Order of pole (three term test) = 32.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.869976869893434 y[1] (closed_form) = 3.492501892450872 y[1] (numeric) = 3.492501892448495 absolute error = 2.377209540327385e-12 relative error = 6.80660916881901e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 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) = 32.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.859884547155078 y[1] (closed_form) = 3.505861862100105 y[1] (numeric) = 3.505861862097734 absolute error = 2.370992291389484e-12 relative error = 6.762937002797928e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.849990113097867 y[1] (closed_form) = 3.518810983534895 y[1] (numeric) = 3.518810983532532 absolute error = 2.362554596402333e-12 relative error = 6.714070768384893e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 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] = -3.839897790359511 y[1] (closed_form) = 3.531865898208697 y[1] (numeric) = 3.531865898206339 absolute error = 2.357225525884132e-12 relative error = 6.674164857390757e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.830003356302299 y[1] (closed_form) = 3.544513374713066 y[1] (numeric) = 3.544513374710716 absolute error = 2.350120098526531e-12 relative error = 6.630303937608296e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4906 Order of pole (three term test) = 32.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.819911033563943 y[1] (closed_form) = 3.557258019532436 y[1] (numeric) = 3.557258019530093 absolute error = 2.34345876037878e-12 relative error = 6.587823395185721e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.810016599506732 y[1] (closed_form) = 3.569598798981473 y[1] (numeric) = 3.569598798979135 absolute error = 2.33812968986058e-12 relative error = 6.550118995243182e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.799924276768376 y[1] (closed_form) = 3.582028083006923 y[1] (numeric) = 3.582028083004592 absolute error = 2.331468351712829e-12 relative error = 6.508794173818102e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4839 Order of pole (three term test) = 32.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.78983195403002 y[1] (closed_form) = 3.594296230964097 y[1] (numeric) = 3.594296230961772 absolute error = 2.324362924355228e-12 relative error = 6.466809564362938e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.779937519972809 y[1] (closed_form) = 3.606166194053214 y[1] (numeric) = 3.606166194050898 absolute error = 2.316369318577927e-12 relative error = 6.423357088749153e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.769845197234453 y[1] (closed_form) = 3.618111557684195 y[1] (numeric) = 3.618111557681883 absolute error = 2.311484337269576e-12 relative error = 6.388648609688151e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.759950763177241 y[1] (closed_form) = 3.62966271053028 y[1] (numeric) = 3.629662710527973 absolute error = 2.306599355961225e-12 relative error = 6.354858673973704e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4724 Order of pole (three term test) = 32.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.749858440438885 y[1] (closed_form) = 3.641280518174165 y[1] (numeric) = 3.641280518171864 absolute error = 2.300826196233174e-12 relative error = 6.318728218684096e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.469 Order of pole (three term test) = 32.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.739964006381674 y[1] (closed_form) = 3.652508246586629 y[1] (numeric) = 3.652508246584335 absolute error = 2.294608947295274e-12 relative error = 6.28228272842272e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4654 Order of pole (three term test) = 32.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.729871683643318 y[1] (closed_form) = 3.663793857427095 y[1] (numeric) = 3.663793857424806 absolute error = 2.288391698357373e-12 relative error = 6.245961938383727e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.719977249586107 y[1] (closed_form) = 3.674693676409555 y[1] (numeric) = 3.67469367640727 absolute error = 2.284394895468722e-12 relative error = 6.216558702930426e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.709884926847751 y[1] (closed_form) = 3.685642582328667 y[1] (numeric) = 3.685642582326387 absolute error = 2.279954003370221e-12 relative error = 6.186042060350025e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.699990492790539 y[1] (closed_form) = 3.696210137870501 y[1] (numeric) = 3.696210137868229 absolute error = 2.27240448680277e-12 relative error = 6.147930994291281e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4493 Order of pole (three term test) = 32.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.689898170052183 y[1] (closed_form) = 3.706817965249513 y[1] (numeric) = 3.706817965247244 absolute error = 2.26885177312397e-12 relative error = 6.12075314837115e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.680003735994972 y[1] (closed_form) = 3.717049036065113 y[1] (numeric) = 3.717049036062847 absolute error = 2.265743148655019e-12 relative error = 6.095542799331877e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4402 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.669911413256616 y[1] (closed_form) = 3.727311547531539 y[1] (numeric) = 3.727311547529279 absolute error = 2.259969988926969e-12 relative error = 6.063270966505774e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4354 Order of pole (three term test) = 32.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.660016979199404 y[1] (closed_form) = 3.737202046746519 y[1] (numeric) = 3.737202046744264 absolute error = 2.254640918408768e-12 relative error = 6.032965010204845e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4304 Order of pole (three term test) = 32.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.649924656461049 y[1] (closed_form) = 3.747115142866782 y[1] (numeric) = 3.747115142864534 absolute error = 2.247979580261017e-12 relative error = 5.999227391078164e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4252 Order of pole (three term test) = 32.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.639832333722693 y[1] (closed_form) = 3.756850288122601 y[1] (numeric) = 3.756850288120357 absolute error = 2.244426866582216e-12 relative error = 5.974224934323419e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4198 Order of pole (three term test) = 32.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.629937899665481 y[1] (closed_form) = 3.766220840567509 y[1] (numeric) = 3.76622084056527 absolute error = 2.239097796064016e-12 relative error = 5.945211103782804e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4143 Order of pole (three term test) = 32.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.619845576927125 y[1] (closed_form) = 3.775600664626142 y[1] (numeric) = 3.775600664623907 absolute error = 2.234212814755665e-12 relative error = 5.917502970290678e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4086 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.609951142869914 y[1] (closed_form) = 3.784621008726175 y[1] (numeric) = 3.784621008723946 absolute error = 2.228883744237464e-12 relative error = 5.889318214686074e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4028 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.599858820131558 y[1] (closed_form) = 3.793641764749844 y[1] (numeric) = 3.79364176474762 absolute error = 2.223554673719264e-12 relative error = 5.861266855453566e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.589964386074346 y[1] (closed_form) = 3.802308297264063 y[1] (numeric) = 3.802308297261843 absolute error = 2.220446049250313e-12 relative error = 5.839731751494288e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.579872063335991 y[1] (closed_form) = 3.810966381847282 y[1] (numeric) = 3.810966381845065 absolute error = 2.217781513991213e-12 relative error = 5.819472784003389e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3843 Order of pole (three term test) = 32.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.569977629278779 y[1] (closed_form) = 3.819275640867314 y[1] (numeric) = 3.819275640865102 absolute error = 2.212452443473012e-12 relative error = 5.792858781385544e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3779 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.559885306540423 y[1] (closed_form) = 3.827567595476296 y[1] (numeric) = 3.827567595474089 absolute error = 2.207123372954811e-12 relative error = 5.766386400499768e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.549990872483212 y[1] (closed_form) = 3.835516261809221 y[1] (numeric) = 3.835516261807019 absolute error = 2.20135021322676e-12 relative error = 5.739384382608195e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 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] = -3.539898549744856 y[1] (closed_form) = 3.843438774163416 y[1] (numeric) = 3.843438774161218 absolute error = 2.19824158875781e-12 relative error = 5.71946560859758e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.530004115687644 y[1] (closed_form) = 3.851023672657638 y[1] (numeric) = 3.851023672655444 absolute error = 2.193800696659309e-12 relative error = 5.696668946065816e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.519911792949288 y[1] (closed_form) = 3.858573578052845 y[1] (numeric) = 3.858573578050655 absolute error = 2.190247982980509e-12 relative error = 5.676315194398276e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3432 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.510017358892077 y[1] (closed_form) = 3.865791678866435 y[1] (numeric) = 3.865791678864248 absolute error = 2.186695269301708e-12 relative error = 5.656526401192194e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.336 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.499925036153721 y[1] (closed_form) = 3.872965961438967 y[1] (numeric) = 3.872965961436784 absolute error = 2.183586644832758e-12 relative error = 5.638021781171206e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.489832713415365 y[1] (closed_form) = 3.879949474723467 y[1] (numeric) = 3.879949474721287 absolute error = 2.180033931153957e-12 relative error = 5.618717319274715e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3208 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.479938279358154 y[1] (closed_form) = 3.886610175181342 y[1] (numeric) = 3.886610175179167 absolute error = 2.175593039055457e-12 relative error = 5.597662078250354e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3131 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.469845956619798 y[1] (closed_form) = 3.893213810105404 y[1] (numeric) = 3.893213810103231 absolute error = 2.172928503796356e-12 relative error = 5.581323322536778e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3052 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.459951522562586 y[1] (closed_form) = 3.899500769001245 y[1] (numeric) = 3.899500768999074 absolute error = 2.170263968537256e-12 relative error = 5.565491833697247e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2973 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.449859199824231 y[1] (closed_form) = 3.905721887695687 y[1] (numeric) = 3.905721887693519 absolute error = 2.168043522488006e-12 relative error = 5.550941886871306e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.439964765767019 y[1] (closed_form) = 3.911632593658814 y[1] (numeric) = 3.911632593656648 absolute error = 2.165378987228905e-12 relative error = 5.535742264596176e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.281 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.429872443028663 y[1] (closed_form) = 3.917468711053297 y[1] (numeric) = 3.917468711051135 absolute error = 2.161826273550105e-12 relative error = 5.518426394703356e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2726 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.419978008971452 y[1] (closed_form) = 3.923000803009955 y[1] (numeric) = 3.923000803007795 absolute error = 2.159161738291004e-12 relative error = 5.503852399505934e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2642 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.409885686233096 y[1] (closed_form) = 3.928449587825662 y[1] (numeric) = 3.928449587823507 absolute error = 2.154720846192504e-12 relative error = 5.484914081295644e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2556 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.399991252175884 y[1] (closed_form) = 3.933600855942168 y[1] (numeric) = 3.933600855940016 absolute error = 2.152056310933403e-12 relative error = 5.470957501146738e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.247 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.389898929437528 y[1] (closed_form) = 3.938660131623049 y[1] (numeric) = 3.9386601316209 absolute error = 2.148947686464453e-12 relative error = 5.456037369690264e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.380004495380317 y[1] (closed_form) = 3.943428518188527 y[1] (numeric) = 3.943428518186379 absolute error = 2.147615418834903e-12 relative error = 5.446061489207473e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2295 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.369912172641961 y[1] (closed_form) = 3.94809626377074 y[1] (numeric) = 3.948096263768594 absolute error = 2.145839061995503e-12 relative error = 5.435123458580665e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2205 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.360017738584749 y[1] (closed_form) = 3.952479864019085 y[1] (numeric) = 3.952479864016941 absolute error = 2.144506794365952e-12 relative error = 5.425724780759054e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2115 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.349925415846394 y[1] (closed_form) = 3.956754214938287 y[1] (numeric) = 3.956754214936145 absolute error = 2.142286348316702e-12 relative error = 5.414251762792689e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.339833093108038 y[1] (closed_form) = 3.960829262391155 y[1] (numeric) = 3.960829262389014 absolute error = 2.140065902267452e-12 relative error = 5.403075367544353e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.329938659050826 y[1] (closed_form) = 3.964630526645196 y[1] (numeric) = 3.964630526643059 absolute error = 2.137401367008351e-12 relative error = 5.391174165268269e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.31984633631247 y[1] (closed_form) = 3.968309669780272 y[1] (numeric) = 3.968309669778137 absolute error = 2.135180920959101e-12 relative error = 5.380580394768757e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.309951902255259 y[1] (closed_form) = 3.971722052642448 y[1] (numeric) = 3.971722052640315 absolute error = 2.133848653329551e-12 relative error = 5.372603180803823e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.299859579516903 y[1] (closed_form) = 3.975003821799701 y[1] (numeric) = 3.975003821797569 absolute error = 2.132516385700001e-12 relative error = 5.364815938049825e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1556 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.289965145459691 y[1] (closed_form) = 3.978025960169282 y[1] (numeric) = 3.978025960167151 absolute error = 2.1307400288606e-12 relative error = 5.35627482121793e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.279872822721336 y[1] (closed_form) = 3.98090904442256 y[1] (numeric) = 3.980909044420433 absolute error = 2.12763140439165e-12 relative error = 5.344586828409358e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.269978388664124 y[1] (closed_form) = 3.983539731084766 y[1] (numeric) = 3.983539731082638 absolute error = 2.1280754936015e-12 relative error = 5.342172131472627e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.259886065925768 y[1] (closed_form) = 3.986022978765455 y[1] (numeric) = 3.986022978763328 absolute error = 2.12674322597195e-12 relative error = 5.335501669964386e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.249991631868557 y[1] (closed_form) = 3.988261162873693 y[1] (numeric) = 3.988261162871567 absolute error = 2.12585504755225e-12 relative error = 5.33028044236825e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1076 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.239899309130201 y[1] (closed_form) = 3.990343582030749 y[1] (numeric) = 3.990343582028624 absolute error = 2.12496686913255e-12 relative error = 5.325272938154163e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09767 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.230004875072989 y[1] (closed_form) = 3.992188369526374 y[1] (numeric) = 3.992188369524252 absolute error = 2.122746423083299e-12 relative error = 5.317250156046965e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08795 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.219912552334633 y[1] (closed_form) = 3.99386912832258 y[1] (numeric) = 3.993869128320458 absolute error = 2.122302333873449e-12 relative error = 5.31390054527103e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.210018118277422 y[1] (closed_form) = 3.995319782292039 y[1] (numeric) = 3.995319782289919 absolute error = 2.120525977034049e-12 relative error = 5.307525035749563e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.199925795539066 y[1] (closed_form) = 3.996598209336277 y[1] (numeric) = 3.996598209334157 absolute error = 2.119637798614349e-12 relative error = 5.30360493497384e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0582 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.18983347280071 y[1] (closed_form) = 3.997673274639443 y[1] (numeric) = 3.997673274637324 absolute error = 2.119193709404499e-12 relative error = 5.301067805736656e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.179939038743499 y[1] (closed_form) = 3.998529734920917 y[1] (numeric) = 3.998529734918798 absolute error = 2.118305530984799e-12 relative error = 5.297711087364703e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03831 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.169846716005143 y[1] (closed_form) = 3.999201761061466 y[1] (numeric) = 3.99920176105935 absolute error = 2.116085084935548e-12 relative error = 5.291268636503847e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02824 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.159952281947931 y[1] (closed_form) = 3.999662933514795 y[1] (numeric) = 3.999662933512679 absolute error = 2.116529174145398e-12 relative error = 5.291768854845601e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01836 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.149859959209576 y[1] (closed_form) = 3.99993165204708 y[1] (numeric) = 3.999931652044964 absolute error = 2.115196906515848e-12 relative error = 5.288082623695172e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.139965525152364 y[1] (closed_form) = 3.999997352453632 y[1] (numeric) = 3.999997352451516 absolute error = 2.115640995725698e-12 relative error = 5.289105990102584e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.129873202414008 y[1] (closed_form) = 3.999862656036115 y[1] (numeric) = 3.999862656033998 absolute error = 2.116973263355248e-12 relative error = 5.292614885565047e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.119978768356797 y[1] (closed_form) = 3.999532858151393 y[1] (numeric) = 3.999532858149276 absolute error = 2.116529174145398e-12 relative error = 5.291940957133855e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.109886445618441 y[1] (closed_form) = 3.998994800589519 y[1] (numeric) = 3.998994800587402 absolute error = 2.116973263355248e-12 relative error = 5.293763480370545e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.099992011561229 y[1] (closed_form) = 3.998269636153648 y[1] (numeric) = 3.99826963615153 absolute error = 2.117861441774949e-12 relative error = 5.296945014974879e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04155 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.089899688822873 y[1] (closed_form) = 3.997328432378357 y[1] (numeric) = 3.997328432376239 absolute error = 2.117417352565099e-12 relative error = 5.297081259108008e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.080005254765662 y[1] (closed_form) = 3.996208191063452 y[1] (numeric) = 3.996208191061335 absolute error = 2.117417352565099e-12 relative error = 5.29856616905042e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06143 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.069912932027306 y[1] (closed_form) = 3.994864217045323 y[1] (numeric) = 3.994864217043205 absolute error = 2.117417352565099e-12 relative error = 5.300348741592976e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07143 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.060018497970094 y[1] (closed_form) = 3.993349346339788 y[1] (numeric) = 3.993349346337669 absolute error = 2.119637798614349e-12 relative error = 5.307919780565054e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.049926175231739 y[1] (closed_form) = 3.991603138938849 y[1] (numeric) = 3.991603138936727 absolute error = 2.121858244663599e-12 relative error = 5.31580462988534e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.039833852493383 y[1] (closed_form) = 3.989654078565309 y[1] (numeric) = 3.989654078563185 absolute error = 2.123634601502999e-12 relative error = 5.322853960979656e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1011 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.029939418436171 y[1] (closed_form) = 3.987546500719901 y[1] (numeric) = 3.987546500717776 absolute error = 2.1254109583424e-12 relative error = 5.330122063676709e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.019847095697815 y[1] (closed_form) = 3.985196317683872 y[1] (numeric) = 3.985196317681745 absolute error = 2.1271873151818e-12 relative error = 5.337722776021445e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.009952661640604 y[1] (closed_form) = 3.982695922841616 y[1] (numeric) = 3.982695922839488 absolute error = 2.12763140439165e-12 relative error = 5.34218892331003e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1301 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.999860338902248 y[1] (closed_form) = 3.979945555940515 y[1] (numeric) = 3.979945555938386 absolute error = 2.1289636720212e-12 relative error = 5.349228129122227e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.989965904845036 y[1] (closed_form) = 3.977053342902006 y[1] (numeric) = 3.977053342899874 absolute error = 2.131628207280301e-12 relative error = 5.359817994608235e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.979873582106681 y[1] (closed_form) = 3.973903890789554 y[1] (numeric) = 3.973903890787422 absolute error = 2.131628207280301e-12 relative error = 5.364065830129522e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1589 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.969979148049469 y[1] (closed_form) = 3.970621014869969 y[1] (numeric) = 3.970621014867837 absolute error = 2.131628207280301e-12 relative error = 5.368500794453453e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1683 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.959886825311113 y[1] (closed_form) = 3.96707373561733 y[1] (numeric) = 3.967073735615197 absolute error = 2.132960474909851e-12 relative error = 5.376659515449953e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.949992391253902 y[1] (closed_form) = 3.963401508184925 y[1] (numeric) = 3.96340150818279 absolute error = 2.134292742539401e-12 relative error = 5.385002599741199e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1869 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.939900068515546 y[1] (closed_form) = 3.959457818778156 y[1] (numeric) = 3.95945781877602 absolute error = 2.135625010168951e-12 relative error = 5.393730929625059e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1963 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.930005634458334 y[1] (closed_form) = 3.955397706730431 y[1] (numeric) = 3.955397706728293 absolute error = 2.138289545428051e-12 relative error = 5.406003906483481e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2053 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.919913311719978 y[1] (closed_form) = 3.951059182504462 y[1] (numeric) = 3.951059182502321 absolute error = 2.141398169897002e-12 relative error = 5.419807881844057e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2145 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.910018877662767 y[1] (closed_form) = 3.946612807682204 y[1] (numeric) = 3.946612807680061 absolute error = 2.142730437526552e-12 relative error = 5.429289727524476e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2234 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.899926554924411 y[1] (closed_form) = 3.941881181691553 y[1] (numeric) = 3.941881181689407 absolute error = 2.145394972785652e-12 relative error = 5.442566312627956e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2324 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.889834232186055 y[1] (closed_form) = 3.936951767114188 y[1] (numeric) = 3.936951767112042 absolute error = 2.146283151205353e-12 relative error = 5.451636896173083e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.879939798128844 y[1] (closed_form) = 3.931927482557469 y[1] (numeric) = 3.931927482555321 absolute error = 2.148947686464453e-12 relative error = 5.465379755851191e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2499 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.869847475390488 y[1] (closed_form) = 3.926607870122456 y[1] (numeric) = 3.926607870120305 absolute error = 2.151612221723553e-12 relative error = 5.479569880392595e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2586 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.859953041333276 y[1] (closed_form) = 3.921202061178493 y[1] (numeric) = 3.921202061176338 absolute error = 2.154720846192504e-12 relative error = 5.495051804458442e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.267 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.849860718594921 y[1] (closed_form) = 3.915494375843052 y[1] (numeric) = 3.915494375840893 absolute error = 2.158273559871304e-12 relative error = 5.512135512662057e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.839966284537709 y[1] (closed_form) = 3.909709201900873 y[1] (numeric) = 3.909709201898712 absolute error = 2.161382184340255e-12 relative error = 5.528242825040302e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.829873961799353 y[1] (closed_form) = 3.903615723640716 y[1] (numeric) = 3.90361572363855 absolute error = 2.165823076438755e-12 relative error = 5.548248674484782e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.819979527742142 y[1] (closed_form) = 3.897453495629414 y[1] (numeric) = 3.897453495627245 absolute error = 2.169819879327406e-12 relative error = 5.567275868103703e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.809887205003786 y[1] (closed_form) = 3.890976658527997 y[1] (numeric) = 3.890976658525823 absolute error = 2.174260771425907e-12 relative error = 5.587956346796631e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.799992770946574 y[1] (closed_form) = 3.884439837993607 y[1] (numeric) = 3.884439837991431 absolute error = 2.176481217475157e-12 relative error = 5.603076140315134e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3156 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.789900448208218 y[1] (closed_form) = 3.877582229269814 y[1] (numeric) = 3.877582229267633 absolute error = 2.180922109573658e-12 relative error = 5.624438066357515e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.780006014151007 y[1] (closed_form) = 3.870673427392033 y[1] (numeric) = 3.870673427389848 absolute error = 2.184918912462308e-12 relative error = 5.644803038665171e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3309 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.769913691412651 y[1] (closed_form) = 3.863437786366696 y[1] (numeric) = 3.863437786364506 absolute error = 2.190692072190359e-12 relative error = 5.670317974113303e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.760019257355439 y[1] (closed_form) = 3.856159762915827 y[1] (numeric) = 3.856159762913633 absolute error = 2.193800696659309e-12 relative error = 5.689081447705557e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.749926934617084 y[1] (closed_form) = 3.848548979917485 y[1] (numeric) = 3.848548979915287 absolute error = 2.19824158875781e-12 relative error = 5.711871149954655e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3528 Order of pole (three term test) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.739834611878728 y[1] (closed_form) = 3.840749914601122 y[1] (numeric) = 3.84074991459892 absolute error = 2.20179430243661e-12 relative error = 5.732719784920639e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.729940177821516 y[1] (closed_form) = 3.83292175736236 y[1] (numeric) = 3.832921757360154 absolute error = 2.206235194535111e-12 relative error = 5.756014169340468e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3667 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.71984785508316 y[1] (closed_form) = 3.824752181951576 y[1] (numeric) = 3.824752181949364 absolute error = 2.212008354263162e-12 relative error = 5.783403078247247e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3735 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.709953421025949 y[1] (closed_form) = 3.816562361107097 y[1] (numeric) = 3.816562361104881 absolute error = 2.216449246361663e-12 relative error = 5.807449313414917e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.699861098287593 y[1] (closed_form) = 3.808025538997195 y[1] (numeric) = 3.808025538994975 absolute error = 2.220446049250313e-12 relative error = 5.830964174245126e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3865 Order of pole (three term test) = 32.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.689966664230381 y[1] (closed_form) = 3.799477326029487 y[1] (numeric) = 3.79947732602726 absolute error = 2.227107387398064e-12 relative error = 5.861615154643982e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3927 Order of pole (three term test) = 32.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.679874341492026 y[1] (closed_form) = 3.790576667315092 y[1] (numeric) = 3.790576667312861 absolute error = 2.230660101076865e-12 relative error = 5.88475131056211e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3988 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.669979907434814 y[1] (closed_form) = 3.781673476868939 y[1] (numeric) = 3.781673476866701 absolute error = 2.237321439224615e-12 relative error = 5.916220564544933e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4047 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.659887584696458 y[1] (closed_form) = 3.772412536981809 y[1] (numeric) = 3.772412536979567 absolute error = 2.242206420532966e-12 relative error = 5.943693587464551e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.649993150639247 y[1] (closed_form) = 3.763157925500286 y[1] (numeric) = 3.76315792549804 absolute error = 2.246203223421617e-12 relative error = 5.968931593863415e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 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] = -2.639900827900891 y[1] (closed_form) = 3.753540403789068 y[1] (numeric) = 3.753540403786817 absolute error = 2.251088204729967e-12 relative error = 5.997239839106494e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4216 Order of pole (three term test) = 32.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.630006393843679 y[1] (closed_form) = 3.743938068092895 y[1] (numeric) = 3.74393806809064 absolute error = 2.254640918408768e-12 relative error = 6.022110615620434e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4269 Order of pole (three term test) = 32.24 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.619914071105323 y[1] (closed_form) = 3.733967806345396 y[1] (numeric) = 3.733967806343134 absolute error = 2.261746345766369e-12 relative error = 6.057219727290694e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.432 Order of pole (three term test) = 32.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.610019637048112 y[1] (closed_form) = 3.724021582156218 y[1] (numeric) = 3.724021582153951 absolute error = 2.26663132707472e-12 relative error = 6.086515013595421e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4369 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.599927314309756 y[1] (closed_form) = 3.713702563064773 y[1] (numeric) = 3.7137025630625 absolute error = 2.27284857601262e-12 relative error = 6.120168584898538e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.5898349915714 y[1] (closed_form) = 3.703208996317583 y[1] (numeric) = 3.703208996315306 absolute error = 2.277289468111121e-12 relative error = 6.149502959124437e-11 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4464 Order of pole (three term test) = 32.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.579940557514189 y[1] (closed_form) = 3.69275276904351 y[1] (numeric) = 3.692752769041228 absolute error = 2.282618538629322e-12 relative error = 6.181346765926497e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 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] = -2.569848234775833 y[1] (closed_form) = 3.681916700781027 y[1] (numeric) = 3.681916700778739 absolute error = 2.288391698357373e-12 relative error = 6.215218551446173e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.559953800718621 y[1] (closed_form) = 3.671126792826605 y[1] (numeric) = 3.671126792824314 absolute error = 2.291500322826323e-12 relative error = 6.241953634791156e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4591 Order of pole (three term test) = 32.3 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.549861477980266 y[1] (closed_form) = 3.659952551593769 y[1] (numeric) = 3.65995255159147 absolute error = 2.298161660974074e-12 relative error = 6.279211625225341e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.463 Order of pole (three term test) = 32.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.539967043923054 y[1] (closed_form) = 3.648833273064872 y[1] (numeric) = 3.648833273062567 absolute error = 2.305267088331675e-12 relative error = 6.317819740761529e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4666 Order of pole (three term test) = 32.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.529874721184698 y[1] (closed_form) = 3.637325322492229 y[1] (numeric) = 3.637325322489918 absolute error = 2.310596158849876e-12 relative error = 6.352459442002008e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.519980287127487 y[1] (closed_form) = 3.625881115064161 y[1] (numeric) = 3.625881115061844 absolute error = 2.316813407787777e-12 relative error = 6.389656291162708e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.509887964389131 y[1] (closed_form) = 3.614044052084842 y[1] (numeric) = 3.614044052082519 absolute error = 2.323474745935528e-12 relative error = 6.429016117263925e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4766 Order of pole (three term test) = 32.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.499993530331919 y[1] (closed_form) = 3.602279487228079 y[1] (numeric) = 3.602279487225749 absolute error = 2.329247905663578e-12 relative error = 6.466038834360167e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.489901207593563 y[1] (closed_form) = 3.590118040241517 y[1] (numeric) = 3.590118040239182 absolute error = 2.335021065391629e-12 relative error = 6.504023096785269e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4822 Order of pole (three term test) = 32.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.480006773536352 y[1] (closed_form) = 3.578037817395599 y[1] (numeric) = 3.578037817393259 absolute error = 2.34079422511968e-12 relative error = 6.542117061310183e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4847 Order of pole (three term test) = 32.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.469914450797996 y[1] (closed_form) = 3.565556844378742 y[1] (numeric) = 3.565556844376394 absolute error = 2.347899652477281e-12 relative error = 6.584945227219834e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.45982212805964 y[1] (closed_form) = 3.552916412957019 y[1] (numeric) = 3.552916412954666 absolute error = 2.352784633785632e-12 relative error = 6.622122111303649e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4893 Order of pole (three term test) = 32.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.449927694002429 y[1] (closed_form) = 3.540370275641798 y[1] (numeric) = 3.540370275639438 absolute error = 2.359445971933383e-12 relative error = 6.664404534651853e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.439835371264073 y[1] (closed_form) = 3.527417869159317 y[1] (numeric) = 3.527417869156951 absolute error = 2.366107310081134e-12 relative error = 6.707760174285911e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.493 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.429940937206861 y[1] (closed_form) = 3.514568394985634 y[1] (numeric) = 3.514568394983262 absolute error = 2.371880469809184e-12 relative error = 6.748710519315074e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4946 Order of pole (three term test) = 32.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.419848614468505 y[1] (closed_form) = 3.501309187373765 y[1] (numeric) = 3.501309187371386 absolute error = 2.379429986376635e-12 relative error = 6.795829385640118e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.496 Order of pole (three term test) = 32.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.409954180411294 y[1] (closed_form) = 3.488161509155947 y[1] (numeric) = 3.488161509153561 absolute error = 2.385647235314536e-12 relative error = 6.839268276576468e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.399861857672938 y[1] (closed_form) = 3.474600796899965 y[1] (numeric) = 3.474600796897573 absolute error = 2.391864484252437e-12 relative error = 6.883854071484862e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4981 Order of pole (three term test) = 32.46 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.389967423615726 y[1] (closed_form) = 3.46116016657207 y[1] (numeric) = 3.461160166569672 absolute error = 2.398081733190338e-12 relative error = 6.928548861595723e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4989 Order of pole (three term test) = 32.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.379875100877371 y[1] (closed_form) = 3.447303366595436 y[1] (numeric) = 3.447303366593034 absolute error = 2.402522625288839e-12 relative error = 6.969281115695874e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4994 Order of pole (three term test) = 32.48 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.369980666820159 y[1] (closed_form) = 3.433575153113342 y[1] (numeric) = 3.433575153110932 absolute error = 2.40962805264644e-12 relative error = 7.017839846789275e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.359888344081803 y[1] (closed_form) = 3.419427800613874 y[1] (numeric) = 3.419427800611458 absolute error = 2.415401212374491e-12 relative error = 7.063758480120168e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.349993910024592 y[1] (closed_form) = 3.405417487810602 y[1] (numeric) = 3.405417487808179 absolute error = 2.422506639732092e-12 relative error = 7.113684734407001e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5 Order of pole (three term test) = 32.51 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.339901587286236 y[1] (closed_form) = 3.390985234049399 y[1] (numeric) = 3.390985234046969 absolute error = 2.429612067089693e-12 relative error = 7.164914912319841e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.330007153229024 y[1] (closed_form) = 3.376698418444564 y[1] (numeric) = 3.376698418442126 absolute error = 2.437605672866994e-12 relative error = 7.218902521919171e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4993 Order of pole (three term test) = 32.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.319914830490668 y[1] (closed_form) = 3.361987028488572 y[1] (numeric) = 3.361987028486126 absolute error = 2.445155189434445e-12 relative error = 7.27294653047397e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.309822507752313 y[1] (closed_form) = 3.347136914550893 y[1] (numeric) = 3.34713691454844 absolute error = 2.453148795211746e-12 relative error = 7.32909605384607e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4979 Order of pole (three term test) = 32.55 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.299928073695101 y[1] (closed_form) = 3.332444767471921 y[1] (numeric) = 3.332444767469462 absolute error = 2.459366044149647e-12 relative error = 7.380065434709022e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.289835750956745 y[1] (closed_form) = 3.317324402910161 y[1] (numeric) = 3.317324402907694 absolute error = 2.467359649926948e-12 relative error = 7.437800318119108e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.279941316899534 y[1] (closed_form) = 3.302370251866819 y[1] (numeric) = 3.302370251864343 absolute error = 2.476241434123949e-12 relative error = 7.498376151868914e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4942 Order of pole (three term test) = 32.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.269848994161178 y[1] (closed_form) = 3.286985676618702 y[1] (numeric) = 3.28698567661622 absolute error = 2.48245868306185e-12 relative error = 7.552386676705987e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4926 Order of pole (three term test) = 32.59 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.259954560103966 y[1] (closed_form) = 3.271775495153534 y[1] (numeric) = 3.271775495151042 absolute error = 2.491784556468701e-12 relative error = 7.616001037234279e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.249862237365611 y[1] (closed_form) = 3.256132854697634 y[1] (numeric) = 3.256132854695135 absolute error = 2.498889983826302e-12 relative error = 7.674410398277041e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4887 Order of pole (three term test) = 32.61 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.239967803308399 y[1] (closed_form) = 3.240672718626369 y[1] (numeric) = 3.240672718623864 absolute error = 2.505551321974053e-12 relative error = 7.73157779115716e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.229875480570043 y[1] (closed_form) = 3.224778261527248 y[1] (numeric) = 3.224778261524734 absolute error = 2.513989016961204e-12 relative error = 7.795850793693283e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4841 Order of pole (three term test) = 32.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.219981046512832 y[1] (closed_form) = 3.209074346511771 y[1] (numeric) = 3.209074346509249 absolute error = 2.522870801158206e-12 relative error = 7.86167763268102e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4816 Order of pole (three term test) = 32.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.209888723774476 y[1] (closed_form) = 3.192934421923955 y[1] (numeric) = 3.192934421921423 absolute error = 2.531752585355207e-12 relative error = 7.929234524740593e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.199994289717264 y[1] (closed_form) = 3.176993001005389 y[1] (numeric) = 3.176993001002848 absolute error = 2.540634369552208e-12 relative error = 7.996978176370552e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.189901966978908 y[1] (closed_form) = 3.160614056137141 y[1] (numeric) = 3.160614056134593 absolute error = 2.547739796909809e-12 relative error = 8.060901304804111e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.180007532921697 y[1] (closed_form) = 3.144441497230044 y[1] (numeric) = 3.144441497227489 absolute error = 2.55528931347726e-12 relative error = 8.126369390965704e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4693 Order of pole (three term test) = 32.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.169915210183341 y[1] (closed_form) = 3.127830074767992 y[1] (numeric) = 3.127830074765431 absolute error = 2.561506562415161e-12 relative error = 8.189404479094542e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.159822887444985 y[1] (closed_form) = 3.111103778173247 y[1] (numeric) = 3.111103778170676 absolute error = 2.570832435822012e-12 relative error = 8.263409449271196e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.149928453387774 y[1] (closed_form) = 3.094595573612249 y[1] (numeric) = 3.09459557360967 absolute error = 2.579270130809164e-12 relative error = 8.334756737851989e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.139836130649418 y[1] (closed_form) = 3.077646820045822 y[1] (numeric) = 3.077646820043235 absolute error = 2.586819647376615e-12 relative error = 8.405186815224303e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 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] = -2.129941696592206 y[1] (closed_form) = 3.060923828429003 y[1] (numeric) = 3.060923828426407 absolute error = 2.595701431573616e-12 relative error = 8.480124227416144e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.11984937385385 y[1] (closed_form) = 3.043759388191679 y[1] (numeric) = 3.043759388189074 absolute error = 2.605471394190317e-12 relative error = 8.560043886183289e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 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] = -2.109954939796639 y[1] (closed_form) = 3.026828289637598 y[1] (numeric) = 3.026828289634982 absolute error = 2.615241356807019e-12 relative error = 8.640203891843967e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.099862617058283 y[1] (closed_form) = 3.009455019187743 y[1] (numeric) = 3.00945501918512 absolute error = 2.62279087337447e-12 relative error = 8.715168881581641e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4357 Order of pole (three term test) = 32.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.089968183001071 y[1] (closed_form) = 2.992322576944762 y[1] (numeric) = 2.992322576942131 absolute error = 2.631228568361621e-12 relative error = 8.793265099941774e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4308 Order of pole (three term test) = 32.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.079875860262716 y[1] (closed_form) = 2.974747416159467 y[1] (numeric) = 2.974747416156826 absolute error = 2.640554441768472e-12 relative error = 8.876566889089184e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4256 Order of pole (three term test) = 32.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.069981426205504 y[1] (closed_form) = 2.957420473904126 y[1] (numeric) = 2.957420473901475 absolute error = 2.650768493595024e-12 relative error = 8.963109970276607e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4203 Order of pole (three term test) = 32.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.059889103467148 y[1] (closed_form) = 2.939650443307015 y[1] (numeric) = 2.939650443304355 absolute error = 2.660538456211725e-12 relative error = 9.050526610295549e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.049994669409937 y[1] (closed_form) = 2.922135922410275 y[1] (numeric) = 2.922135922407605 absolute error = 2.669864329618576e-12 relative error = 9.136687685001262e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.039902346671581 y[1] (closed_form) = 2.904178120367115 y[1] (numeric) = 2.904178120364438 absolute error = 2.676969756976177e-12 relative error = 9.217650040823886e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.030007912614369 y[1] (closed_form) = 2.886483017129564 y[1] (numeric) = 2.886483017126878 absolute error = 2.685851541173179e-12 relative error = 9.304927571838268e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3973 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.019915589876013 y[1] (closed_form) = 2.868344617012767 y[1] (numeric) = 2.868344617010072 absolute error = 2.69473332537018e-12 relative error = 9.394733496760253e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.009823267137658 y[1] (closed_form) = 2.850117772424599 y[1] (numeric) = 2.850117772421894 absolute error = 2.704947377196731e-12 relative error = 9.490651240336743e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3847 Order of pole (three term test) = 32.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.999928833080446 y[1] (closed_form) = 2.832164247193072 y[1] (numeric) = 2.832164247190357 absolute error = 2.714717339813433e-12 relative error = 9.585310394705958e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3784 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.98983651034209 y[1] (closed_form) = 2.813767735164373 y[1] (numeric) = 2.81376773516165 absolute error = 2.723599124010434e-12 relative error = 9.679544938883622e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.979942076284879 y[1] (closed_form) = 2.795651463415419 y[1] (numeric) = 2.795651463412687 absolute error = 2.732036818997585e-12 relative error = 9.772451447362768e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.365 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.969849753546523 y[1] (closed_form) = 2.777092632564442 y[1] (numeric) = 2.777092632561702 absolute error = 2.740474513984736e-12 relative error = 9.868142250098832e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.959955319489311 y[1] (closed_form) = 2.758820850972331 y[1] (numeric) = 2.758820850969583 absolute error = 2.748024030552187e-12 relative error = 9.960864365599028e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.949862996750956 y[1] (closed_form) = 2.740107114756743 y[1] (numeric) = 2.740107114753985 absolute error = 2.757793993168889e-12 relative error = 1.006454812776075e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.939968562693744 y[1] (closed_form) = 2.721687122115262 y[1] (numeric) = 2.721687122112495 absolute error = 2.76711986657574e-12 relative error = 1.016692860869756e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.929876239955388 y[1] (closed_form) = 2.702825955870784 y[1] (numeric) = 2.702825955868006 absolute error = 2.777778007612142e-12 relative error = 1.027730994509119e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.919981805898177 y[1] (closed_form) = 2.684265110177686 y[1] (numeric) = 2.684265110174898 absolute error = 2.787547970228843e-12 relative error = 1.038477145815273e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.909889483159821 y[1] (closed_form) = 2.665264048132019 y[1] (numeric) = 2.665264048129221 absolute error = 2.797762022055394e-12 relative error = 1.04971288830322e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3137 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.899995049102609 y[1] (closed_form) = 2.646569763649812 y[1] (numeric) = 2.646569763647006 absolute error = 2.806643806252396e-12 relative error = 1.06048359079786e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.889902726364253 y[1] (closed_form) = 2.627436395913036 y[1] (numeric) = 2.62743639591022 absolute error = 2.815969679659247e-12 relative error = 1.071755603309551e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.880008292307042 y[1] (closed_form) = 2.608616140207309 y[1] (numeric) = 2.608616140204484 absolute error = 2.825739642275948e-12 relative error = 1.083233212706943e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.869915969568686 y[1] (closed_form) = 2.589358109739957 y[1] (numeric) = 2.589358109737122 absolute error = 2.83462142647295e-12 relative error = 1.094719736065254e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2816 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.85982364683033 y[1] (closed_form) = 2.570040050724671 y[1] (numeric) = 2.570040050721827 absolute error = 2.843947299879801e-12 relative error = 1.106577035279235e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2732 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.849929212773119 y[1] (closed_form) = 2.551044400256426 y[1] (numeric) = 2.551044400253573 absolute error = 2.853717262496502e-12 relative error = 1.118646646138206e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.839836890034763 y[1] (closed_form) = 2.53161327367744 y[1] (numeric) = 2.531613273674576 absolute error = 2.863487225113204e-12 relative error = 1.131091883142831e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2562 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.829942455977551 y[1] (closed_form) = 2.512510572147615 y[1] (numeric) = 2.512510572144742 absolute error = 2.873257187729905e-12 relative error = 1.143580138360944e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2477 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.819850133239195 y[1] (closed_form) = 2.49297413990736 y[1] (numeric) = 2.492974139904476 absolute error = 2.883915328766307e-12 relative error = 1.156817185786562e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2389 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.809955699181984 y[1] (closed_form) = 2.473772018026654 y[1] (numeric) = 2.47377201802376 absolute error = 2.894129380592858e-12 relative error = 1.169925667969001e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.799863376443628 y[1] (closed_form) = 2.454138084092659 y[1] (numeric) = 2.454138084089756 absolute error = 2.902567075580009e-12 relative error = 1.182723618688776e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.789968942386416 y[1] (closed_form) = 2.43484421228594 y[1] (numeric) = 2.434844212283026 absolute error = 2.914113395036111e-12 relative error = 1.196837719773542e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2122 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.779876619648061 y[1] (closed_form) = 2.415120619573484 y[1] (numeric) = 2.415120619570562 absolute error = 2.922107000813412e-12 relative error = 1.209921764209633e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.203 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.769982185590849 y[1] (closed_form) = 2.395742704915783 y[1] (numeric) = 2.395742704912853 absolute error = 2.930100606590713e-12 relative error = 1.223044778798028e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.759889862852493 y[1] (closed_form) = 2.375937332154987 y[1] (numeric) = 2.375937332152047 absolute error = 2.940314658417265e-12 relative error = 1.237538809893771e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1846 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.749995428795282 y[1] (closed_form) = 2.356483115292853 y[1] (numeric) = 2.356483115289902 absolute error = 2.951860977873366e-12 relative error = 1.252655263564883e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 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] = -1.739903106056926 y[1] (closed_form) = 2.336603873881462 y[1] (numeric) = 2.3366038738785 absolute error = 2.961630940490068e-12 relative error = 1.267493807399343e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1659 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.730008671999714 y[1] (closed_form) = 2.317081125940905 y[1] (numeric) = 2.317081125937932 absolute error = 2.972289081526469e-12 relative error = 1.282772988934301e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1565 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.719916349261359 y[1] (closed_form) = 2.297135956784023 y[1] (numeric) = 2.297135956781039 absolute error = 2.983835400982571e-12 relative error = 1.298937223184615e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1469 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.709824026523003 y[1] (closed_form) = 2.277160523107607 y[1] (numeric) = 2.277160523104612 absolute error = 2.994937631228822e-12 relative error = 1.315207075143598e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1372 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.699929592465791 y[1] (closed_form) = 2.257549346604323 y[1] (numeric) = 2.257549346601319 absolute error = 3.003819415425824e-12 relative error = 1.330566448057491e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.689837269727435 y[1] (closed_form) = 2.237519984481926 y[1] (numeric) = 2.237519984478911 absolute error = 3.014921645672075e-12 relative error = 1.347438980023299e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1179 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.679942835670224 y[1] (closed_form) = 2.217859856496817 y[1] (numeric) = 2.217859856493791 absolute error = 3.026023875918327e-12 relative error = 1.364389128129147e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1083 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.669850512931868 y[1] (closed_form) = 2.197784566800335 y[1] (numeric) = 2.197784566797298 absolute error = 3.036682016954728e-12 relative error = 1.381701401869297e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.659956078874656 y[1] (closed_form) = 2.178083340712082 y[1] (numeric) = 2.178083340709036 absolute error = 3.045563801151729e-12 relative error = 1.398276982439084e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.649863756136301 y[1] (closed_form) = 2.157970142659509 y[1] (numeric) = 2.157970142656454 absolute error = 3.054889674558581e-12 relative error = 1.415631112853905e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.639969322079089 y[1] (closed_form) = 2.138235688263722 y[1] (numeric) = 2.138235688260657 absolute error = 3.065547815594982e-12 relative error = 1.433680969979624e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06895 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.629876999340733 y[1] (closed_form) = 2.118092616215816 y[1] (numeric) = 2.11809261621274 absolute error = 3.075761867421534e-12 relative error = 1.452137571262908e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05894 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.619982565283522 y[1] (closed_form) = 2.098332816581395 y[1] (numeric) = 2.098332816578308 absolute error = 3.086864097667785e-12 relative error = 1.471103188814874e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04911 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.609890242545166 y[1] (closed_form) = 2.078167916832294 y[1] (numeric) = 2.078167916829196 absolute error = 3.098410417123887e-12 relative error = 1.490933620920645e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03905 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.599995808487954 y[1] (closed_form) = 2.058390665152469 y[1] (numeric) = 2.05839066514936 absolute error = 3.109512647370138e-12 relative error = 1.510652326602837e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.02918 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.589903485749598 y[1] (closed_form) = 2.038211992715545 y[1] (numeric) = 2.038211992712426 absolute error = 3.11928260998684e-12 relative error = 1.530401460267617e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.580009051692387 y[1] (closed_form) = 2.018425189154894 y[1] (numeric) = 2.018425189151764 absolute error = 3.130384840233091e-12 relative error = 1.550904565129694e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.009212 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.569916728954031 y[1] (closed_form) = 1.998240804545115 y[1] (numeric) = 1.998240804541975 absolute error = 3.139710713639943e-12 relative error = 1.571237413678315e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.559824406215675 y[1] (closed_form) = 1.978056599116629 y[1] (numeric) = 1.97805659911348 absolute error = 3.149258631651719e-12 relative error = 1.592097330813553e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01097 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.549929972158464 y[1] (closed_form) = 1.958270319097887 y[1] (numeric) = 1.958270319094728 absolute error = 3.15858450505857e-12 relative error = 1.612946115893556e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.539837649420108 y[1] (closed_form) = 1.938092535451654 y[1] (numeric) = 1.938092535448485 absolute error = 3.169242646094972e-12 relative error = 1.635238043655336e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 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] = -1.529943215362896 y[1] (closed_form) = 1.918316502870034 y[1] (numeric) = 1.918316502866855 absolute error = 3.179234653316598e-12 relative error = 1.657304542060749e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.51985089262454 y[1] (closed_form) = 1.898153201165989 y[1] (numeric) = 1.898153201162799 absolute error = 3.18944870514315e-12 relative error = 1.680290454523876e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.509956458567329 y[1] (closed_form) = 1.878395315699092 y[1] (numeric) = 1.878395315695893 absolute error = 3.199440712364776e-12 relative error = 1.70328401355389e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.499864135828973 y[1] (closed_form) = 1.858254550312254 y[1] (numeric) = 1.858254550309044 absolute error = 3.209876808796253e-12 relative error = 1.72736119938836e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.489969701771761 y[1] (closed_form) = 1.838522704388686 y[1] (numeric) = 1.838522704385466 absolute error = 3.219868816017879e-12 relative error = 1.751334812636156e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08048 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.479877379033406 y[1] (closed_form) = 1.818412520691782 y[1] (numeric) = 1.818412520688553 absolute error = 3.22963877863458e-12 relative error = 1.776075968397931e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.469982944976194 y[1] (closed_form) = 1.798714596338467 y[1] (numeric) = 1.798714596335227 absolute error = 3.239408741251282e-12 relative error = 1.800957610421102e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.459890622237838 y[1] (closed_form) = 1.778643027488149 y[1] (numeric) = 1.778643027484899 absolute error = 3.250066882287683e-12 relative error = 1.827273281967952e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.11 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.449996188180627 y[1] (closed_form) = 1.758986893181795 y[1] (numeric) = 1.758986893178535 absolute error = 3.25961480029946e-12 relative error = 1.853120573515593e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.439903865442271 y[1] (closed_form) = 1.738961956909739 y[1] (numeric) = 1.738961956906469 absolute error = 3.269828852126011e-12 relative error = 1.880333746884684e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1294 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.430009431385059 y[1] (closed_form) = 1.719355464433724 y[1] (numeric) = 1.719355464430445 absolute error = 3.279376770137787e-12 relative error = 1.907329134652131e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1389 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.419917108646704 y[1] (closed_form) = 1.699385159843888 y[1] (numeric) = 1.699385159840599 absolute error = 3.289146732754489e-12 relative error = 1.935492206520529e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1486 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.409824785908348 y[1] (closed_form) = 1.679445474112168 y[1] (numeric) = 1.679445474108869 absolute error = 3.29936078458104e-12 relative error = 1.964553678841662e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.399930351851136 y[1] (closed_form) = 1.659928445525133 y[1] (numeric) = 1.659928445521823 absolute error = 3.309352791802667e-12 relative error = 1.993671956597939e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1676 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.38983802911278 y[1] (closed_form) = 1.640055387585243 y[1] (numeric) = 1.640055387581923 absolute error = 3.319566843629218e-12 relative error = 2.024057765827547e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.177 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.379943595055569 y[1] (closed_form) = 1.620607575220095 y[1] (numeric) = 1.620607575216766 absolute error = 3.329336806245919e-12 relative error = 2.054375690422008e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1863 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.369851272317213 y[1] (closed_form) = 1.600809083507109 y[1] (numeric) = 1.60080908350377 absolute error = 3.339106768862621e-12 relative error = 2.085886945086036e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.359956838260001 y[1] (closed_form) = 1.581438255931537 y[1] (numeric) = 1.581438255928189 absolute error = 3.348654686874397e-12 relative error = 2.117474188014942e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2046 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.349864515521646 y[1] (closed_form) = 1.561722239094515 y[1] (numeric) = 1.561722239091156 absolute error = 3.359312827910799e-12 relative error = 2.151030922027802e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2138 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.339970081464434 y[1] (closed_form) = 1.542436134124083 y[1] (numeric) = 1.542436134120715 absolute error = 3.368416656712725e-12 relative error = 2.183828932810613e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2227 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.329877758726078 y[1] (closed_form) = 1.522810467866907 y[1] (numeric) = 1.522810467863529 absolute error = 3.378186619329426e-12 relative error = 2.218389412611181e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2317 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.319983324668867 y[1] (closed_form) = 1.503616789474128 y[1] (numeric) = 1.50361678947074 absolute error = 3.387956581946128e-12 relative error = 2.253204809671635e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2404 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.309891001930511 y[1] (closed_form) = 1.484089313409495 y[1] (numeric) = 1.484089313406097 absolute error = 3.398170633772679e-12 relative error = 2.289734588793609e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2492 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.299996567873299 y[1] (closed_form) = 1.464995728646424 y[1] (numeric) = 1.464995728643016 absolute error = 3.407940596389381e-12 relative error = 2.326246097344005e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.289904245134943 y[1] (closed_form) = 1.445574243164256 y[1] (numeric) = 1.445574243160839 absolute error = 3.417710559006082e-12 relative error = 2.364258062266635e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.280009811077732 y[1] (closed_form) = 1.426588379099834 y[1] (numeric) = 1.426588379096408 absolute error = 3.426814387808008e-12 relative error = 2.402104515929325e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2747 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.269917488339376 y[1] (closed_form) = 1.407280642251358 y[1] (numeric) = 1.407280642247921 absolute error = 3.436806395029635e-12 relative error = 2.442161351364469e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.25982516560102 y[1] (closed_form) = 1.388033276307751 y[1] (numeric) = 1.388033276304304 absolute error = 3.446354313041411e-12 relative error = 2.482904676614753e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.249930731543809 y[1] (closed_form) = 1.369223807323458 y[1] (numeric) = 1.369223807320002 absolute error = 3.455458141843337e-12 relative error = 2.523662036375211e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 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] = -1.239838408805453 y[1] (closed_form) = 1.350101778872256 y[1] (numeric) = 1.350101778868791 absolute error = 3.465006059855114e-12 relative error = 2.566477664187246e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3073 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.229943974748241 y[1] (closed_form) = 1.331418940455349 y[1] (numeric) = 1.331418940451874 absolute error = 3.47455397786689e-12 relative error = 2.609662422767234e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3151 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.219851652009885 y[1] (closed_form) = 1.312429887927528 y[1] (numeric) = 1.312429887924043 absolute error = 3.484323940483591e-12 relative error = 2.654864821758764e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.209957217952674 y[1] (closed_form) = 1.293881143071381 y[1] (numeric) = 1.293881143067888 absolute error = 3.493205724680593e-12 relative error = 2.69978872741627e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.199864895214318 y[1] (closed_form) = 1.275032651779731 y[1] (numeric) = 1.275032651776229 absolute error = 3.502753642692369e-12 relative error = 2.747187405595545e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.189970461157106 y[1] (closed_form) = 1.25662540991309 y[1] (numeric) = 1.256625409909578 absolute error = 3.51163542688937e-12 relative error = 2.794496593167124e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.179878138418751 y[1] (closed_form) = 1.237925009022212 y[1] (numeric) = 1.237925009018691 absolute error = 3.521183344901146e-12 relative error = 2.844423789194137e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3523 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.169983704361539 y[1] (closed_form) = 1.219666623049438 y[1] (numeric) = 1.219666623045908 absolute error = 3.530065129098148e-12 relative error = 2.894286899703953e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3592 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.159891381623183 y[1] (closed_form) = 1.201121782568163 y[1] (numeric) = 1.201121782564624 absolute error = 3.539391002504999e-12 relative error = 2.946737836139559e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3662 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.149996947565972 y[1] (closed_form) = 1.183019545932069 y[1] (numeric) = 1.183019545928521 absolute error = 3.548494831306925e-12 relative error = 2.999523417435307e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.139904624827616 y[1] (closed_form) = 1.164637673729511 y[1] (numeric) = 1.164637673725953 absolute error = 3.558264793923627e-12 relative error = 3.055254757927433e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.130010190770404 y[1] (closed_form) = 1.14669881749794 y[1] (numeric) = 1.146698817494374 absolute error = 3.566480444305853e-12 relative error = 3.110215507231269e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3859 Order of pole (three term test) = 32.82 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.119917868032049 y[1] (closed_form) = 1.128487256344368 y[1] (numeric) = 1.128487256340792 absolute error = 3.575806317712704e-12 relative error = 3.168672306762422e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.109825545293693 y[1] (closed_form) = 1.110364462348898 y[1] (numeric) = 1.110364462345313 absolute error = 3.58491014651463e-12 relative error = 3.228588691438311e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3984 Order of pole (three term test) = 32.8 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.099931111236481 y[1] (closed_form) = 1.092684970955409 y[1] (numeric) = 1.092684970951815 absolute error = 3.593791930711632e-12 relative error = 3.288955212378674e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4043 Order of pole (three term test) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.089838788498125 y[1] (closed_form) = 1.074743409357275 y[1] (numeric) = 1.074743409353672 absolute error = 3.603561893328333e-12 relative error = 3.352950910844252e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4101 Order of pole (three term test) = 32.79 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.079944354440914 y[1] (closed_form) = 1.057245119041496 y[1] (numeric) = 1.057245119037883 absolute error = 3.612665722130259e-12 relative error = 3.417055947636365e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.069852031702558 y[1] (closed_form) = 1.039491956725749 y[1] (numeric) = 1.039491956722128 absolute error = 3.621325461722336e-12 relative error = 3.483745533855781e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4212 Order of pole (three term test) = 32.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.059957597645346 y[1] (closed_form) = 1.022181857304846 y[1] (numeric) = 1.022181857301216 absolute error = 3.629985201314412e-12 relative error = 3.551212707771468e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4265 Order of pole (three term test) = 32.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.049865274906991 y[1] (closed_form) = 1.004624185899098 y[1] (numeric) = 1.004624185895458 absolute error = 3.639977208536038e-12 relative error = 3.623222752972453e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.039970840849779 y[1] (closed_form) = 0.9875091920160405 y[1] (numeric) = 0.9875091920123921 absolute error = 3.648414903523189e-12 relative error = 3.694562980294696e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4366 Order of pole (three term test) = 32.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.029878518111423 y[1] (closed_form) = 0.9701540250576572 y[1] (numeric) = 0.9701540250540003 absolute error = 3.656963620812803e-12 relative error = 3.76946703962339e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4414 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.019984084054212 y[1] (closed_form) = 0.9532409734191133 y[1] (numeric) = 0.9532409734154477 absolute error = 3.665623360404879e-12 relative error = 3.84543201836668e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.009891761315856 y[1] (closed_form) = 0.9360952435536155 y[1] (numeric) = 0.9360952435499412 absolute error = 3.674283099996956e-12 relative error = 3.925116728559158e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9999973272586441 y[1] (closed_form) = 0.9193908901989785 y[1] (numeric) = 0.9193908901952961 absolute error = 3.682387728076719e-12 relative error = 4.005247134088702e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4546 Order of pole (three term test) = 32.71 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9899050045202826 y[1] (closed_form) = 0.902461446410732 y[1] (numeric) = 0.9024614464070502 absolute error = 3.681832616564407e-12 relative error = 4.079767209123209e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4588 Order of pole (three term test) = 32.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9800105704630655 y[1] (closed_form) = 0.8859724640133653 y[1] (numeric) = 0.8859724640096843 absolute error = 3.680944438144707e-12 relative error = 4.15469395230457e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4626 Order of pole (three term test) = 32.69 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.969918247724704 y[1] (closed_form) = 0.8692660688897349 y[1] (numeric) = 0.8692660688860548 absolute error = 3.680056259725006e-12 relative error = 4.233521117907359e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4663 Order of pole (three term test) = 32.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9598259249863426 y[1] (closed_form) = 0.8526748436685128 y[1] (numeric) = 0.8526748436648336 absolute error = 3.679168081305306e-12 relative error = 4.314854728768832e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 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] = -0.9499314909291254 y[1] (closed_form) = 0.8365223711215095 y[1] (numeric) = 0.8365223711178306 absolute error = 3.678946036700381e-12 relative error = 4.397905141219462e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4732 Order of pole (three term test) = 32.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.939839168190764 y[1] (closed_form) = 0.8201642031341914 y[1] (numeric) = 0.8201642031305134 absolute error = 3.677946835978219e-12 relative error = 4.484403027982983e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9299447341335468 y[1] (closed_form) = 0.8042434328102245 y[1] (numeric) = 0.8042434328065475 absolute error = 3.676947635256056e-12 relative error = 4.571933677354251e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4793 Order of pole (three term test) = 32.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9198524113951854 y[1] (closed_form) = 0.7881248564439627 y[1] (numeric) = 0.7881248564402865 absolute error = 3.676170479138818e-12 relative error = 4.664451893733923e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9099579773379682 y[1] (closed_form) = 0.7724421480085609 y[1] (numeric) = 0.7724421480048858 absolute error = 3.675171278416656e-12 relative error = 4.75785958584943e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4846 Order of pole (three term test) = 32.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8998656545996068 y[1] (closed_form) = 0.7565696019439222 y[1] (numeric) = 0.7565696019402479 absolute error = 3.674283099996956e-12 relative error = 4.856503738131019e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8899712205423896 y[1] (closed_form) = 0.7411312199670911 y[1] (numeric) = 0.7411312199634176 absolute error = 3.673505943879718e-12 relative error = 4.956620157011919e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4891 Order of pole (three term test) = 32.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8798788978040282 y[1] (closed_form) = 0.725511044606079 y[1] (numeric) = 0.7255110446024065 absolute error = 3.672506743157555e-12 relative error = 5.061958422909423e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.869984463746811 y[1] (closed_form) = 0.7103231560598732 y[1] (numeric) = 0.7103231560562016 absolute error = 3.671618564737855e-12 relative error = 5.168941112808625e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4929 Order of pole (three term test) = 32.58 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8598921410084496 y[1] (closed_form) = 0.6949615909932092 y[1] (numeric) = 0.6949615909895386 absolute error = 3.670619364015693e-12 relative error = 5.281758605924971e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4945 Order of pole (three term test) = 32.57 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8499977069512324 y[1] (closed_form) = 0.6800302627882918 y[1] (numeric) = 0.680030262784622 absolute error = 3.669842207898455e-12 relative error = 5.396586606088965e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4958 Order of pole (three term test) = 32.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.839905384212871 y[1] (closed_form) = 0.6649334443029669 y[1] (numeric) = 0.6649334442992981 absolute error = 3.66873198487383e-12 relative error = 5.517442409171748e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8300109501556538 y[1] (closed_form) = 0.6502646408651379 y[1] (numeric) = 0.6502646408614702 absolute error = 3.667732784151667e-12 relative error = 5.640369402943346e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8199186274172924 y[1] (closed_form) = 0.6354385994932286 y[1] (numeric) = 0.6354385994895612 absolute error = 3.66739971724428e-12 relative error = 5.771446242279086e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4988 Order of pole (three term test) = 32.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8098263046789309 y[1] (closed_form) = 0.6207515443133865 y[1] (numeric) = 0.62075154430972 absolute error = 3.666511538824579e-12 relative error = 5.906568533599234e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7999318706217138 y[1] (closed_form) = 0.6064888384906215 y[1] (numeric) = 0.6064888384869559 absolute error = 3.665623360404879e-12 relative error = 6.044007948320326e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 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] = -0.7898395478833523 y[1] (closed_form) = 0.5920814314446662 y[1] (numeric) = 0.5920814314410012 absolute error = 3.664957226590104e-12 relative error = 6.18995467844294e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7799451138261352 y[1] (closed_form) = 0.5780957254841499 y[1] (numeric) = 0.5780957254804859 absolute error = 3.663958025867942e-12 relative error = 6.337978062023223e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5 Order of pole (three term test) = 32.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7698527910877737 y[1] (closed_form) = 0.5639737217138291 y[1] (numeric) = 0.5639737217101658 absolute error = 3.663291892053167e-12 relative error = 6.495501033134998e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7599583570305566 y[1] (closed_form) = 0.5502706023057957 y[1] (numeric) = 0.5502706023021328 absolute error = 3.662958825145779e-12 relative error = 6.656650036903486e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4994 Order of pole (three term test) = 32.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7498660342921951 y[1] (closed_form) = 0.5364396429464787 y[1] (numeric) = 0.536439642942816 absolute error = 3.662736780540854e-12 relative error = 6.827863728382747e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.739971600234978 y[1] (closed_form) = 0.5230245838999439 y[1] (numeric) = 0.5230245838962817 absolute error = 3.662181669028541e-12 relative error = 7.001930275860852e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7298792774966165 y[1] (closed_form) = 0.5094901938272285 y[1] (numeric) = 0.5094901938235666 absolute error = 3.661848602121154e-12 relative error = 7.187279846573281e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4969 Order of pole (three term test) = 32.44 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7199848434393994 y[1] (closed_form) = 0.4963685538834368 y[1] (numeric) = 0.4963685538797762 absolute error = 3.660571845642835e-12 relative error = 7.374705381724189e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4957 Order of pole (three term test) = 32.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7098925207010379 y[1] (closed_form) = 0.4831361395061995 y[1] (numeric) = 0.4831361395025395 absolute error = 3.659961222979291e-12 relative error = 7.575424241125989e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4943 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6999980866438208 y[1] (closed_form) = 0.4703131601980379 y[1] (numeric) = 0.4703131601943787 absolute error = 3.659239578013285e-12 relative error = 7.780432034843473e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4927 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6899057639054593 y[1] (closed_form) = 0.4573880072988042 y[1] (numeric) = 0.4573880072951458 absolute error = 3.658406910744816e-12 relative error = 7.998475806898097e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4909 Order of pole (three term test) = 32.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6800113298482422 y[1] (closed_form) = 0.4448688108570331 y[1] (numeric) = 0.4448688108533753 absolute error = 3.657796288081272e-12 relative error = 8.222190899457712e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4889 Order of pole (three term test) = 32.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6699190071098807 y[1] (closed_form) = 0.4322560824805352 y[1] (numeric) = 0.4322560824768784 absolute error = 3.656741576207878e-12 relative error = 8.459664824664541e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4867 Order of pole (three term test) = 32.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6598266843715193 y[1] (closed_form) = 0.4198030352712991 y[1] (numeric) = 0.4198030352676432 absolute error = 3.65596442009064e-12 relative error = 8.70876128308115e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4843 Order of pole (three term test) = 32.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6499322503143021 y[1] (closed_form) = 0.407750404178437 y[1] (numeric) = 0.4077504041747817 absolute error = 3.655298286275865e-12 relative error = 8.964548529733053e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4818 Order of pole (three term test) = 32.37 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6398399275759407 y[1] (closed_form) = 0.3956173157406039 y[1] (numeric) = 0.395617315736949 absolute error = 3.654909708217247e-12 relative error = 9.238497817961226e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.479 Order of pole (three term test) = 32.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6299454935187235 y[1] (closed_form) = 0.3838807613609068 y[1] (numeric) = 0.3838807613572527 absolute error = 3.654077040948778e-12 relative error = 9.518781373660415e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.476 Order of pole (three term test) = 32.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6198531707803621 y[1] (closed_form) = 0.3720724783433963 y[1] (numeric) = 0.3720724783397429 absolute error = 3.653355395982771e-12 relative error = 9.818934773807661e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4728 Order of pole (three term test) = 32.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6099587367231449 y[1] (closed_form) = 0.3606566889274198 y[1] (numeric) = 0.3606566889237672 absolute error = 3.652578239865534e-12 relative error = 1.012757659015884e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4695 Order of pole (three term test) = 32.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5998664139847835 y[1] (closed_form) = 0.3491779282333046 y[1] (numeric) = 0.3491779282296529 absolute error = 3.651690061445834e-12 relative error = 1.045796359443986e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.466 Order of pole (three term test) = 32.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5899719799275663 y[1] (closed_form) = 0.3380874638997464 y[1] (numeric) = 0.338087463896095 absolute error = 3.651468016840909e-12 relative error = 1.080036501419551e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4623 Order of pole (three term test) = 32.31 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5798796571892049 y[1] (closed_form) = 0.3269428108020516 y[1] (numeric) = 0.3269428107984008 absolute error = 3.650801883026134e-12 relative error = 1.116648466461164e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 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] = -0.5699852231319877 y[1] (closed_form) = 0.3161821017161782 y[1] (numeric) = 0.3161821017125283 absolute error = 3.649913704606433e-12 relative error = 1.154370751789989e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4543 Order of pole (three term test) = 32.29 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5598929003936263 y[1] (closed_form) = 0.3053760080262604 y[1] (numeric) = 0.3053760080226109 absolute error = 3.649469615396583e-12 relative error = 1.19507411174317e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5499984663364091 y[1] (closed_form) = 0.2949493526302489 y[1] (numeric) = 0.2949493526266002 absolute error = 3.648747970430577e-12 relative error = 1.237076107437564e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4456 Order of pole (three term test) = 32.27 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5399061435980477 y[1] (closed_form) = 0.2844861349194884 y[1] (numeric) = 0.2844861349158403 absolute error = 3.648081836615802e-12 relative error = 1.282340820457994e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 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] = -0.5300117095408305 y[1] (closed_form) = 0.2743976982153802 y[1] (numeric) = 0.2743976982117325 absolute error = 3.647637747405952e-12 relative error = 1.329325198837072e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4362 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5199193868024691 y[1] (closed_form) = 0.2642815360908967 y[1] (numeric) = 0.2642815360872496 absolute error = 3.647082635893639e-12 relative error = 1.379999030518449e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4312 Order of pole (three term test) = 32.25 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5098270640641076 y[1] (closed_form) = 0.2543421640322254 y[1] (numeric) = 0.254342164028579 absolute error = 3.646472013230095e-12 relative error = 1.433687578740615e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4999326300068905 y[1] (closed_form) = 0.2447702824119369 y[1] (numeric) = 0.244770282408291 absolute error = 3.645916901717783e-12 relative error = 1.489525961154825e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4207 Order of pole (three term test) = 32.23 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.489840307268529 y[1] (closed_form) = 0.2351839942142782 y[1] (numeric) = 0.2351839942106327 absolute error = 3.645417301356702e-12 relative error = 1.550027804203091e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 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] = -0.4799458732113119 y[1] (closed_form) = 0.2259601677923831 y[1] (numeric) = 0.2259601677887382 absolute error = 3.64491770099562e-12 relative error = 1.613079746136782e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4096 Order of pole (three term test) = 32.21 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4698535504729504 y[1] (closed_form) = 0.216730792767093 y[1] (numeric) = 0.2167307927634487 absolute error = 3.644223811605229e-12 relative error = 1.681451797909238e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4037 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4599591164157333 y[1] (closed_form) = 0.2078587060669999 y[1] (numeric) = 0.207858706063356 absolute error = 3.643807477970995e-12 relative error = 1.753021341716846e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3978 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4498667936773718 y[1] (closed_form) = 0.1989899309539163 y[1] (numeric) = 0.1989899309502729 absolute error = 3.643391144336761e-12 relative error = 1.830942463707135e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3916 Order of pole (three term test) = 32.19 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4399723596201547 y[1] (closed_form) = 0.1904731279940868 y[1] (numeric) = 0.190473127990444 absolute error = 3.642780521673217e-12 relative error = 1.912490522960439e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3854 Order of pole (three term test) = 32.18 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4298800368817932 y[1] (closed_form) = 0.1819684954888343 y[1] (numeric) = 0.1819684954851919 absolute error = 3.642419699190214e-12 relative error = 2.001675998587192e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3788 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4199856028245761 y[1] (closed_form) = 0.1738103783671003 y[1] (numeric) = 0.1738103783634585 absolute error = 3.64180907652667e-12 relative error = 2.095277112184234e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3723 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4098932800862146 y[1] (closed_form) = 0.1656732857059354 y[1] (numeric) = 0.165673285702294 absolute error = 3.641392742892435e-12 relative error = 2.197935972221729e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3655 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3999988460289975 y[1] (closed_form) = 0.1578771132405067 y[1] (numeric) = 0.1578771132368655 absolute error = 3.641198453863126e-12 relative error = 2.306349779981219e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3587 Order of pole (three term test) = 32.15 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.389906523290636 y[1] (closed_form) = 0.1501108108432678 y[1] (numeric) = 0.1501108108396271 absolute error = 3.640698853502045e-12 relative error = 2.425340875217398e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3516 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3800120892334189 y[1] (closed_form) = 0.1426796972709723 y[1] (numeric) = 0.1426796972673321 absolute error = 3.640199253140963e-12 relative error = 2.551308506232407e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3699197664950574 y[1] (closed_form) = 0.1352872874426759 y[1] (numeric) = 0.1352872874390361 absolute error = 3.639866186233576e-12 relative error = 2.690471702875899e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3371 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.359827443756696 y[1] (closed_form) = 0.128084806275063 y[1] (numeric) = 0.1280848062714233 absolute error = 3.639727408355498e-12 relative error = 2.841654302493269e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3296 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3499330096994788 y[1] (closed_form) = 0.1212086368665607 y[1] (numeric) = 0.1212086368629217 absolute error = 3.639019641177299e-12 relative error = 3.002277506992771e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 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] = -0.3398406869611174 y[1] (closed_form) = 0.1143844351873238 y[1] (numeric) = 0.1143844351836849 absolute error = 3.638866985511413e-12 relative error = 3.181260614306619e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3143 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3299462529039002 y[1] (closed_form) = 0.1078804829325478 y[1] (numeric) = 0.1078804829289094 absolute error = 3.638450651877179e-12 relative error = 3.372668116578712e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3065 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3198539301655388 y[1] (closed_form) = 0.1014372867178359 y[1] (numeric) = 0.1014372867141978 absolute error = 3.638103707181983e-12 relative error = 3.586554633802413e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2985 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3099594961083216 y[1] (closed_form) = 0.09530814966701318 y[1] (numeric) = 0.09530814966337553 absolute error = 3.637645740184325e-12 relative error = 3.816720556314965e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2905 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2998671733699602 y[1] (closed_form) = 0.0892485326976189 y[1] (numeric) = 0.08924853269398164 absolute error = 3.637257162125707e-12 relative error = 4.075425166315084e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 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] = -0.289972739312743 y[1] (closed_form) = 0.08349665917836369 y[1] (numeric) = 0.08349665917472679 absolute error = 3.636896339642703e-12 relative error = 4.355738751024334e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2798804165743816 y[1] (closed_form) = 0.07782304201160795 y[1] (numeric) = 0.07782304200797117 absolute error = 3.636771439552433e-12 relative error = 4.673129378584274e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2699859825171644 y[1] (closed_form) = 0.07245072965091925 y[1] (numeric) = 0.072450729647283 absolute error = 3.636257961403544e-12 relative error = 5.018939048541945e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.259893659778803 y[1] (closed_form) = 0.0671653786537415 y[1] (numeric) = 0.06716537865010548 absolute error = 3.636022039010811e-12 relative error = 5.413536128122853e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2499992257215858 y[1] (closed_form) = 0.06217477346020095 y[1] (numeric) = 0.062174773456565 absolute error = 3.635952650071772e-12 relative error = 5.847954801796267e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2397 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2399069029832244 y[1] (closed_form) = 0.0572797999038438 y[1] (numeric) = 0.05727979990020814 absolute error = 3.635654277633904e-12 relative error = 6.347183970155474e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2308 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2300124689260072 y[1] (closed_form) = 0.05267289541037457 y[1] (numeric) = 0.05267289540673933 absolute error = 3.635231005105766e-12 relative error = 6.901521127296456e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.222 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2199201461876458 y[1] (closed_form) = 0.04817025462702107 y[1] (numeric) = 0.04817025462338602 absolute error = 3.635050593864264e-12 relative error = 7.546255717372076e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2098278234492843 y[1] (closed_form) = 0.04386641573251826 y[1] (numeric) = 0.04386641572888345 absolute error = 3.634807732577627e-12 relative error = 8.286083264111175e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2037 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1999333893920672 y[1] (closed_form) = 0.03984038169626158 y[1] (numeric) = 0.03984038169262698 absolute error = 3.63459956576051e-12 relative error = 9.122903473842877e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1946 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1898410666537057 y[1] (closed_form) = 0.03593152261863886 y[1] (numeric) = 0.03593152261500451 absolute error = 3.634342826686066e-12 relative error = 1.01146362909787e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1853 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1799466325964886 y[1] (closed_form) = 0.03229350853886048 y[1] (numeric) = 0.03229350853522634 absolute error = 3.634141598762852e-12 relative error = 1.125347403608901e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1761 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1698543098581271 y[1] (closed_form) = 0.02878119069982243 y[1] (numeric) = 0.0287811906961882 absolute error = 3.634238743277507e-12 relative error = 1.262713131357671e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1666 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.15995987580091 y[1] (closed_form) = 0.02553264980725567 y[1] (numeric) = 0.02553264980362186 absolute error = 3.633808531855465e-12 relative error = 1.423200709400259e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1572 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1498675530625485 y[1] (closed_form) = 0.02241827622727322 y[1] (numeric) = 0.0224182762236396 absolute error = 3.633617712273107e-12 relative error = 1.620828325708909e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1476 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1399731190053314 y[1] (closed_form) = 0.01956050617480287 y[1] (numeric) = 0.01956050617116951 absolute error = 3.633357503751711e-12 relative error = 1.857496667663983e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1382 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1298807962669699 y[1] (closed_form) = 0.01684532091266877 y[1] (numeric) = 0.01684532090903533 absolute error = 3.633440770478558e-12 relative error = 2.156943633971363e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1284 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1199863622097531 y[1] (closed_form) = 0.01437946325697326 y[1] (numeric) = 0.01437946325334009 absolute error = 3.633164949445877e-12 relative error = 2.526634606951682e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1098940394713924 y[1] (closed_form) = 0.01206455091285197 y[1] (numeric) = 0.01206455090921866 absolute error = 3.633308931494383e-12 relative error = 3.011557543865092e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.109 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.09999960541417595 y[1] (closed_form) = 0.009991590658401495 y[1] (numeric) = 0.009991590654768042 absolute error = 3.633452913542889e-12 relative error = 3.636510979848515e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.08990728267581519 y[1] (closed_form) = 0.008077875940578738 y[1] (numeric) = 0.008077875936945301 absolute error = 3.633437301031606e-12 relative error = 4.498010773821427e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08942 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.08001284861859875 y[1] (closed_form) = 0.006398641146166728 y[1] (numeric) = 0.00639864114253322 absolute error = 3.633508424694121e-12 relative error = 5.678562591169639e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.06992052588023799 y[1] (closed_form) = 0.004886888501668518 y[1] (numeric) = 0.004886888498034977 absolute error = 3.633541384440164e-12 relative error = 7.435286037730498e-08 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.05982820314187723 y[1] (closed_form) = 0.003578346334916493 y[1] (numeric) = 0.003578346331283118 absolute error = 3.633375284667339e-12 relative error = 1.015378318530515e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05969 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.0499337690846608 y[1] (closed_form) = 0.002492863258867106 y[1] (numeric) = 0.002492863255233578 absolute error = 3.633528374014094e-12 relative error = 1.45757227601219e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.04985 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.03984144634630003 y[1] (closed_form) = 0.001587130887160892 y[1] (numeric) = 0.00158713088352741 absolute error = 3.633482620682416e-12 relative error = 2.28934024917258e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.0398 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.02994701228908358 y[1] (closed_form) = 0.0008967565226737362 y[1] (numeric) = 0.0008967565190400152 absolute error = 3.633720928319928e-12 relative error = 4.05207080901487e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.01985468955072264 y[1] (closed_form) = 0.0003941957472842761 y[1] (numeric) = 0.0003941957436508007 absolute error = 3.63347535652786e-12 relative error = 9.217439258439189e-07 % Desired digits = 8 Estimated correct digits = 7 Correct digits = 9 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.01985 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.009960255493506029 y[1] (closed_form) = 9.920586933465092e-05 y[1] (numeric) = 9.920586570116253e-05 absolute error = 3.633488394058984e-12 relative error = 3.662574017472844e-06 % Desired digits = 8 Estimated correct digits = 7 Correct digits = 8 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.0001320672448549011 y[1] (closed_form) = 1.744175726070551e-08 y[1] (numeric) = 1.743812360840994e-08 absolute error = 3.633652295572861e-12 relative error = 0.02083306309828716 % Desired digits = 8 Estimated correct digits = 3 Correct digits = 4 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.0100265013020715 y[1] (closed_form) = 0.0001005298861609383 y[1] (numeric) = 0.000100529882527455 absolute error = 3.633483257651192e-12 relative error = 3.614331415669117e-06 % Desired digits = 8 Estimated correct digits = 7 Correct digits = 8 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.02011882404043244 y[1] (closed_form) = 0.000404753427921567 y[1] (numeric) = 0.0004047534242880874 absolute error = 3.633479584916333e-12 relative error = 8.977019919446926e-07 % Desired digits = 8 Estimated correct digits = 7 Correct digits = 9 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.03001325809764905 y[1] (closed_form) = 0.0009007280442644428 y[1] (numeric) = 0.0009007280406309053 absolute error = 3.633537481312343e-12 relative error = 4.034000611449355e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.03 Order of pole (three term test) = 32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.04010558083600983 y[1] (closed_form) = 0.001608242031094664 y[1] (numeric) = 0.001608242027460972 absolute error = 3.633692522223009e-12 relative error = 2.259418950610129e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.05000001489322627 y[1] (closed_form) = 0.002499480698769929 y[1] (numeric) = 0.002499480695136373 absolute error = 3.633555695908841e-12 relative error = 1.45372424667933e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.06009233763158703 y[1] (closed_form) = 0.003610002509149002 y[1] (numeric) = 0.003610002505515579 absolute error = 3.633422989562929e-12 relative error = 1.006487663195405e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.06998677168880346 y[1] (closed_form) = 0.004896149216499279 y[1] (numeric) = 0.004896149212866001 absolute error = 3.633278573833554e-12 relative error = 7.420685957833876e-08 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.08007909442716422 y[1] (closed_form) = 0.006409235244551059 y[1] (numeric) = 0.006409235240917702 absolute error = 3.633357503751711e-12 relative error = 5.668940778606438e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.09017141716552499 y[1] (closed_form) = 0.008125376693071007 y[1] (numeric) = 0.008125376689437512 absolute error = 3.633494546906313e-12 relative error = 4.471785966556861e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1000658512227414 y[1] (closed_form) = 0.01000482206377196 y[1] (numeric) = 0.01000482206013855 absolute error = 3.633406076009038e-12 relative error = 3.631654868871495e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1101581739611022 y[1] (closed_form) = 0.01212255709162402 y[1] (numeric) = 0.01212255708799062 absolute error = 3.63340087183861e-12 relative error = 2.997223147209658e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1093 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1200526080183186 y[1] (closed_form) = 0.01439532668395049 y[1] (numeric) = 0.01439532668031714 absolute error = 3.633355769028235e-12 relative error = 2.523982851378498e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1189 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1301449307566797 y[1] (closed_form) = 0.0169138093467377 y[1] (numeric) = 0.01691380934310421 absolute error = 3.633489342735885e-12 relative error = 2.148238323046195e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1287 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1400393648138969 y[1] (closed_form) = 0.01957899528662743 y[1] (numeric) = 0.01957899528299381 absolute error = 3.633621181720059e-12 relative error = 1.855877244222968e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1382 Order of pole (three term test) = 32.02 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1501316875522583 y[1] (closed_form) = 0.02249721955844464 y[1] (numeric) = 0.02249721955481079 absolute error = 3.633846695771936e-12 relative error = 1.615242579791565e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600261216094755 y[1] (closed_form) = 0.02555375721831943 y[1] (numeric) = 0.02555375721468549 absolute error = 3.633940370839639e-12 relative error = 1.422076737989228e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1701184443478369 y[1] (closed_form) = 0.02887055739361777 y[1] (numeric) = 0.02887055738998366 absolute error = 3.634110373740285e-12 relative error = 1.258760031610493e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1669 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1800128784050541 y[1] (closed_form) = 0.03231722581765706 y[1] (numeric) = 0.03231722581402301 absolute error = 3.634044454248198e-12 relative error = 1.124491463083034e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1761 Order of pole (three term test) = 32.03 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1901052011434155 y[1] (closed_form) = 0.03603127697689379 y[1] (numeric) = 0.03603127697325947 absolute error = 3.634322010004354e-12 relative error = 1.00865756501913e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1856 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1999996352006327 y[1] (closed_form) = 0.03986669936875487 y[1] (numeric) = 0.03986669936512012 absolute error = 3.634745282532492e-12 relative error = 9.117246574420928e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1947 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100919579389941 y[1] (closed_form) = 0.04397651790764112 y[1] (numeric) = 0.04397651790400629 absolute error = 3.634828549259339e-12 relative error = 8.265385078675752e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.204 Order of pole (three term test) = 32.04 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2199863919962113 y[1] (closed_form) = 0.04819916218042841 y[1] (numeric) = 0.04819916217679319 absolute error = 3.635217127317958e-12 relative error = 7.542075345023449e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.213 Order of pole (three term test) = 32.05 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300787147345727 y[1] (closed_form) = 0.05270310640256681 y[1] (numeric) = 0.0527031063989313 absolute error = 3.635515499755826e-12 relative error = 6.898104775810263e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2401710374729342 y[1] (closed_form) = 0.05740539082395557 y[1] (numeric) = 0.05740539082031999 absolute error = 3.635577949800961e-12 relative error = 6.333164703904106e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500654715301513 y[1] (closed_form) = 0.06220755656350674 y[1] (numeric) = 0.06220755655987087 absolute error = 3.635869383344925e-12 relative error = 5.844739102769809e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2398 Order of pole (three term test) = 32.06 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2601577942685128 y[1] (closed_form) = 0.06730119946808033 y[1] (numeric) = 0.06730119946444423 absolute error = 3.636105305737658e-12 relative error = 5.402734772152453e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2486 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700522283257299 y[1] (closed_form) = 0.07248607176989441 y[1] (numeric) = 0.07248607176625776 absolute error = 3.636646539462163e-12 relative error = 5.017028031270097e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2571 Order of pole (three term test) = 32.07 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2801445510640914 y[1] (closed_form) = 0.07796903846557823 y[1] (numeric) = 0.07796903846194141 absolute error = 3.636826950703664e-12 relative error = 4.664450174423082e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2657 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900389851213085 y[1] (closed_form) = 0.08353454619534528 y[1] (numeric) = 0.08353454619170836 absolute error = 3.636924095218319e-12 relative error = 4.353796436163528e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.274 Order of pole (three term test) = 32.08 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.30013130785967 y[1] (closed_form) = 0.08940464647189372 y[1] (numeric) = 0.08940464646825617 absolute error = 3.637548595669671e-12 relative error = 4.068634840822521e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2824 Order of pole (three term test) = 32.09 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100257419168871 y[1] (closed_form) = 0.09534856644776191 y[1] (numeric) = 0.09534856644412416 absolute error = 3.63774288469898e-12 relative error = 3.815204591137687e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3201180646552486 y[1] (closed_form) = 0.1016034554516514 y[1] (numeric) = 0.1016034554480134 absolute error = 3.637992684879521e-12 relative error = 3.58057968472409e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2987 Order of pole (three term test) = 32.1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300124987124657 y[1] (closed_form) = 0.1079234133322914 y[1] (numeric) = 0.107923413328653 absolute error = 3.638353507362524e-12 relative error = 3.371236504687074e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3401048214508272 y[1] (closed_form) = 0.1145605925033913 y[1] (numeric) = 0.1145605924997528 absolute error = 3.638561674179641e-12 relative error = 3.176102353059957e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3145 Order of pole (three term test) = 32.11 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3499992555080443 y[1] (closed_form) = 0.1212540637364442 y[1] (numeric) = 0.1212540637328052 absolute error = 3.639033518965107e-12 relative error = 3.001164172835352e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 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] = 0.3600915782464058 y[1] (closed_form) = 0.1282708818060838 y[1] (numeric) = 0.1282708818024443 absolute error = 3.639533119326188e-12 relative error = 2.837380602737516e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3298 Order of pole (three term test) = 32.12 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3699860123036229 y[1] (closed_form) = 0.1353351926366112 y[1] (numeric) = 0.1353351926329715 absolute error = 3.639727408355498e-12 relative error = 2.68941680094145e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3371 Order of pole (three term test) = 32.13 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800783350419843 y[1] (closed_form) = 0.1427288466866469 y[1] (numeric) = 0.1427288466830063 absolute error = 3.640532320048351e-12 relative error = 2.550663306374873e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3445 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3901706577803458 y[1] (closed_form) = 0.1503116714439439 y[1] (numeric) = 0.1503116714403031 absolute error = 3.640782120228891e-12 relative error = 2.422155302548584e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3518 Order of pole (three term test) = 32.14 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4000650918375629 y[1] (closed_form) = 0.157928711807644 y[1] (numeric) = 0.1579287118040029 absolute error = 3.641115187136279e-12 relative error = 2.305543523695128e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4101574145759244 y[1] (closed_form) = 0.1658838709285765 y[1] (numeric) = 0.1658838709249349 absolute error = 3.64161478749736e-12 relative error = 2.19527960561356e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3657 Order of pole (three term test) = 32.16 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200518486331415 y[1] (closed_form) = 0.1738644054742845 y[1] (numeric) = 0.1738644054706424 absolute error = 3.642086632282826e-12 relative error = 2.094785659173643e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.430144171371503 y[1] (closed_form) = 0.1821887212136674 y[1] (numeric) = 0.1821887212100247 absolute error = 3.642613988219523e-12 relative error = 1.999363058236485e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.379 Order of pole (three term test) = 32.17 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400386054287201 y[1] (closed_form) = 0.1905295620598033 y[1] (numeric) = 0.1905295620561603 absolute error = 3.643002566278142e-12 relative error = 1.912040591965817e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4501309281670816 y[1] (closed_form) = 0.1992197092102012 y[1] (numeric) = 0.1992197092065575 absolute error = 3.643668700092917e-12 relative error = 1.828969992245296e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600253622242987 y[1] (closed_form) = 0.2079175245482578 y[1] (numeric) = 0.2079175245446137 absolute error = 3.644168300453998e-12 relative error = 1.752698964828327e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3978 Order of pole (three term test) = 32.2 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4701176849626602 y[1] (closed_form) = 0.2169700317682626 y[1] (numeric) = 0.216970031764618 absolute error = 3.644556878512617e-12 relative error = 1.679751276621109e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800121190198773 y[1] (closed_form) = 0.2260213471937195 y[1] (numeric) = 0.2260213471900744 absolute error = 3.645084234449314e-12 relative error = 1.612716798526631e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4901044417582388 y[1] (closed_form) = 0.2354325983946031 y[1] (numeric) = 0.2354325983909575 absolute error = 3.645611590386011e-12 relative error = 1.548473582352299e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4153 Order of pole (three term test) = 32.22 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4999988758154559 y[1] (closed_form) = 0.2448337982948026 y[1] (numeric) = 0.2448337982911565 absolute error = 3.646027924020245e-12 relative error = 1.489184887631441e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100911985538173 y[1] (closed_form) = 0.2546000340849882 y[1] (numeric) = 0.2546000340813419 absolute error = 3.646305479776402e-12 relative error = 1.432170067408249e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5199856326110345 y[1] (closed_form) = 0.2643473630834183 y[1] (numeric) = 0.2643473630797712 absolute error = 3.64713814704487e-12 relative error = 1.379676386593638e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300779553493959 y[1] (closed_form) = 0.2744646822701982 y[1] (numeric) = 0.2744646822665505 absolute error = 3.647693258557183e-12 relative error = 1.329020997669271e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5401702780877574 y[1] (closed_form) = 0.2847577543274609 y[1] (numeric) = 0.2847577543238128 absolute error = 3.648081836615802e-12 relative error = 1.281117645147827e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4411 Order of pole (three term test) = 32.26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500647121449745 y[1] (closed_form) = 0.2950186078744954 y[1] (numeric) = 0.2950186078708469 absolute error = 3.648525925825652e-12 relative error = 1.236710440779308e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.560157034883336 y[1] (closed_form) = 0.3056566283909951 y[1] (numeric) = 0.3056566283873461 absolute error = 3.648970015035502e-12 relative error = 1.193813474369596e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4501 Order of pole (three term test) = 32.28 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700514689405531 y[1] (closed_form) = 0.316253600485351 y[1] (numeric) = 0.3162536004817015 absolute error = 3.649469615396583e-12 relative error = 1.153969349217141e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5801437916789146 y[1] (closed_form) = 0.3272323200277373 y[1] (numeric) = 0.3272323200240871 absolute error = 3.650135749211358e-12 relative error = 1.115456978363861e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900382257361317 y[1] (closed_form) = 0.3381611776331505 y[1] (numeric) = 0.3381611776294996 absolute error = 3.650857394177365e-12 relative error = 1.079620499233637e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6001305484744932 y[1] (closed_form) = 0.3494762106734121 y[1] (numeric) = 0.3494762106697606 absolute error = 3.651468016840909e-12 relative error = 1.044840222401642e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4661 Order of pole (three term test) = 32.32 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100249825317103 y[1] (closed_form) = 0.360732588179578 y[1] (numeric) = 0.3607325881759259 absolute error = 3.652134150655684e-12 relative error = 1.012421464078426e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4696 Order of pole (three term test) = 32.33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6201173052700718 y[1] (closed_form) = 0.3723794148468715 y[1] (numeric) = 0.3723794148432187 absolute error = 3.652800284470459e-12 relative error = 9.809350728940131e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4729 Order of pole (three term test) = 32.34 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300117393272889 y[1] (closed_form) = 0.3839588158133198 y[1] (numeric) = 0.3839588158096663 absolute error = 3.653521929436465e-12 relative error = 9.515400555909626e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.476 Order of pole (three term test) = 32.35 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6401040620656504 y[1] (closed_form) = 0.3959327836994664 y[1] (numeric) = 0.3959327836958123 absolute error = 3.654132552100009e-12 relative error = 9.229173997558348e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.479 Order of pole (three term test) = 32.36 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6499984961228675 y[1] (closed_form) = 0.4078305826516959 y[1] (numeric) = 0.4078305826480412 absolute error = 3.654687663612322e-12 relative error = 8.961288876007553e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.660090818861229 y[1] (closed_form) = 0.4201269086696175 y[1] (numeric) = 0.4201269086659622 absolute error = 3.655353797427097e-12 relative error = 8.700594325181919e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4844 Order of pole (three term test) = 32.38 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6699852529184461 y[1] (closed_form) = 0.4323383529467755 y[1] (numeric) = 0.4323383529431197 absolute error = 3.655797886636947e-12 relative error = 8.455872262359769e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4867 Order of pole (three term test) = 32.39 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800775756568076 y[1] (closed_form) = 0.4449521252411338 y[1] (numeric) = 0.4449521252374771 absolute error = 3.656741576207878e-12 relative error = 8.218280953768167e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4889 Order of pole (three term test) = 32.4 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6901698983951691 y[1] (closed_form) = 0.4577242855585705 y[1] (numeric) = 0.457724285554913 absolute error = 3.657463221173884e-12 relative error = 7.990537833732387e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.491 Order of pole (three term test) = 32.41 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000643324523862 y[1] (closed_form) = 0.4703985168037724 y[1] (numeric) = 0.470398516800114 absolute error = 3.658462421896047e-12 relative error = 7.777368106418118e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4927 Order of pole (three term test) = 32.42 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7101566551907477 y[1] (closed_form) = 0.4834804929164626 y[1] (numeric) = 0.4834804929128039 absolute error = 3.658684466500972e-12 relative error = 7.567387971396671e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4943 Order of pole (three term test) = 32.43 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200510892479648 y[1] (closed_form) = 0.4964559186144983 y[1] (numeric) = 0.4964559186108388 absolute error = 3.659572644920672e-12 relative error = 7.37139493700418e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7301434119863263 y[1] (closed_form) = 0.5098424848335571 y[1] (numeric) = 0.5098424848298966 absolute error = 3.660516334491604e-12 relative error = 7.17970048276109e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400378460435434 y[1] (closed_form) = 0.523113921857866 y[1] (numeric) = 0.5231139218542051 absolute error = 3.660849401398991e-12 relative error = 6.998187676591165e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4979 Order of pole (three term test) = 32.45 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7501301687819049 y[1] (closed_form) = 0.5367997308237116 y[1] (numeric) = 0.5367997308200496 absolute error = 3.661959624423616e-12 relative error = 6.821835806073135e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.760024602839122 y[1] (closed_form) = 0.5503618778038928 y[1] (numeric) = 0.5503618778002302 absolute error = 3.662625758238391e-12 relative error = 6.654940877906288e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4994 Order of pole (three term test) = 32.47 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7701169255774835 y[1] (closed_form) = 0.5643414626222895 y[1] (numeric) = 0.5643414626186258 absolute error = 3.663624958960554e-12 relative error = 6.491858567217482e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800113596347006 y[1] (closed_form) = 0.5781889020617711 y[1] (numeric) = 0.578188902058107 absolute error = 3.664069048170404e-12 relative error = 6.337148698469746e-10 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.5 Order of pole (three term test) = 32.49 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7901036823730621 y[1] (closed_form) = 0.5924566784876185 y[1] (numeric) = 0.5924566784839536 absolute error = 3.664957226590104e-12 relative error = 6.186034118048509e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7999981164302792 y[1] (closed_form) = 0.606583878927717 y[1] (numeric) = 0.6065838789240513 absolute error = 3.665734382707342e-12 relative error = 6.043243993209001e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 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] = 0.8100904391686407 y[1] (closed_form) = 0.6211341475957171 y[1] (numeric) = 0.6211341475920501 absolute error = 3.66695562803443e-12 relative error = 5.903645198430102e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4994 Order of pole (three term test) = 32.52 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8199848732258578 y[1] (closed_form) = 0.6355354658252166 y[1] (numeric) = 0.6355354658215492 absolute error = 3.66739971724428e-12 relative error = 5.770566576457401e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4988 Order of pole (three term test) = 32.53 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300771959642192 y[1] (closed_form) = 0.6503624145265245 y[1] (numeric) = 0.6503624145228567 absolute error = 3.66784380645413e-12 relative error = 5.639692153988304e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8401695187025807 y[1] (closed_form) = 0.6653268293679466 y[1] (numeric) = 0.665326829364278 absolute error = 3.668620962571367e-12 relative error = 5.514013264813803e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500639527597978 y[1] (closed_form) = 0.6801298038398533 y[1] (numeric) = 0.680129803836184 absolute error = 3.669287096386142e-12 relative error = 5.394980598806592e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4958 Order of pole (three term test) = 32.56 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8601562754981593 y[1] (closed_form) = 0.6953619440528661 y[1] (numeric) = 0.6953619440491963 absolute error = 3.669842207898455e-12 relative error = 5.277600017206936e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700507095553764 y[1] (closed_form) = 0.7104244247392253 y[1] (numeric) = 0.710424424735555 absolute error = 3.670286297108305e-12 relative error = 5.166328984895969e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8801430322937379 y[1] (closed_form) = 0.7259182057365208 y[1] (numeric) = 0.7259182057328498 absolute error = 3.67095243092308e-12 relative error = 5.056978047820843e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.890037466350955 y[1] (closed_form) = 0.7412341758217358 y[1] (numeric) = 0.7412341758180639 absolute error = 3.67184060934278e-12 relative error = 4.953684987975845e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4891 Order of pole (three term test) = 32.6 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9001297890893165 y[1] (closed_form) = 0.7569834085017247 y[1] (numeric) = 0.7569834084980518 absolute error = 3.672950832367405e-12 relative error = 4.852088950849227e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100242231465336 y[1] (closed_form) = 0.772546749912046 y[1] (numeric) = 0.7725467499083724 absolute error = 3.67361696618218e-12 relative error = 4.755203444452287e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4845 Order of pole (three term test) = 32.62 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9201165458848951 y[1] (closed_form) = 0.7885451431311377 y[1] (numeric) = 0.7885451431274637 absolute error = 3.673950033089568e-12 relative error = 4.659149910556964e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.482 Order of pole (three term test) = 32.63 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300109799421122 y[1] (closed_form) = 0.8043496389785715 y[1] (numeric) = 0.8043496389748966 absolute error = 3.674838211509268e-12 relative error = 4.568707479219953e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4792 Order of pole (three term test) = 32.64 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9401033026804737 y[1] (closed_form) = 0.8205908020642169 y[1] (numeric) = 0.8205908020605409 absolute error = 3.675948434533893e-12 relative error = 4.47963640987317e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4763 Order of pole (three term test) = 32.65 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9499977367376908 y[1] (closed_form) = 0.8366301391299052 y[1] (numeric) = 0.8366301391262289 absolute error = 3.676392523743743e-12 relative error = 4.394286497456557e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4732 Order of pole (three term test) = 32.66 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600900594760523 y[1] (closed_form) = 0.8531075844333964 y[1] (numeric) = 0.8531075844297189 absolute error = 3.677502746768369e-12 relative error = 4.310713928549627e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4698 Order of pole (three term test) = 32.67 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9699844935332694 y[1] (closed_form) = 0.8693753556894781 y[1] (numeric) = 0.8693753556858 absolute error = 3.678057858280681e-12 relative error = 4.230690269985526e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4663 Order of pole (three term test) = 32.68 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800768162716309 y[1] (closed_form) = 0.8860825011774858 y[1] (numeric) = 0.8860825011738067 absolute error = 3.679057059002844e-12 relative error = 4.152047979859512e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9901691390099924 y[1] (closed_form) = 0.9029031037450953 y[1] (numeric) = 0.9029031037414151 absolute error = 3.680167282027469e-12 relative error = 4.075927158476622e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4587 Order of pole (three term test) = 32.7 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000063573067209 y[1] (closed_form) = 0.9195023802302429 y[1] (numeric) = 0.9195023802265624 absolute error = 3.680500348934856e-12 relative error = 4.00270888696695e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.010155895805565 y[1] (closed_form) = 0.9365426052414878 y[1] (numeric) = 0.9365426052378159 absolute error = 3.671951631645243e-12 relative error = 3.92075236203315e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4503 Order of pole (three term test) = 32.72 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.020050329862777 y[1] (closed_form) = 0.9533538717820318 y[1] (numeric) = 0.9533538717783681 absolute error = 3.663735981263017e-12 relative error = 3.842996907763823e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4459 Order of pole (three term test) = 32.73 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.030142652601133 y[1] (closed_form) = 0.9706069123972143 y[1] (numeric) = 0.9706069123935595 absolute error = 3.654854197066015e-12 relative error = 3.765534894079027e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4413 Order of pole (three term test) = 32.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.040037086658344 y[1] (closed_form) = 0.9876234536125548 y[1] (numeric) = 0.9876234536089088 absolute error = 3.645972412869014e-12 relative error = 3.691662444358405e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4365 Order of pole (three term test) = 32.74 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.0501294093967 y[1] (closed_form) = 1.005082417981253 y[1] (numeric) = 1.005082417977617 absolute error = 3.636868584067088e-12 relative error = 3.618477966584947e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4315 Order of pole (three term test) = 32.75 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.060023843453912 y[1] (closed_form) = 1.022297436492345 y[1] (numeric) = 1.022297436488718 absolute error = 3.627764755265162e-12 relative error = 3.548639198111033e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4265 Order of pole (three term test) = 32.76 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.070116166192267 y[1] (closed_form) = 1.039955350506423 y[1] (numeric) = 1.039955350502805 absolute error = 3.61888297106816e-12 relative error = 3.479844561889975e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4211 Order of pole (three term test) = 32.77 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080010600249479 y[1] (closed_form) = 1.057361969651046 y[1] (numeric) = 1.057361969647436 absolute error = 3.610223231476084e-12 relative error = 3.414368338467422e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.4157 Order of pole (three term test) = 32.78 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.090102922987835 y[1] (closed_form) = 1.075211779730509 y[1] (numeric) = 1.075211779726907 absolute error = 3.601341447279083e-12 relative error = 3.349425215729802e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.099997357045046 y[1] (closed_form) = 1.0928030463102 y[1] (numeric) = 1.092803046306607 absolute error = 3.592459663082082e-12 relative error = 3.287380718064303e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110089679783402 y[1] (closed_form) = 1.110837622220796 y[1] (numeric) = 1.110837622217212 absolute error = 3.583355834280155e-12 relative error = 3.225814252776459e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 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] = 1.119984113840614 y[1] (closed_form) = 1.128606509278354 y[1] (numeric) = 1.12860650927478 absolute error = 3.573807916268379e-12 relative error = 3.16656681215982e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3922 Order of pole (three term test) = 32.81 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.13007643657897 y[1] (closed_form) = 1.146818646979801 y[1] (numeric) = 1.146818646976236 absolute error = 3.564704087466453e-12 relative error = 3.108341582040249e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.140168759317325 y[1] (closed_form) = 1.165117684711804 y[1] (numeric) = 1.165117684708249 absolute error = 3.554712080244826e-12 relative error = 3.050946807252434e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3793 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150063193374537 y[1] (closed_form) = 1.183140481129945 y[1] (numeric) = 1.183140481126399 absolute error = 3.545830296047825e-12 relative error = 2.996964732929619e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3728 Order of pole (three term test) = 32.83 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160155516112893 y[1] (closed_form) = 1.201606106155964 y[1] (numeric) = 1.201606106152427 absolute error = 3.536504422640974e-12 relative error = 2.94314784564015e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.366 Order of pole (three term test) = 32.84 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.170049950170104 y[1] (closed_form) = 1.219788615654898 y[1] (numeric) = 1.219788615651372 absolute error = 3.526512415419347e-12 relative error = 2.891084873362243e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3592 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.18014227290846 y[1] (closed_form) = 1.238413451749 y[1] (numeric) = 1.238413451745482 absolute error = 3.517852675827271e-12 relative error = 2.840612455282233e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3521 Order of pole (three term test) = 32.85 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.190036706965672 y[1] (closed_form) = 1.256748411195317 y[1] (numeric) = 1.256748411191808 absolute error = 3.50852680242042e-12 relative error = 2.791749542840793e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.345 Order of pole (three term test) = 32.86 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200129029704027 y[1] (closed_form) = 1.275525018533567 y[1] (numeric) = 1.275525018530069 absolute error = 3.498090705988943e-12 relative error = 2.742471260979729e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3376 Order of pole (three term test) = 32.87 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.210023463761239 y[1] (closed_form) = 1.294005103896633 y[1] (numeric) = 1.294005103893143 absolute error = 3.489430966396867e-12 relative error = 2.696612985442759e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.220115786499595 y[1] (closed_form) = 1.312925982028991 y[1] (numeric) = 1.31292598202551 absolute error = 3.480993271409716e-12 relative error = 2.651324841656496e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3226 Order of pole (three term test) = 32.88 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.230010220556806 y[1] (closed_form) = 1.331543811306588 y[1] (numeric) = 1.331543811303117 absolute error = 3.471001264188089e-12 relative error = 2.606749574978041e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.240102543295162 y[1] (closed_form) = 1.350601402153012 y[1] (numeric) = 1.350601402149551 absolute error = 3.461453346176313e-12 relative error = 2.562897788095261e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.3071 Order of pole (three term test) = 32.89 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.249996977352374 y[1] (closed_form) = 1.36934953832013 y[1] (numeric) = 1.369349538316677 absolute error = 3.452571561979312e-12 relative error = 2.521322325207636e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 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] = 1.26008930009073 y[1] (closed_form) = 1.388536229189708 y[1] (numeric) = 1.388536229186265 absolute error = 3.442579554757685e-12 relative error = 2.479286807494128e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2911 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.269983734147941 y[1] (closed_form) = 1.407407183169317 y[1] (numeric) = 1.407407183165884 absolute error = 3.433475725955759e-12 relative error = 2.439575246606296e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.283 Order of pole (three term test) = 32.91 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.280076056886297 y[1] (closed_form) = 1.426715309801209 y[1] (numeric) = 1.426715309797786 absolute error = 3.423261674129208e-12 relative error = 2.399400672728595e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2746 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.290168379624653 y[1] (closed_form) = 1.446081827837132 y[1] (numeric) = 1.446081827833719 absolute error = 3.413047622302656e-12 relative error = 2.360203659710921e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2661 Order of pole (three term test) = 32.92 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.300062813681864 y[1] (closed_form) = 1.465123393080811 y[1] (numeric) = 1.465123393077407 absolute error = 3.403721748895805e-12 relative error = 2.323163881602201e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2577 Order of pole (three term test) = 32.93 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.31015513642022 y[1] (closed_form) = 1.484599722088542 y[1] (numeric) = 1.484599722085148 absolute error = 3.394173830884029e-12 relative error = 2.286255197535056e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320049570477432 y[1] (closed_form) = 1.503745136645056 y[1] (numeric) = 1.503745136641672 absolute error = 3.384181823662402e-12 relative error = 2.250502256793802e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2404 Order of pole (three term test) = 32.94 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330141893215788 y[1] (closed_form) = 1.523323496665731 y[1] (numeric) = 1.523323496662357 absolute error = 3.373745727230926e-12 relative error = 2.214727032449392e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.340036327272999 y[1] (closed_form) = 1.542565112762357 y[1] (numeric) = 1.542565112758993 absolute error = 3.363753720009299e-12 relative error = 2.180623490171925e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350128650011355 y[1] (closed_form) = 1.562237683080093 y[1] (numeric) = 1.562237683076739 absolute error = 3.354427846602448e-12 relative error = 2.147194298878318e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.2136 Order of pole (three term test) = 32.95 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360023084068567 y[1] (closed_form) = 1.581567814515718 y[1] (numeric) = 1.581567814512373 absolute error = 3.344657883985747e-12 relative error = 2.114773614693147e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370115406806922 y[1] (closed_form) = 1.601326736781656 y[1] (numeric) = 1.601326736778321 absolute error = 3.33510996597397e-12 relative error = 2.082716718186364e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1953 Order of pole (three term test) = 32.96 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.380009840864134 y[1] (closed_form) = 1.62073766199708 y[1] (numeric) = 1.620737661993755 absolute error = 3.324451824937569e-12 relative error = 2.051196750028728e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.39010216360249 y[1] (closed_form) = 1.640575043368458 y[1] (numeric) = 1.640575043365143 absolute error = 3.315125951530717e-12 relative error = 2.02070972914719e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1768 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.399996597659701 y[1] (closed_form) = 1.660059008530828 y[1] (numeric) = 1.660059008527523 absolute error = 3.305578033518941e-12 relative error = 1.991241285118181e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1675 Order of pole (three term test) = 32.97 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.410088920398057 y[1] (closed_form) = 1.679966924823834 y[1] (numeric) = 1.679966924820538 absolute error = 3.29536398169239e-12 relative error = 1.961564798091457e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.419983354455269 y[1] (closed_form) = 1.699516146923969 y[1] (numeric) = 1.699516146920684 absolute error = 3.284927885260913e-12 relative error = 1.932860650489525e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.430075677193624 y[1] (closed_form) = 1.71948664577911 y[1] (numeric) = 1.719486645775836 absolute error = 3.274713833434362e-12 relative error = 1.904471803530971e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1389 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.44016799993198 y[1] (closed_form) = 1.739485716073333 y[1] (numeric) = 1.739485716070068 absolute error = 3.26449978160781e-12 relative error = 1.876703988680633e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.1291 Order of pole (three term test) = 32.98 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.450062433989192 y[1] (closed_form) = 1.759118419799213 y[1] (numeric) = 1.759118419795957 absolute error = 3.255617997410809e-12 relative error = 1.850709969703124e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.460154756727548 y[1] (closed_form) = 1.77916805863781 y[1] (numeric) = 1.779168058634564 absolute error = 3.245181900979333e-12 relative error = 1.8239884002099e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.470049190784759 y[1] (closed_form) = 1.798846415688668 y[1] (numeric) = 1.798846415685433 absolute error = 3.234967849152781e-12 relative error = 1.798356891916373e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.480141513523115 y[1] (closed_form) = 1.818938614100063 y[1] (numeric) = 1.818938614096839 absolute error = 3.22475379732623e-12 relative error = 1.772876650332538e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.490035947580327 y[1] (closed_form) = 1.83865476381549 y[1] (numeric) = 1.838654763812275 absolute error = 3.214983834709528e-12 relative error = 1.748552201305016e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.08041 Order of pole (three term test) = 32.99 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.500128270318682 y[1] (closed_form) = 1.858781495827383 y[1] (numeric) = 1.858781495824178 absolute error = 3.204325693673127e-12 relative error = 1.723885083247407e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.07043 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.510022704375894 y[1] (closed_form) = 1.878527562450415 y[1] (numeric) = 1.878527562447221 absolute error = 3.1943336864515e-12 relative error = 1.700445471390744e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.06062 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.52011502711425 y[1] (closed_form) = 1.898680788295811 y[1] (numeric) = 1.898680788292628 absolute error = 3.183897590020024e-12 relative error = 1.676899882090121e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.05059 Order of pole (three term test) = 33 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.530009461171461 y[1] (closed_form) = 1.918448884118966 y[1] (numeric) = 1.918448884115792 absolute error = 3.174127627403323e-12 relative error = 1.654528120962169e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.540101783909817 y[1] (closed_form) = 1.938620553447719 y[1] (numeric) = 1.938620553444555 absolute error = 3.164579709391546e-12 relative error = 1.632387371403616e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.549996217967029 y[1] (closed_form) = 1.958402781963792 y[1] (numeric) = 1.958402781960638 absolute error = 3.153921568355145e-12 relative error = 1.610456029475481e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.560088540705385 y[1] (closed_form) = 1.978584837058375 y[1] (numeric) = 1.978584837055231 absolute error = 3.144151605738443e-12 relative error = 1.589091125560708e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.0001978886811443317 NO POLE (given) for Equation 1 NO 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] = 1.570092817083786 y[1] (closed_form) = 1.99859298069384 y[1] (numeric) = 1.998592980690705 absolute error = 3.134825732331592e-12 relative error = 1.568516332546756e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.580082635861422 y[1] (closed_form) = 2.018572351197589 y[1] (numeric) = 2.018572351194444 absolute error = 3.145039784158143e-12 relative error = 1.558051551777293e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590072454639059 y[1] (closed_form) = 2.038549868261492 y[1] (numeric) = 2.038549868258337 absolute error = 3.154809746774845e-12 relative error = 1.547575458365077e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600062273416696 y[1] (closed_form) = 2.058523538216262 y[1] (numeric) = 2.058523538213099 absolute error = 3.162803352552146e-12 relative error = 1.536442646311811e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610052092194332 y[1] (closed_form) = 2.078491367776539 y[1] (numeric) = 2.078491367773368 absolute error = 3.170352869119597e-12 relative error = 1.525314426737829e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620041910971969 y[1] (closed_form) = 2.098451364239806 y[1] (numeric) = 2.098451364236626 absolute error = 3.179678742526448e-12 relative error = 1.515250149091891e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630031729749605 y[1] (closed_form) = 2.118401535685258 y[1] (numeric) = 2.11840153568207 absolute error = 3.18856052672345e-12 relative error = 1.505172873513811e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640021548527242 y[1] (closed_form) = 2.138339891172582 y[1] (numeric) = 2.138339891169386 absolute error = 3.196554132500751e-12 relative error = 1.494876537493712e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650011367304879 y[1] (closed_form) = 2.158264440940647 y[1] (numeric) = 2.158264440937442 absolute error = 3.204991827487902e-12 relative error = 1.484985698087606e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660001186082515 y[1] (closed_form) = 2.178173196606071 y[1] (numeric) = 2.178173196602858 absolute error = 3.212985433265203e-12 relative error = 1.475082623489963e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.669991004860152 y[1] (closed_form) = 2.198064171361659 y[1] (numeric) = 2.198064171358437 absolute error = 3.221423128252354e-12 relative error = 1.465572830049245e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680121525310713 y[1] (closed_form) = 2.218215105687606 y[1] (numeric) = 2.218215105684377 absolute error = 3.228972644819805e-12 relative error = 1.45566254442167e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.69011134408835 y[1] (closed_form) = 2.238064245022136 y[1] (numeric) = 2.238064245018899 absolute error = 3.237854429016807e-12 relative error = 1.44672094923923e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700101162865986 y[1] (closed_form) = 2.257889626580768 y[1] (numeric) = 2.257889626577522 absolute error = 3.246292124003958e-12 relative error = 1.437755010602523e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710090981643623 y[1] (closed_form) = 2.277689271876675 y[1] (numeric) = 2.27768927187342 absolute error = 3.255173908200959e-12 relative error = 1.429156271838123e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720080800421259 y[1] (closed_form) = 2.297461204991401 y[1] (numeric) = 2.297461204988138 absolute error = 3.26272342476841e-12 relative error = 1.420142989870692e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730070619198896 y[1] (closed_form) = 2.317203452772042 y[1] (numeric) = 2.317203452768772 absolute error = 3.269828852126011e-12 relative error = 1.411109951616184e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740060437976533 y[1] (closed_form) = 2.336914045028164 y[1] (numeric) = 2.336914045024886 absolute error = 3.278266547113162e-12 relative error = 1.402818624881709e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750050256754169 y[1] (closed_form) = 2.356591014728415 y[1] (numeric) = 2.356591014725127 absolute error = 3.287592420520014e-12 relative error = 1.395062783475346e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760040075531806 y[1] (closed_form) = 2.376232398196828 y[1] (numeric) = 2.376232398193533 absolute error = 3.295586026297315e-12 relative error = 1.386895502644491e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.770029894309442 y[1] (closed_form) = 2.395836235308787 y[1] (numeric) = 2.395836235305483 absolute error = 3.304023721284466e-12 relative error = 1.379069100212781e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780019713087079 y[1] (closed_form) = 2.41540056968664 y[1] (numeric) = 2.415400569683326 absolute error = 3.313793683901167e-12 relative error = 1.371943736988966e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790009531864716 y[1] (closed_form) = 2.434923448894934 y[1] (numeric) = 2.434923448891611 absolute error = 3.322675468098168e-12 relative error = 1.364591346642184e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.799999350642352 y[1] (closed_form) = 2.454402924635264 y[1] (numeric) = 2.454402924631932 absolute error = 3.33244543071487e-12 relative error = 1.357741794253316e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.809989169419989 y[1] (closed_form) = 2.473837052940701 y[1] (numeric) = 2.473837052937358 absolute error = 3.343103571751271e-12 relative error = 1.351383902903894e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.82011968987055 y[1] (closed_form) = 2.493496601496311 y[1] (numeric) = 2.493496601492959 absolute error = 3.351985355948273e-12 relative error = 1.344291126740175e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830109508648186 y[1] (closed_form) = 2.512833514271294 y[1] (numeric) = 2.512833514267934 absolute error = 3.359978961725574e-12 relative error = 1.337127566407815e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840099327425823 y[1] (closed_form) = 2.532119248492752 y[1] (numeric) = 2.532119248489387 absolute error = 3.365752121453625e-12 relative error = 1.329223386085428e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.85008914620346 y[1] (closed_form) = 2.551351879528321 y[1] (numeric) = 2.551351879524946 absolute error = 3.375077994860476e-12 relative error = 1.322858685993733e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860078964981096 y[1] (closed_form) = 2.570529488045096 y[1] (numeric) = 2.570529488041713 absolute error = 3.383515689847627e-12 relative error = 1.316271883121174e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870068783758733 y[1] (closed_form) = 2.589650160201185 y[1] (numeric) = 2.589650160197796 absolute error = 3.389288849575678e-12 relative error = 1.308782514975834e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880058602536369 y[1] (closed_form) = 2.608711987836696 y[1] (numeric) = 2.608711987833299 absolute error = 3.397282455352979e-12 relative error = 1.30228345298103e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890048421314006 y[1] (closed_form) = 2.627713068664164 y[1] (numeric) = 2.627713068660758 absolute error = 3.40572015034013e-12 relative error = 1.296077639128034e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900038240091643 y[1] (closed_form) = 2.64665150645839 y[1] (numeric) = 2.646651506454977 absolute error = 3.413269666907581e-12 relative error = 1.289655875954382e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910028058869279 y[1] (closed_form) = 2.66552541124568 y[1] (numeric) = 2.665525411242259 absolute error = 3.421263272684882e-12 relative error = 1.283523037616071e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920017877646916 y[1] (closed_form) = 2.68433289949245 y[1] (numeric) = 2.68433289948902 absolute error = 3.429700967672034e-12 relative error = 1.277673483911223e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.930007696424552 y[1] (closed_form) = 2.703072094293199 y[1] (numeric) = 2.703072094289761 absolute error = 3.438138662659185e-12 relative error = 1.271937463272947e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.939997515202189 y[1] (closed_form) = 2.721741125557815 y[1] (numeric) = 2.72174112555437 absolute error = 3.445244090016786e-12 relative error = 1.265823578026984e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.949987333979826 y[1] (closed_form) = 2.740338130198205 y[1] (numeric) = 2.74033813019475 absolute error = 3.454125874213787e-12 relative error = 1.26047433203579e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960117854430387 y[1] (closed_form) = 2.759121604858885 y[1] (numeric) = 2.759121604855423 absolute error = 3.461675390781238e-12 relative error = 1.254629511321697e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970107673208023 y[1] (closed_form) = 2.77756791612386 y[1] (numeric) = 2.77756791612039 absolute error = 3.469668996558539e-12 relative error = 1.249175214192608e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.98009749198566 y[1] (closed_form) = 2.795936629493795 y[1] (numeric) = 2.795936629490315 absolute error = 3.480327137594941e-12 relative error = 1.244780407710834e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990087310763297 y[1] (closed_form) = 2.814225911851013 y[1] (numeric) = 2.814225911847524 absolute error = 3.488764832582092e-12 relative error = 1.239688973756699e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000077129540933 y[1] (closed_form) = 2.832433938004708 y[1] (numeric) = 2.832433938001209 absolute error = 3.498534795198793e-12 relative error = 1.235169070761564e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010066948318554 y[1] (closed_form) = 2.850558890873058 y[1] (numeric) = 2.850558890869578 absolute error = 3.479883048385091e-12 relative error = 1.220772199980505e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.020056767096175 y[1] (closed_form) = 2.868598961664653 y[1] (numeric) = 2.868598961661193 absolute error = 3.459899033941838e-12 relative error = 1.20612852482316e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.030046585873796 y[1] (closed_form) = 2.886552350058915 y[1] (numeric) = 2.886552350055477 absolute error = 3.438582751869035e-12 relative error = 1.191242123774008e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.040036404651417 y[1] (closed_form) = 2.904417264385794 y[1] (numeric) = 2.904417264382376 absolute error = 3.417266469796232e-12 relative error = 1.176575594594839e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.050026223429037 y[1] (closed_form) = 2.922191921804564 y[1] (numeric) = 2.922191921801167 absolute error = 3.396838366143129e-12 relative error = 1.162428224100165e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.060016042206658 y[1] (closed_form) = 2.939874548481749 y[1] (numeric) = 2.93987454847837 absolute error = 3.378630708539276e-12 relative error = 1.149243157427965e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.070005860984279 y[1] (closed_form) = 2.957463379768137 y[1] (numeric) = 2.957463379764778 absolute error = 3.358202604886174e-12 relative error = 1.135500993134682e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.0799956797619 y[1] (closed_form) = 2.974956660374891 y[1] (numeric) = 2.974956660371554 absolute error = 3.337330412023221e-12 relative error = 1.121808077567982e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.090126200212445 y[1] (closed_form) = 2.992596955238624 y[1] (numeric) = 2.992596955235308 absolute error = 3.316014129950418e-12 relative error = 1.108072413208081e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.100116018990066 y[1] (closed_form) = 3.0098924997617 y[1] (numeric) = 3.009892499758404 absolute error = 3.296030115507165e-12 relative error = 1.095065726024474e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.110105837767687 y[1] (closed_form) = 3.027087261407072 y[1] (numeric) = 3.027087261403793 absolute error = 3.278710636323012e-12 relative error = 1.083123925142144e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.120095656545308 y[1] (closed_form) = 3.044179524212336 y[1] (numeric) = 3.044179524209075 absolute error = 3.26139115713886e-12 relative error = 1.071353095702438e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.130085475322928 y[1] (closed_form) = 3.06116758244403 y[1] (numeric) = 3.061167582440788 absolute error = 3.242295321115307e-12 relative error = 1.059169494577838e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.140075294100549 y[1] (closed_form) = 3.078049740767852 y[1] (numeric) = 3.078049740764628 absolute error = 3.224087663511455e-12 relative error = 1.047444952175195e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.15006511287817 y[1] (closed_form) = 3.094824314417852 y[1] (numeric) = 3.094824314414647 absolute error = 3.204547738278052e-12 relative error = 1.035453845747893e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.160054931655791 y[1] (closed_form) = 3.11148962936456 y[1] (numeric) = 3.111489629361375 absolute error = 3.185007813044649e-12 relative error = 1.023627970019975e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.170044750433412 y[1] (closed_form) = 3.128044022482051 y[1] (numeric) = 3.128044022478885 absolute error = 3.165467887811246e-12 relative error = 1.011963982942766e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.180034569211033 y[1] (closed_form) = 3.144485841713916 y[1] (numeric) = 3.144485841710769 absolute error = 3.147260230207394e-12 relative error = 1.000882302746183e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.190024387988653 y[1] (closed_form) = 3.16081344623813 y[1] (numeric) = 3.160813446235001 absolute error = 3.129496661813391e-12 relative error = 9.900921756511727e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.200014206766274 y[1] (closed_form) = 3.177025206630797 y[1] (numeric) = 3.177025206627687 absolute error = 3.109956736579989e-12 relative error = 9.788895379517828e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.210004025543895 y[1] (closed_form) = 3.193119505028765 y[1] (numeric) = 3.193119505025674 absolute error = 3.091304989766286e-12 relative error = 9.681144050192503e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.219993844321516 y[1] (closed_form) = 3.209094735291074 y[1] (numeric) = 3.209094735288003 absolute error = 3.070432796903333e-12 relative error = 9.567909489044225e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.230124364772061 y[1] (closed_form) = 3.225171737628506 y[1] (numeric) = 3.225171737625455 absolute error = 3.05089287166993e-12 relative error = 9.45962919144664e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.240114183549682 y[1] (closed_form) = 3.240902327889565 y[1] (numeric) = 3.240902327886534 absolute error = 3.030464768016827e-12 relative error = 9.350682191000271e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.250104002327303 y[1] (closed_form) = 3.256509081497133 y[1] (numeric) = 3.25650908149412 absolute error = 3.013145288832675e-12 relative error = 9.252685048393678e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.260093821104924 y[1] (closed_form) = 3.271990440965102 y[1] (numeric) = 3.271990440962108 absolute error = 2.994493542018972e-12 relative error = 9.15190186538479e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.270083639882544 y[1] (closed_form) = 3.287344861321154 y[1] (numeric) = 3.287344861318178 absolute error = 2.97584179520527e-12 relative error = 9.052417439432582e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.280073458660165 y[1] (closed_form) = 3.302570810260939 y[1] (numeric) = 3.302570810257981 absolute error = 2.957190048391567e-12 relative error = 8.95420633890335e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.290063277437786 y[1] (closed_form) = 3.317666768300995 y[1] (numeric) = 3.317666768298055 absolute error = 2.940314658417265e-12 relative error = 8.862597915230119e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.300053096215407 y[1] (closed_form) = 3.332631228930392 y[1] (numeric) = 3.332631228927468 absolute error = 2.923883357652812e-12 relative error = 8.773498046440717e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.310042914993028 y[1] (closed_form) = 3.347462698761063 y[1] (numeric) = 3.347462698758156 absolute error = 2.90611978925881e-12 relative error = 8.681559888133782e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.320032733770649 y[1] (closed_form) = 3.362159697676846 y[1] (numeric) = 3.362159697673958 absolute error = 2.887912131654957e-12 relative error = 8.589455562299494e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.330022552548269 y[1] (closed_form) = 3.376720758981195 y[1] (numeric) = 3.376720758978323 absolute error = 2.872369009310205e-12 relative error = 8.506385971272437e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.34001237132589 y[1] (closed_form) = 3.391144429543539 y[1] (numeric) = 3.391144429540685 absolute error = 2.854161351706352e-12 relative error = 8.416513690307591e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.350002190103511 y[1] (closed_form) = 3.405429269944313 y[1] (numeric) = 3.405429269941475 absolute error = 2.83817414015175e-12 relative error = 8.334262482562621e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.359992008881132 y[1] (closed_form) = 3.419573854618593 y[1] (numeric) = 3.41957385461577 absolute error = 2.822631017806998e-12 relative error = 8.254335592122558e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.370122529331677 y[1] (closed_form) = 3.433772977761535 y[1] (numeric) = 3.433772977758728 absolute error = 2.806643806252396e-12 relative error = 8.173644048192251e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.380112348109298 y[1] (closed_form) = 3.447630805509074 y[1] (numeric) = 3.447630805506284 absolute error = 2.790212505487943e-12 relative error = 8.093130218668943e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.390102166886919 y[1] (closed_form) = 3.461344166000477 y[1] (numeric) = 3.461344165997703 absolute error = 2.774225293933341e-12 relative error = 8.014878500622809e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.40009198566454 y[1] (closed_form) = 3.47491169070203 y[1] (numeric) = 3.474911690699272 absolute error = 2.758238082378739e-12 relative error = 7.937577492282967e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.41008180444216 y[1] (closed_form) = 3.488332025633797 y[1] (numeric) = 3.488332025631056 absolute error = 2.741362692404437e-12 relative error = 7.858663316048181e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.420071623219781 y[1] (closed_form) = 3.501603831504741 y[1] (numeric) = 3.501603831502012 absolute error = 2.728928194528635e-12 relative error = 7.793366485311204e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.430061441997402 y[1] (closed_form) = 3.514725783846377 y[1] (numeric) = 3.514725783843661 absolute error = 2.715161429023283e-12 relative error = 7.725101746207688e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.440051260775023 y[1] (closed_form) = 3.527696573144951 y[1] (numeric) = 3.52769657314225 absolute error = 2.700950574308081e-12 relative error = 7.656414088641916e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.450041079552644 y[1] (closed_form) = 3.540514904972123 y[1] (numeric) = 3.540514904969439 absolute error = 2.683631095123928e-12 relative error = 7.579776295688433e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.460030898330265 y[1] (closed_form) = 3.553179500114148 y[1] (numeric) = 3.553179500111479 absolute error = 2.668976151198876e-12 relative error = 7.511515112346939e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.470020717107885 y[1] (closed_form) = 3.565689094699529 y[1] (numeric) = 3.565689094696874 absolute error = 2.655209385693524e-12 relative error = 7.446553289350293e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.480010535885506 y[1] (closed_form) = 3.578042440325154 y[1] (numeric) = 3.578042440322513 absolute error = 2.640998530978322e-12 relative error = 7.381126901161972e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.490000354663127 y[1] (closed_form) = 3.590238304180875 y[1] (numeric) = 3.590238304178248 absolute error = 2.62678767626312e-12 relative error = 7.316471648147131e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.499990173440748 y[1] (closed_form) = 3.602275469172539 y[1] (numeric) = 3.602275469169927 absolute error = 2.612132732338068e-12 relative error = 7.251340866882922e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.510120693891293 y[1] (closed_form) = 3.614318871845174 y[1] (numeric) = 3.614318871842576 absolute error = 2.597921877622866e-12 relative error = 7.187860201987605e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.520110512668914 y[1] (closed_form) = 3.626032774099432 y[1] (numeric) = 3.626032774096848 absolute error = 2.584155112117514e-12 relative error = 7.126673345525179e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.530100331446535 y[1] (closed_form) = 3.63758440535727 y[1] (numeric) = 3.637584405354699 absolute error = 2.570832435822012e-12 relative error = 7.067416585676491e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.540090150224156 y[1] (closed_form) = 3.648972612816143 y[1] (numeric) = 3.648972612813584 absolute error = 2.559286116365911e-12 relative error = 7.013716977148666e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.550079969001776 y[1] (closed_form) = 3.660196259982496 y[1] (numeric) = 3.66019625997995 absolute error = 2.545963440070409e-12 relative error = 6.955811271395005e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.560069787779397 y[1] (closed_form) = 3.671254226785172 y[1] (numeric) = 3.67125422678264 absolute error = 2.532640763774907e-12 relative error = 6.898570916982447e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.570059606557018 y[1] (closed_form) = 3.682145409687196 y[1] (numeric) = 3.682145409684675 absolute error = 2.520650355108955e-12 relative error = 6.845602426448142e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.580049425334639 y[1] (closed_form) = 3.692868721795896 y[1] (numeric) = 3.692868721793387 absolute error = 2.508659946443004e-12 relative error = 6.7932551504918e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.59003924411226 y[1] (closed_form) = 3.70342309297138 y[1] (numeric) = 3.703423092968883 absolute error = 2.496669537777052e-12 relative error = 6.741518522459422e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.600029062889881 y[1] (closed_form) = 3.713807469933323 y[1] (numeric) = 3.713807469930837 absolute error = 2.486011396740651e-12 relative error = 6.69396950937062e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.610018881667501 y[1] (closed_form) = 3.724020816366084 y[1] (numeric) = 3.724020816363608 absolute error = 2.476685523333799e-12 relative error = 6.650568419084617e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.620008700445122 y[1] (closed_form) = 3.734062113022126 y[1] (numeric) = 3.734062113019661 absolute error = 2.464695114667848e-12 relative error = 6.600573423973045e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629998519222743 y[1] (closed_form) = 3.743930357823727 y[1] (numeric) = 3.743930357821275 absolute error = 2.451372438372346e-12 relative error = 6.547590911379239e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.639988338000364 y[1] (closed_form) = 3.753624565962992 y[1] (numeric) = 3.753624565960551 absolute error = 2.441602475755644e-12 relative error = 6.504652857122516e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.650118858450909 y[1] (closed_form) = 3.763276588939743 y[1] (numeric) = 3.763276588937313 absolute error = 2.429612067089693e-12 relative error = 6.456108153810205e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.66010867722853 y[1] (closed_form) = 3.772617353973043 y[1] (numeric) = 3.772617353970625 absolute error = 2.418509836843441e-12 relative error = 6.410694777450579e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.670098496006151 y[1] (closed_form) = 3.7817812195066 y[1] (numeric) = 3.781781219504192 absolute error = 2.40785169580704e-12 relative error = 6.366977770652703e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.680088314783772 y[1] (closed_form) = 3.790767271026503 y[1] (numeric) = 3.790767271024106 absolute error = 2.397193554770638e-12 relative error = 6.323768734347812e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.690078133561392 y[1] (closed_form) = 3.799574611763907 y[1] (numeric) = 3.799574611761521 absolute error = 2.385647235314536e-12 relative error = 6.278721907258529e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.700067952339013 y[1] (closed_form) = 3.808202362784524 y[1] (numeric) = 3.808202362782148 absolute error = 2.375433183487985e-12 relative error = 6.23767583020743e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.710057771116634 y[1] (closed_form) = 3.81664966307634 y[1] (numeric) = 3.816649663073974 absolute error = 2.366551399290984e-12 relative error = 6.200598976075442e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.720047589894255 y[1] (closed_form) = 3.824915669635537 y[1] (numeric) = 3.824915669633182 absolute error = 2.355449169044732e-12 relative error = 6.158172813439243e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.730037408671876 y[1] (closed_form) = 3.832999557550624 y[1] (numeric) = 3.832999557548277 absolute error = 2.347011474057581e-12 relative error = 6.123171784442824e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.740027227449497 y[1] (closed_form) = 3.840900520084759 y[1] (numeric) = 3.840900520082422 absolute error = 2.336797422231029e-12 relative error = 6.083983196158027e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.750017046227117 y[1] (closed_form) = 3.848617768756253 y[1] (numeric) = 3.848617768753927 absolute error = 2.326139281194628e-12 relative error = 6.044090166809056e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.760006865004738 y[1] (closed_form) = 3.856150533417267 y[1] (numeric) = 3.856150533414952 absolute error = 2.315037050948376e-12 relative error = 6.003492423042994e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.769996683782359 y[1] (closed_form) = 3.863498062330661 y[1] (numeric) = 3.863498062328354 absolute error = 2.306155266751375e-12 relative error = 5.969086122331801e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.77998650255998 y[1] (closed_form) = 3.870659622245014 y[1] (numeric) = 3.870659622242716 absolute error = 2.297717571764224e-12 relative error = 5.936242904333524e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.790117023010525 y[1] (closed_form) = 3.877731399611339 y[1] (numeric) = 3.87773139960905 absolute error = 2.289279876777073e-12 relative error = 5.903657682444237e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.800106841788146 y[1] (closed_form) = 3.884516252047495 y[1] (numeric) = 3.884516252045213 absolute error = 2.281286270999772e-12 relative error = 5.872767992146578e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.810096660565767 y[1] (closed_form) = 3.891113037960721 y[1] (numeric) = 3.891113037958448 absolute error = 2.273736754432321e-12 relative error = 5.843409667748832e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.820086479343388 y[1] (closed_form) = 3.897521099020486 y[1] (numeric) = 3.897521099018217 absolute error = 2.26973995154367e-12 relative error = 5.823547567488716e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.830076298121008 y[1] (closed_form) = 3.903739795730175 y[1] (numeric) = 3.903739795727913 absolute error = 2.261746345766369e-12 relative error = 5.793793808286652e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.840066116898629 y[1] (closed_form) = 3.909768507490913 y[1] (numeric) = 3.909768507488658 absolute error = 2.255085007618618e-12 relative error = 5.76782232323472e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.85005593567625 y[1] (closed_form) = 3.915606632663494 y[1] (numeric) = 3.915606632661247 absolute error = 2.246203223421617e-12 relative error = 5.736539530513803e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.860045754453871 y[1] (closed_form) = 3.921253588628427 y[1] (numeric) = 3.921253588626187 absolute error = 2.239985974483716e-12 relative error = 5.712423141873914e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.870035573231492 y[1] (closed_form) = 3.926708811844075 y[1] (numeric) = 3.926708811841843 absolute error = 2.232436457916265e-12 relative error = 5.68526102873378e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.880025392009113 y[1] (closed_form) = 3.931971757902896 y[1] (numeric) = 3.931971757900669 absolute error = 2.226663298188214e-12 relative error = 5.662968696844856e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.890015210786733 y[1] (closed_form) = 3.937041901585769 y[1] (numeric) = 3.937041901583548 absolute error = 2.220890138460163e-12 relative error = 5.641012196404688e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.900005029564354 y[1] (closed_form) = 3.941918736914415 y[1] (numeric) = 3.941918736912199 absolute error = 2.216005157151812e-12 relative error = 5.621640893811062e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.909994848341975 y[1] (closed_form) = 3.946601777201886 y[1] (numeric) = 3.946601777199675 absolute error = 2.211564265053312e-12 relative error = 5.603717805603625e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.92012536879252 y[1] (closed_form) = 3.951152387841158 y[1] (numeric) = 3.951152387838953 absolute error = 2.205347016115411e-12 relative error = 5.581528626691047e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.930115187570141 y[1] (closed_form) = 3.955443709886431 y[1] (numeric) = 3.95544370988423 absolute error = 2.20090612401691e-12 relative error = 5.56424584811018e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.940105006347762 y[1] (closed_form) = 3.959539887157069 y[1] (numeric) = 3.959539887154874 absolute error = 2.19513296428886e-12 relative error = 5.543909208766563e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.950094825125383 y[1] (closed_form) = 3.963440510872403 y[1] (numeric) = 3.963440510870215 absolute error = 2.188471626141109e-12 relative error = 5.521646206465701e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.960084643903004 y[1] (closed_form) = 3.967145191767156 y[1] (numeric) = 3.967145191764972 absolute error = 2.184030734042608e-12 relative error = 5.505295693676732e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.970074462680624 y[1] (closed_form) = 3.970653560130293 y[1] (numeric) = 3.970653560128112 absolute error = 2.180478020363807e-12 relative error = 5.491483926621535e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.980064281458245 y[1] (closed_form) = 3.973965265841914 y[1] (numeric) = 3.973965265839738 absolute error = 2.176481217475157e-12 relative error = 5.476850127964199e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.990054100235866 y[1] (closed_form) = 3.9770799784082 y[1] (numeric) = 3.977079978406026 absolute error = 2.173372593006206e-12 relative error = 5.464744497987402e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.000043919013487 y[1] (closed_form) = 3.979997386994385 y[1] (numeric) = 3.979997386992217 absolute error = 2.168043522488006e-12 relative error = 5.447349110259766e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.010033737791108 y[1] (closed_form) = 3.982717200455787 y[1] (numeric) = 3.982717200453623 absolute error = 2.164490808809205e-12 relative error = 5.43470876757581e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.020023556568729 y[1] (closed_form) = 3.985239147366856 y[1] (numeric) = 3.985239147364693 absolute error = 2.162270362759955e-12 relative error = 5.425697888641437e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.030013375346349 y[1] (closed_form) = 3.987562976048261 y[1] (numeric) = 3.987562976046103 absolute error = 2.158717649081154e-12 relative error = 5.413626473231222e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.04000319412397 y[1] (closed_form) = 3.989688454592011 y[1] (numeric) = 3.989688454589855 absolute error = 2.156053113822054e-12 relative error = 5.404063846991616e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.049993012901591 y[1] (closed_form) = 3.991615370884595 y[1] (numeric) = 3.991615370882443 absolute error = 2.152500400143254e-12 relative error = 5.392554643024713e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.060123533352136 y[1] (closed_form) = 3.993366452690348 y[1] (numeric) = 3.993366452688198 absolute error = 2.150279954094003e-12 relative error = 5.384629684173738e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.070113352129757 y[1] (closed_form) = 3.994892884496476 y[1] (numeric) = 3.994892884494328 absolute error = 2.148059508044753e-12 relative error = 5.377014028038197e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.080103170907378 y[1] (closed_form) = 3.996220234671976 y[1] (numeric) = 3.996220234669828 absolute error = 2.148059508044753e-12 relative error = 5.375228045260807e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.090092989684999 y[1] (closed_form) = 3.997348370753075 y[1] (numeric) = 3.997348370750929 absolute error = 2.146283151205353e-12 relative error = 5.369267204501885e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.10008280846262 y[1] (closed_form) = 3.998277180156702 y[1] (numeric) = 3.998277180154558 absolute error = 2.144062705156102e-12 relative error = 5.362466403772615e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.11007262724024 y[1] (closed_form) = 3.999006570191717 y[1] (numeric) = 3.999006570189575 absolute error = 2.142286348316702e-12 relative error = 5.357046333169686e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.120062446017861 y[1] (closed_form) = 3.999536468068171 y[1] (numeric) = 3.999536468066029 absolute error = 2.141842259106852e-12 relative error = 5.355226227356767e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.130052264795482 y[1] (closed_form) = 3.999866820904558 y[1] (numeric) = 3.999866820902418 absolute error = 2.140509991477302e-12 relative error = 5.351453154115845e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.140042083573103 y[1] (closed_form) = 3.999997595733105 y[1] (numeric) = 3.999997595730965 absolute error = 2.140509991477302e-12 relative error = 5.351278195168507e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.150031902350724 y[1] (closed_form) = 3.999928779503052 y[1] (numeric) = 3.99992877950091 absolute error = 2.141842259106852e-12 relative error = 5.354700988883489e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.160021721128345 y[1] (closed_form) = 3.999660379081959 y[1] (numeric) = 3.999660379079818 absolute error = 2.141398169897002e-12 relative error = 5.353950003096304e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.170011539905965 y[1] (closed_form) = 3.999192421255021 y[1] (numeric) = 3.999192421252878 absolute error = 2.142730437526552e-12 relative error = 5.357907826936028e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.180001358683586 y[1] (closed_form) = 3.998524952722391 y[1] (numeric) = 3.99852495272025 absolute error = 2.141842259106852e-12 relative error = 5.356580950304139e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.189991177461207 y[1] (closed_form) = 3.997658040094529 y[1] (numeric) = 3.997658040092385 absolute error = 2.144062705156102e-12 relative error = 5.363296919476894e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.200121697911752 y[1] (closed_form) = 3.996575328781704 y[1] (numeric) = 3.996575328779558 absolute error = 2.145839061995503e-12 relative error = 5.369194586530236e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.210111516689373 y[1] (closed_form) = 3.995307001901445 y[1] (numeric) = 3.995307001899298 absolute error = 2.146727240415203e-12 relative error = 5.373122114004088e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.220101335466994 y[1] (closed_form) = 3.993839552063443 y[1] (numeric) = 3.993839552061293 absolute error = 2.149835864884153e-12 relative error = 5.382879900053637e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.230091154244615 y[1] (closed_form) = 3.992173125712807 y[1] (numeric) = 3.992173125710656 absolute error = 2.151612221723553e-12 relative error = 5.389576438620458e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.240080973022236 y[1] (closed_form) = 3.990307889151637 y[1] (numeric) = 3.990307889149485 absolute error = 2.152500400143254e-12 relative error = 5.394321591061204e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.250070791799856 y[1] (closed_form) = 3.988244028522427 y[1] (numeric) = 3.988244028520273 absolute error = 2.153832667772804e-12 relative error = 5.400453563947941e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.260060610577477 y[1] (closed_form) = 3.985981749789488 y[1] (numeric) = 3.985981749787331 absolute error = 2.156941292241754e-12 relative error = 5.411317531385258e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.270050429355098 y[1] (closed_form) = 3.983521278718395 y[1] (numeric) = 3.983521278716235 absolute error = 2.159605827500855e-12 relative error = 5.421348792683386e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.280040248132719 y[1] (closed_form) = 3.980862860853455 y[1] (numeric) = 3.980862860851294 absolute error = 2.161382184340255e-12 relative error = 5.429431406930901e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.29003006691034 y[1] (closed_form) = 3.978006761493207 y[1] (numeric) = 3.978006761491041 absolute error = 2.165378987228905e-12 relative error = 5.443376839349807e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.300019885687961 y[1] (closed_form) = 3.974953265663939 y[1] (numeric) = 3.97495326566177 absolute error = 2.168931700907706e-12 relative error = 5.456496104352129e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.310009704465581 y[1] (closed_form) = 3.971702678091251 y[1] (numeric) = 3.97170267808908 absolute error = 2.171596236166806e-12 relative error = 5.46767069988846e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.319999523243202 y[1] (closed_form) = 3.96825532316964 y[1] (numeric) = 3.968255323167464 absolute error = 2.175148949845607e-12 relative error = 5.481373482057623e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.329989342020823 y[1] (closed_form) = 3.964611544930129 y[1] (numeric) = 3.96461154492795 absolute error = 2.179589841944107e-12 relative error = 5.497612609062105e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.340119862471368 y[1] (closed_form) = 3.960716226447285 y[1] (numeric) = 3.960716226445101 absolute error = 2.183142555622908e-12 relative error = 5.511989324166152e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.350109681248989 y[1] (closed_form) = 3.956677958860949 y[1] (numeric) = 3.956677958858761 absolute error = 2.188027536931259e-12 relative error = 5.529961143365707e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.36009950002661 y[1] (closed_form) = 3.9524444233273 y[1] (numeric) = 3.952444423325108 absolute error = 2.192468429029759e-12 relative error = 5.54712019754111e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.370089318804231 y[1] (closed_form) = 3.948016042334766 y[1] (numeric) = 3.948016042332568 absolute error = 2.19779749954796e-12 relative error = 5.566840347103131e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.380079137581852 y[1] (closed_form) = 3.943393257816504 y[1] (numeric) = 3.943393257814299 absolute error = 2.204458837695711e-12 relative error = 5.590258677158519e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.390068956359472 y[1] (closed_form) = 3.938576531106295 y[1] (numeric) = 3.938576531104084 absolute error = 2.211564265053312e-12 relative error = 5.61513594464067e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.400058775137093 y[1] (closed_form) = 3.93356634289251 y[1] (numeric) = 3.933566342890295 absolute error = 2.214672889522262e-12 relative error = 5.63019076447996e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.410048593914714 y[1] (closed_form) = 3.928363193170133 y[1] (numeric) = 3.928363193167914 absolute error = 2.219113781620763e-12 relative error = 5.648952687162231e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.420038412692335 y[1] (closed_form) = 3.92296760119087 y[1] (numeric) = 3.922967601188645 absolute error = 2.224886941348814e-12 relative error = 5.671438481096349e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.430028231469956 y[1] (closed_form) = 3.917380105411326 y[1] (numeric) = 3.917380105409096 absolute error = 2.229771922657164e-12 relative error = 5.691997872703338e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.440018050247577 y[1] (closed_form) = 3.911601263439269 y[1] (numeric) = 3.911601263437034 absolute error = 2.235100993175365e-12 relative error = 5.714030757854282e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.450007869025197 y[1] (closed_form) = 3.905631651977986 y[1] (numeric) = 3.905631651975745 absolute error = 2.240874152903416e-12 relative error = 5.737546068299957e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.459997687802818 y[1] (closed_form) = 3.899471866768728 y[1] (numeric) = 3.899471866766481 absolute error = 2.246647312631467e-12 relative error = 5.761414338637443e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.469987506580439 y[1] (closed_form) = 3.893122522531262 y[1] (numeric) = 3.893122522529008 absolute error = 2.254196829198918e-12 relative error = 5.790202635937761e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.480118027030984 y[1] (closed_form) = 3.886490818504628 y[1] (numeric) = 3.886490818502366 absolute error = 2.261746345766369e-12 relative error = 5.819507754907297e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.490107845808605 y[1] (closed_form) = 3.879761628994359 y[1] (numeric) = 3.87976162899209 absolute error = 2.26929586233382e-12 relative error = 5.849060017952767e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.500097664586226 y[1] (closed_form) = 3.872844847451855 y[1] (numeric) = 3.872844847449576 absolute error = 2.278621735740671e-12 relative error = 5.883586421593663e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.510087483363847 y[1] (closed_form) = 3.865741164141824 y[1] (numeric) = 3.865741164139537 absolute error = 2.287059430727822e-12 relative error = 5.916224945276539e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.520077302141468 y[1] (closed_form) = 3.85845128798095 y[1] (numeric) = 3.858451287978655 absolute error = 2.294608947295274e-12 relative error = 5.9469688121837e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.530067120919088 y[1] (closed_form) = 3.85097594646716 y[1] (numeric) = 3.850975946464856 absolute error = 2.303934820702125e-12 relative error = 5.982729709895299e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.540056939696709 y[1] (closed_form) = 3.843315885607014 y[1] (numeric) = 3.843315885604702 absolute error = 2.311928426479426e-12 relative error = 6.015452529253342e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.55004675847433 y[1] (closed_form) = 3.835471869841258 y[1] (numeric) = 3.835471869838937 absolute error = 2.321254299886277e-12 relative error = 6.05206967658545e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.560036577251951 y[1] (closed_form) = 3.827444681968538 y[1] (numeric) = 3.827444681966207 absolute error = 2.331024262502979e-12 relative error = 6.090288576826882e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.570026396029572 y[1] (closed_form) = 3.819235123067282 y[1] (numeric) = 3.819235123064941 absolute error = 2.34035013590983e-12 relative error = 6.127798002732709e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.580016214807193 y[1] (closed_form) = 3.810844012415747 y[1] (numeric) = 3.810844012413397 absolute error = 2.350120098526531e-12 relative error = 6.16692808960385e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.590006033584813 y[1] (closed_form) = 3.802272187410271 y[1] (numeric) = 3.802272187407911 absolute error = 2.359445971933383e-12 relative error = 6.205357890331366e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.599995852362434 y[1] (closed_form) = 3.793520503481695 y[1] (numeric) = 3.793520503479324 absolute error = 2.371880469809184e-12 relative error = 6.252451957574162e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.610126372812979 y[1] (closed_form) = 3.784462775970386 y[1] (numeric) = 3.784462775968005 absolute error = 2.381650432425886e-12 relative error = 6.293232549539873e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.6201161915906 y[1] (closed_form) = 3.775351510277161 y[1] (numeric) = 3.775351510274769 absolute error = 2.391420395042587e-12 relative error = 6.3342986435375e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.630106010368221 y[1] (closed_form) = 3.766063072227288 y[1] (numeric) = 3.766063072224887 absolute error = 2.401190357659289e-12 relative error = 6.375863366088555e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.640095829145842 y[1] (closed_form) = 3.756598388766475 y[1] (numeric) = 3.756598388764062 absolute error = 2.41362485553509e-12 relative error = 6.425027660003957e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.650085647923463 y[1] (closed_form) = 3.746958404428954 y[1] (numeric) = 3.746958404426528 absolute error = 2.425171174991192e-12 relative error = 6.472372824114108e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.660075466701084 y[1] (closed_form) = 3.737144081243217 y[1] (numeric) = 3.737144081240781 absolute error = 2.435829316027593e-12 relative error = 6.517889765752029e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.670065285478704 y[1] (closed_form) = 3.727156398636022 y[1] (numeric) = 3.727156398633576 absolute error = 2.446043367854145e-12 relative error = 6.562760201716491e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.680055104256325 y[1] (closed_form) = 3.716996353334638 y[1] (numeric) = 3.716996353332181 absolute error = 2.456701508890546e-12 relative error = 6.609372932762121e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.690044923033946 y[1] (closed_form) = 3.706664959267383 y[1] (numeric) = 3.706664959264916 absolute error = 2.466915560717098e-12 relative error = 6.655350801397168e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.700034741811567 y[1] (closed_form) = 3.696163247462435 y[1] (numeric) = 3.696163247459955 absolute error = 2.4802382370126e-12 relative error = 6.710304905270035e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.710024560589188 y[1] (closed_form) = 3.685492265944943 y[1] (numeric) = 3.68549226594245 absolute error = 2.492672734888401e-12 relative error = 6.763472977331814e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.720014379366809 y[1] (closed_form) = 3.674653079632435 y[1] (numeric) = 3.67465307962993 absolute error = 2.504663143554353e-12 relative error = 6.816053350551631e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.730004198144429 y[1] (closed_form) = 3.663646770228547 y[1] (numeric) = 3.66364677022603 absolute error = 2.516209463010455e-12 relative error = 6.868046023043558e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.73999401692205 y[1] (closed_form) = 3.652474436115072 y[1] (numeric) = 3.652474436112542 absolute error = 2.529976228515807e-12 relative error = 6.926745889032964e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.750124537372595 y[1] (closed_form) = 3.64097634046315 y[1] (numeric) = 3.640976340460606 absolute error = 2.544187083231009e-12 relative error = 6.987650688516629e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.760114356150216 y[1] (closed_form) = 3.629473019659818 y[1] (numeric) = 3.629473019657262 absolute error = 2.55617749189696e-12 relative error = 7.042833706300826e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.770104174927837 y[1] (closed_form) = 3.617807084538525 y[1] (numeric) = 3.617807084535953 absolute error = 2.571276525031863e-12 relative error = 7.107279257704937e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.780093993705458 y[1] (closed_form) = 3.60597969930884 y[1] (numeric) = 3.605979699306254 absolute error = 2.585931468956915e-12 relative error = 7.171231356218011e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.790083812483079 y[1] (closed_form) = 3.593992044292351 y[1] (numeric) = 3.593992044289751 absolute error = 2.600142323672117e-12 relative error = 7.234691372790945e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.8000736312607 y[1] (closed_form) = 3.581845315804876 y[1] (numeric) = 3.581845315802259 absolute error = 2.616573624436569e-12 relative error = 7.305099449412151e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.81006345003832 y[1] (closed_form) = 3.569540726037069 y[1] (numeric) = 3.569540726034437 absolute error = 2.632116746781321e-12 relative error = 7.373824670445818e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.820053268815941 y[1] (closed_form) = 3.557079502933453 y[1] (numeric) = 3.557079502930809 absolute error = 2.644107155447273e-12 relative error = 7.433365358482233e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.830043087593562 y[1] (closed_form) = 3.544462890069882 y[1] (numeric) = 3.544462890067222 absolute error = 2.659650277792025e-12 relative error = 7.503676467436756e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.840032906371183 y[1] (closed_form) = 3.531692146529426 y[1] (numeric) = 3.531692146526752 absolute error = 2.674749310926927e-12 relative error = 7.573563039902523e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.850022725148804 y[1] (closed_form) = 3.518768546776729 y[1] (numeric) = 3.518768546774039 absolute error = 2.690292433271679e-12 relative error = 7.645550986114297e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.860012543926425 y[1] (closed_form) = 3.50569338053082 y[1] (numeric) = 3.505693380528115 absolute error = 2.705391466406581e-12 relative error = 7.717136591098393e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.870002362704045 y[1] (closed_form) = 3.492467952636402 y[1] (numeric) = 3.49246795263368 absolute error = 2.721822767171034e-12 relative error = 7.79340799710525e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.879992181481666 y[1] (closed_form) = 3.47909358293364 y[1] (numeric) = 3.479093582930902 absolute error = 2.737365889515786e-12 relative error = 7.868043282720742e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.890122701932211 y[1] (closed_form) = 3.465380108074101 y[1] (numeric) = 3.465380108071348 absolute error = 2.753353101070388e-12 relative error = 7.945313400556728e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.900112520709832 y[1] (closed_form) = 3.451709823336783 y[1] (numeric) = 3.451709823334014 absolute error = 2.76934031262499e-12 relative error = 8.023097115237391e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.910102339487453 y[1] (closed_form) = 3.437894664275097 y[1] (numeric) = 3.43789466427231 absolute error = 2.787103881018993e-12 relative error = 8.10700778584405e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.920092158265074 y[1] (closed_form) = 3.42393600958181 y[1] (numeric) = 3.423936009579009 absolute error = 2.801314735734195e-12 relative error = 8.181562762548064e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.930081977042695 y[1] (closed_form) = 3.409835252269932 y[1] (numeric) = 3.409835252267114 absolute error = 2.817746036498647e-12 relative error = 8.263584097275286e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.940071795820316 y[1] (closed_form) = 3.395593799533694 y[1] (numeric) = 3.39559379953086 absolute error = 2.8341773372631e-12 relative error = 8.346632443645962e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.950061614597936 y[1] (closed_form) = 3.381213072608117 y[1] (numeric) = 3.381213072605266 absolute error = 2.850164548817702e-12 relative error = 8.429414200209548e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.960051433375557 y[1] (closed_form) = 3.366694506627182 y[1] (numeric) = 3.366694506624315 absolute error = 2.867039938792004e-12 relative error = 8.515889793827059e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.970041252153178 y[1] (closed_form) = 3.352039550480606 y[1] (numeric) = 3.352039550477725 absolute error = 2.881694882717056e-12 relative error = 8.596840339499833e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.980031070930799 y[1] (closed_form) = 3.337249666669257 y[1] (numeric) = 3.337249666666358 absolute error = 2.899014361901209e-12 relative error = 8.686836920998396e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.99002088970842 y[1] (closed_form) = 3.322326331159188 y[1] (numeric) = 3.322326331156272 absolute error = 2.915889751875511e-12 relative error = 8.776650639427503e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.000010708486041 y[1] (closed_form) = 3.307271033234356 y[1] (numeric) = 3.307271033231424 absolute error = 2.931432874220263e-12 relative error = 8.86360036647332e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.010000527263662 y[1] (closed_form) = 3.292085275347995 y[1] (numeric) = 3.292085275345046 absolute error = 2.949640531824116e-12 relative error = 8.95979382402942e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.019990346041283 y[1] (closed_form) = 3.276770572972671 y[1] (numeric) = 3.276770572969705 absolute error = 2.965627743378718e-12 relative error = 9.050458911709264e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.030120866491828 y[1] (closed_form) = 3.261110057260815 y[1] (numeric) = 3.261110057257832 absolute error = 2.983391311772721e-12 relative error = 9.148391987354865e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.040110685269449 y[1] (closed_form) = 3.245540301822294 y[1] (numeric) = 3.245540301819295 absolute error = 2.999378523327323e-12 relative error = 9.241538370801443e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.050100504047069 y[1] (closed_form) = 3.229846246880665 y[1] (numeric) = 3.229846246877646 absolute error = 3.018474359350876e-12 relative error = 9.345566719363411e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.06009032282469 y[1] (closed_form) = 3.214029458634328 y[1] (numeric) = 3.214029458631292 absolute error = 3.036237927744878e-12 relative error = 9.446826691610366e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.070080141602311 y[1] (closed_form) = 3.198091515529937 y[1] (numeric) = 3.198091515526881 absolute error = 3.056221942188131e-12 relative error = 9.556393015481618e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.080069960379932 y[1] (closed_form) = 3.182034008104871 y[1] (numeric) = 3.182034008101797 absolute error = 3.073985510582133e-12 relative error = 9.660442040381936e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.090059779157553 y[1] (closed_form) = 3.165858538828511 y[1] (numeric) = 3.165858538825415 absolute error = 3.095745881864786e-12 relative error = 9.778535092128062e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.100049597935174 y[1] (closed_form) = 3.149566721942312 y[1] (numeric) = 3.149566721939199 absolute error = 3.113065361048939e-12 relative error = 9.884106722873731e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.110039416712794 y[1] (closed_form) = 3.133160183298722 y[1] (numeric) = 3.133160183295589 absolute error = 3.133049375492192e-12 relative error = 9.999646338520702e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.120029235490415 y[1] (closed_form) = 3.116640560198915 y[1] (numeric) = 3.116640560195764 absolute error = 3.150812943886194e-12 relative error = 1.010964493026138e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.130019054268036 y[1] (closed_form) = 3.100009501229405 y[1] (numeric) = 3.100009501226236 absolute error = 3.168576512280197e-12 relative error = 1.022118322870817e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.140008873045657 y[1] (closed_form) = 3.083268666097518 y[1] (numeric) = 3.083268666094331 absolute error = 3.186784169884049e-12 relative error = 1.033573299960769e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.149998691823278 y[1] (closed_form) = 3.066419725465767 y[1] (numeric) = 3.06641972546256 absolute error = 3.206768184327302e-12 relative error = 1.045769487358818e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.159988510600899 y[1] (closed_form) = 3.049464360785121 y[1] (numeric) = 3.049464360781896 absolute error = 3.225419931141005e-12 relative error = 1.05770048426163e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.170119031051444 y[1] (closed_form) = 3.032163241289034 y[1] (numeric) = 3.032163241285789 absolute error = 3.244959856374408e-12 relative error = 1.070179801729576e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.180108849829065 y[1] (closed_form) = 3.014998676266173 y[1] (numeric) = 3.01499867626291 absolute error = 3.26361160318811e-12 relative error = 1.082458718432946e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.190098668606685 y[1] (closed_form) = 2.99773281879141 y[1] (numeric) = 2.997732818788126 absolute error = 3.284039706841213e-12 relative error = 1.095507807185176e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.200088487384306 y[1] (closed_form) = 2.980367391922199 y[1] (numeric) = 2.980367391918895 absolute error = 3.303579632074616e-12 relative error = 1.108447113274837e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.210078306161927 y[1] (closed_form) = 2.96290412865259 y[1] (numeric) = 2.962904128649267 absolute error = 3.323119557308019e-12 relative error = 1.121575121237298e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.220068124939548 y[1] (closed_form) = 2.94534477174028 y[1] (numeric) = 2.945344771736937 absolute error = 3.342659482541421e-12 relative error = 1.134895824289659e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.230057943717169 y[1] (closed_form) = 2.927691073532692 y[1] (numeric) = 2.927691073529331 absolute error = 3.361311229355124e-12 relative error = 1.148109942248519e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.24004776249479 y[1] (closed_form) = 2.909944795792101 y[1] (numeric) = 2.90994479578872 absolute error = 3.380851154588527e-12 relative error = 1.161826560929051e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.25003758127241 y[1] (closed_form) = 2.892107709519816 y[1] (numeric) = 2.892107709516416 absolute error = 3.400391079821929e-12 relative error = 1.175748423417641e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.260027400050031 y[1] (closed_form) = 2.874181594779444 y[1] (numeric) = 2.874181594776021 absolute error = 3.422595540314433e-12 relative error = 1.190806992338657e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.270017218827652 y[1] (closed_form) = 2.856168240519242 y[1] (numeric) = 2.8561682405158 absolute error = 3.441691376337985e-12 relative error = 1.205003027311969e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.280007037605273 y[1] (closed_form) = 2.838069444393596 y[1] (numeric) = 2.838069444390132 absolute error = 3.463895836830488e-12 relative error = 1.22051130344015e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.289996856382894 y[1] (closed_form) = 2.819887012583614 y[1] (numeric) = 2.819887012580129 absolute error = 3.484323940483591e-12 relative error = 1.235625372553921e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.299986675160515 y[1] (closed_form) = 2.801622759616886 y[1] (numeric) = 2.801622759613381 absolute error = 3.504752044136694e-12 relative error = 1.250972148946976e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.31011719561106 y[1] (closed_form) = 2.783019575911544 y[1] (numeric) = 2.783019575908019 absolute error = 3.524736058579947e-12 relative error = 1.266515007328133e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.320107014388681 y[1] (closed_form) = 2.764596068850303 y[1] (numeric) = 2.764596068846756 absolute error = 3.54694051907245e-12 relative error = 1.282986892384426e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.330096833166301 y[1] (closed_form) = 2.746096258427944 y[1] (numeric) = 2.746096258424376 absolute error = 3.568700890355103e-12 relative error = 1.299554186930823e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.340086651943922 y[1] (closed_form) = 2.727521990845059 y[1] (numeric) = 2.72752199084147 absolute error = 3.589128994008206e-12 relative error = 1.31589369620305e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.350076470721543 y[1] (closed_form) = 2.708875119732742 y[1] (numeric) = 2.708875119729132 absolute error = 3.609557097661309e-12 relative error = 1.33249298624642e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.360066289499164 y[1] (closed_form) = 2.6901575059676 y[1] (numeric) = 2.690157505963969 absolute error = 3.631317468943962e-12 relative error = 1.349853107443924e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.370056108276785 y[1] (closed_form) = 2.671371017486054 y[1] (numeric) = 2.671371017482401 absolute error = 3.653521929436465e-12 relative error = 1.3676579949103e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.380045927054406 y[1] (closed_form) = 2.652517529097918 y[1] (numeric) = 2.652517529094244 absolute error = 3.674394122299418e-12 relative error = 1.385247819096986e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.390035745832026 y[1] (closed_form) = 2.633598922299307 y[1] (numeric) = 2.633598922295612 absolute error = 3.695266315162371e-12 relative error = 1.403124175011492e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.400025564609647 y[1] (closed_form) = 2.614617085084871 y[1] (numeric) = 2.614617085081153 absolute error = 3.717470775654874e-12 relative error = 1.421803137775413e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.410015383387268 y[1] (closed_form) = 2.595573911759376 y[1] (numeric) = 2.595573911755638 absolute error = 3.737898879307977e-12 relative error = 1.44010496575468e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.420005202164889 y[1] (closed_form) = 2.576471302748671 y[1] (numeric) = 2.576471302744912 absolute error = 3.75877107217093e-12 relative error = 1.458883344891495e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.42999502094251 y[1] (closed_form) = 2.557311164410025 y[1] (numeric) = 2.557311164406244 absolute error = 3.780531443453583e-12 relative error = 1.478322816584488e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.440125541393055 y[1] (closed_form) = 2.537824376397863 y[1] (numeric) = 2.537824376394063 absolute error = 3.800071368686986e-12 relative error = 1.497373657542344e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.450115360170676 y[1] (closed_form) = 2.518554178637598 y[1] (numeric) = 2.518554178633777 absolute error = 3.821387650759789e-12 relative error = 1.517294201241664e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.460105178948297 y[1] (closed_form) = 2.499232231426396 y[1] (numeric) = 2.499232231422552 absolute error = 3.843148022042442e-12 relative error = 1.537731457572083e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.470094997725917 y[1] (closed_form) = 2.479860463010523 y[1] (numeric) = 2.479860463006658 absolute error = 3.864464304115245e-12 relative error = 1.558339415365262e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.480084816503538 y[1] (closed_form) = 2.460440806608186 y[1] (numeric) = 2.4604408066043 absolute error = 3.886224675397898e-12 relative error = 1.579483101142031e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.490074635281159 y[1] (closed_form) = 2.440975200216604 y[1] (numeric) = 2.440975200212697 absolute error = 3.907096868260851e-12 relative error = 1.600629481165621e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.50006445405878 y[1] (closed_form) = 2.421465586418606 y[1] (numeric) = 2.421465586414676 absolute error = 3.929745417963204e-12 relative error = 1.622878904413989e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.510054272836401 y[1] (closed_form) = 2.401913912188767 y[1] (numeric) = 2.401913912184815 absolute error = 3.951949878455707e-12 relative error = 1.645333689272175e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.520044091614022 y[1] (closed_form) = 2.382322128699111 y[1] (numeric) = 2.382322128695137 absolute error = 3.97459842815806e-12 relative error = 1.668371535602713e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.530033910391642 y[1] (closed_form) = 2.362692191124393 y[1] (numeric) = 2.362692191120396 absolute error = 3.996358799440713e-12 relative error = 1.691442844079858e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.540023729169263 y[1] (closed_form) = 2.343026058446977 y[1] (numeric) = 2.343026058442957 absolute error = 4.020339616772617e-12 relative error = 1.715874905564392e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.550013547946884 y[1] (closed_form) = 2.323325693261342 y[1] (numeric) = 2.323325693257299 absolute error = 4.04343225568482e-12 relative error = 1.740363939249903e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.560003366724505 y[1] (closed_form) = 2.303593061578224 y[1] (numeric) = 2.303593061574158 absolute error = 4.065192626967473e-12 relative error = 1.764718211202786e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.569993185502126 y[1] (closed_form) = 2.283830132628412 y[1] (numeric) = 2.283830132624324 absolute error = 4.088729355089527e-12 relative error = 1.790294863297864e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.580123705952671 y[1] (closed_form) = 2.263759935795348 y[1] (numeric) = 2.263759935791236 absolute error = 4.11226608321158e-12 relative error = 1.816564565079105e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.590113524730292 y[1] (closed_form) = 2.243941974893811 y[1] (numeric) = 2.243941974889675 absolute error = 4.135358722123783e-12 relative error = 1.84289913393125e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.600103343507913 y[1] (closed_form) = 2.224099669644506 y[1] (numeric) = 2.224099669640348 absolute error = 4.158007271826136e-12 relative error = 1.869523802631894e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.610093162285533 y[1] (closed_form) = 2.204235000223168 y[1] (numeric) = 2.204235000218988 absolute error = 4.180211732318639e-12 relative error = 1.896445584021401e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.620082981063154 y[1] (closed_form) = 2.184349949037379 y[1] (numeric) = 2.184349949033177 absolute error = 4.201972103601292e-12 relative error = 1.923671665088765e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.630072799840775 y[1] (closed_form) = 2.164446500528734 y[1] (numeric) = 2.164446500524506 absolute error = 4.227729277772596e-12 relative error = 1.953261157871004e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.640062618618396 y[1] (closed_form) = 2.144526640974799 y[1] (numeric) = 2.144526640970549 absolute error = 4.249933738265099e-12 relative error = 1.981758424942338e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.650052437396017 y[1] (closed_form) = 2.12459235829089 y[1] (numeric) = 2.124592358286618 absolute error = 4.271694109547752e-12 relative error = 2.010594687907133e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.660042256173638 y[1] (closed_form) = 2.104645641831693 y[1] (numeric) = 2.1046456418274 absolute error = 4.293010391620555e-12 relative error = 2.039778244039366e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.670032074951258 y[1] (closed_form) = 2.084688482192727 y[1] (numeric) = 2.084688482188411 absolute error = 4.315214852113058e-12 relative error = 2.069956681285162e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.680021893728879 y[1] (closed_form) = 2.064722871011694 y[1] (numeric) = 2.064722871007356 absolute error = 4.337419312605562e-12 relative error = 2.100727111372709e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.6900117125065 y[1] (closed_form) = 2.044750800769726 y[1] (numeric) = 2.044750800765366 absolute error = 4.360067862307915e-12 relative error = 2.132322364498702e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.700001531284121 y[1] (closed_form) = 2.02477426459254 y[1] (numeric) = 2.024774264588157 absolute error = 4.382716412010268e-12 relative error = 2.164545692155088e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.709991350061742 y[1] (closed_form) = 2.004795256051533 y[1] (numeric) = 2.004795256047127 absolute error = 4.406253140132321e-12 relative error = 2.197856926702074e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.720121870512287 y[1] (closed_form) = 1.984534373880409 y[1] (numeric) = 1.98453437387598 absolute error = 4.429345779044525e-12 relative error = 2.231932002459456e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.730111689289908 y[1] (closed_form) = 1.964556437695028 y[1] (numeric) = 1.964556437690576 absolute error = 4.452438417956728e-12 relative error = 2.26638356248023e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.740101508067529 y[1] (closed_form) = 1.94458203862296 y[1] (numeric) = 1.944582038618484 absolute error = 4.476197190683706e-12 relative error = 2.301881382105888e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.750091326845149 y[1] (closed_form) = 1.924613170022329 y[1] (numeric) = 1.92461317001783 absolute error = 4.499733918805759e-12 relative error = 2.337993935037633e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.76008114562277 y[1] (closed_form) = 1.904651824699342 y[1] (numeric) = 1.90465182469482 absolute error = 4.521938379298263e-12 relative error = 2.374154856367027e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.770070964400391 y[1] (closed_form) = 1.884699994709416 y[1] (numeric) = 1.884699994704872 absolute error = 4.543920795185841e-12 relative error = 2.41095177372589e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.780060783178012 y[1] (closed_form) = 1.864759671158378 y[1] (numeric) = 1.864759671153811 absolute error = 4.566791389493119e-12 relative error = 2.448997294464361e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.790050601955633 y[1] (closed_form) = 1.844832844003763 y[1] (numeric) = 1.844832843999175 absolute error = 4.588329716170847e-12 relative error = 2.487124907323846e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.800040420733254 y[1] (closed_form) = 1.824921501856227 y[1] (numeric) = 1.824921501851616 absolute error = 4.61053417666335e-12 relative error = 2.526428765277699e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.810030239510874 y[1] (closed_form) = 1.805027631781085 y[1] (numeric) = 1.805027631776452 absolute error = 4.633626815575553e-12 relative error = 2.567066971159543e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.820020058288495 y[1] (closed_form) = 1.78515321910002 y[1] (numeric) = 1.785153219095364 absolute error = 4.655831276068056e-12 relative error = 2.608084967863588e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.830009877066116 y[1] (closed_form) = 1.765300247192947 y[1] (numeric) = 1.765300247188269 absolute error = 4.677813691955635e-12 relative error = 2.64986859849703e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.839999695843737 y[1] (closed_form) = 1.745470697300088 y[1] (numeric) = 1.745470697295388 absolute error = 4.700684286262913e-12 relative error = 2.693075451529481e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.849989514621358 y[1] (closed_form) = 1.72566654832425 y[1] (numeric) = 1.725666548319527 absolute error = 4.723332835965266e-12 relative error = 2.73710633178349e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.860120035071903 y[1] (closed_form) = 1.70561143553237 y[1] (numeric) = 1.705611435527624 absolute error = 4.745981385667619e-12 relative error = 2.782568929122044e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.870109853849524 y[1] (closed_form) = 1.685864442236195 y[1] (numeric) = 1.685864442231427 absolute error = 4.768407890765047e-12 relative error = 2.828464597331473e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.880099672627145 y[1] (closed_form) = 1.666148798301966 y[1] (numeric) = 1.666148798297175 absolute error = 4.790390306652625e-12 relative error = 2.875127546552079e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.890089491404765 y[1] (closed_form) = 1.646466471265168 y[1] (numeric) = 1.646466471260355 absolute error = 4.812594767145129e-12 relative error = 2.922983766226993e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.900079310182386 y[1] (closed_form) = 1.626819425336409 y[1] (numeric) = 1.626819425331574 absolute error = 4.834355138427782e-12 relative error = 2.971660568552708e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.910069128960007 y[1] (closed_form) = 1.607209621205392 y[1] (numeric) = 1.607209621200535 absolute error = 4.85678164352521e-12 relative error = 3.021871932226656e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.920058947737628 y[1] (closed_form) = 1.587639015845253 y[1] (numeric) = 1.587639015840374 absolute error = 4.879430193227563e-12 relative error = 3.073387681033885e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.930048766515249 y[1] (closed_form) = 1.568109562317261 y[1] (numeric) = 1.568109562312359 absolute error = 4.901190564510216e-12 relative error = 3.125540894774931e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.94003858529287 y[1] (closed_form) = 1.548623209575909 y[1] (numeric) = 1.548623209570986 absolute error = 4.923617069607644e-12 relative error = 3.179351206389305e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.95002840407049 y[1] (closed_form) = 1.529181902274423 y[1] (numeric) = 1.529181902269477 absolute error = 4.946043574705072e-12 relative error = 3.234437686810571e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.960018222848111 y[1] (closed_form) = 1.509787580570686 y[1] (numeric) = 1.509787580565718 absolute error = 4.9675819013828e-12 relative error = 3.290252195282399e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.970008041625732 y[1] (closed_form) = 1.490442179933624 y[1] (numeric) = 1.490442179928634 absolute error = 4.990008406480229e-12 relative error = 3.348005359525221e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.979997860403353 y[1] (closed_form) = 1.471147630950056 y[1] (numeric) = 1.471147630945044 absolute error = 5.012212866972732e-12 relative error = 3.407008760729119e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.989987679180974 y[1] (closed_form) = 1.451905859132024 y[1] (numeric) = 1.45190585912699 absolute error = 5.03463937207016e-12 relative error = 3.467607311041474e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 0.000140701672924398 NO POLE (given) for Equation 1 NO 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 ) + sin ( x ) ; Iterations = 56430 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 3 Minutes 0.0 Seconds Percent Done = 100 %