##############ECHO OF PROBLEM################# ##############temp/cospostode.ode################# diff ( y , x , 1 ) = cos ( x ) ; ! // BEGIN FIRST INPUT BLOCK Digits=32; max_terms=40; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start=c(0.0); x_end=c(5.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=false; 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(1.0) + sin(c(x))); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = 0 y[1] (closed_form) = 1 y[1] (numeric) = 1 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 0.001 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE TOP MAIN SOLVE Loop x[1] = 0.00999999400000118 y[1] (closed_form) = 1.009999827334468 y[1] (numeric) = 1.009999827334467 absolute error = 1.332267629550188e-15 relative error = 1.319077086444886e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.01999998733333588 y[1] (closed_form) = 1.019998654029202 y[1] (numeric) = 1.0199986540292 absolute error = 2.442490654175344e-15 relative error = 2.394601840430876e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.02999998066667069 y[1] (closed_form) = 1.029995480877866 y[1] (numeric) = 1.029995480877862 absolute error = 3.552713678800501e-15 relative error = 3.449251714942012e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.03999997400000518 y[1] (closed_form) = 1.039989308207437 y[1] (numeric) = 1.039989308207433 absolute error = 3.108624468950438e-15 relative error = 2.989092718951675e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.04999996733333964 y[1] (closed_form) = 1.049979136644843 y[1] (numeric) = 1.049979136644841 absolute error = 2.220446049250313e-15 relative error = 2.114752542936844e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.0599999606666741 y[1] (closed_form) = 1.059963967216897 y[1] (numeric) = 1.059963967216894 absolute error = 3.33066907387547e-15 relative error = 3.142247450751243e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.06999995400000855 y[1] (closed_form) = 1.069942801450195 y[1] (numeric) = 1.069942801450193 absolute error = 2.220446049250313e-15 relative error = 2.075294161744657e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.07999994733334301 y[1] (closed_form) = 1.079914641470959 y[1] (numeric) = 1.079914641470957 absolute error = 2.442490654175344e-15 relative error = 2.261744179010677e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.08999994066667746 y[1] (closed_form) = 1.089878490104826 y[1] (numeric) = 1.089878490104825 absolute error = 1.554312234475219e-15 relative error = 1.426133508081e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.09999993400001192 y[1] (closed_form) = 1.099833350976565 y[1] (numeric) = 1.099833350976564 absolute error = 1.110223024625157e-15 relative error = 1.009446589012205e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1099999273333464 y[1] (closed_form) = 1.109778228609711 y[1] (numeric) = 1.109778228609711 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1199999206666808 y[1] (closed_form) = 1.119712128526115 y[1] (numeric) = 1.119712128526114 absolute error = 8.881784197001252e-16 relative error = 7.932203260754539e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1299999140000153 y[1] (closed_form) = 1.129634057345387 y[1] (numeric) = 1.129634057345385 absolute error = 1.998401444325282e-15 relative error = 1.769069754342816e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1399999073333497 y[1] (closed_form) = 1.139543022884236 y[1] (numeric) = 1.139543022884235 absolute error = 1.554312234475219e-15 relative error = 1.363978545137491e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1499999006666842 y[1] (closed_form) = 1.149438034255689 y[1] (numeric) = 1.149438034255688 absolute error = 4.440892098500626e-16 relative error = 3.863533279874715e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1599998940000187 y[1] (closed_form) = 1.159318101968172 y[1] (numeric) = 1.15931810196817 absolute error = 1.332267629550188e-15 relative error = 1.149182116011473e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1699998873333531 y[1] (closed_form) = 1.169182238024464 y[1] (numeric) = 1.169182238024463 absolute error = 8.881784197001252e-16 relative error = 7.596578110875654e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1799998806666876 y[1] (closed_form) = 1.179029456020496 y[1] (numeric) = 1.179029456020497 absolute error = 4.440892098500626e-16 relative error = 3.766565861288733e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.189999874000022 y[1] (closed_form) = 1.188858771243987 y[1] (numeric) = 1.188858771243988 absolute error = 1.110223024625157e-15 relative error = 9.338561076211362e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1999998673333565 y[1] (closed_form) = 1.198669200772916 y[1] (numeric) = 1.198669200772918 absolute error = 1.554312234475219e-15 relative error = 1.296698232901104e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2099998606666909 y[1] (closed_form) = 1.208459763573814 y[1] (numeric) = 1.208459763573816 absolute error = 1.77635683940025e-15 relative error = 1.469934616728138e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2199998540000254 y[1] (closed_form) = 1.218229480599864 y[1] (numeric) = 1.218229480599866 absolute error = 1.998401444325282e-15 relative error = 1.640414614938768e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2299998473333598 y[1] (closed_form) = 1.227977374888809 y[1] (numeric) = 1.22797737488881 absolute error = 1.554312234475219e-15 relative error = 1.265749895934328e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2399998406666943 y[1] (closed_form) = 1.237702471660641 y[1] (numeric) = 1.237702471660643 absolute error = 1.998401444325282e-15 relative error = 1.614605682772857e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2499998340000288 y[1] (closed_form) = 1.247403798415085 y[1] (numeric) = 1.247403798415086 absolute error = 8.881784197001252e-16 relative error = 7.120215769974555e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.259999827333366 y[1] (closed_form) = 1.257080385028847 y[1] (numeric) = 1.257080385028845 absolute error = 1.998401444325282e-15 relative error = 1.589716511469888e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2699998206667032 y[1] (closed_form) = 1.266731263852615 y[1] (numeric) = 1.26673126385261 absolute error = 4.440892098500626e-15 relative error = 3.505788658751639e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2799998140000404 y[1] (closed_form) = 1.276355469807836 y[1] (numeric) = 1.27635546980783 absolute error = 5.995204332975845e-15 relative error = 4.697127465500236e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2899998073333777 y[1] (closed_form) = 1.285952040483219 y[1] (numeric) = 1.285952040483211 absolute error = 8.881784197001252e-15 relative error = 6.906777171615019e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2999998006667149 y[1] (closed_form) = 1.295520016230973 y[1] (numeric) = 1.295520016230962 absolute error = 1.06581410364015e-14 relative error = 8.226921161287025e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3099997940000521 y[1] (closed_form) = 1.305058440262771 y[1] (numeric) = 1.305058440262759 absolute error = 1.243449787580175e-14 relative error = 9.527924184987522e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3199997873333894 y[1] (closed_form) = 1.314566358745432 y[1] (numeric) = 1.314566358745418 absolute error = 1.398881011027697e-14 relative error = 1.064138757029148e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3299997806667266 y[1] (closed_form) = 1.324042820896297 y[1] (numeric) = 1.32404282089628 absolute error = 1.643130076445232e-14 relative error = 1.240994664608303e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3399997740000638 y[1] (closed_form) = 1.333486879078312 y[1] (numeric) = 1.333486879078293 absolute error = 1.84297022087776e-14 relative error = 1.382068507604362e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.349999767333401 y[1] (closed_form) = 1.342897588894788 y[1] (numeric) = 1.342897588894767 absolute error = 2.065014825802791e-14 relative error = 1.537730682428516e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3599997606667383 y[1] (closed_form) = 1.35227400928384 y[1] (numeric) = 1.352274009283818 absolute error = 2.242650509742816e-14 relative error = 1.658429056793391e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3699997540000755 y[1] (closed_form) = 1.361615202612494 y[1] (numeric) = 1.36161520261247 absolute error = 2.398081733190338e-14 relative error = 1.761203700273912e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3799997473334127 y[1] (closed_form) = 1.370920234770447 y[1] (numeric) = 1.37092023477042 absolute error = 2.620126338115369e-14 relative error = 1.91121720408051e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.38999974066675 y[1] (closed_form) = 1.380188175263476 y[1] (numeric) = 1.380188175263448 absolute error = 2.842170943040401e-14 relative error = 2.059263362764164e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3999997340000872 y[1] (closed_form) = 1.389418097306493 y[1] (numeric) = 1.389418097306462 absolute error = 3.019806626980426e-14 relative error = 2.173432628259688e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4099997273334244 y[1] (closed_form) = 1.398609077916214 y[1] (numeric) = 1.398609077916182 absolute error = 3.175237850427948e-14 relative error = 2.27028259759241e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4199997206667617 y[1] (closed_form) = 1.407760198003464 y[1] (numeric) = 1.407760198003429 absolute error = 3.463895836830488e-14 relative error = 2.46057236292311e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4299997140000989 y[1] (closed_form) = 1.416870542465079 y[1] (numeric) = 1.416870542465041 absolute error = 3.819167204710538e-14 relative error = 2.695494817801724e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4399997073334361 y[1] (closed_form) = 1.425939200275421 y[1] (numeric) = 1.425939200275381 absolute error = 4.04121180963557e-14 relative error = 2.834070210605759e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4499997006667734 y[1] (closed_form) = 1.434965264577474 y[1] (numeric) = 1.434965264577431 absolute error = 4.307665335545607e-14 relative error = 3.001930041013223e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4599996940001106 y[1] (closed_form) = 1.443947832773534 y[1] (numeric) = 1.443947832773487 absolute error = 4.640732242933154e-14 relative error = 3.213919601249887e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4699996873334478 y[1] (closed_form) = 1.452886006615463 y[1] (numeric) = 1.452886006615415 absolute error = 4.884981308350689e-14 relative error = 3.362260553207738e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4799996806667851 y[1] (closed_form) = 1.461778892294519 y[1] (numeric) = 1.461778892294467 absolute error = 5.173639294753229e-14 relative error = 3.539276235294582e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4899996740001223 y[1] (closed_form) = 1.470625600530729 y[1] (numeric) = 1.470625600530675 absolute error = 5.417888360170764e-14 relative error = 3.684070478723831e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4999996673334595 y[1] (closed_form) = 1.479425246661822 y[1] (numeric) = 1.479425246661766 absolute error = 5.551115123125783e-14 relative error = 3.75221062074703e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5099996606667913 y[1] (closed_form) = 1.488176950731685 y[1] (numeric) = 1.488176950731633 absolute error = 5.195843755245733e-14 relative error = 3.491415286798466e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5199996540001229 y[1] (closed_form) = 1.496879837578378 y[1] (numeric) = 1.496879837578328 absolute error = 4.996003610813204e-14 relative error = 3.337611667544163e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5299996473334546 y[1] (closed_form) = 1.505533036921627 y[1] (numeric) = 1.505533036921579 absolute error = 4.796163466380676e-14 relative error = 3.185691279274365e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5399996406667863 y[1] (closed_form) = 1.514135683449863 y[1] (numeric) = 1.514135683449817 absolute error = 4.551914400963142e-14 relative error = 3.006279061194761e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.549999634000118 y[1] (closed_form) = 1.52268691690675 y[1] (numeric) = 1.522686916906707 absolute error = 4.307665335545607e-14 relative error = 2.828989523530143e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5599996273334497 y[1] (closed_form) = 1.531185882177207 y[1] (numeric) = 1.531185882177165 absolute error = 4.174438572590589e-14 relative error = 2.726278122846141e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5699996206667813 y[1] (closed_form) = 1.539631729372924 y[1] (numeric) = 1.539631729372885 absolute error = 3.885780586188048e-14 relative error = 2.523837689270464e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.579999614000113 y[1] (closed_form) = 1.548023613917344 y[1] (numeric) = 1.548023613917308 absolute error = 3.61932706027801e-14 relative error = 2.338030910987939e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5899996073334447 y[1] (closed_form) = 1.556360696630127 y[1] (numeric) = 1.556360696630092 absolute error = 3.419486915845482e-14 relative error = 2.197104387979885e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5999996006667764 y[1] (closed_form) = 1.564642143811059 y[1] (numeric) = 1.564642143811027 absolute error = 3.130828929442941e-14 relative error = 2.000987217317988e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6099995940001081 y[1] (closed_form) = 1.572867127323427 y[1] (numeric) = 1.572867127323398 absolute error = 2.90878432451791e-14 relative error = 1.849351591108547e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6199995873334397 y[1] (closed_form) = 1.581034824676832 y[1] (numeric) = 1.581034824676806 absolute error = 2.620126338115369e-14 relative error = 1.657222407261605e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6299995806667714 y[1] (closed_form) = 1.589144419109434 y[1] (numeric) = 1.589144419109409 absolute error = 2.509104035652854e-14 relative error = 1.578902461903979e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6399995740001031 y[1] (closed_form) = 1.597195099669628 y[1] (numeric) = 1.597195099669606 absolute error = 2.19824158875781e-14 relative error = 1.376313757293962e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6499995673334348 y[1] (closed_form) = 1.60518606129714 y[1] (numeric) = 1.605186061297121 absolute error = 1.931788062847772e-14 relative error = 1.203466756549523e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6599995606667665 y[1] (closed_form) = 1.613116504903533 y[1] (numeric) = 1.613116504903516 absolute error = 1.731947918415244e-14 relative error = 1.07366573533312e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6699995540000981 y[1] (closed_form) = 1.620985637452112 y[1] (numeric) = 1.620985637452096 absolute error = 1.554312234475219e-14 relative error = 9.588686034987387e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6799995473334298 y[1] (closed_form) = 1.628792672037228 y[1] (numeric) = 1.628792672037215 absolute error = 1.376676550535194e-14 relative error = 8.452128832414886e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6899995406667615 y[1] (closed_form) = 1.636536827962971 y[1] (numeric) = 1.63653682796296 absolute error = 1.154631945610163e-14 relative error = 7.055337380017017e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6999995340000932 y[1] (closed_form) = 1.644217330821233 y[1] (numeric) = 1.644217330821224 absolute error = 9.547918011776346e-15 relative error = 5.806968356797135e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7099995273334249 y[1] (closed_form) = 1.651833412569153 y[1] (numeric) = 1.651833412569145 absolute error = 8.215650382226158e-15 relative error = 4.973655527071628e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7199995206667565 y[1] (closed_form) = 1.659384311605919 y[1] (numeric) = 1.659384311605914 absolute error = 4.662936703425657e-15 relative error = 2.810040248550356e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7299995140000882 y[1] (closed_form) = 1.666869272848925 y[1] (numeric) = 1.666869272848923 absolute error = 1.998401444325282e-15 relative error = 1.198895124456712e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7399995073334199 y[1] (closed_form) = 1.674287547809284 y[1] (numeric) = 1.674287547809283 absolute error = 4.440892098500626e-16 relative error = 2.652407051770347e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7499995006667516 y[1] (closed_form) = 1.68163839466667 y[1] (numeric) = 1.681638394666671 absolute error = 1.554312234475219e-15 relative error = 9.24284459372915e-14 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 16 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7599994940000833 y[1] (closed_form) = 1.688921078343502 y[1] (numeric) = 1.688921078343506 absolute error = 3.774758283725532e-15 relative error = 2.235011648636551e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7699994873334149 y[1] (closed_form) = 1.696134870578454 y[1] (numeric) = 1.69613487057846 absolute error = 5.995204332975845e-15 relative error = 3.534627131939824e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7799994806667466 y[1] (closed_form) = 1.703279049999275 y[1] (numeric) = 1.703279049999282 absolute error = 7.771561172376096e-15 relative error = 4.562705783517625e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7899994740000783 y[1] (closed_form) = 1.710352902194929 y[1] (numeric) = 1.710352902194939 absolute error = 1.06581410364015e-14 relative error = 6.231544976901379e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.79999946733341 y[1] (closed_form) = 1.717355719787034 y[1] (numeric) = 1.717355719787046 absolute error = 1.199040866595169e-14 relative error = 6.981901610598531e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8099994606667417 y[1] (closed_form) = 1.724286802500601 y[1] (numeric) = 1.724286802500615 absolute error = 1.398881011027697e-14 relative error = 8.112809359782882e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8199994540000733 y[1] (closed_form) = 1.731145457234058 y[1] (numeric) = 1.731145457234074 absolute error = 1.576516694967722e-14 relative error = 9.106783536760718e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.829999447333405 y[1] (closed_form) = 1.737930998128562 y[1] (numeric) = 1.73793099812858 absolute error = 1.820765760385257e-14 relative error = 1.047662860232019e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8399994406667367 y[1] (closed_form) = 1.744642746636582 y[1] (numeric) = 1.744642746636603 absolute error = 2.020605904817785e-14 relative error = 1.158177459948875e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8499994340000684 y[1] (closed_form) = 1.751280031589757 y[1] (numeric) = 1.751280031589779 absolute error = 2.19824158875781e-14 relative error = 1.255219924344318e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8599994273334001 y[1] (closed_form) = 1.757842189266006 y[1] (numeric) = 1.757842189266031 absolute error = 2.442490654175344e-14 relative error = 1.389482326166728e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8699994206667317 y[1] (closed_form) = 1.764328563455906 y[1] (numeric) = 1.764328563455932 absolute error = 2.620126338115369e-14 relative error = 1.485055784044643e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8799994140000634 y[1] (closed_form) = 1.770738505528307 y[1] (numeric) = 1.770738505528335 absolute error = 2.797762022055394e-14 relative error = 1.579997279847185e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8899994073333951 y[1] (closed_form) = 1.777071374495198 y[1] (numeric) = 1.777071374495229 absolute error = 3.019806626980426e-14 relative error = 1.699316454207273e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8999994006667268 y[1] (closed_form) = 1.783326537075806 y[1] (numeric) = 1.783326537075837 absolute error = 3.153033389935445e-14 relative error = 1.768062844567773e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9099993940000585 y[1] (closed_form) = 1.789503367759917 y[1] (numeric) = 1.789503367759951 absolute error = 3.419486915845482e-14 relative error = 1.910858050033157e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9199993873333902 y[1] (closed_form) = 1.795601248870435 y[1] (numeric) = 1.795601248870471 absolute error = 3.552713678800501e-14 relative error = 1.97856494087171e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9299993806667218 y[1] (closed_form) = 1.801619570625143 y[1] (numeric) = 1.801619570625182 absolute error = 3.841371665203042e-14 relative error = 2.132176918943063e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9399993740000535 y[1] (closed_form) = 1.807557731197684 y[1] (numeric) = 1.807557731197724 absolute error = 4.019007349143067e-14 relative error = 2.223446189173765e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9499993673333852 y[1] (closed_form) = 1.81341513677774 y[1] (numeric) = 1.81341513677778 absolute error = 4.063416270128073e-14 relative error = 2.240753475427785e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9599993606667169 y[1] (closed_form) = 1.819191201630415 y[1] (numeric) = 1.819191201630457 absolute error = 4.152234112098085e-14 relative error = 2.282461628209682e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9699993540000486 y[1] (closed_form) = 1.824885348154808 y[1] (numeric) = 1.824885348154851 absolute error = 4.307665335545607e-14 relative error = 2.360512861753867e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9799993473333802 y[1] (closed_form) = 1.830497006941771 y[1] (numeric) = 1.830497006941816 absolute error = 4.463096558993129e-14 relative error = 2.438188394773542e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9899993406667119 y[1] (closed_form) = 1.836025616830849 y[1] (numeric) = 1.836025616830894 absolute error = 4.551914400963142e-14 relative error = 2.479221618280125e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9999993340000436 y[1] (closed_form) = 1.841470624966398 y[1] (numeric) = 1.841470624966444 absolute error = 4.640732242933154e-14 relative error = 2.520122873541812e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.009999327333375 y[1] (closed_form) = 1.846831486852867 y[1] (numeric) = 1.846831486852915 absolute error = 4.75175454539567e-14 relative error = 2.572922640328707e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.019999320666707 y[1] (closed_form) = 1.852107666409251 y[1] (numeric) = 1.8521076664093 absolute error = 4.907185768843192e-14 relative error = 2.649514311636608e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.029999314000039 y[1] (closed_form) = 1.857298636022694 y[1] (numeric) = 1.857298636022744 absolute error = 5.040412531798211e-14 relative error = 2.713840646861178e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.03999930733337 y[1] (closed_form) = 1.862403876601252 y[1] (numeric) = 1.862403876601304 absolute error = 5.195843755245733e-14 relative error = 2.789858752188467e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.049999300666702 y[1] (closed_form) = 1.867422877625803 y[1] (numeric) = 1.867422877625856 absolute error = 5.329070518200751e-14 relative error = 2.853703133901843e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.059999294000034 y[1] (closed_form) = 1.872355137201096 y[1] (numeric) = 1.87235513720115 absolute error = 5.46229728115577e-14 relative error = 2.91734039799796e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.069999287333365 y[1] (closed_form) = 1.87720016210594 y[1] (numeric) = 1.877200162105996 absolute error = 5.595524044110789e-14 relative error = 2.980781781860407e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.079999280666697 y[1] (closed_form) = 1.88195746784253 y[1] (numeric) = 1.881957467842587 absolute error = 5.662137425588298e-14 relative error = 3.008642608740437e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.089999274000029 y[1] (closed_form) = 1.886626578684891 y[1] (numeric) = 1.886626578684949 absolute error = 5.861977570020827e-14 relative error = 3.107121269386034e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.099999267333361 y[1] (closed_form) = 1.89120702772645 y[1] (numeric) = 1.89120702772651 absolute error = 6.017408793468348e-14 relative error = 3.181782166229727e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.109999260666692 y[1] (closed_form) = 1.895698356926733 y[1] (numeric) = 1.895698356926795 absolute error = 6.195044477408373e-14 relative error = 3.267948434291863e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.119999254000024 y[1] (closed_form) = 1.90010011715716 y[1] (numeric) = 1.900100117157224 absolute error = 6.350475700855895e-14 relative error = 3.342179521759715e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.129999247333356 y[1] (closed_form) = 1.904411868245964 y[1] (numeric) = 1.90441186824603 absolute error = 6.661338147750939e-14 relative error = 3.497845323704208e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.139999240666687 y[1] (closed_form) = 1.908633179022203 y[1] (numeric) = 1.90863317902227 absolute error = 6.683542608243442e-14 relative error = 3.501742860651429e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.149999234000019 y[1] (closed_form) = 1.912763627358881 y[1] (numeric) = 1.912763627358949 absolute error = 6.816769371198461e-14 relative error = 3.56383259995955e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.159999227333351 y[1] (closed_form) = 1.916802800215157 y[1] (numeric) = 1.916802800215226 absolute error = 6.927791673660977e-14 relative error = 3.614243297684742e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.169999220666682 y[1] (closed_form) = 1.920750293677649 y[1] (numeric) = 1.92075029367772 absolute error = 7.038813976123492e-14 relative error = 3.664616894394074e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.179999214000014 y[1] (closed_form) = 1.924605713000828 y[1] (numeric) = 1.924605713000899 absolute error = 7.105427357601002e-14 relative error = 3.691887283511324e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.189999207333346 y[1] (closed_form) = 1.928368672646487 y[1] (numeric) = 1.928368672646559 absolute error = 7.172040739078511e-14 relative error = 3.719226951159512e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.199999200666677 y[1] (closed_form) = 1.932038796322301 y[1] (numeric) = 1.932038796322373 absolute error = 7.260858581048524e-14 relative error = 3.758132908547078e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.209999194000009 y[1] (closed_form) = 1.935615717019448 y[1] (numeric) = 1.935615717019523 absolute error = 7.482903185973555e-14 relative error = 3.865903298975109e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.219999187333341 y[1] (closed_form) = 1.939099077049317 y[1] (numeric) = 1.939099077049391 absolute error = 7.460698725481052e-14 relative error = 3.847507749234675e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.229999180666672 y[1] (closed_form) = 1.942488528079272 y[1] (numeric) = 1.942488528079348 absolute error = 7.638334409421077e-14 relative error = 3.932241709027669e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.239999174000004 y[1] (closed_form) = 1.945783731167487 y[1] (numeric) = 1.945783731167563 absolute error = 7.682743330406083e-14 relative error = 3.948405574239421e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.249999167333336 y[1] (closed_form) = 1.948984356796838 y[1] (numeric) = 1.948984356796915 absolute error = 7.749356711883593e-14 relative error = 3.976100005553501e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.259999160666667 y[1] (closed_form) = 1.952090084907856 y[1] (numeric) = 1.952090084907934 absolute error = 7.838174553853605e-14 relative error = 4.01527297047031e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.269999153999999 y[1] (closed_form) = 1.955100604930732 y[1] (numeric) = 1.955100604930811 absolute error = 7.926992395823618e-14 relative error = 4.054518921344443e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.279999147333331 y[1] (closed_form) = 1.958015615816374 y[1] (numeric) = 1.958015615816453 absolute error = 7.949196856316121e-14 relative error = 4.05982301269941e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.289999140666662 y[1] (closed_form) = 1.960834826066511 y[1] (numeric) = 1.960834826066592 absolute error = 8.08242361927114e-14 relative error = 4.121929859581648e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.299999133999994 y[1] (closed_form) = 1.963557953762844 y[1] (numeric) = 1.963557953762927 absolute error = 8.260059303211165e-14 relative error = 4.206679658923274e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.309999127333326 y[1] (closed_form) = 1.966184726595236 y[1] (numeric) = 1.966184726595319 absolute error = 8.348877145181177e-14 relative error = 4.246232326114443e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.319999120666657 y[1] (closed_form) = 1.968714881888941 y[1] (numeric) = 1.968714881889026 absolute error = 8.504308368628699e-14 relative error = 4.319725749453873e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.329999113999989 y[1] (closed_form) = 1.971148166630877 y[1] (numeric) = 1.971148166630963 absolute error = 8.548717289613705e-14 relative error = 4.336922730788589e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.339999107333321 y[1] (closed_form) = 1.973484337494922 y[1] (numeric) = 1.973484337495009 absolute error = 8.637535131583718e-14 relative error = 4.376794366935756e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.349999100666653 y[1] (closed_form) = 1.975723160866247 y[1] (numeric) = 1.975723160866336 absolute error = 8.837375276016246e-14 relative error = 4.472982577246063e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.359999093999984 y[1] (closed_form) = 1.97786441286468 y[1] (numeric) = 1.97786441286477 absolute error = 8.926193117986259e-14 relative error = 4.513046020711715e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.369999087333316 y[1] (closed_form) = 1.979907879367091 y[1] (numeric) = 1.97990787936718 absolute error = 8.992806499463768e-14 relative error = 4.542032785049809e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.379999080666648 y[1] (closed_form) = 1.981853356028804 y[1] (numeric) = 1.981853356028894 absolute error = 9.059419880941277e-14 relative error = 4.571185780916886e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.389999073999979 y[1] (closed_form) = 1.983700648304034 y[1] (numeric) = 1.983700648304126 absolute error = 9.237055564881302e-14 relative error = 4.656476556973719e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.399999067333311 y[1] (closed_form) = 1.985449571465339 y[1] (numeric) = 1.985449571465431 absolute error = 9.170442183403793e-14 relative error = 4.61882402615527e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.409999060666643 y[1] (closed_form) = 1.987099950622094 y[1] (numeric) = 1.987099950622186 absolute error = 9.14823772291129e-14 relative error = 4.603813572662655e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.419999053999974 y[1] (closed_form) = 1.988651620737979 y[1] (numeric) = 1.988651620738071 absolute error = 9.237055564881302e-14 relative error = 4.64488373355886e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.429999047333306 y[1] (closed_form) = 1.990104426647481 y[1] (numeric) = 1.990104426647574 absolute error = 9.237055564881302e-14 relative error = 4.641492899165092e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.439999040666638 y[1] (closed_form) = 1.991458223071415 y[1] (numeric) = 1.991458223071507 absolute error = 9.170442183403793e-14 relative error = 4.604888054975248e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.449999033999969 y[1] (closed_form) = 1.992712874631446 y[1] (numeric) = 1.992712874631538 absolute error = 9.192646643896296e-14 relative error = 4.613131555943042e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.459999027333301 y[1] (closed_form) = 1.993868255863632 y[1] (numeric) = 1.993868255863724 absolute error = 9.192646643896296e-14 relative error = 4.610458397570785e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.469999020666633 y[1] (closed_form) = 1.994924251230966 y[1] (numeric) = 1.994924251231057 absolute error = 9.126033262418787e-14 relative error = 4.574626458517199e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.479999013999964 y[1] (closed_form) = 1.995880755134931 y[1] (numeric) = 1.995880755135023 absolute error = 9.14823772291129e-14 relative error = 4.583559262934436e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.489999007333296 y[1] (closed_form) = 1.996737671926063 y[1] (numeric) = 1.996737671926154 absolute error = 9.103828801926284e-14 relative error = 4.559351451082047e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.499999000666628 y[1] (closed_form) = 1.99749491591351 y[1] (numeric) = 1.997494915913601 absolute error = 9.103828801926284e-14 relative error = 4.5576230154072e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.509998993999959 y[1] (closed_form) = 1.998152411373606 y[1] (numeric) = 1.998152411373697 absolute error = 9.103828801926284e-14 relative error = 4.556123321778025e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.519998987333291 y[1] (closed_form) = 1.99871009255744 y[1] (numeric) = 1.998710092557532 absolute error = 9.126033262418787e-14 relative error = 4.565961465047496e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.529998980666623 y[1] (closed_form) = 1.999167903697434 y[1] (numeric) = 1.999167903697524 absolute error = 9.015010959956271e-14 relative error = 4.509381599856186e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.539998973999954 y[1] (closed_form) = 1.999525799012914 y[1] (numeric) = 1.999525799013004 absolute error = 8.903988657493755e-14 relative error = 4.453050149135009e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.549998967333286 y[1] (closed_form) = 1.999783742714697 y[1] (numeric) = 1.999783742714787 absolute error = 8.948397578478762e-14 relative error = 4.474682630598523e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.559998960666618 y[1] (closed_form) = 1.999941709008661 y[1] (numeric) = 1.999941709008751 absolute error = 8.970602038971265e-14 relative error = 4.485431749617266e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.569998953999949 y[1] (closed_form) = 1.99999968209833 y[1] (numeric) = 1.99999968209842 absolute error = 9.015010959956271e-14 relative error = 4.50750619645001e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.579998947333281 y[1] (closed_form) = 1.99995765618645 y[1] (numeric) = 1.999957656186539 absolute error = 8.926193117986259e-14 relative error = 4.463191053258028e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.589998940666613 y[1] (closed_form) = 1.999815635475572 y[1] (numeric) = 1.99981563547566 absolute error = 8.837375276016246e-14 relative error = 4.41909500018218e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.599998933999945 y[1] (closed_form) = 1.99957363416763 y[1] (numeric) = 1.999573634167717 absolute error = 8.72635297355373e-14 relative error = 4.364106839799517e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.609998927333276 y[1] (closed_form) = 1.99923167646252 y[1] (numeric) = 1.999231676462608 absolute error = 8.770761894538737e-14 relative error = 4.387066290415073e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.619998920666608 y[1] (closed_form) = 1.998789796555684 y[1] (numeric) = 1.998789796555772 absolute error = 8.815170815523743e-14 relative error = 4.410254060088786e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.62999891399994 y[1] (closed_form) = 1.998248038634683 y[1] (numeric) = 1.998248038634771 absolute error = 8.79296635503124e-14 relative error = 4.400337788415443e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.639998907333271 y[1] (closed_form) = 1.997606456874787 y[1] (numeric) = 1.997606456874874 absolute error = 8.681944052568724e-14 relative error = 4.346173403019251e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.649998900666603 y[1] (closed_form) = 1.996865115433552 y[1] (numeric) = 1.99686511543364 absolute error = 8.770761894538737e-14 relative error = 4.392265570043003e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.659998893999935 y[1] (closed_form) = 1.996024088444404 y[1] (numeric) = 1.996024088444491 absolute error = 8.637535131583718e-14 relative error = 4.327370186356496e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.669998887333266 y[1] (closed_form) = 1.995083460009231 y[1] (numeric) = 1.995083460009317 absolute error = 8.659739592076221e-14 relative error = 4.340540015321541e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.679998880666598 y[1] (closed_form) = 1.994043324189966 y[1] (numeric) = 1.994043324190051 absolute error = 8.526512829121202e-14 relative error = 4.275991762909616e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.68999887399993 y[1] (closed_form) = 1.992903784999184 y[1] (numeric) = 1.992903784999269 absolute error = 8.459899447643693e-14 relative error = 4.245011480896533e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.699998867333261 y[1] (closed_form) = 1.991664956389706 y[1] (numeric) = 1.99166495638979 absolute error = 8.393286066166183e-14 relative error = 4.214205827761667e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.709998860666593 y[1] (closed_form) = 1.990326962243192 y[1] (numeric) = 1.990326962243275 absolute error = 8.304468224196171e-14 relative error = 4.172414071523527e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.719998853999925 y[1] (closed_form) = 1.988889936357766 y[1] (numeric) = 1.988889936357848 absolute error = 8.260059303211165e-14 relative error = 4.153100255682186e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.729998847333256 y[1] (closed_form) = 1.987354022434626 y[1] (numeric) = 1.987354022434708 absolute error = 8.260059303211165e-14 relative error = 4.1563099528146e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.739998840666588 y[1] (closed_form) = 1.985719374063679 y[1] (numeric) = 1.985719374063761 absolute error = 8.215650382226158e-14 relative error = 4.137367288416603e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.74999883399992 y[1] (closed_form) = 1.983986154708183 y[1] (numeric) = 1.983986154708265 absolute error = 8.171241461241152e-14 relative error = 4.118598026427775e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.759998827333251 y[1] (closed_form) = 1.982154537688398 y[1] (numeric) = 1.98215453768848 absolute error = 8.215650382226158e-14 relative error = 4.144808200377406e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.769998820666583 y[1] (closed_form) = 1.980224706164256 y[1] (numeric) = 1.980224706164337 absolute error = 8.104628079763643e-14 relative error = 4.092782023441424e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.779998813999915 y[1] (closed_form) = 1.978196853117042 y[1] (numeric) = 1.978196853117123 absolute error = 8.038014698286133e-14 relative error = 4.063303753426078e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.789998807333246 y[1] (closed_form) = 1.976071181330103 y[1] (numeric) = 1.976071181330182 absolute error = 7.949196856316121e-14 relative error = 4.022727992503529e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.799998800666578 y[1] (closed_form) = 1.973847903368561 y[1] (numeric) = 1.973847903368639 absolute error = 7.838174553853605e-14 relative error = 3.971012427288348e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.80999879399991 y[1] (closed_form) = 1.971527241558063 y[1] (numeric) = 1.971527241558141 absolute error = 7.815970093361102e-14 relative error = 3.96442409143902e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.819998787333241 y[1] (closed_form) = 1.969109427962548 y[1] (numeric) = 1.969109427962626 absolute error = 7.793765632868599e-14 relative error = 3.958015497865381e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.829998780666573 y[1] (closed_form) = 1.966594704361037 y[1] (numeric) = 1.966594704361115 absolute error = 7.793765632868599e-14 relative error = 3.963076690680329e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.839998773999905 y[1] (closed_form) = 1.963983322223461 y[1] (numeric) = 1.963983322223537 absolute error = 7.682743330406083e-14 relative error = 3.91181699125037e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.849998767333237 y[1] (closed_form) = 1.961275542685507 y[1] (numeric) = 1.961275542685583 absolute error = 7.616129948928574e-14 relative error = 3.883253415019935e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.859998760666568 y[1] (closed_form) = 1.958471636522514 y[1] (numeric) = 1.958471636522588 absolute error = 7.416289804496046e-14 relative error = 3.786774169303009e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.8699987539999 y[1] (closed_form) = 1.955571884122385 y[1] (numeric) = 1.955571884122459 absolute error = 7.371880883511039e-14 relative error = 3.769680339221775e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.879998747333232 y[1] (closed_form) = 1.95257657545756 y[1] (numeric) = 1.952576575457633 absolute error = 7.283063041541027e-14 relative error = 3.729975629680152e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.889998740666563 y[1] (closed_form) = 1.949486010056008 y[1] (numeric) = 1.94948601005608 absolute error = 7.238654120556021e-14 relative error = 3.713109036544488e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.899998733999895 y[1] (closed_form) = 1.946300496971282 y[1] (numeric) = 1.946300496971353 absolute error = 7.105427357601002e-14 relative error = 3.650735006571724e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.909998727333227 y[1] (closed_form) = 1.943020354751611 y[1] (numeric) = 1.943020354751681 absolute error = 7.016609515630989e-14 relative error = 3.611186830066929e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.919998720666558 y[1] (closed_form) = 1.939645911408047 y[1] (numeric) = 1.939645911408116 absolute error = 6.927791673660977e-14 relative error = 3.5716785382915e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.92999871399989 y[1] (closed_form) = 1.936177504381661 y[1] (numeric) = 1.93617750438173 absolute error = 6.861178292183467e-14 relative error = 3.543672146100394e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.939998707333222 y[1] (closed_form) = 1.932615480509805 y[1] (numeric) = 1.932615480509872 absolute error = 6.727951529228449e-14 relative error = 3.481267534633264e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.949998700666553 y[1] (closed_form) = 1.928960195991421 y[1] (numeric) = 1.928960195991487 absolute error = 6.616929226765933e-14 relative error = 3.430308847490268e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.959998693999885 y[1] (closed_form) = 1.925212016351428 y[1] (numeric) = 1.925212016351493 absolute error = 6.505906924303417e-14 relative error = 3.379319715982819e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.969998687333217 y[1] (closed_form) = 1.921371316404167 y[1] (numeric) = 1.921371316404231 absolute error = 6.439293542825908e-14 relative error = 3.351405055258659e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.979998680666548 y[1] (closed_form) = 1.917438480215919 y[1] (numeric) = 1.917438480215982 absolute error = 6.306066779870889e-14 relative error = 3.288797447707827e-12 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.98999867399988 y[1] (closed_form) = 1.913413901066503 y[1] (numeric) = 1.913413901066565 absolute error = 6.195044477408373e-14 relative error = 3.237691789505326e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.999998667333212 y[1] (closed_form) = 1.909297981409942 y[1] (numeric) = 1.909297981410002 absolute error = 6.017408793468348e-14 relative error = 3.151634188092906e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.009998660666565 y[1] (closed_form) = 1.905091132834215 y[1] (numeric) = 1.905091132834283 absolute error = 6.816769371198461e-14 relative error = 3.578185449352816e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.019998653999919 y[1] (closed_form) = 1.90079377602012 y[1] (numeric) = 1.900793776020196 absolute error = 7.593925488436071e-14 relative error = 3.995133814219564e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.029998647333273 y[1] (closed_form) = 1.896406340699186 y[1] (numeric) = 1.896406340699271 absolute error = 8.459899447643693e-14 relative error = 4.461016221093531e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.039998640666627 y[1] (closed_form) = 1.891929265610703 y[1] (numeric) = 1.891929265610795 absolute error = 9.214851104388799e-14 relative error = 4.870610794962412e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.049998633999981 y[1] (closed_form) = 1.887362998457853 y[1] (numeric) = 1.887362998457954 absolute error = 1.014743844507393e-13 relative error = 5.376516575436368e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.059998627333335 y[1] (closed_form) = 1.882707995862936 y[1] (numeric) = 1.882707995863047 absolute error = 1.114663916723657e-13 relative error = 5.920535309633893e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.069998620666689 y[1] (closed_form) = 1.877964723321712 y[1] (numeric) = 1.877964723321832 absolute error = 1.196820420545919e-13 relative error = 6.372965400697214e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.079998614000043 y[1] (closed_form) = 1.873133655156851 y[1] (numeric) = 1.87313365515698 absolute error = 1.292299600663682e-13 relative error = 6.899131821725069e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.089998607333396 y[1] (closed_form) = 1.868215274470498 y[1] (numeric) = 1.868215274470637 absolute error = 1.383337888682945e-13 relative error = 7.404595752890521e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.09999860066675 y[1] (closed_form) = 1.863210073095969 y[1] (numeric) = 1.863210073096115 absolute error = 1.463273946455956e-13 relative error = 7.853510280912844e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.109998594000104 y[1] (closed_form) = 1.858118551548561 y[1] (numeric) = 1.858118551548717 absolute error = 1.56097357262297e-13 relative error = 8.40082873787601e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.119998587333458 y[1] (closed_form) = 1.852941218975509 y[1] (numeric) = 1.852941218975674 absolute error = 1.654232306691483e-13 relative error = 8.927602720209917e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.129998580666812 y[1] (closed_form) = 1.847678593105064 y[1] (numeric) = 1.847678593105239 absolute error = 1.751931932858497e-13 relative error = 9.481800240562064e-12 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 14 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.139998574000166 y[1] (closed_form) = 1.842331200194727 y[1] (numeric) = 1.842331200194912 absolute error = 1.849631559025511e-13 relative error = 1.003962565921921e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.14999856733352 y[1] (closed_form) = 1.836899574978619 y[1] (numeric) = 1.836899574978815 absolute error = 1.960653861488026e-13 relative error = 1.06737128594025e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.159998560666874 y[1] (closed_form) = 1.831384260614012 y[1] (numeric) = 1.831384260614218 absolute error = 2.067235271852041e-13 relative error = 1.128782919188655e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.169998554000228 y[1] (closed_form) = 1.82578580862701 y[1] (numeric) = 1.825785808627227 absolute error = 2.176037128265307e-13 relative error = 1.191835930580316e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.179998547333581 y[1] (closed_form) = 1.8201047788574 y[1] (numeric) = 1.820104778857628 absolute error = 2.282618538629322e-13 relative error = 1.254113809899599e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.189998540666935 y[1] (closed_form) = 1.814341739402669 y[1] (numeric) = 1.814341739402908 absolute error = 2.389199948993337e-13 relative error = 1.316841197612489e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.199998534000289 y[1] (closed_form) = 1.808497266561189 y[1] (numeric) = 1.808497266561439 absolute error = 2.502442697505103e-13 relative error = 1.383713840089697e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.209998527333643 y[1] (closed_form) = 1.802571944774596 y[1] (numeric) = 1.802571944774859 absolute error = 2.62234678416462e-13 relative error = 1.4547806492642e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.219998520666997 y[1] (closed_form) = 1.796566366569342 y[1] (numeric) = 1.796566366569616 absolute error = 2.742250870824137e-13 relative error = 1.526384397399491e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.229998514000351 y[1] (closed_form) = 1.79048113249744 y[1] (numeric) = 1.790481132497726 absolute error = 2.866595849582154e-13 relative error = 1.601019858602868e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.239998507333705 y[1] (closed_form) = 1.784316851076415 y[1] (numeric) = 1.784316851076713 absolute error = 2.97983859809392e-13 relative error = 1.670016508725055e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.249998500667059 y[1] (closed_form) = 1.778074138728452 y[1] (numeric) = 1.778074138728762 absolute error = 3.099742684753437e-13 relative error = 1.743314644332067e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.259998494000413 y[1] (closed_form) = 1.77175361971875 y[1] (numeric) = 1.771753619719073 absolute error = 3.228528555609955e-13 relative error = 1.822222074038971e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.269998487333766 y[1] (closed_form) = 1.7653559260931 y[1] (numeric) = 1.765355926093436 absolute error = 3.352873534367973e-13 relative error = 1.899262060874148e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.27999848066712 y[1] (closed_form) = 1.758881697614681 y[1] (numeric) = 1.758881697615029 absolute error = 3.47499806707674e-13 relative error = 1.975686069045679e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.289998474000474 y[1] (closed_form) = 1.752331581700083 y[1] (numeric) = 1.752331581700443 absolute error = 3.608224830031759e-13 relative error = 2.059099355232256e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.299998467333828 y[1] (closed_form) = 1.745706233354563 y[1] (numeric) = 1.745706233354938 absolute error = 3.743672039036028e-13 relative error = 2.144502876547652e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.309998460667182 y[1] (closed_form) = 1.739006315106554 y[1] (numeric) = 1.739006315106942 absolute error = 3.883560140138798e-13 relative error = 2.23320646187581e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.319998454000536 y[1] (closed_form) = 1.732232496941402 y[1] (numeric) = 1.732232496941804 absolute error = 4.014566457044566e-13 relative error = 2.317567915469242e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.32999844733389 y[1] (closed_form) = 1.725385456234378 y[1] (numeric) = 1.725385456234792 absolute error = 4.138911435802584e-13 relative error = 2.398832922143485e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.339998440667244 y[1] (closed_form) = 1.718465877682932 y[1] (numeric) = 1.718465877683359 absolute error = 4.276579090856103e-13 relative error = 2.488602855834627e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.349998434000597 y[1] (closed_form) = 1.71147445323823 y[1] (numeric) = 1.711474453238671 absolute error = 4.405364961712621e-13 relative error = 2.574017364604747e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.359998427333951 y[1] (closed_form) = 1.70441188203596 y[1] (numeric) = 1.704411882036414 absolute error = 4.545253062815391e-13 relative error = 2.666757437401797e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.369998420667305 y[1] (closed_form) = 1.697278870326413 y[1] (numeric) = 1.697278870326883 absolute error = 4.691802502065912e-13 relative error = 2.764308555354609e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.379998414000659 y[1] (closed_form) = 1.690076131403867 y[1] (numeric) = 1.69007613140435 absolute error = 4.829470157119431e-13 relative error = 2.857545921974424e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.389998407334013 y[1] (closed_form) = 1.68280438553525 y[1] (numeric) = 1.682804385535747 absolute error = 4.96713781217295e-13 relative error = 2.951702440799767e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.399998400667367 y[1] (closed_form) = 1.67546435988812 y[1] (numeric) = 1.675464359888631 absolute error = 5.111466805374221e-13 relative error = 3.0507762073289e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.409998394000721 y[1] (closed_form) = 1.668056788457946 y[1] (numeric) = 1.668056788458472 absolute error = 5.264677582772492e-13 relative error = 3.156174069852552e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.419998387334075 y[1] (closed_form) = 1.660582411994711 y[1] (numeric) = 1.660582411995252 absolute error = 5.406786129924512e-13 relative error = 3.255957723549425e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.429998380667429 y[1] (closed_form) = 1.653041977928836 y[1] (numeric) = 1.653041977929391 absolute error = 5.551115123125783e-13 relative error = 3.358121086604831e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.439998374000782 y[1] (closed_form) = 1.645436240296438 y[1] (numeric) = 1.645436240297008 absolute error = 5.699885008425554e-13 relative error = 3.464057049939944e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.449998367334136 y[1] (closed_form) = 1.637765959663929 y[1] (numeric) = 1.637765959664514 absolute error = 5.846434447676074e-13 relative error = 3.569761853443191e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.45999836066749 y[1] (closed_form) = 1.630031903051957 y[1] (numeric) = 1.630031903052557 absolute error = 5.992983886926595e-13 relative error = 3.676605271164173e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.469998354000844 y[1] (closed_form) = 1.622234843858708 y[1] (numeric) = 1.622234843859321 absolute error = 6.128431095930864e-13 relative error = 3.777770597846087e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.479998347334198 y[1] (closed_form) = 1.614375561782563 y[1] (numeric) = 1.614375561783192 absolute error = 6.290523657526137e-13 relative error = 3.896567692452097e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.489998340667552 y[1] (closed_form) = 1.606454842744132 y[1] (numeric) = 1.606454842744775 absolute error = 6.423750420481156e-13 relative error = 3.998712101678601e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.499998334000906 y[1] (closed_form) = 1.598473478807664 y[1] (numeric) = 1.598473478808321 absolute error = 6.574740751830177e-13 relative error = 4.11313721434679e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.50999832733426 y[1] (closed_form) = 1.590432268101836 y[1] (numeric) = 1.590432268102509 absolute error = 6.732392421326949e-13 relative error = 4.233058242311689e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.519998320667614 y[1] (closed_form) = 1.582332014739945 y[1] (numeric) = 1.582332014740634 absolute error = 6.885603198725221e-13 relative error = 4.351553994094509e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.529998314000967 y[1] (closed_form) = 1.574173528739499 y[1] (numeric) = 1.574173528740203 absolute error = 7.045475314271243e-13 relative error = 4.475666237325707e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.539998307334321 y[1] (closed_form) = 1.56595762594121 y[1] (numeric) = 1.56595762594193 absolute error = 7.207567875866516e-13 relative error = 4.602658307267063e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.549998300667675 y[1] (closed_form) = 1.557685127927416 y[1] (numeric) = 1.557685127928152 absolute error = 7.365219545363288e-13 relative error = 4.728310884731314e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.559998294001029 y[1] (closed_form) = 1.549356861939921 y[1] (numeric) = 1.549356861940674 absolute error = 7.529532553007812e-13 relative error = 4.859779394903394e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.569998287334383 y[1] (closed_form) = 1.540973660797275 y[1] (numeric) = 1.540973660798045 absolute error = 7.700506898800086e-13 relative error = 4.997169708154498e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.579998280667737 y[1] (closed_form) = 1.532536362811487 y[1] (numeric) = 1.532536362812273 absolute error = 7.860379014346108e-13 relative error = 5.129000006189733e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.589998274001091 y[1] (closed_form) = 1.5240458117042 y[1] (numeric) = 1.524045811705004 absolute error = 8.031353360138382e-13 relative error = 5.269758493124073e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.599998267334445 y[1] (closed_form) = 1.515502856522318 y[1] (numeric) = 1.515502856523137 absolute error = 8.184564137536654e-13 relative error = 5.400560020268179e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.609998260667798 y[1] (closed_form) = 1.5069083515531 y[1] (numeric) = 1.506908351553935 absolute error = 8.344436253082677e-13 relative error = 5.537454381006286e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.619998254001152 y[1] (closed_form) = 1.498263156238736 y[1] (numeric) = 1.498263156239587 absolute error = 8.5087492607272e-13 relative error = 5.679075284803574e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.629998247334506 y[1] (closed_form) = 1.489568135090399 y[1] (numeric) = 1.489568135091267 absolute error = 8.679723606519474e-13 relative error = 5.827006769309495e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.63999824066786 y[1] (closed_form) = 1.4808241576018 y[1] (numeric) = 1.480824157602683 absolute error = 8.839595722065496e-13 relative error = 5.969375686294351e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.649998234001214 y[1] (closed_form) = 1.472032098162234 y[1] (numeric) = 1.472032098163134 absolute error = 8.999467837611519e-13 relative error = 6.11363559860342e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.659998227334568 y[1] (closed_form) = 1.463192835969148 y[1] (numeric) = 1.463192835970064 absolute error = 9.161560399206792e-13 relative error = 6.261348589188945e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.669998220667922 y[1] (closed_form) = 1.454307254940215 y[1] (numeric) = 1.454307254941148 absolute error = 9.330314298949816e-13 relative error = 6.415641720314031e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.679998214001276 y[1] (closed_form) = 1.445376243624949 y[1] (numeric) = 1.4453762436259 absolute error = 9.50572953684059e-13 relative error = 6.576647138602873e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.68999820733463 y[1] (closed_form) = 1.436400695115849 y[1] (numeric) = 1.436400695116818 absolute error = 9.690026558928366e-13 relative error = 6.746046971347953e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.699998200667983 y[1] (closed_form) = 1.427381506959088 y[1] (numeric) = 1.427381506960073 absolute error = 9.849898674474389e-13 relative error = 6.900676957388034e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.709998194001337 y[1] (closed_form) = 1.418319581064766 y[1] (numeric) = 1.418319581065768 absolute error = 1.002531391236516e-12 relative error = 7.06844497263369e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.719998187334691 y[1] (closed_form) = 1.409215823616709 y[1] (numeric) = 1.409215823617729 absolute error = 1.020294959630519e-12 relative error = 7.240161106138896e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.729998180668045 y[1] (closed_form) = 1.400071144981864 y[1] (numeric) = 1.400071144982903 absolute error = 1.038280572629446e-12 relative error = 7.41591294378755e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.739998174001399 y[1] (closed_form) = 1.390886459619255 y[1] (numeric) = 1.390886459620311 absolute error = 1.056266185628374e-12 relative error = 7.594194179714132e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.749998167334753 y[1] (closed_form) = 1.381662685988538 y[1] (numeric) = 1.381662685989613 absolute error = 1.075139977047002e-12 relative error = 7.781493905495258e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.759998160668107 y[1] (closed_form) = 1.372400746458161 y[1] (numeric) = 1.372400746459254 absolute error = 1.093125590045929e-12 relative error = 7.965061173764484e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.769998154001461 y[1] (closed_form) = 1.363101567213123 y[1] (numeric) = 1.363101567214234 absolute error = 1.110889158439932e-12 relative error = 8.149716684070413e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.779998147334815 y[1] (closed_form) = 1.35376607816236 y[1] (numeric) = 1.353766078163489 absolute error = 1.128208637624084e-12 relative error = 8.333852175964889e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.789998140668168 y[1] (closed_form) = 1.344395212845753 y[1] (numeric) = 1.344395212846899 absolute error = 1.145750161413162e-12 relative error = 8.522420717252414e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.799998134001522 y[1] (closed_form) = 1.334989908340775 y[1] (numeric) = 1.334989908341939 absolute error = 1.163735774412089e-12 relative error = 8.717187801505306e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.809998127334876 y[1] (closed_form) = 1.325551105168784 y[1] (numeric) = 1.325551105169967 absolute error = 1.182831610435642e-12 relative error = 8.923319559867365e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.81999812066823 y[1] (closed_form) = 1.316079747200975 y[1] (numeric) = 1.316079747202175 absolute error = 1.200151089619794e-12 relative error = 9.119136527799805e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.829998114001584 y[1] (closed_form) = 1.306576781563987 y[1] (numeric) = 1.306576781565207 absolute error = 1.219913059458122e-12 relative error = 9.336711601425156e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.839998107334938 y[1] (closed_form) = 1.297043158545199 y[1] (numeric) = 1.297043158546437 absolute error = 1.238120717061975e-12 relative error = 9.545717186856657e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.849998100668292 y[1] (closed_form) = 1.287479831497696 y[1] (numeric) = 1.287479831498952 absolute error = 1.255884285455977e-12 relative error = 9.754593856394903e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.859998094001646 y[1] (closed_form) = 1.277887756744939 y[1] (numeric) = 1.277887756746213 absolute error = 1.273869898454905e-12 relative error = 9.96855859782029e-11 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 13 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.869998087335 y[1] (closed_form) = 1.268267893485131 y[1] (numeric) = 1.268267893486422 absolute error = 1.291411422243982e-12 relative error = 1.018248138960022e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.879998080668353 y[1] (closed_form) = 1.258621203695299 y[1] (numeric) = 1.258621203696608 absolute error = 1.30939703524291e-12 relative error = 1.040342425027112e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.889998074001707 y[1] (closed_form) = 1.248948652035096 y[1] (numeric) = 1.248948652036423 absolute error = 1.327826737451687e-12 relative error = 1.063155587131676e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.899998067335061 y[1] (closed_form) = 1.239251205750338 y[1] (numeric) = 1.239251205751683 absolute error = 1.34470212742599e-12 relative error = 1.085092450333186e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.909998060668415 y[1] (closed_form) = 1.229529834576281 y[1] (numeric) = 1.229529834577645 absolute error = 1.363797963449542e-12 relative error = 1.109202822979511e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.919998054001769 y[1] (closed_form) = 1.219785510640643 y[1] (numeric) = 1.219785510642025 absolute error = 1.382005621053395e-12 relative error = 1.132990684835691e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.929998047335123 y[1] (closed_form) = 1.2100192083664 y[1] (numeric) = 1.2100192083678 absolute error = 1.400657367867097e-12 relative error = 1.15754969688297e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.939998040668477 y[1] (closed_form) = 1.200231904374337 y[1] (numeric) = 1.200231904375755 absolute error = 1.4184209362611e-12 relative error = 1.181789061840096e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.949998034001831 y[1] (closed_form) = 1.190424577385393 y[1] (numeric) = 1.190424577386831 absolute error = 1.437516772284653e-12 relative error = 1.207566442757729e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.959998027335184 y[1] (closed_form) = 1.180598208122787 y[1] (numeric) = 1.180598208124244 absolute error = 1.45727874212298e-12 relative error = 1.234356220513099e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.969998020668538 y[1] (closed_form) = 1.170753779213946 y[1] (numeric) = 1.170753779215421 absolute error = 1.475486399726833e-12 relative error = 1.260287539466657e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.979998014001892 y[1] (closed_form) = 1.160892275092244 y[1] (numeric) = 1.160892275093737 absolute error = 1.493249968120836e-12 relative error = 1.286295033707742e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.989998007335246 y[1] (closed_form) = 1.151014681898562 y[1] (numeric) = 1.151014681900075 absolute error = 1.513011937959163e-12 relative error = 1.314502726814482e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.9999980006686 y[1] (closed_form) = 1.141121987382669 y[1] (numeric) = 1.141121987384202 absolute error = 1.532329818587641e-12 relative error = 1.342827353719004e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.009997994001954 y[1] (closed_form) = 1.131215180804456 y[1] (numeric) = 1.131215180806008 absolute error = 1.552313833030894e-12 relative error = 1.372253360255452e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.019997987335308 y[1] (closed_form) = 1.121295252835003 y[1] (numeric) = 1.121295252836574 absolute error = 1.571631713659372e-12 relative error = 1.401621660027339e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.029997980668662 y[1] (closed_form) = 1.111363195457517 y[1] (numeric) = 1.111363195459109 absolute error = 1.591171638892774e-12 relative error = 1.431729650033744e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.039997974002016 y[1] (closed_form) = 1.101420001868137 y[1] (numeric) = 1.101420001869747 absolute error = 1.609823385706477e-12 relative error = 1.461589024147036e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.049997967335369 y[1] (closed_form) = 1.091466666376608 y[1] (numeric) = 1.091466666378237 absolute error = 1.628697177125105e-12 relative error = 1.492209727789457e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.059997960668723 y[1] (closed_form) = 1.081504184306859 y[1] (numeric) = 1.081504184308506 absolute error = 1.646460745519107e-12 relative error = 1.522380374861269e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.069997954002077 y[1] (closed_form) = 1.071533551897466 y[1] (numeric) = 1.071533551899131 absolute error = 1.66466840312296e-12 relative error = 1.553538291148395e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.079997947335431 y[1] (closed_form) = 1.061555766202033 y[1] (numeric) = 1.061555766203716 absolute error = 1.683764239146512e-12 relative error = 1.586128861765386e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.089997940668785 y[1] (closed_form) = 1.051571824989482 y[1] (numeric) = 1.051571824991186 absolute error = 1.70352620898484e-12 relative error = 1.619980840587735e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.099997934002139 y[1] (closed_form) = 1.041582726644285 y[1] (numeric) = 1.041582726646008 absolute error = 1.722844089613318e-12 relative error = 1.654063614480132e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.109997927335493 y[1] (closed_form) = 1.03158947006662 y[1] (numeric) = 1.031589470068363 absolute error = 1.742828104056571e-12 relative error = 1.689458989867373e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.119997920668847 y[1] (closed_form) = 1.021593054572485 y[1] (numeric) = 1.021593054574247 absolute error = 1.761701895475198e-12 relative error = 1.724465419562228e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.129997914002201 y[1] (closed_form) = 1.011594479793766 y[1] (numeric) = 1.011594479795547 absolute error = 1.781241820708601e-12 relative error = 1.760825959698538e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.139997907335554 y[1] (closed_form) = 1.001594745578275 y[1] (numeric) = 1.001594745580075 absolute error = 1.800115612127229e-12 relative error = 1.797249456503413e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.149997900668908 y[1] (closed_form) = 0.9915948518897679 y[1] (numeric) = 0.9915948518915866 absolute error = 1.818656336638469e-12 relative error = 1.834071983302957e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.159997894002262 y[1] (closed_form) = 0.981595798707947 y[1] (numeric) = 0.9815957987097846 absolute error = 1.837641150359559e-12 relative error = 1.872095574144068e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.169997887335616 y[1] (closed_form) = 0.9715985859284647 y[1] (numeric) = 0.9715985859303214 absolute error = 1.856736986383112e-12 relative error = 1.911012442045502e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.17999788066897 y[1] (closed_form) = 0.9616042132629349 y[1] (numeric) = 0.961604213264811 absolute error = 1.876165889314052e-12 relative error = 1.951079106598138e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.189997874002324 y[1] (closed_form) = 0.9516136801389632 y[1] (numeric) = 0.9516136801408587 absolute error = 1.89548376994253e-12 relative error = 1.991862674426595e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.199997867335678 y[1] (closed_form) = 0.9416279856002043 y[1] (numeric) = 0.9416279856021188 absolute error = 1.91446858366362e-12 relative error = 2.033147498736792e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.209997860669032 y[1] (closed_form) = 0.9316481282064595 y[1] (numeric) = 0.9316481282083935 absolute error = 1.934008508897023e-12 relative error = 2.075900171259114e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.219997854002385 y[1] (closed_form) = 0.921675105933821 y[1] (numeric) = 0.9216751059357742 absolute error = 1.953215367223038e-12 relative error = 2.119201608731835e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.229997847335739 y[1] (closed_form) = 0.9117099160748753 y[1] (numeric) = 0.911709916076848 absolute error = 1.972755292456441e-12 relative error = 2.163797121950383e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.239997840669093 y[1] (closed_form) = 0.9017535551389757 y[1] (numeric) = 0.9017535551409674 absolute error = 1.991740106177531e-12 relative error = 2.208741063261536e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.249997834002447 y[1] (closed_form) = 0.8918070187525911 y[1] (numeric) = 0.8918070187546019 absolute error = 2.010835942201084e-12 relative error = 2.254788199596956e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.259997827335801 y[1] (closed_form) = 0.8818713015597452 y[1] (numeric) = 0.8818713015617753 absolute error = 2.030042800527099e-12 relative error = 2.301971724146833e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.269997820669155 y[1] (closed_form) = 0.871947397122553 y[1] (numeric) = 0.8719473971246022 absolute error = 2.049249658853114e-12 relative error = 2.350198722555611e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.279997814002509 y[1] (closed_form) = 0.8620362978218651 y[1] (numeric) = 0.8620362978239338 absolute error = 2.068678561784054e-12 relative error = 2.399758069365583e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.289997807335863 y[1] (closed_form) = 0.8521389947580307 y[1] (numeric) = 0.8521389947601183 absolute error = 2.087663375505144e-12 relative error = 2.449909449453076e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.299997800669217 y[1] (closed_form) = 0.8422564776517891 y[1] (numeric) = 0.8422564776538961 absolute error = 2.106981256133622e-12 relative error = 2.501591037931682e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.30999779400257 y[1] (closed_form) = 0.8323897347452978 y[1] (numeric) = 0.8323897347474242 absolute error = 2.126410159064562e-12 relative error = 2.554584794003041e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.319997787335924 y[1] (closed_form) = 0.8225397527033096 y[1] (numeric) = 0.8225397527054551 absolute error = 2.145505995088115e-12 relative error = 2.608391859526332e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.329997780669278 y[1] (closed_form) = 0.8127075165145071 y[1] (numeric) = 0.8127075165166717 absolute error = 2.164601831111668e-12 relative error = 2.663445073567286e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.339997774002632 y[1] (closed_form) = 0.8028940093930048 y[1] (numeric) = 0.8028940093951882 absolute error = 2.183364600227833e-12 relative error = 2.719368403157568e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.349997767335986 y[1] (closed_form) = 0.7931002126800285 y[1] (numeric) = 0.7931002126822307 absolute error = 2.202238391646461e-12 relative error = 2.776746691574701e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.35999776066934 y[1] (closed_form) = 0.7833271057457821 y[1] (numeric) = 0.7833271057480028 absolute error = 2.220668093855238e-12 relative error = 2.834917976878902e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.369997754002694 y[1] (closed_form) = 0.7735756658915119 y[1] (numeric) = 0.7735756658937518 absolute error = 2.239874952181253e-12 relative error = 2.895482692827334e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.379997747336048 y[1] (closed_form) = 0.7638468682517771 y[1] (numeric) = 0.7638468682540358 absolute error = 2.258748743599881e-12 relative error = 2.957070111146098e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.389997740669402 y[1] (closed_form) = 0.7541416856969368 y[1] (numeric) = 0.7541416856992145 absolute error = 2.277622535018509e-12 relative error = 3.020152019462567e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.399997734002755 y[1] (closed_form) = 0.7444610887358651 y[1] (numeric) = 0.7444610887381614 absolute error = 2.296274281832211e-12 relative error = 3.084478579977106e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.409997727336109 y[1] (closed_form) = 0.7348060454189005 y[1] (numeric) = 0.7348060454212155 absolute error = 2.315037050948376e-12 relative error = 3.150541650250867e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.419997720669463 y[1] (closed_form) = 0.7251775212410412 y[1] (numeric) = 0.7251775212433748 absolute error = 2.333577775459617e-12 relative error = 3.217940031381585e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.429997714002817 y[1] (closed_form) = 0.7155764790453975 y[1] (numeric) = 0.715576479047749 absolute error = 2.351563388458544e-12 relative error = 3.286250257408694e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.439997707336171 y[1] (closed_form) = 0.7060038789269081 y[1] (numeric) = 0.7060038789292773 absolute error = 2.369215934550084e-12 relative error = 3.355811498020632e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.449997700669525 y[1] (closed_form) = 0.6964606781363314 y[1] (numeric) = 0.6964606781387186 absolute error = 2.387201547549012e-12 relative error = 3.427618561233e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.459997694002879 y[1] (closed_form) = 0.6869478309845213 y[1] (numeric) = 0.6869478309869272 absolute error = 2.405964316665177e-12 relative error = 3.502397428370932e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.469997687336233 y[1] (closed_form) = 0.6774662887469973 y[1] (numeric) = 0.6774662887494217 absolute error = 2.424394018873954e-12 relative error = 3.578619422315425e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.479997680669586 y[1] (closed_form) = 0.668016999568818 y[1] (numeric) = 0.66801699957126 absolute error = 2.442046564965494e-12 relative error = 3.655665299747988e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.48999767400294 y[1] (closed_form) = 0.6586009083697666 y[1] (numeric) = 0.6586009083722266 absolute error = 2.460032177964422e-12 relative error = 3.735239576352444e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.499997667336294 y[1] (closed_form) = 0.649218956749861 y[1] (numeric) = 0.6492189567523389 absolute error = 2.477906768660887e-12 relative error = 3.81675048594677e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.509997660669648 y[1] (closed_form) = 0.6398720828951939 y[1] (numeric) = 0.6398720828976905 absolute error = 2.49655851547459e-12 relative error = 3.901652505573534e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.519997654003002 y[1] (closed_form) = 0.6305612214841156 y[1] (numeric) = 0.6305612214866302 absolute error = 2.514544128473517e-12 relative error = 3.987787454729898e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.529997647336356 y[1] (closed_form) = 0.6212873035937669 y[1] (numeric) = 0.6212873035962995 absolute error = 2.532529741472445e-12 relative error = 4.07626186278604e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.53999764066971 y[1] (closed_form) = 0.6120512566069718 y[1] (numeric) = 0.6120512566095226 absolute error = 2.55084842137876e-12 relative error = 4.167703919962352e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.549997634003064 y[1] (closed_form) = 0.6028540041195011 y[1] (numeric) = 0.6028540041220698 absolute error = 2.568723012075225e-12 relative error = 4.260937133240037e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.559997627336418 y[1] (closed_form) = 0.5936964658477127 y[1] (numeric) = 0.5936964658502989 absolute error = 2.58615351356184e-12 relative error = 4.356019721069396e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.569997620669771 y[1] (closed_form) = 0.5845795575365818 y[1] (numeric) = 0.5845795575391852 absolute error = 2.603472992745992e-12 relative error = 4.453581996122182e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.579997614003125 y[1] (closed_form) = 0.5755041908681263 y[1] (numeric) = 0.5755041908707476 absolute error = 2.621236561139995e-12 relative error = 4.554678493628271e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.589997607336479 y[1] (closed_form) = 0.5664712733702404 y[1] (numeric) = 0.5664712733728784 absolute error = 2.638000928811834e-12 relative error = 4.656901510851481e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.599997600669833 y[1] (closed_form) = 0.557481708325942 y[1] (numeric) = 0.5574817083285976 absolute error = 2.655542452600912e-12 relative error = 4.763461137720952e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.609997594003187 y[1] (closed_form) = 0.5485363946830459 y[1] (numeric) = 0.5485363946857188 absolute error = 2.672861931785064e-12 relative error = 4.872715753581841e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.619997587336541 y[1] (closed_form) = 0.5396362269642691 y[1] (numeric) = 0.5396362269669586 absolute error = 2.689515277154442e-12 relative error = 4.983941297426132e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.629997580669895 y[1] (closed_form) = 0.53078209517778 y[1] (numeric) = 0.5307820951804862 absolute error = 2.706279644826282e-12 relative error = 5.098664158819904e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.639997574003249 y[1] (closed_form) = 0.5219748847281984 y[1] (numeric) = 0.5219748847309215 absolute error = 2.723044012498121e-12 relative error = 5.216810410171476e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.649997567336603 y[1] (closed_form) = 0.5132154763280556 y[1] (numeric) = 0.5132154763307958 absolute error = 2.740141447077349e-12 relative error = 5.339163710888964e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.659997560669956 y[1] (closed_form) = 0.5045047459097243 y[1] (numeric) = 0.5045047459124813 absolute error = 2.757016837051651e-12 relative error = 5.464798615680396e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.66999755400331 y[1] (closed_form) = 0.4958435645378261 y[1] (numeric) = 0.4958435645405999 absolute error = 2.773836715874722e-12 relative error = 5.59417710394246e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.679997547336664 y[1] (closed_form) = 0.4872327983221255 y[1] (numeric) = 0.4872327983249159 absolute error = 2.790434550092868e-12 relative error = 5.727107369828624e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.689997540670018 y[1] (closed_form) = 0.4786733083309206 y[1] (numeric) = 0.4786733083337272 absolute error = 2.806588295101164e-12 relative error = 5.863264665597125e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.699997534003372 y[1] (closed_form) = 0.4701659505049363 y[1] (numeric) = 0.4701659505077592 absolute error = 2.822908573563154e-12 relative error = 6.004068500773997e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.709997527336726 y[1] (closed_form) = 0.4617115755717314 y[1] (numeric) = 0.4617115755745707 absolute error = 2.839284363176375e-12 relative error = 6.149476238841374e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.71999752067008 y[1] (closed_form) = 0.4533110289606269 y[1] (numeric) = 0.4533110289634823 absolute error = 2.85538259703344e-12 relative error = 6.298947995111429e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.729997514003434 y[1] (closed_form) = 0.4449651507181632 y[1] (numeric) = 0.4449651507210347 absolute error = 2.871480830890505e-12 relative error = 6.453271287101929e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.739997507336787 y[1] (closed_form) = 0.4366747754240972 y[1] (numeric) = 0.4366747754269847 absolute error = 2.887523553596338e-12 relative error = 6.612526566921537e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.749997500670141 y[1] (closed_form) = 0.428440732107944 y[1] (numeric) = 0.4284407321108474 absolute error = 2.903455253999709e-12 relative error = 6.776795566832789e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.759997494003495 y[1] (closed_form) = 0.4202638441660759 y[1] (numeric) = 0.4202638441689952 absolute error = 2.919331443251849e-12 relative error = 6.946425403414469e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.769997487336849 y[1] (closed_form) = 0.4121449292793826 y[1] (numeric) = 0.4121449292823177 absolute error = 2.935041099050295e-12 relative error = 7.121381073842365e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.779997480670203 y[1] (closed_form) = 0.4040847993315049 y[1] (numeric) = 0.4040847993344555 absolute error = 2.950639732546279e-12 relative error = 7.30203100296683e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.789997474003557 y[1] (closed_form) = 0.3960842603276458 y[1] (numeric) = 0.3960842603306117 absolute error = 2.965905299134874e-12 relative error = 7.488066545945151e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.799997467336911 y[1] (closed_form) = 0.3881441123139719 y[1] (numeric) = 0.3881441123169532 absolute error = 2.981281888025933e-12 relative error = 7.680863353182483e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.809997460670265 y[1] (closed_form) = 0.3802651492976095 y[1] (numeric) = 0.3802651493006057 absolute error = 2.996214387707141e-12 relative error = 7.879276849959747e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.819997454003619 y[1] (closed_form) = 0.3724481591672435 y[1] (numeric) = 0.3724481591702547 absolute error = 3.011202398539581e-12 relative error = 8.08489000260419e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.829997447336972 y[1] (closed_form) = 0.3646939236143308 y[1] (numeric) = 0.364693923617357 absolute error = 3.02619040937202e-12 relative error = 8.297890952996138e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.839997440670326 y[1] (closed_form) = 0.3570032180549311 y[1] (numeric) = 0.3570032180579722 absolute error = 3.041122909053229e-12 relative error = 8.518474779085324e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.84999743400368 y[1] (closed_form) = 0.3493768115521657 y[1] (numeric) = 0.3493768115552218 absolute error = 3.056055408734437e-12 relative error = 8.747161539305923e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.859997427337034 y[1] (closed_form) = 0.3418154667393128 y[1] (numeric) = 0.3418154667423836 absolute error = 3.07076586381072e-12 relative error = 8.983694895680816e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.869997420670388 y[1] (closed_form) = 0.3343199397435447 y[1] (numeric) = 0.3343199397466299 absolute error = 3.085254274282079e-12 relative error = 9.22844828414591e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.879997414003742 y[1] (closed_form) = 0.326890980110315 y[1] (numeric) = 0.3268909801134151 absolute error = 3.100020240509593e-12 relative error = 9.483345913868402e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.889997407337096 y[1] (closed_form) = 0.3195293307284059 y[1] (numeric) = 0.31952933073152 absolute error = 3.114064561771102e-12 relative error = 9.745786262163204e-10 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 12 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.89999740067045 y[1] (closed_form) = 0.3122357277556395 y[1] (numeric) = 0.3122357277587675 absolute error = 3.128053371881379e-12 relative error = 1.001824292935958e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.909997394003804 y[1] (closed_form) = 0.3050109005452624 y[1] (numeric) = 0.3050109005484044 absolute error = 3.142042181991656e-12 relative error = 1.030140947872579e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.919997387337157 y[1] (closed_form) = 0.2978555715730118 y[1] (numeric) = 0.2978555715761675 absolute error = 3.155697925194545e-12 relative error = 1.0594725183514e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.929997380670511 y[1] (closed_form) = 0.2907704563648681 y[1] (numeric) = 0.2907704563680373 absolute error = 3.169187134943741e-12 relative error = 1.089927489389411e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.939997374003865 y[1] (closed_form) = 0.2837562634255032 y[1] (numeric) = 0.2837562634286859 absolute error = 3.182731855844168e-12 relative error = 1.121642855534625e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.949997367337219 y[1] (closed_form) = 0.2768136941674307 y[1] (numeric) = 0.2768136941706268 absolute error = 3.196110043290901e-12 relative error = 1.154606910941962e-09 % Desired digits = 8 Estimated correct digits = 11 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.959997360670573 y[1] (closed_form) = 0.2699434428408654 y[1] (numeric) = 0.2699434428440746 absolute error = 3.209266186132709e-12 relative error = 1.188866138906218e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.969997354003927 y[1] (closed_form) = 0.2631461964642985 y[1] (numeric) = 0.2631461964675209 absolute error = 3.222366817823286e-12 relative error = 1.22455382639759e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.979997347337281 y[1] (closed_form) = 0.2564226347557973 y[1] (numeric) = 0.2564226347590326 absolute error = 3.235300916060169e-12 relative error = 1.261706447693781e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.989997340670635 y[1] (closed_form) = 0.2497734300650331 y[1] (numeric) = 0.2497734300682812 absolute error = 3.24817950314582e-12 relative error = 1.300450373084158e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.999997334003988 y[1] (closed_form) = 0.2431992473060474 y[1] (numeric) = 0.2431992473093082 absolute error = 3.260863801202163e-12 relative error = 1.340819857513218e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.009997327337298 y[1] (closed_form) = 0.2367007438907899 y[1] (numeric) = 0.2367007438940343 absolute error = 3.244376989286479e-12 relative error = 1.37066615674997e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.019997320670607 y[1] (closed_form) = 0.2302785696632909 y[1] (numeric) = 0.2302785696665191 absolute error = 3.228195488702568e-12 relative error = 1.40186535526201e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.029997314003917 y[1] (closed_form) = 0.2239333668347651 y[1] (numeric) = 0.2239333668379773 absolute error = 3.212208277147965e-12 relative error = 1.434448256886244e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.039997307337226 y[1] (closed_form) = 0.2176657699193615 y[1] (numeric) = 0.2176657699225578 absolute error = 3.196359843471441e-12 relative error = 1.468471521569788e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.049997300670536 y[1] (closed_form) = 0.2114764056707131 y[1] (numeric) = 0.2114764056738939 absolute error = 3.180816721126689e-12 relative error = 1.504100048910181e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.059997294003845 y[1] (closed_form) = 0.2053658930192618 y[1] (numeric) = 0.2053658930224272 absolute error = 3.165440132235631e-12 relative error = 1.54136603975361e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.069997287337155 y[1] (closed_form) = 0.1993348430103659 y[1] (numeric) = 0.1993348430135161 absolute error = 3.150285587949497e-12 relative error = 1.58039886071783e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.079997280670464 y[1] (closed_form) = 0.1933838587431963 y[1] (numeric) = 0.1933838587463314 absolute error = 3.135075532512133e-12 relative error = 1.621167119576071e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.089997274003774 y[1] (closed_form) = 0.1875135353104271 y[1] (numeric) = 0.1875135353135474 absolute error = 3.120309566284618e-12 relative error = 1.664044977403349e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.099997267337083 y[1] (closed_form) = 0.1817244597387271 y[1] (numeric) = 0.1817244597418328 absolute error = 3.105710133510797e-12 relative error = 1.709021525212406e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.109997260670393 y[1] (closed_form) = 0.1760172109300572 y[1] (numeric) = 0.1760172109331485 absolute error = 3.09127723419067e-12 relative error = 1.756235778226841e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.119997254003702 y[1] (closed_form) = 0.1703923596037813 y[1] (numeric) = 0.1703923596068583 absolute error = 3.077038623899853e-12 relative error = 1.805854811245637e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.129997247337012 y[1] (closed_form) = 0.1648504682395948 y[1] (numeric) = 0.1648504682426579 absolute error = 3.063105324940807e-12 relative error = 1.858111388855061e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.139997240670321 y[1] (closed_form) = 0.1593920910212769 y[1] (numeric) = 0.1593920910243263 absolute error = 3.049366315011071e-12 relative error = 1.913122724893556e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.149997234003631 y[1] (closed_form) = 0.1540177737812732 y[1] (numeric) = 0.1540177737843089 absolute error = 3.035710571808181e-12 relative error = 1.971013148209319e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.15999722733694 y[1] (closed_form) = 0.1487280539461123 y[1] (numeric) = 0.1487280539491348 absolute error = 3.022443406663911e-12 relative error = 2.032194550033589e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.16999722067025 y[1] (closed_form) = 0.1435234604826645 y[1] (numeric) = 0.143523460485674 absolute error = 3.009481552851412e-12 relative error = 2.096856878123359e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.179997214003559 y[1] (closed_form) = 0.1384045138452451 y[1] (numeric) = 0.1384045138482416 absolute error = 2.996464187887682e-12 relative error = 2.165004669745188e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.189997207336869 y[1] (closed_form) = 0.1333717259235694 y[1] (numeric) = 0.1333717259265532 absolute error = 2.983779889831339e-12 relative error = 2.237190730770957e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.199997200670178 y[1] (closed_form) = 0.1284255999915647 y[1] (numeric) = 0.1284255999945359 absolute error = 2.97120661407746e-12 relative error = 2.313562571849083e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.209997194003487 y[1] (closed_form) = 0.1235666306570428 y[1] (numeric) = 0.1235666306600017 absolute error = 2.958952527443159e-12 relative error = 2.394621032967781e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.219997187336797 y[1] (closed_form) = 0.1187953038122402 y[1] (numeric) = 0.1187953038151872 absolute error = 2.946975996565016e-12 relative error = 2.480717588990559e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.229997180670106 y[1] (closed_form) = 0.1141120965852294 y[1] (numeric) = 0.1141120965881645 absolute error = 2.935124365777142e-12 relative error = 2.572141301062611e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.239997174003416 y[1] (closed_form) = 0.1095174772922057 y[1] (numeric) = 0.1095174772951293 absolute error = 2.923536412957617e-12 relative error = 2.669470193471743e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.249997167336725 y[1] (closed_form) = 0.1050119053906571 y[1] (numeric) = 0.1050119053935694 absolute error = 2.912295404833287e-12 relative error = 2.773300221531257e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.259997160670035 y[1] (closed_form) = 0.1005958314334183 y[1] (numeric) = 0.1005958314363195 absolute error = 2.901207052374843e-12 relative error = 2.884023135983596e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.269997154003344 y[1] (closed_form) = 0.09626969702361632 y[1] (numeric) = 0.09626969702650665 absolute error = 2.890326866733517e-12 relative error = 3.002322595888589e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.279997147336654 y[1] (closed_form) = 0.09203393477051014 y[1] (numeric) = 0.09203393477338982 absolute error = 2.879682603484923e-12 relative error = 3.128935659075659e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.289997140669963 y[1] (closed_form) = 0.0878889682462306 y[1] (numeric) = 0.08788896824909972 absolute error = 2.869121606963176e-12 relative error = 3.264484342249891e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.299997134003273 y[1] (closed_form) = 0.08383521194342314 y[1] (numeric) = 0.08383521194628206 absolute error = 2.858921432924433e-12 relative error = 3.410167835984954e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.309997127336582 y[1] (closed_form) = 0.07987307123379961 y[1] (numeric) = 0.07987307123664857 absolute error = 2.848957181278422e-12 relative error = 3.56685568398782e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.319997120669892 y[1] (closed_form) = 0.07600294232760085 y[1] (numeric) = 0.07600294233044014 absolute error = 2.839284363176375e-12 relative error = 3.735755848685446e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.329997114003201 y[1] (closed_form) = 0.07222521223397638 y[1] (numeric) = 0.07222521223680622 absolute error = 2.829847467467062e-12 relative error = 3.918088130083524e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.339997107336511 y[1] (closed_form) = 0.06854025872228386 y[1] (numeric) = 0.06854025872510441 absolute error = 2.820549349635826e-12 relative error = 4.115171728581186e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.34999710066982 y[1] (closed_form) = 0.06494845028431229 y[1] (numeric) = 0.06494845028712375 absolute error = 2.811459398621707e-12 relative error = 4.32875516862146e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.35999709400313 y[1] (closed_form) = 0.06145014609743327 y[1] (numeric) = 0.061450146100236 absolute error = 2.802730270090592e-12 relative error = 4.560982272762505e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.369997087336439 y[1] (closed_form) = 0.05804569598868403 y[1] (numeric) = 0.05804569599147819 absolute error = 2.794160736119267e-12 relative error = 4.813725959395829e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.379997080669749 y[1] (closed_form) = 0.0547354403997844 y[1] (numeric) = 0.05473544040257019 absolute error = 2.785792430071155e-12 relative error = 5.089558811848215e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.389997074003058 y[1] (closed_form) = 0.05151971035309333 y[1] (numeric) = 0.05151971035587102 absolute error = 2.777694740885295e-12 relative error = 5.391518550566768e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.399997067336368 y[1] (closed_form) = 0.04839882741850698 y[1] (numeric) = 0.04839882742127684 absolute error = 2.76985379077388e-12 relative error = 5.722977060627566e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.409997060669677 y[1] (closed_form) = 0.0453731036813021 y[1] (numeric) = 0.04537310368406425 absolute error = 2.762151618540543e-12 relative error = 6.087640902728909e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.419997054002986 y[1] (closed_form) = 0.04244284171092738 y[1] (numeric) = 0.04244284171368216 absolute error = 2.754782513214593e-12 relative error = 6.490570381637156e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.429997047336296 y[1] (closed_form) = 0.0396083345307473 y[1] (numeric) = 0.03960833453349501 absolute error = 2.747711780326512e-12 relative error = 6.937206052411792e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.439997040669605 y[1] (closed_form) = 0.03686986558874006 y[1] (numeric) = 0.03686986559148079 absolute error = 2.740731253059181e-12 relative error = 7.433526565109561e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.449997034002915 y[1] (closed_form) = 0.03422770872915237 y[1] (numeric) = 0.03422770873188652 absolute error = 2.734146242744373e-12 relative error = 7.988107718164757e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.459997027336224 y[1] (closed_form) = 0.0316821281651164 y[1] (numeric) = 0.03168212816784414 absolute error = 2.727741643671067e-12 relative error = 8.609717218032234e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.469997020669534 y[1] (closed_form) = 0.02923337845222773 y[1] (numeric) = 0.0292333784549493 absolute error = 2.721572966990493e-12 relative error = 9.309813340384185e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.479997014002843 y[1] (closed_form) = 0.02688170446309057 y[1] (numeric) = 0.02688170446580616 absolute error = 2.715591640445325e-12 relative error = 1.010200690277627e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.489997007336153 y[1] (closed_form) = 0.02462734136283051 y[1] (numeric) = 0.02462734136554041 absolute error = 2.709894808550217e-12 relative error = 1.100360273821599e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.499997000669462 y[1] (closed_form) = 0.02247051458557836 y[1] (numeric) = 0.02247051458828282 absolute error = 2.704458185176506e-12 relative error = 1.203558634528216e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.509996994002772 y[1] (closed_form) = 0.02041143981192695 y[1] (numeric) = 0.02041143981462622 absolute error = 2.699278300877239e-12 relative error = 1.322434049605839e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.519996987336081 y[1] (closed_form) = 0.01845032294736315 y[1] (numeric) = 0.01845032295005756 absolute error = 2.694403727909744e-12 relative error = 1.460355862386039e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.529996980669391 y[1] (closed_form) = 0.01658736010167783 y[1] (numeric) = 0.0165873601043675 absolute error = 2.689674871714232e-12 relative error = 1.621520757508706e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.5399969740027 y[1] (closed_form) = 0.01482273756935459 y[1] (numeric) = 0.01482273757203982 absolute error = 2.685221836551399e-12 relative error = 1.81155594503878e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.54999696733601 y[1] (closed_form) = 0.01315663181094084 y[1] (numeric) = 0.01315663181362192 absolute error = 2.681072377996863e-12 relative error = 2.037810601165661e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.559996960669319 y[1] (closed_form) = 0.01158920943540198 y[1] (numeric) = 0.01158920943807909 absolute error = 2.677110269577732e-12 relative error = 2.310002493698893e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.569996954002629 y[1] (closed_form) = 0.0101206271834603 y[1] (numeric) = 0.01012062718613372 absolute error = 2.673427451638233e-12 relative error = 2.641563020923545e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.579996947335938 y[1] (closed_form) = 0.008751031911921503 y[1] (numeric) = 0.00875103191459139 absolute error = 2.669886881023764e-12 relative error = 3.05093948678965e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.589996940669248 y[1] (closed_form) = 0.007480560578988604 y[1] (numeric) = 0.0074805605816553 absolute error = 2.666695857189705e-12 relative error = 3.564834251432866e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.599996934002557 y[1] (closed_form) = 0.00630934023056684 y[1] (numeric) = 0.006309340233230641 absolute error = 2.663801471070038e-12 relative error = 4.221996870868886e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.609996927335867 y[1] (closed_form) = 0.005237487987558964 y[1] (numeric) = 0.005237487990220079 absolute error = 2.661114384405749e-12 relative error = 5.080898306071371e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.619996920669176 y[1] (closed_form) = 0.004265111034153168 y[1] (numeric) = 0.004265111036811797 absolute error = 2.658628525664675e-12 relative error = 6.233433325359e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.629996914002485 y[1] (closed_form) = 0.003392306607104767 y[1] (numeric) = 0.003392306609761168 absolute error = 2.65640114072152e-12 relative error = 7.830663464080802e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.639996907335795 y[1] (closed_form) = 0.002619161986012752 y[1] (numeric) = 0.002619161988667195 absolute error = 2.654442204236274e-12 relative error = 1.013470040574783e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.649996900669104 y[1] (closed_form) = 0.001945754484591777 y[1] (numeric) = 0.001945754487244615 absolute error = 2.65283780186143e-12 relative error = 1.363398014944316e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.659996894002414 y[1] (closed_form) = 0.001372151442941227 y[1] (numeric) = 0.001372151445592619 absolute error = 2.651391476163334e-12 relative error = 1.932287787767826e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.669996887335723 y[1] (closed_form) = 0.0008984102208107192 y[1] (numeric) = 0.0008984102234608854 absolute error = 2.650166219288208e-12 relative error = 2.949839792446613e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.679996880669033 y[1] (closed_form) = 0.0005245781918644665 y[1] (numeric) = 0.0005245781945136825 absolute error = 2.649216024504242e-12 relative error = 5.050183300774178e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.689996874002342 y[1] (closed_form) = 0.0002506927389439584 y[1] (numeric) = 0.0002506927415925353 absolute error = 2.648576887323562e-12 relative error = 1.056503231198748e-06 % Desired digits = 8 Estimated correct digits = 7 Correct digits = 8 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.699996867335652 y[1] (closed_form) = 7.678125032983818e-05 y[1] (numeric) = 7.678125297798106e-05 absolute error = 2.648142881193916e-12 relative error = 3.448944722595658e-06 % Desired digits = 8 Estimated correct digits = 7 Correct digits = 8 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.709996860668961 y[1] (closed_form) = 2.861117002872504e-06 y[1] (numeric) = 2.861119650767868e-06 absolute error = 2.647895364190684e-12 relative error = 9.254760855750571e-05 % Desired digits = 8 Estimated correct digits = 5 Correct digits = 7 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.719996854002271 y[1] (closed_form) = 2.893973090478674e-05 y[1] (numeric) = 2.893973355277265e-05 absolute error = 2.647985912436262e-12 relative error = 9.150001847454204e-06 % Desired digits = 8 Estimated correct digits = 6 Correct digits = 8 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.72999684733558 y[1] (closed_form) = 0.0001550144841995227 y[1] (numeric) = 0.0001550144868478143 absolute error = 2.648291660837035e-12 relative error = 1.708415619683873e-06 % Desired digits = 8 Estimated correct digits = 7 Correct digits = 8 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.73999684066889 y[1] (closed_form) = 0.0003810727695335858 y[1] (numeric) = 0.0003810727721824355 absolute error = 2.648849726800268e-12 relative error = 6.951033866949686e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.749996834002199 y[1] (closed_form) = 0.0007070919812969256 y[1] (numeric) = 0.0007070919839466243 absolute error = 2.649698711311432e-12 relative error = 3.747318285877658e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.759996827335509 y[1] (closed_form) = 0.001133039517883572 y[1] (numeric) = 0.001133039520534354 absolute error = 2.650782588223266e-12 relative error = 2.339532334383816e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.769996820668818 y[1] (closed_form) = 0.001658872784951582 y[1] (numeric) = 0.001658872787603715 absolute error = 2.652133070449314e-12 relative error = 1.598756152073905e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.779996814002128 y[1] (closed_form) = 0.002284539199682634 y[1] (numeric) = 0.002284539202336302 absolute error = 2.653668517565988e-12 relative error = 1.161577143405827e-07 % Desired digits = 8 Estimated correct digits = 8 Correct digits = 9 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.789996807335437 y[1] (closed_form) = 0.003009976196039932 y[1] (numeric) = 0.003009976198695448 absolute error = 2.655516431748772e-12 relative error = 8.8223834967283e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.799996800668747 y[1] (closed_form) = 0.003835111231025201 y[1] (numeric) = 0.003835111233682775 absolute error = 2.657573813791281e-12 relative error = 6.92958731494434e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.809996794002056 y[1] (closed_form) = 0.004759861791932551 y[1] (numeric) = 0.004759861794592405 absolute error = 2.659853240438714e-12 relative error = 5.588089227605046e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.819996787335366 y[1] (closed_form) = 0.005784135404599655 y[1] (numeric) = 0.005784135407262173 absolute error = 2.662517775697815e-12 relative error = 4.603138739768314e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.829996780668675 y[1] (closed_form) = 0.006907829642655572 y[1] (numeric) = 0.006907829645320935 absolute error = 2.665363589560155e-12 relative error = 3.858467460027736e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.839996774001984 y[1] (closed_form) = 0.008130832137762667 y[1] (numeric) = 0.008130832140431119 absolute error = 2.668452264709131e-12 relative error = 3.281893193091304e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.849996767335294 y[1] (closed_form) = 0.009453020590853733 y[1] (numeric) = 0.00945302059352545 absolute error = 2.67171701429092e-12 relative error = 2.826310372026417e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.859996760668603 y[1] (closed_form) = 0.01087426278436143 y[1] (numeric) = 0.01087426278703672 absolute error = 2.67528707520448e-12 relative error = 2.46020086902064e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.869996754001913 y[1] (closed_form) = 0.01239441659544027 y[1] (numeric) = 0.01239441659811943 absolute error = 2.679160712726336e-12 relative error = 2.161586785546615e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.879996747335222 y[1] (closed_form) = 0.01401333001017879 y[1] (numeric) = 0.01401333001286197 absolute error = 2.683180067020174e-12 relative error = 1.914734088950454e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.889996740668532 y[1] (closed_form) = 0.0157308411388003 y[1] (numeric) = 0.0157308411414878 absolute error = 2.687496059028405e-12 relative error = 1.708424893059065e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.899996734001841 y[1] (closed_form) = 0.01754677823185213 y[1] (numeric) = 0.01754677823454429 absolute error = 2.692152056837926e-12 relative error = 1.534271432205682e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.909996727335151 y[1] (closed_form) = 0.0194609596973806 y[1] (numeric) = 0.01946095970007756 absolute error = 2.696964179760286e-12 relative error = 1.385833084132686e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.91999672066846 y[1] (closed_form) = 0.02147319411908943 y[1] (numeric) = 0.02147319412179141 absolute error = 2.701981000052811e-12 relative error = 1.258304183843232e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.92999671400177 y[1] (closed_form) = 0.02358328027548151 y[1] (numeric) = 0.02358328027818883 absolute error = 2.707320478911868e-12 relative error = 1.147982997821787e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.939996707335079 y[1] (closed_form) = 0.02579100715998095 y[1] (numeric) = 0.0257910071626939 absolute error = 2.712951391314888e-12 relative error = 1.051898196331194e-08 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 10 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.949996700668389 y[1] (closed_form) = 0.02809615400203358 y[1] (numeric) = 0.02809615400475232 absolute error = 2.718738428830747e-12 relative error = 9.676550137908437e-09 % Desired digits = 8 Estimated correct digits = 9 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.959996694001698 y[1] (closed_form) = 0.03049849028918339 y[1] (numeric) = 0.03049849029190816 absolute error = 2.724768327633242e-12 relative error = 8.934108874889491e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.969996687335008 y[1] (closed_form) = 0.03299777579012386 y[1] (numeric) = 0.03299777579285496 absolute error = 2.731093129426654e-12 relative error = 8.276597631298719e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.979996680668317 y[1] (closed_form) = 0.03559376057872099 y[1] (numeric) = 0.03559376058145858 absolute error = 2.737594873014615e-12 relative error = 7.691221237947053e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.989996674001627 y[1] (closed_form) = 0.03828618505900527 y[1] (numeric) = 0.03828618506174965 absolute error = 2.744381111252636e-12 relative error = 7.168071478062116e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.999996667334936 y[1] (closed_form) = 0.04107477999113129 y[1] (numeric) = 0.04107477999388271 absolute error = 2.751417149671198e-12 relative error = 6.698556024561235e-09 % Desired digits = 8 Estimated correct digits = 10 Correct digits = 11 h = 9.999993333334665e-05 NO POLE (given) for Equation 1 NO 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 ) = cos ( x ) ; Iterations = 49992 Total Elapsed Time = 1.0 Seconds Elapsed Time(since restart) = 1.0 Seconds Time to Timeout = 2 Minutes 59.0 Seconds Percent Done = 100 %